icon -- Would Ciero
prefer the spelling ‘eiconicus’ or ‘iconicus’? We know Pliny preferred ‘icon.’īcon ,
ŏnis, f., = εἰκών,I.an image, figure:
“fictae ceră icones,” Plin. 8, 54, 80, § 215.Iconicity -- depiction,
pictorial representation, also sometimes called “iconic representation.”
Linguistic representation is conventional: it is only by virtue of a convention
that the word ‘cats’ refers to cats. A picture of a cat, however, seems to
refer to cats by other than conventional means; for viewers can correctly
interpret pictures without special training, whereas people need special
training to learn languages. Though some philosophers, such as Goodman
Languages of Art, deny that depiction involves a non-conventional element, most
are concerned to give an account of what this non-conventional element consists
in. Some hold that it consists in resemblance: pictures refer to their objects
partly by resembling them. Objections to this are that anything resembles
anything else to some degree; and that resemblance is a symmetric and reflexive
relation, whereas depiction is not. Other philosophers avoid direct appeal to
resemblance: Richard Wollheim Painting as an Art argues that depiction holds by
virtue of the intentional deployment of the natural human capacity to see
objects in marked surfaces; and dependence, causal depiction Kendall Walton
Mimesis as Make-Believe argues that depiction holds by virtue of objects
serving as props in reasonably rich and vivid visual games of
make-believe.
materia-forma
distinction, the -- forma: ideatum – Cicero was a bit at a loss when trying to
translate the Greek eidos or idea. For ‘eidos’ he had forma, but the Romans
seemed to have liked the sound of ‘idea,’ and Martianus Capella even coined
‘ideal,’ which Kant and Grice later used. idea, in the seventeenth and
eighteenth centuries, whatever is immediately before the mind when one thinks.
The notion of thinking was taken in a very broad sense; it included perception,
memory, and imagination, in addition to thinking narrowly construed. In
connection with perception, ideas were often (though not always – Berkeley is
the exception) held to be representational images, i.e., images of something.
In other contexts, ideas were taken to be concepts, such as the concept of a
horse or of an infinite quantity, though concepts of these sorts certainly do
not appear to be images. An innate idea was either a concept or a general
truth, such as ‘Equals added to equals yield equals’, that was allegedly not
learned but was in some sense always in the mind. Sometimes, as in Descartes,
innate ideas were taken to be cognitive capacities rather than concepts or
general truths, but these capacities, too, were held to be inborn. An
adventitious idea, either an image or a concept, was an idea accompanied by a
judgment concerning the non-mental cause of that idea. So, a visual image was
an adventitious idea provided one judged of that idea that it was caused by
something outside one’s mind, presumably by the object being seen. From Idea
Alston coined ‘ideationalism’ to refer to Grice’s theory. “Grice’s is an
ideationalist theory of meaning, drawn from Locke.”Alston calls Grice an ideationalist, and Grice takes it as a
term of abuse. Grice would occasionally use ‘mental.’ Short and Lewis have
"mens.” “terra corpus est, at mentis ignis est;” so too, “istic est de
sole sumptus; isque totus mentis est;” f. from the root ‘men,’ whence ‘memini,’ and ‘comminiscor.’ Lewis and Short render
‘mens’ as ‘the mind, disposition; the heart, soul.’ Lewis and Short have
‘commĭniscor,’ originally conminiscor ), mentus, from ‘miniscor,’ whence also ‘reminiscor,’
stem ‘men,’ whence ‘mens’ and ‘memini,’
cf. Varro, Lingua Latina 6, § 44. Lewis and Short render the verb as,
literally, ‘to ponder carefully, to reflect upon;’ ‘hence, as a result of
reflection; cf. 1. commentor, II.), to devise something by careful thought, to
contrive, invent, feign. Myro is perhaps unaware of the implicatura of ‘mental’
when he qualifies his -ism with ‘modest.’ Grice would seldom use mind (Grecian
nous) or mental (Grecian noetikos vs. æsthetikos). His sympathies go for more
over-arching Grecian terms like the very Aristotelian soul, the anima, i. e.
the psyche and the psychological. Grice discusses G. Myro’s essay, ‘In defence
of a modal mentalism,’ with attending commentary by R. Albritton and S. Cavell.
Grice himself would hardly use mental, mentalist, or mentalism himself, but
perhaps psychologism. Grice would use mental, on occasion, but his Grecianism
was deeply rooted, unlike Myro’s. At Clifton and under Hardie (let us recall he
came up to Oxford under a classics scholarship to enrol in the Lit. Hum.) he
knows that mental translates mentalis translates nous, only ONE part, one
third, actually, of the soul, and even then it may not include the ‘practical
rational’ one! Cf. below on ‘telementational.’ formalism: Cicero’s
translation for ‘idealism,’ or ideism -- the philosophical doctrine that reality
is somehow mind-correlative or mind-coordinated – that the real objects
constituting the “external world” are not independent of cognizing minds, but
exist only as in some way correlative to mental operations. The doctrine
centers on the conception that reality as we understand it reflects the
workings of mind. Perhaps its most radical version is the ancient Oriental
spiritualistic or panpsychistic idea, renewed in Christian Science, that minds
and their thoughts are all there is – that reality is simply the sum total of
the visions (or dreams?) of one or more minds. A dispute has long raged within
the idealist camp over whether “the mind” at issue in such idealistic formulas
was a mind emplaced outside of or behind nature (absolute idealism), or a nature-pervasive
power of rationality of some sort (cosmic idealism), or the collective
impersonal social mind of people in general (social idealism), or simply the
distributive collection of individual minds (personal idealism). Over the
years, the less grandiose versions of the theory came increasingly to the fore,
and in recent times virtually all idealists have construed “the minds” at issue
in their theory as separate individual minds equipped with socially engendered
resources. There are certainly versions of idealism short of the spiritualistic
position of an ontological idealism that (as Kant puts it at Prolegomena,
section 13, n. 2) holds that “there are none but thinking beings.” Idealism
need certainly not go so far as to affirm that mind makes or constitutes
matter; it is quite enough to maintain (e.g.) that all of the characterizing
properties of physical existents resemble phenomenal sensory properties in
representing dispositions to affect mind-endowed creatures in a certain sort of
way, so that these properties have no standing without reference to minds.
Weaker still is an explanatory idealism which merely holds that an adequate
explanation of the real always requires some recourse to the operations of
mind. Historically, positions of the generally idealistic type have been
espoused by numerous thinkers. For example, Berkeley maintained that “to be
[real] is to be perceived” (esse est percipi). And while this does not seem
particularly plausible because of its inherent commitment to omniscience, it
seems more sensible to adopt “to be is to be perceivable” (esse est percipile
esse). For Berkeley, of course, this was a distinction without a difference: if
something is perceivable at all, then God perceives it. But if we forgo
philosophical reliance on God, the matter looks different, and pivots on the
question of what is perceivable for perceivers who are physically realizable in
“the real world,” so that physical existence could be seen – not so implausibly
– as tantamount to observability-in-principle. The three positions to the
effect that real things just exactly are things as philosophy or as science or
as “common sense” takes them to be – positions generally designated as
Scholastic, scientific, and naive realism, respectively – are in fact versions
of epistemic idealism exactly because they see reals as inherently knowable and
do not contemplate mind-transcendence for the real. Thus, the thesis of naive
(“commonsense”) realism that ‘External things exist exactly as we know them’
sounds realistic or idealistic according as one stresses the first three words
of the dictum or the last four. Any theory of natural teleology that regards
the real as explicable in terms of value could to this extent be counted as
idealistic, in that valuing is by nature a mental process. To be sure, the good
of a creature or species of creatures (e.g., their well-being or survival) need
not be something mind-represented. But nevertheless, goods count as such
precisely because if the creatures at issue could think about it, they would
adopt them as purposes. It is this circumstance that renders any sort of
teleological explanation at least conceptually idealistic in nature. Doctrines
of this sort have been the stock-in-trade of philosophy from the days of Plato
(think of the Socrates of the Phaedo) to those of Leibniz, with his insistence
that the real world must be the best possible. And this line of thought has
recently surfaced once more in the controversial “anthropic principle” espoused
by some theoretical physicists. Then too it is possible to contemplate a
position along the lines envisioned in Fichte’s Wissenschaftslehre (The Science
of Knowledge), which sees the ideal as providing the determining factor for the
real. On such a view, the real is not characterized by the science we actually
have but by the ideal science that is the telos of our scientific efforts. On
this approach, which Wilhelm Wundt characterized as “ideal-realism”
(Idealrealismus; see his Logik, vol. 1, 2d ed., 1895), the knowledge that
achieves adequation to the real idea, clear and distinct idealism (adaequatio
ad rem) by adequately characterizing the true facts in scientific matters is
not the knowledge actually afforded by present-day science, but only that of an
ideal or perfected science. Over the years, many objections to idealism have
been advanced. Samuel Johnson thought to refute Berkeley’s phenomenalism by
kicking a stone. He conveniently forgot that Berkeley goes to great lengths to
provide for stones – even to the point of invoking the aid of God on their
behalf. Moore pointed to the human hand as an undeniably mind-external material
object. He overlooked that, gesticulate as he would, he would do no more than
induce people to accept the presence of a hand on the basis of the handorientation
of their experience. Peirce’s “Harvard Experiment” of letting go of a stone
held aloft was supposed to establish Scholastic realism because his audience
could not control their expectation of the stone’s falling to earth. But an
uncontrollable expectation is still an expectation, and the realism at issue is
no more than a realistic thought-exposure. Kant’s famous “Refutation of
Idealism” argues that our conception of ourselves as mindendowed beings
presupposes material objects because we view our mind-endowed selves as
existing in an objective temporal order, and such an order requires the
existence of periodic physical processes (clocks, pendula, planetary
regularities) for its establishment. At most, however, this argument succeeds
in showing that such physical processes have to be assumed by minds, the issue
of their actual mind-independent existence remaining unaddressed. (Kantian
realism is an intraexperiential “empirical” realism.) It is sometimes said that
idealism confuses objects with our knowledge of them and conflates the real
with our thought about it. But this charge misses the point. The only reality
with which we inquirers can have any cognitive commerce is reality as we
conceive it to be. Our only information about reality is via the operation of
mind – our only cognitive access to reality is through the mediation of
mind-devised models of it. Perhaps the most common objection to idealism turns
on the supposed mind-independence of the real: “Surely things in nature would
remain substantially unchanged if there were no minds.” This is perfectly
plausible in one sense, namely the causal one – which is why causal idealism
has its problems. But it is certainly not true conceptually. The objector has
to specify just exactly what would remain the same. “Surely roses would smell
just as sweet in a minddenuded world!” Well . . . yes and no. To be sure, the
absence of minds would not change roses. But roses and rose fragrance and
sweetness – and even the size of roses – are all factors whose determination
hinges on such mental operations as smelling, scanning, measuring, and the
like. Mind-requiring processes are needed for something in the world to be
discriminated as a rose and determined to bear certain features.
Identification, classification, property attribution are all required and by
their very nature are all mental operations. To be sure, the role of mind is
here hypothetical. (“If certain interactions with duly constituted observers
took place, then certain outcomes would be noted.”) But the fact remains that
nothing could be discriminated or characterized as a rose in a context where
the prospect of performing suitable mental operations (measuring, smelling,
etc.) is not presupposed. Perhaps the strongest argument favoring idealism is
that any characterization of the real that we can devise is bound to be a
mind-constructed one: our only access to information about what the real is is
through the mediation of mind. What seems right about idealism is inherent in
the fact that in investigating the real we are clearly constrained to use our
own concepts to address our own issues – that we can learn about the real only
in our own terms of reference. But what seems right about realism is that the
answers to the questions we put to the real are provided by reality itself –
whatever the answers may be, they are substantially what they are because it is
reality itself that determines them to be that way. -- idealism, Critical.
ordinary
language
– There are two topics about ordinary language, as anyone who ever consulted a
philosophical dictionary will realise. Words like ‘know’ and words like
“transcendental deduction.” Is Austin promoting that we stick with ‘know’ and
that no technical terms are even allowed for their analysis. We don’t thnk so..
The phatic and the rhetic and the phemic and the illocution and the perlocution
are not ‘ordinary’. –as opposed to
‘ideal’ language -- ideal language, a system of notation that would correct
perceived deficiencies of ordinary language by requiring the structure of
expressions to mirror the structure of that which they represent. The notion
that conceptual errors can be corrected and philosophical problems solved (or
dissolved) by properly representing them in some such system figured
prominently in the writings of Leibniz, Carnap, Russell, Wittgenstein, and
Frege, among others. For Russell, the ideal, or “logically perfect,” language
is one in which grammatical form coincides with logical form, there are no vague
or ambiguous expres sions, and no proper names that fail to denote. Frege’s
Begriffsschrift is perhaps the most thorough and successful execution of the
ideal language project. Deductions represented within this system (or its
modern descendants) can be effectively checked for correctness.
Oxford
idealism:
Grice is a member of “The F. H. Bradley Society,” at Mansfield. -- ideal
market, a hypothetical market, used as a tool of economic analysis, in which
all relevant agents are perfectly informed of the price of the good in question
and the cost of its production, and all economic transactions can be undertaken
with no cost. A specific case is a market exemplifying perfect competition. The
term is sometimes extended to apply to an entire economy consisting of ideal
markets for every good. -- ideal observer,
a hypothetical being, possessed of various qualities and traits, whose moral
reactions (judgments or attitudes) to actions, persons, and states of affairs
figure centrally in certain theories of ethics. There are two main versions of
ideal observer theory: (a) those that take the reactions of ideal observers as
a standard of the correctness of moral judgments, and (b) those that analyze
the meanings of moral judgments in terms of the reactions of ideal observers.
Theories of the first sort – ideal observer theories of correctness – hold,
e.g., that judgments like ‘John’s lying to Brenda about her father’s death was
wrong (bad)’ are correct provided any ideal observer would have a negative
attitude toward John’s action. Similarly, ‘Alison’s refusal to divulge
confidential information about her patient was right (good)’ is correct
provided any ideal observer would have a positive attitude toward that action.
This version of the theory can be traced to Adam Smith, who is usually credited
with introducing the concept of an ideal observer into philosophy, though he
used the expression ‘impartial spectator’ to refer to the concept. Regarding
the correctness of moral judgments, Smith wrote: “That precise and distinct
measure can be found nowhere but in the sympathetic feelings of the impartial
and well-informed spectator” (A Theory of Moral Sentiments, 1759). Theories of
a second sort – ideal observer theories of meaning – take the concept of an
ideal observer as part of the very meaning of ordinary moral judgments. Thus,
according to Roderick Firth (“Ethical Absolutism and the Ideal Observer,”
Philosophy and Phenomenological Research, 1952), moral judgments of the form ‘x
is good (bad)’, on this view, mean ‘All ideal observers would feel moral
approval (disapproval) toward x’, and similarly for other moral judgments
(where such approvals and disapprovals are characterized as felt desires having
a “demand quality”). Different conceptions of an ideal observer result from
variously specifying those qualities and traits that characterize such beings.
Smith’s characterization includes being well informed and impartial. However,
according to Firth, an ideal observer must be omniscient; omnipercipient, i.e.,
having the ability to imagine vividly any possible events or states of affairs,
including the experiences and subjective states of others; disinterested, i.e.,
having no interests or desires that involve essential reference to any
particular individuals or things; dispassionate; consistent; and otherwise a
“normal” human being. Both versions of the theory face a dilemma: on the one
hand, if ideal observers are richly characterized as impartial, disinterested,
and normal, then since these terms appear to be moral-evaluative terms, appeal
to the reactions of ideal observers (either as a standard of correctness or as
an analysis of meaning) is circular. On the other hand, if ideal observers
receive an impoverished characterization in purely non-evaluative terms, then
since there is no reason to suppose that such ideal observers will often all
agree in their reactions to actions, people, and states of affairs, most moral
judgments will turn out to be incorrect. Grice: “We have to distinguish between
idealism and hegelianism; but the English being as they are, they don’t! And being
English, I shouldn’t, either!” – “There is so-called ‘idealist’ logic; if so,
there is so called ‘idealist implicaturum’” “My favourite idealist philosopher
is Bosanquet.” “I like Bradley because Russell was once a Bradleyian, when it
was fashionable to be so! But surely Russell lacked the spirit to understand,
even, Bradley! It is so much easier to mock him!” --. Refs.: H. P. Grice, “Pre-war Oxford philosophy.” The
reference to mentalism in the essay on ‘modest mentalism,’ after Myro, in The
H. P. Grice Papers, BANC.
ideatum. Quite used by Grice. Cf. Conceptum. Sub-perceptual. Cognate
with ‘eidos,’ that Grice translates as ‘forma.’ Why is an ‘eidos’ an ‘idea’ and
in what sense is an idea a ‘form’? These are deep questions!
idem: a
key philosophical notion that encompasses linguistic, logic, and metaphysical
issues, and also epistemology. Possibly the central question in philosophy.
Vide the principle of ‘identity.’ amicus est tamquam alter idem,” a second self, Identicum. Grecian ‘tautotes.’ late L. identitās (Martianus
Capella, c425), peculiarly formed from ident(i)-, for L. idem ‘same’ + -tās,
-tātem: see -ty. Various suggestions have been offered as to the
formation. Need was evidently felt of a noun of condition or quality from
idem to express the notion of ‘sameness’, side by side with those of ‘likeness’
and ‘oneness’ expressed by similitās and ūnitās: hence the form of the
suffix. But idem had no combining stem. Some have thought that
ident(i)- was taken from the L. adv. "identidem" ‘over and over
again, repeatedly’, connexion with which appears to be suggested by Du Cange's
explanation of identitās as ‘quævis actio repetita’. Meyer-Lübke suggests
that in the formation there was present some association between idem and id
ens ‘that being’, whence "identitās" like "entitās." But
assimilation to "entitās" may have been merely to avoid the solecism
of *idemitās or *idemtās. sameness. However originated,
"ident(i)-" (either from adverb "identidem" or an
assimilation of "id ens," "id ens," that being, "id
entitas" "that entity") became the combining stem of idem, and
the series ūnitās, ūnicus, ūnificus, ūnificāre, was paralleled by identitās,
identicus, identificus, identificāre: see identic, identific, identify above.]
to OED 3rd: identity, n. Pronunciation: Brit./ʌɪˈdɛntᵻti/ , U.S.
/aɪˈdɛn(t)ədi/ Forms: 15 idemptitie, 15 ydemptyte, 15–16 identitie, 15–
identity, 16 idemptity. Etymology: < Middle French identité, ydemtité,
ydemptité, ydentité (French identité) quality or condition of being the same
(a1310; 1756 in sense ‘individuality, personality’, 1801 in sense ‘distinct
impression of a single person or thing presented to or perceived by others’)
and its etymon post-classical Latin identitat-, identitas quality of
being the same (4th cent.), condition or fact that a person or thing is itself
and not something else (8th cent. in a British source), fact of being the same
(from 12th cent. in British sources), continual sameness, lack of variety,
monotony (from 12th cent. in British sources; 14th cent. in a continental
source) < classical Latin idem same (see idem n.) + -tās (see -ty
suffix1) [sameness], after post-classical Latin essentitas ‘being’ (4th
cent.).The Latin word was formed to provide a translation equivalent for
ancient Greek ταὐτότης (tautotes) identity. identity: identity was a key
concept for Grice. Under identity, he views both identity simpliciter and
personal identity. Grice advocates psychological or soul criterianism.
Psychological or soul criterianism has been advocated, in one form or another,
by philosophers such as Locke, Butler, Duncan-Jones, Berkeley, Gallie, Grice,
Flew, Haugeland, Jones, Perry, Shoemaker and Parfit, and Quinton. What all
of these theories have in common is the idea that, even if it is the case that
some kind of physical states are necessary for being a person, it is the unity
of consciousness which is of decisive importance for personal identity over time.
In this sense, person is a term which picks out a psychological, or mental,
"thing". In claiming this, all Psychological Criterianists entail the
view that personal identity consists in the continuity of psychological
features. It is interesting that Flew has an earlier "Selves,"
earlier than his essay on Locke on personal identity. The first, for Mind,
criticising Jones, "The self in sensory cognition"; the second for
Philosophy. Surely under the tutelage of Grice. Cf. Jones, Selves: A reply to
Flew, Philosophy. The stronger thesis asserts that there is no
conceivable situation in which bodily identity would be necessary, some other
conditions being always both necessary and sufficient. Grice takes it that
Locke’s theory (II, 27) is an example of this latter type. To say
"Grice remembers that he heard a noise", without irony or
inverted commas, is to imply that Grice did hear a noise. In this respect
remember is like, know, a factive. It does not follow from this, nor is it
true, that each claim to remember, any more than each claim to know, is alethic
or veridical; or, not everything one seems to remember is something one really
remembers. So much is obvious, although Locke -- although admittedly
referring only to the memory of actions, section 13 -- is forced to invoke
the providence of God to deny the latter. These points have been emphasised by
Flew in his discussion of Locke’s views on personal identity. In formulating
Locke’ thesis, however, Flew makes a mistake; for he offers Lockes thesis in the
form if Grice can remember Hardies doing such-and-such, Grice and Hardie are
the same person. But this obviously will not do, even for Locke, for we
constantly say things like I remember my brother Derek joining the army without
implying that I and my brother are the same person. So if we are to formulate
such a criterion, it looks as though we have to say something like the
following. If Derek Grice remembers joining my, he is the person who did that
thing. But since remembers doing means remembers himself doing, this is
trivially tautologous, and moreover lends colour to Butlers famous objection
that memory, so far from constituting personal identity, presupposes
it. As Butler puts it, one should really think it self-evident that
consciousness of personal identity presupposes, and therefore cannot
constitute, personal identity; any more than knowledge, in any other case, can
constitute truth, which it presupposes. Butler then asserts that Locke’s
misstep stems from his methodology. This wonderful mistake may possibly have
arisen from hence; that to be endued with consciousness is inseparable from the
idea of a person, or intelligent being. For this might be expressed
inaccurately thus, that consciousness makes personality: and from hence it
might be concluded to make personal identity. One of the points that Locke
emphasizes—that persistence conditions are determined via defining kind
terms—is what, according to Butler, leads Locke astray. Butler
additionally makes the point that memory is not required for personal
persistence. But though present consciousness of what we at present do and feel
is necessary to our being the persons we now are; yet present consciousness of
past actions or feelings is not necessary to our being the same persons who
performed those actions, or had those feelings. This is a point that others
develop when they assert that Lockes view results in contradiction. Hence
the criterion should rather run as follows. If Derek Grice claims to remember
joining the army. We must then ask how such a criterion might be
used. Grices example is: I remember I smelled a smell. He needs two
experiences to use same. I heard a noise and I smelled a smell.The singular
defines the hearing of a noise is the object of some consciousness. The pair
defines, "The hearing of a noise and the smelling of a smell are objects
of the same -- cognate with self as in I hurt me self, -- consciousness. The
standard form of an identity question is Is this x the same x as that x
which E and in the simpler situation we are at least presented with just
the materials for constructing such a question; but in the more complicated
situation we are baffled even in asking the question, since both the
transformed persons are equally good candidates for being its Subjects, and the
question Are these two xs the same (x?) as the x which E is not a recognizable
form of identity question. Thus, it might be argued, the fact that we could not
speak of identity in the latter situation is no kind of proof that we could not
do so in the former. Certainly it is not a proof, as Strawson points out to
Grice. This is not to say that they are identical at all. The only case in
which identity and exact similarity could be distinguished, as we have just
seen, is that of the body, same body and exactly similar body really do mark a
difference. Thus one may claim that the omission of the body takes away all
content from the idea of personal identity, as Pears pointed out to
Grice. Leaving aside memory, which only partially applies to the case, character
and attainments are quite clearly general things. Joness character is, in a
sense, a particular; just because Jones’s character refers to the instantiation
of certain properties by a particular (and bodily) man, as Strawson points out
to Grice (Particular and general). If in ‘Negation and privation,’ Grice
tackles Aristotle, he now tackles Locke. Indeed, seeing that Grice went years
later to the topic as motivated by, of all people, Haugeland, rather than
perhaps the more academic milieu that Perry offers, Grice became obsessed with
Hume’s sceptical doubts! Hume writes in the Appendix that when he turns his
reflection on himself, Hume never can perceive this self without some one
or more perceptions. Nor can Hume ever perceive any thing but the
perceptions. It is the composition of these, therefore, which forms the
self, Hume thinks. Hume grants that one can conceive a thinking being to have
either many or few perceptions. Suppose, says Hume, the mind to be reduced even
below the life of an oyster. Suppose the oyster to have only one perception, as
of thirst or hunger. Consider the oyster in that situation. Does the oyster
conceive any thing but merely that perception? Has the oyster any notion of, to
use Gallies pretentious Aristotelian jargon, self or substance? If not, the
addition of this or other perception can never give the oyster that
notion. The annihilation, which this or that philosopher, including Grices
first post-war tutee, Flew, supposes to follow upon death, and which
entirely destroys the oysters self, is nothing but an
extinction of all particular perceptions; love and
hatred, pain and pleasure, thought and sensation. These therefore
must be the same with self; since the one cannot survive the other.
Is self the same with substance? If it be, how can that question have
place, concerning the subsistence of self, under a change of
substance? If they be distinct, what is the difference betwixt them? For his
part, Hume claims, he has a notion of neither, when conceived distinct
from this or that particular perception. However extraordinary Hume’s
conclusion may seem, it need not surprise us. Most
philosophers, such as Locke, seems inclined to think, that personal
identity arises from consciousness. But consciousness is nothing but
a reflected thought or perception, Hume suggests. This is Grices quandary about
personal identity and its implicatura. Some philosophers have taken Grice as
trying to provide an exegesis of Locke. However, their approaches surely
differ. What works for Grice may not work for Locke. For Grice it is
analytically true that it is not the case that Person1 and
Person may have the same experience. Grice explicitly states that he
thinks that his logical-construction theory is a modification of Locke’s
theory. Grice does not seem terribly interested to find why it may not, even if
the York-based Locke Society might! Rather than introjecting into Lockes shoes,
Grices strategy seems to dismiss Locke, shoes and all. Specifically, it not
clear to Grice what Lockes answer in the Essay would be to Grices question
about this or that I utterance that he sets his analysis with. Admittedly,
Grice does quote, albeit briefly, directly from Lockes Essay. As far as any
intelligent being can repeat the idea of any past action with the same consciousness
it had of it at first, and with the same consciousness it has of any present
action, Locke claims, so far the being is the same personal self. Grice tackles
Lockes claim with four objections. These are important to consider since Grice
sees as improving on Locke. A first objection concerns icircularity, with which
Grice easily disposes by following Hume and appealing to the experience of
memory or introspection. A second objection is Reid’s alleged counterexample
about the long-term memory of the admiral who cannot remember that he was
flogged as a boy. Grice dismisses this as involving too long-term of a memory.
A third objection concerns Locke’s vagueness about the aboutness
of consciousness, a point made by Hume in the Appendix. A fourth objection
concerns again circularity, this time in Locke’s use of same in the definiens ‒
cf. Wiggins, Sameness and substance. It’s extraordinary that Wiggins is
philosophising on anything Griceian. Grice is concerned with the implicaturum
involved in the use of the first person singular. I will be fighting soon.
Grice means in body and soul. The utterance also indicates that this is Grices
pre-war days at Oxford. No wonder his choice of an example. What else could he
have in his soul? The topic of personal identity, which label Hume and Austin
found pretentious, and preferred to talk about the illocutionary force of I,
has a special Oxonian pedigree, perhaps as motivated by Humes challenge, that
Grice has occasion to study and explore for his M. A. Lit. Hum. with Locke’s
Essay as mandatory reading. Locke, a philosopher with whom Oxford identifies
most, infamously defends this memory-based account of I. Up in Scotland, Reid
reads it and concocts this alleged counter-example. Hume, or Home, if you must,
enjoys it. In fact, while in the Mind essay he is not too specific about Hume,
Grice will, due mainly to his joint investigations with Haugeland, approach,
introjecting into the shoes of Hume ‒ who is idolised in The New World ‒ in
ways he does not introject into Lockes. But Grices quandary is Hume’s quandary,
too. In his own approach to I, the Cartesian ego, made transcendental and
apperceptive by Kant, Grice updates the time-honoured empiricist mnemonic
analysis by Locke. The first update is in style. Grice embraces, as he does
with negation, a logical construction, alla Russell, via Broad, of this or that
“I” (first-person) utterance, ending up with an analysis of a “someone,”
third-person, less informative, utterance. Grices immediate source is Gallie’s essay
on self and substance in Mind. Mind is still a review of psychology and
philosophy, so poor Grice has not much choice. In fact, Grice is being
heterodoxical or heretic enough to use Broad’s taxonomy, straight from the
other place of I utterances. The logical-construction theory is a third
proposal, next to the Bradleyian idealist pure-ego theory and the
misleading covert-description theory. Grice deals with the Reids alleged
counterexample of the brave officer. Suppose, Reid says, and Grice quotes
verbatim, a brave officer to have been flogged when a boy at school, for
robbing an orchard, to have taken a standard from the enemy in his first
campaign, and to have been made a general in advanced life. Suppose also, which
must be admitted to be possible, that when he2 took the
standard, he2 was conscious of his having been flogged at
school, and that, when made a general, he3 was conscious of his2 taking
the standard, but had absolutely lost the consciousness of his1 flogging. These
things being supposed, it follows, from Lockes doctrine, that he1 who is
flogged at school is the same person as him2 who later takes
the standard, and that he2 who later takes the standard is the
same person as him3 who is still later made a general. When it
follows, if there be any truth in logic, that the general is the same person
with him1 who is flogged at school. But the general’s
consciousness does emphatically not reach so far back as his1 flogging.
Therefore, according to Locke’s doctrine, he3 is emphatically
not the same person as him1 who is flogged. Therefore, we can say about the
general that he3 is, and at the same time, that he3 is
not the same person as him1 who was flogged at
school. Grice, wholl later add a temporal suffix to =t yielding, by
transitivity. The flogged boy =t1 the brave officer. And the
brave officer =t2 the admiral. But the admiral ≠t3 the
flogged boy. In Mind, Grice tackles the basic analysans, and comes up with a
rather elaborate analysans for a simple I or Someone statement. Grice just
turns to a generic affirmative variant of the utterance he had used in
Negation. It is now someone, viz. I, who hears that the bell tolls. It is the
affirmative counterpart of the focus of his earlier essay on negation, I do not
hear that the bell tolls. Grice dismisses what, in the other place, was
referred to as privileged-access, and the indexicality of I, an approach that
will be made popular by Perry, who however reprints Grices essay in his
influential collection for the University of California Press. By allowing for
someone, viz. I, Grice seems to be relying on a piece of reasoning which hell
later, in his first Locke lecture, refer to as too good. I hear that the bell
tolls; therefore, someone hears that the bell tolls. Grice attempts to reduce
this or that I utterance (Someone, viz. I, hears that the bell tolls) is in
terms of a chain or sequence of mnemonic states. It poses a few quandaries
itself. While quoting from this or that recent philosopher such as Gallie and
Broad, it is a good thing that Grice has occasion to go back to, or revisit,
Locke and contest this or that infamous and alleged counterexample presented by
Reid and Hume. Grice adds a methodological note to his proposed
logical-construction theory of personal identity. There is some intricacy of
his reductive analysis, indeed logical construction, for an apparently simple
and harmless utterance (cf. his earlier essay on I do not hear that the bell
tolls). But this intricacy does not prove the analysis wrong. Only that Grice
is too subtle. If the reductive analysis of not is in terms of each state which
I am experiencing is incompatible with phi), that should not be a minus, or
drawback, but a plus, and an advantage in terms of philosophical progress. The
same holds here in terms of the concept of a temporary state. Much later,
Grice reconsiders, or revisits, indeed, Broads remark and re-titles his
approach as the (or a) logical-construction theory of personal identity. And,
with Haugeland, Grice re-considers Humes own vagaries, or quandary, with personal
identity. Unlike the more conservative Locke that Grice favours in the pages of
Mind, eliminationist Hume sees ‘I’ as a conceptual muddle, indeed a
metaphysical chimæra. Hume presses the point for an empiricist verificationist
account of I. For, as Russell would rhetorically ask, ‘What can be more direct
that the experience of myself?’ The Hume Society should take notice of Grices
simplification of Hume’s implicaturum on I, if The Locke Society won’t. As a
matter of fact, Grice calls one of his metaphysical construction routines the
Humeian projection, so it is not too adventurous to think that Grice considers
I as an intuitive concept that needs to be metaphysically re-constructed
and be given a legitimate Fregeian sense. Why that label for a construction routine?
Grice calls this metaphysical construction routine Humeian projection, since
the mind (or soul) as it were, spreads over its objects. But, by mind, Hume
does not necessarily mean the I. Cf. The minds I. Grice is especially concerned
with the poverty and weaknesses of Humes criticism to Lockes account of
personal identity. Grice opts to revisit the Lockeian memory-based of this or
that someone, viz. I utterance that Hume rather regards as vague, and
confusing. Unlike Humes, neither Lockes nor Grices reductive analysis of
personal identity is reductionist and eliminationist. The
reductive-reductionist distinction Grice draws in Retrospective epilogue as he
responds to Rountree-Jack on this or that alleged wrong on meaning that. It is
only natural that Grice would be sympathetic to Locke. Grice explores these
issues with Haugeland mainly at seminars. One may wonder why Grice spends so
much time in a philosopher such as Hume, with whom he agreed almost on nothing!
The answer is Humes influence in the Third World that forced Grice to focus on
this or that philosopher. Surely Locke is less popular in the New World than
Hume is. One supposes Grice is trying to save Hume at the implicaturum level,
at least. The phrase or term of art, logical construction is Russells and
Broads, but Grice loved it. Rational reconstruction is not too dissimilar.
Grice prefers Russells and Broads more conservative label. This is more than a
terminological point. If Hume is right and there is NO intuitive concept behind
I, one cannot strictly re-construct it, only construct it. Ultimately, Grice
shows that, if only at the implicaturum level, we are able to provide an
analysandum for this or that someone, viz. I utterance without using I, by
implicating only this or that mnemonic concept, which belongs, naturally, as
his theory of negation does, in a theory of philosophical psychology, and again
a lower branch of it, dealing with memory. The topic of personal identity
unites various interests of Grice. The first is identity “=” simpliciter.
Instead of talking of the meaning of I, as, say, Anscombe would, Grice sticks
to the traditional category, or keyword, for this, i. e. the theory-laden,
personal identity, or even personal sameness. Personal identity is a type of
identity, but personal adds something to it. Surely Hume was stretching person
a bit when using the example of a soul with a life lower than an oyster. Since
Grice follows Aristotles De Anima, he enjoys Hume’s choice, though. It may be
argued that personal adds Locke’s consciousness, and rational agency. Grice
plays with the body-soul distinction. I, viz someone or somebody, fell from the
stairs, perhaps differs from I will be fighting soon. This or that someone,
viz. I utterance may be purely bodily. Grice would think that the idea that his
soul fell from the stairs sounds, as it would to Berkeley, harsh. But then
theres this or that one may be mixed utterance. Someone, viz. I, plays cricket,
where surely your bodily mechanisms require some sort of control by the soul.
Finally, this or that may be purely souly ‒ the one Grice ends up analysing,
Someone, viz. I, hear that the bell tolls. At the time of his Mind essay, Grice
may have been unaware of the complications that the concept of a person may
bring as attached in adjective form to identity. Ayer did, and Strawson and
Wiggins will, and Grice learns much from Strawson. Since Parfit, this has
become a common-place topic for analysis at Oxford. A person as a complexum of
a body-soul spatio-temporal continuant substance. Ultimately, Grice finds a
theoretical counterpart here. A P may become a human, which Grice understands
physiologically. That is not enough. A P must aspire, via meteousis, to become
a person. Thus, person becomes a technical term in Grices grand metaphysical
scheme of things. Someone, viz. I, hear that the bell is tolls is analysed
as ≡df, or if and only if, a hearing that the bell tolls is a
part of a total temporary tn souly state S1 which is
one in a s. such that any state Sn, given this or that
condition, contains as a part a memory Mn of the
experience of hearing that the bell tolls, which is a component in some
pre-sequent t1n item, or contains an experience of hearing
that the bell tolls a memory M of which would, given this or that
condition, occur as a component in some sub-sequent t2>tn item,
there being no sub-set of items which is independent of the rest. Grice
simplifies the reductive analysans. Someone, viz. I, hears that the bell tolls
iff a hearing that the bell tolls is a component in an item of an interlocking
s. with emphasis on lock, s. of this or that memorable and memorative
total temporary tn state S1. Is Grice’s Personal
identity ever referred to in the Oxonian philosophical literature? Indeeed.
Parfit mentions, which makes it especially memorable and memorative. P. Edwards
includes a reference to Grices Mind essay in the entry for Personal identity,
as a reference to Grice et al on Met. , is referenced in Edwardss encyclopædia
entry for metaphysics. Grice does not attribute privileged access or
incorrigibility to I or the first person. He always hastens to add that I can
always be substituted, salva veritate (if baffling your addressee A) by someone
or other, if not some-body or other, a colloquialism Grice especially detested.
Grices agency-based approach requires that. I am rational provided thou art,
too. If, by explicitly saying he is a Lockeian, Grice surely does not wish us
to see him as trying to be original, or the first to consider this or that
problem about I; i.e. someone. Still, Grice is the philosopher who explores
most deeply the reductive analysis of I, i.e. someone. Grice needs the
reductive analysis because human agency (philosophically, rather than
psychologically interpreted) is key for his approach to things. By uttering The
bell tolls, U means that someone, viz. himself, hears that the bell tolls, or
even, by uttering I, hear, viz. someone hears, that the bell tolls, U means
that the experience of a hearing that the bell tolls is a component in a
total temporary state which is a member of a s. such that each member
would, given certain conditions, contain as an component one memory of
an experience which is a component in a pre-sequent member, or contains as
a component some experience a memory of which would, given
certain conditions, occur as a component in a post-sequent member; there
being no sub-set of members which is independent of the rest. Thanks, the
addressee might reply. I didnt know that! The reductive bit to Grices analysis
needs to be emphasised. For Grice, a person, and consequently, a someone, viz.
I utterance, is, simpliciter, a logical construction out of this or that
Humeian experience. Whereas in Russell, as Broad notes, a logical
construction of this or that philosophical concept, in this case personal
identity, or cf. Grices earlier reductive analysis of not, is thought of as an
improved, rationally reconstructed conception. Neither Russell nor Broad need
maintain that the logical construction preserves the original meaning of the
analysandum someone, viz. I, hears that the bell tolls, or I do not hear that
the bell tolls ‒ hence their paradox of reductionist analysis. This change of Subjects
does not apply to Grice. Grice emphatically intends to be make explicit,
if rationally reconstructed (if that is not an improvement) through reductive
(if not reductionist) analysis, the concept Grice already claims to have. One
particular development to consider is within Grices play group, that of
Quinton. Grice and Quinton seem to have been the only two philosophers in
Austins play group who showed any interest on someone, viz. I. Or not. The fact
that Quinton entitles his thing “The soul” did not help. Note that Woozley was at
the time editing Reid on “Identity,” Cf. Duncan-Jones on mans mortality. Note
that Quintons immediate trigger is Shoemaker. Grice writes that he is not
“merely a series of perceptions,” for he is “conscious of a permanent self, an
I who experiences these perceptions and who is now identical with the I
who experienced perceptions yesterday.” So, leaving aside that he is using I
with the third person verb, but surely this is no use-mention fallacy, it is
this puzzle that provoked his thoughts on temporal-relative “=” later on. As
Grice notes, Butler argued that consciousness of experience can contribute to
identity but not define it. Grice will use Butler in his elaboration of
conversational benevolence versus conversational self-interest. Better than
Quinton, it is better to consider Flew in Philosophy, 96, on Locke and the
problem of personal identity, obviously suggested as a term paper by Grice!
Wiggins cites Flew. Flew actually notes that Berkeley saw Lockes problem earlier
than Reid, which concerns the transitiveness of =. Recall that Wigginss tutor
at Oxford was a tutee by Grice, Ackrill. identity, the relation each thing bears
just to itself. Formally, a % b Q EF(Fa P Fb); informally, the identity of a
and b implies and is implied by their sharing of all their properties. Read
from left to right, this biconditional asserts the indiscernibility of
identicals; from right to left, the identity of indiscernibles. The
indiscernibility of identicals is not to be confused with a metalinguistic
principle to the effect that if a and b are names of the same object, then each
may be substituted for the other in a sentence without change of truth-value:
that may be false, depending on the semantics of the language under discussion.
Similarly, the identity of indiscernibles is not the claim that if a and b can
be exchanged in all sentential contexts without affecting truth-value, then
they name the same object. For such intersubstitutability may arise when the
language in question simply lacks predicates that could discriminate between
the referents of a and b. In short, the identity of things is not a relation
among names. Identity proper is numerical identity, to be distinguished from
exact similarity (qualitative identity). Intuitively, two exactly similar
objects are “copies” of each other; still they are two, hence not identical.
One way to express this is via the notions of extrinsic and intrinsic
properties: exactly similar objects differ in respect of the former only. But
we can best explain ‘instrinsic property’ by saying that a thing’s intrinsic
properties are those it shares with its copies. These notions appear virtually
interdefinable. (Note that the concept of an extrinsic property must be
relativized to a class or kind of things. Not being in San Francisco is an
extrinsic property of persons but arguably an intrinsic property of cities.)
While qualitative identity is a familiar notion, its theoretical utility is
unclear. The absolute notion of qualitative identity should, however, be
distinguished from an unproblematic relative notion: if some list of salient
properties is fixed in a given context (say, in mechanics or normative ethics),
then the exactly similar things, relative to that context, are those that agree
on the properties listed. Both the identity of indiscernibles and (less
frequently) the indiscernibility of identicals are sometimes called Leibniz’s
law. Neither attribution is apt. Although Leibniz would have accepted the
former principle, his distinctive claim was the impossibility of exactly
similar objects: numerically distinct individuals cannot even share all
intrinsic properties. Moreover, this was not, for him, simply a law of identity
but rather an application of his principle of sufficient reason. And the indiscernibility
of identicals is part of a universal understanding of identity. What
distinguishes Leibniz is the prominence of identity statements in his
metaphysics and logical theory. Although identity remains a clear and basic
logical notion, identity questions about problematic kinds of objects raise
difficulties. One example is the identification of properties, particularly in
contexts involving reduction. Although we know what identity is, the notion of
a property is unclear enough to pose systematic obstacles to the evaluation of
theoretically significant identity statements involving properties. Other
difficulties involve personal identity or the possible identification of
numbers and sets in the foundations of mathematics. In these cases, the identity
questions simply inherit – and provide vivid ways of formulating – the
difficulties pertaining to such concepts as person, property, or number; no
rethinking of the identity concept itself is indicated. But puzzles about the
relation of an ordinary material body to its constituent matter may suggest
that the logician’s analysis of identity does not cleanly capture our everyday
notion(s). Consider a bronze statue. Although the statue may seem to be nothing
besides its matter, reflection on change over time suggests a distinction. The
statue may be melted down, hence destroyed, while the bronze persists, perhaps
simply as a mass or perhaps as a new statue formed from the same bronze.
Alternatively, the statue may persist even as some of its bronze is dissolved
in acid. So the statue seems to be one thing and the bronze another. Yet what
is the bronze besides a statue? Surely we do not have two statues (or
statuelike objects) in one place? Some authors feel that variants of the
identity relation may permit a perspicuous description of the relation of
statue and bronze: (1) tensed identity: Assume a class of timebound properties
– roughly, properties an object can have at a time regardless of what
properties it has at other times. (E.g., a statue’s shape, location, or
elegance.) Then a % t b provided a and b share all timebound properties at time
t. Thus, the statue and the bronze may be identical at time t 1 but not at t 2.
(2) relative identity: a and b may be identical relative to one concept (or
predicate) but not to another. Thus, the statue may be held to be the same lump
of matter as the bronze but not the same object of art. identity identity 415
4065h-l.qxd 08/02/1999 7:39 AM Page 415 In each case, only detailed study will
show whether the variant notion can at once offer a natural description of
change and qualify as a viable identity concept. (Strong doubts arise about
(2).) But it seems likely that our everyday talk of identity has a richness and
ambiguity that escapes formal characterization.
identity, ‘is’ of. See IS. identity, psychophysical. See PHYSICALISM.
identity, theoretical. See PHILOSOPHY OF MIND. identity of indiscernibles, any
of a family of principles, important members of which include the following:
(1) If objects a and b have all properties in common, then a and b are
identical. (2) If objects a and b have all their qualitative properties in
common, then a and b are identical. (3) If objects a and b have all their
non-relational qualitative properties in common, then a and b are identical.
Two questions regarding these principles are raised: Which, if any, are true?
If any are true, are they necessarily true? Discussions of the identity of
indiscernibles typically restrict the scope of the principle to concrete
objects. Although the notions of qualitative and non-relational properties play
a prominent role in these discussions, they are notoriously difficult to
define. Intuitively, a qualitative property is one that can be instantiated by
more than one object and does not involve being related to another particular
object. It does not follow that all qualitative properties are non-relational,
since some relational properties, such as being on top of a brown desk, do not
involve being related to some particular object. (1) is generally regarded as
necessarily true but trivial, since if a and b have all properties in common
then a has the property of being identical with b and b has the property of
being identical with a. Hence, most discussions focus on (2) and (3). (3) is
generally regarded as, at best, a contingent truth since it appears possible to
conceive of two distinct red balls of the same size, shade of color, and
composition. Some have argued that elementary scientific particles, such as
electrons, are counterexamples to even the contingent truth of (3). (2) appears
defensible as a contingent truth since, in the actual world, objects such as
the red balls and the electrons differ in their relational qualitative
properties. It has been argued, however, that (2) is not a necessary truth
since it is possible to conceive of a world consisting of only the two red
balls. In such a world, any qualitative relational property possessed by one
ball is also possessed by the other. Defenders of the necessary truth of (2)
have argued that a careful examination of such counterexamples reveals hidden
qualitative properties that differentiate the objects. Grice learned about
idem, ipsum and simile via his High Church maternal grandfather. “What an iota
can do!” -- Refs.: The main references covering
identity simpliciter are in “Vacuous Names,” and his joint work on metaphysics
with G. Myro. The main references relating to the second group, of personal
identity, are his “Mind” essay, an essay on ‘the logical-construction theory of
personal identity,’ and a second set of essays on Hume’s quandary, The H. P.
Grice Papers, BANC.
Griceian
ideology:
a term used by Ernest Gellner to refer to Grice’s Clifton/Corpus Christi
background. generally a disparaging term used to describe someone else’s
political views which one regards as unsound. This use derives from Marx’s
employment of the term to signify a false consciousness shared by the members
of a particular social class. For example, according to Marx, members of the
capitalist class share the ideology that the laws of the competitive market are
natural and impersonal, that workers in a competitive market are paid all that
they can be paid, and that the institutions of private property in the means of
production are natural and justified.
ideo-motor
action,
a theory of the will according to which “every representation of a movement
awakens in some degree the actual movement which is its object” (William
James). Proposed by physiologist W. B. Carpenter, and taught by Lotze and
Renouvier, ideo-motor action was developed by James. He rejected the regnant
analysis of voluntary behavior, which held that will operates by reinstating
“feelings of innervation” (Wundt) in the efferent nerves. Deploying
introspection and physiology, James showed that feelings of innervation do not
exist. James advanced ideo-motor action as the psychological basis of volition:
actions tend to occur automatically when thought, unless inhibited by a
contrary idea. Will consists in fixing attention on a desired idea until it
dominates consciousness, the execution of movement following automatically.
James also rejected Bain’s associationist thesis that pleasure or pain is the
necessary spring of action, since according to ideo-motor theory thought of an
action by itself produces it. James’s analysis became dogma, but was
effectively attacked by psychologist E. L. Thorndike (1874– 1949), who proposed
in its place the behavioristic doctrine that ideas have no power to cause
behavior, and argued that belief in ideo-motor action amounted to belief in
sympathetic magic. Thus did will leave the vocabulary of psychology.
macaulay: Grice: “Unlike Whitehead, I care
for style; so when it comes to ‘if,’ we
have to please Macaulay – the verbs change, for each mode – and sub-mode!” --
Grice: A curious phenomenon comes to light. I
began by assuming (or stipulating) that the verbs 'judge' and 'will'
(acceptance-verbs) are to be 'completed' by radicals (phrastics). Yet when the
machinery developed above has been applied, we find that the verb 'accept' (or
'think') is to be completed by something of the form 'Op + p', that is, by a
sentence. Perhaps we might tolerate this syntactical ambivalence; but if we
cannot, the remedy is not clear. It would, for example, not be satisfactory to
suppose that 'that', when placed before a sentence, acts as a 'radicalizer' (is
a functor expressing a function which takes that sentence on to its radical);
for that way we should lose the differentiations effected by varying
mode-markers, and this would be fatal to the scheme. This phenomenon certainly
suggests that the attempt to distinguish radicals from sentences may be
misguided; that if radicals are to be admitted at all, they should be
identified with indicative sentences.
The operator '⊢'
would then be a 'semantically vanishing' operator. But this does not wholly
satisfy me; for, if '⊢'
is semantically vacuous, what happens to the subordinate distinction made by
'A' and 'B' markers, which seems genuine enough? We might find these markers
'hanging in the air', like two smiles left behind by the Cheshire Cat. Whatever
the outcome of this debate, however, I feel fairly confident that I could
accommodate the formulation of my discussion to it. Fuller Exposition of the
'Initial Idea' First, some preliminary points. To provide at least a modicum of
intelligibility for my discourse, I shall pronounce the judicative end p.72
operator '⊢'
as 'it is the case that', and the volitive operator '!' as 'let it be that';
and I shall pronounce the sequence 'φ, ψ' as 'given that φ, ψ'. These vocal
mannerisms will result in the production of some pretty barbarous 'English
sentences'; but we must remember that what I shall be trying to do, in uttering
such sentences, will be to represent supposedly underlying structure; if that
is one's aim, one can hardly expect that one's speech-forms will be such as to
excite the approval of, let us say, Jane Austen or Lord Macaulay. In any case,
less horrendous, though (for my purposes) less perspicuous, alternatives will,
I think, be available. Further, I am going to be almost exclusively concerned
with alethic and practical arguments, the proximate conclusions of which will
be, respectively, of the forms 'Acc (⊢ p)' and 'Acc (! p)'; for example, 'acceptable (it is the
case that it snows)' and 'acceptable (let it be that I go home)'. There will be
two possible ways of reading the latter sentence. We might regard 'acceptable'
as a sentential adverb (modifier) like 'demonstrably'; in that case to say or
think 'acceptable (let it be that I go home)' will be to say or think 'let it
be that I go home', together with the qualification that what I say or think is
acceptable; as one might say, 'acceptably, let it be that I go home'. To adopt
this reading would seem to commit us to the impossibility of incontinence; for
since 'accept that let it be that I go home' is to be my rewrite for 'Vaccept
(will) that I go home', anyone x who concluded, by practical argument, that
'acceptable let it be that x go home' would ipso facto will to go home.
Similarly (though less paradoxically) any one who concluded, by alethic
argument, 'acceptable it is the case that it snows', would ipso facto judge
that it snows. So an alternative reading 'it is acceptable that let it be that
I go home', which does not commit the speaker or thinker to 'let it be that I
go home', seems preferable. We can, of course, retain the distinct form
'acceptably, let it be that (it is the case that) p' for renderings of
'desirably' and 'probably'. Let us now tackle the judicative cases. I start
with the assumption that arguments of the form 'A, so probably B' are sometimes
(informally) valid; 'he has an exceptionally red face, so probably he has high
blood pressure' might be informally valid, whereas 'he has an exceptionally red
face, so probably he has musical talent' is unlikely to be allowed informal
validity. end p.73 We might re-express this assumption by saying that it is
sometimes the case that A informally yields-with-probability that B (where
'yields' is the converse of 'is inferable from'). If we wish to construct a
form of argument the acceptability of which does not depend on choice of
substituends for 'A' and 'B', we may, so to speak, allow into the
object-language forms of sentence which correspond to metastatements of the
form: 'A yields-with-probability that B'; we may allow ourselves, for example,
such a sentence as "it is probable, given that he has a very red face,
that he has high blood pressure". This will provide us with the
argument-patterns: “Probable, given A, that B A So, probably, B” or “Probable,
given A, that B A So probably that B” To take
the second pattern, the legitimacy of such an inferential transition will not
depend on the identity of 'A' or of 'B', though it will depend (as was stated
in the previous chapter) on a licence from a suitably formulated 'Principle of
Total Evidence'. The proposal which I am considering (in pursuit of the
'initial idea') would (roughly) involve rewriting the second pattern of argument
so that it reads: It is acceptable, given that it is the case that A, that it
is the case that B. It is the case that A. To apply this schema to a particular
case, we generated the particular argument: It is acceptable, given that it is
the case that Snodgrass has a red face, that it is the case that Snodgrass has
high blood pressure. It is the case that Snodgrass has a red face. So, it is
acceptable that it is the case that Snodgrass has high blood pressure. end p.74
If we make the further assumption that the singular 'conditional' acceptability
statement which is the first premiss of the above argument may be (and perhaps
has to be) reached by an analogue of the rule of universal instantiation from a
general acceptability statement, we make room for such general acceptability
sentences as: It is acceptable, given that it is the case that x has a red
face, that it is the case that x has high blood pressure. which are of the form
"It is acceptable, given that it is the case that Fx, that it is the case
that Gx'; 'x' here is, you will note, an unbound variable; and the form might
also (loosely) be read (pronounced) as: "It is acceptable, given that it
is the case that one (something) is F, that it is the case that one (it) is
G." All of this is (I think) pretty platitudinous; which is just as well,
since it is to serve as a model for the treatment of practical argument. To
turn from the alethic to the practical dimension. Here (the proposal goes) we
may proceed, in a fashion almost exactly parallel to that adopted on the
alethic side, through the following sequence of stages: (1) Arguments (in
thought or speech) of the form: Let it be that A It is the case that B so, with
some degree of desirability, let it be that C are sometimes (and sometimes not)
informally valid (or acceptable). (2) Arguments of the form: It is desirable,
given that let it be that A and that it is the case that B, that let it be that
C Let it be that A It is the case that B so, it is desirable that let it be
that C should, therefore, be allowed to be formally acceptable, subject to
licence from a Principle of Total Evidence. (3) In accordance with our proposal
such arguments will be rewritten: end p.75 It is acceptable, given that let it
be A and that it is the case that B, that let it be that C Let it be that A It
is the case that B so, it is desirable that let it be that C (4) The first
premisses of such arguments may be (and perhaps have to be) reached by
instantiation from general acceptability statements of the form: "It is acceptable,
given that let one be E and that it is the case that one is F, that let it be
that one is G." We may note that sentences like "it is snowing"
can be trivially recast so as (in effect) to appear as third premisses in such
arguments (with 'open' counterparts inside the acceptability sentence; they can
be rewritten as, for example, "Snodgrass is such that it is
snowing"). We are now in possession of such exciting general acceptability
sentences as: "It is acceptable, given that let it be that one keeps dry
and that it is the case that one is such that it is raining, that let one take
with one one's umbrella." (5) A
special subclass of general acceptability sentences (and of practical
arguments) can be generated by 'trivializing' the predicate in the judicative
premiss (making it a 'universal predicate'). If, for example, I take 'x is F'
to represent 'x is identical with x' the judicative subclause may be omitted
from the general acceptability sentence, with a corresponding 'reduction' in
the shape of the related practical argument. We have therefore such argument
sequences as the following: (P i ) It is acceptable, given that let it be that
one survives, that let it be that one eats So (by U i ) It is acceptable, given
that let it be that Snodgrass survives, that let it be that Snodgrass eats (P 2
) Let it be that Snodgrass survives So (by Det) It is acceptable that let it be
that Snodgrass eats. We should also, at some point, consider further
transitions to: (a) Acceptably, let it be that Snodgrass eats, and to: (b) Let
it be that Snodgrass eats. end p.76 And we may also note that, as a more
colloquial substitute for "Let it be that one (Snodgrass) survives
(eats)" the form "one (Snodgrass) is to survive (eat)" is
available; we thus obtain prettier inhabitants of antecedent clauses, for
example, "given that Snodgrass is to survive". We must now pay some
attention to the varieties of acceptability statement to be found within each
of the alethic and practical dimensions; it will, of course, be essential to
the large-scale success of the proposal which I am exploring that one should be
able to show that for every such variant within one dimension there is a
corresponding variant within the other. Within the area of defeasible
generalizations, there is another variant which, in my view, extends across the
board in the way just indicated, namely, the unweighted acceptability
generalization (with associated singular conditionals), or, as I shall also
call it, the ceteris paribus generalization. Such generalization I take to be
of the form "It is acceptable (ceteris paribus), given that φX, that
ψX" and I think we find both practical and alethic examples of the form;
for example, "It is ceteris paribus acceptable, given that it is the case
that one likes a person, that it is the case that one wants his company",
which is not incompatible with "It is ceteris paribus acceptable, given
that it is the case that one likes a person and that one is feeling ill, that
one does not want his company". We also find "It is ceteris paribus
acceptable, given that let it be that one leaves the country and given that it
is the case that one is an alien, that let it be that one obtains a sailing
permit from Internal Revenue", which is compatible with "It is
ceteris paribus acceptable, given that let it be that one leaves the country
and given that it is the case that one is an alien and that one is a close
friend of the President, that let it be that one does not obtain a sailing
permit, and that one arranges to travel in Air Force I". I discussed this
kind of generalization, or 'law', briefly in "Method in Philosophical
Psychology"1 and shall not dilate on its features here. I will just remark
that it can be adapted to handle 'functional laws' (in the way suggested in
that address), and that end p.77 it is different from the closely related use
of universal generalizations in 'artificially closed systems', where some
relevant parameter is deliberately ignored, to be taken care of by an extension
to the system; for in that case, when the extension is made, the original law
has to be modified or corrected, whereas my ceteris paribus generalization can
survive in an extended system; and I regard this as a particular advantage to
philosophical psychology. In addition to these two defeasible types of
acceptability generalization (each with alethic and practical sub-types), we
have non-defeasible acceptability generalizations, with associated singular
conditionals, exemplifying what I might call 'unqualified', 'unreserved', or
'full' acceptability claims. To express these I shall employ the (constructed)
modal 'it is fully acceptable that . . .'; and again there will be occasion for
its use in the representation both of alethic and of practical discourse. We
have, in all, then, three varieties of acceptability statement (each with
alethic and practical sub-types), associated with the modals "It is fully
acceptable that . . . " (non-defeasible), 'it is ceteris paribus
acceptable that . . . ', and 'it is to such-and-such a degree acceptable that .
. . ', both of the latter pair being subject to defeasibility. (I should
re-emphasize that, on the practical side, I am so far concerned to represent
only statements which are analogous with Kant's Technical Imperatives ('Rules
of Skill').)
“if” – (Italian: “si”, Roman, “si”). Unlike
Austin, Grice never was stuck with an English expression. Part of his
rationalism is that for an expression E, if E is to be implicaturum, i.e. the
vehicle of an ‘implicatum,’ there must be an expression E2 that does the trick.
Implicatura are non-detachable. You cannot detach it from one expression and
using another. Grice: “Whitehead lists ‘and,’ ‘or,’ and ‘if,’ but had he known
some classical languages, he would have noted, as J. C. Wilson does, that ‘if’
is totally subordinating, and thus totally non-commutative!” -- German “ob,”
Latin, “si,” Grecian, “ei” -- conditional, a compound sentence, such as ‘if Abe
calls, then Ben answers,’ in which one sentence, the antecedent, is connected
to a second, the consequent, by the connective ‘if . . . then’. Propositions
statements, etc. expressed by conditionals are called conditional propositions
statements, etc. and, by ellipsis, simply conditionals. The ambiguity of the
expression ‘if . . . then’ gives rise to a semantic classification of
conditionals into material conditionals, causal conditionals, counterfactual
conditionals, and so on. In traditional logic, conditionals are called
hypotheticals, and in some areas of mathematical logic conditionals are called
implications. Faithful analysis of the meanings of conditionals continues to be
investigated and intensely disputed.
conditional proof. 1 The argument form ‘B follows from A; therefore, if
A then B’ and arguments of this form. 2 The rule of inference that permits one
to infer a conditional given a derivation of its consequent from its
antecedent. This is also known as the rule of conditional proof or /-
introduction. conditioning, a form of associative learning that occurs when
changes in thought or behavior are produced by temporal relations among events.
It is common to distinguish between two types of conditioning; one, classical
or Pavlovian, in which behavior change results from events that occur before
behavior; the other, operant or instrumental, in which behavior change occurs
because of events after behavior. Roughly, classically and operantly
conditioned behavior correspond to the everyday, folk-psychological distinction
between involuntary and voluntary or goaldirected behavior. In classical
conditioning, stimuli or events elicit a response e.g., salivation; neutral
stimuli e.g., a dinner bell gain control over behavior when paired with stimuli
that already elicit behavior e.g., the appearance of dinner. The behavior is
involuntary. In operant conditioning, stimuli or events reinforce behavior
after behavior occurs; neutral stimuli gain power to reinforce by being paired
with actual reinforcers. Here, occasions in which behavior is reinforced serve
as discriminative stimuli-evoking behavior. Operant behavior is goal-directed,
if not consciously or deliberately, then through the bond between behavior and
reinforcement. Thus, the arrangement of condiments at dinner may serve as the
discriminative stimulus evoking the request “Please pass the salt,” whereas
saying “Thank you” may reinforce the behavior of passing the salt. It is not
easy to integrate conditioning phenomena into a unified theory of conditioning.
Some theorists contend that operant conditioning is really classical
conditioning veiled by subtle temporal relations among events. Other theorists
contend that operant conditioning requires mental representations of
reinforcers and discriminative stimuli. B. F. Skinner 4 90 argued in Walden Two
8 that astute, benevolent behavioral engineers can and should use conditioning
to create a social utopia. conditio sine
qua non Latin, ‘a condition without which not’, a necessary condition;
something without which something else could not be or could not occur. For
example, being a plane figure is a conditio sine qua non for being a triangle.
Sometimes the phrase is used emphatically as a synonym for an unconditioned
presupposition, be it for an action to start or an argument to get going. I.Bo.
Condorcet, Marquis de, title of Marie-JeanAntoine-Nicolas de Caritat 174394, philosopher and political theorist who
contributed to the Encyclopedia and pioneered the mathematical analysis of
social institutions. Although prominent in the Revolutionary government, he was
denounced for his political views and died in prison. Condorcet discovered the
voting paradox, which shows that majoritarian voting can produce cyclical group
preferences. Suppose, for instance, that voters A, B, and C rank proposals x,
y, and z as follows: A: xyz, B: yzx, and C: zxy. Then in majoritarian voting x
beats y and y beats z, but z in turn beats x. So the resulting group
preferences are cyclical. The discovery of this problem helped initiate social
choice theory, which evaluates voting systems. Condorcet argued that any
satisfactory voting system must guarantee selection of a proposal that beats
all rivals in majoritarian competition. Such a proposal is called a Condorcet
winner. His jury theorem says that if voters register their opinions about some
matter, such as whether a defendant is guilty, and the probabilities that
individual voters are right are greater than ½, equal, and independent, then
the majority vote is more likely to be correct than any individual’s or
minority’s vote. Condorcet’s main works are Essai sur l’application de
l’analyse à la probabilité des décisions rendues à la pluralité des voix Essay
on the Application of Analysis to the Probability of Decisions Reached by a
Majority of Votes, 1785; and a posthumous treatise on social issues, Esquisse
d’un tableau historique des progrès de l’esprit humain Sketch for a Historical
Picture of the Progress of the Human Mind, 1795. “if” corresponding conditional of a given
argument, any conditional whose antecedent is a logical conjunction of all of
the premises of the argument and whose consequent is the conclusion. The two
conditionals, ‘if Abe is Ben and Ben is wise, then Abe is wise’ and ‘if Ben is
wise and Abe is Ben, then Abe is wise’, are the two corresponding conditionals
of the argument whose premises are ‘Abe is Ben’ and ‘Ben is wise’ and whose conclusion
is ‘Abe is wise’. For a one-premise argument, the corresponding conditional is
the conditional whose antecedent is the premise and whose consequent is the
conclusion. The limiting cases of the empty and infinite premise sets are
treated in different ways by different logicians; one simple treatment
considers such arguments as lacking corresponding conditionals. The principle
of corresponding conditionals is that in order for an argument to be valid it
is necessary and sufficient for all its corresponding conditionals to be
tautological. The commonly used expression ‘the corresponding conditional of an
argument’ is also used when two further stipulations are in force: first, that
an argument is construed as having an ordered sequence of premises rather than
an unordered set of premises; second, that conjunction is construed as a
polyadic operation that produces in a unique way a single premise from a
sequence of premises rather than as a dyadic operation that combines premises
two by two. Under these stipulations the principle of the corresponding
conditional is that in order for an argument to be valid it is necessary and
sufficient for its corresponding conditional to be valid. These principles are
closely related to modus ponens, to conditional proof, and to the so-called
deduction theorem. “if” counterfactuals,
also called contrary-to-fact conditionals, subjunctive conditionals that
presupcorner quotes counterfactuals pose the falsity of their antecedents, such
as ‘If Hitler had invaded England, G.y would have won’ and ‘If I were you, I’d
run’. Conditionals or hypothetical statements are compound statements of the
form ‘If p, then q’, or equivalently ‘q if p’. Component p is described as the
antecedent protasis and q as the consequent apodosis. A conditional like ‘If
Oswald did not kill Kennedy, then someone else did’ is called indicative,
because both the antecedent and consequent are in the indicative mood. One like
‘If Oswald had not killed Kennedy, then someone else would have’ is
subjunctive. Many subjunctive and all indicative conditionals are open,
presupposing nothing about the antecedent. Unlike ‘If Bob had won, he’d be
rich’, neither ‘If Bob should have won, he would be rich’ nor ‘If Bob won, he
is rich’ implies that Bob did not win. Counterfactuals presuppose, rather than
assert, the falsity of their antecedents. ‘If Reagan had been president, he
would have been famous’ seems inappropriate and out of place, but not false,
given that Reagan was president. The difference between counterfactual and open
subjunctives is less important logically than that between subjunctives and
indicatives. Whereas the indicative conditional about Kennedy is true, the
subjunctive is probably false. Replace ‘someone’ with ‘no one’ and the
truth-values reverse. The most interesting logical feature of counterfactuals
is that they are not truth-functional. A truth-functional compound is one whose
truth-value is completely determined in every possible case by the truth-values
of its components. For example, the falsity of ‘The President is a grandmother’
and ‘The President is childless’ logically entails the falsity of ‘The
President is a grandmother and childless’: all conjunctions with false
conjuncts are false. But whereas ‘If the President were a grandmother, the President
would be childless’ is false, other counterfactuals with equally false
components are true, such as ‘If the President were a grandmother, the
President would be a mother’. The truth-value of a counterfactual is determined
in part by the specific content of its components. This property is shared by
indicative and subjunctive conditionals generally, as can be seen by varying
the wording of the example. In marked contrast, the material conditional, p /
q, of modern logic, defined as meaning that either p is false or q is true, is
completely truth-functional. ‘The President is a grandmother / The President is
childless’ is just as true as ‘The President is a grandmother / The President
is a mother’. While stronger than the material conditional, the counterfactual
is weaker than the strict conditional, p U q, of modern modal logic, which says
that p / q is necessarily true. ‘If the switch had been flipped, the light
would be on’ may in fact be true even though it is possible for the switch to
have been flipped without the light’s being on because the bulb could have
burned out. The fact that counterfactuals are neither strict nor material
conditionals generated the problem of counterfactual conditionals raised by
Chisholm and Goodman: What are the truth conditions of a counterfactual, and
how are they determined by its components? According to the “metalinguistic”
approach, which resembles the deductive-nomological model of explanation, a
counterfactual is true when its antecedent conjoined with laws of nature and
statements of background conditions logically entails its consequent. On this
account, ‘If the switch had been flipped the light would be on’ is true because
the statement that the switch was flipped, plus the laws of electricity and
statements describing the condition and arrangement of the circuitry, entail
that the light is on. The main problem is to specify which facts are “fixed”
for any given counterfactual and context. The background conditions cannot
include the denials of the antecedent or the consequent, even though they are
true, nor anything else that would not be true if the antecedent were.
Counteridenticals, whose antecedents assert identities, highlight the
difficulty: the background for ‘If I were you, I’d run’ must include facts about
my character and your situation, but not vice versa. Counterlegals like
‘Newton’s laws would fail if planets had rectangular orbits’, whose antecedents
deny laws of nature, show that even the set of laws cannot be all-inclusive.
Another leading approach pioneered by Robert C. Stalnaker and David K. Lewis
extends the possible worlds semantics developed for modal logic, saying that a
counterfactual is true when its consequent is true in the nearest possible
world in which the antecedent is true. The counterfactual about the switch is
true on this account provided a world in which the switch was flipped and the
light is on is closer to the actual world than one in which the switch was
flipped but the light is not on. The main problem is to specify which world is
nearest for any given counterfactual and context. The difference between
indicative and subjunctive conditionals can be accounted for in terms of either
a different set of background conditions or a different measure of nearness.
counterfactuals counterfactuals
Counterfactuals turn up in a variety of philosophical contexts. To
distinguish laws like ‘All copper conducts’ from equally true generalizations
like ‘Everything in my pocket conducts’, some have observed that while anything
would conduct if it were copper, not everything would conduct if it were in my
pocket. And to have a disposition like solubility, it does not suffice to be
either dissolving or not in water: it must in addition be true that the object
would dissolve if it were in water. It has similarly been suggested that one
event is the cause of another only if the latter would not have occurred if the
former had not; that an action is free only if the agent could or would have
done otherwise if he had wanted to; that a person is in a particular mental
state only if he would behave in certain ways given certain stimuli; and that
an action is right only if a completely rational and fully informed agent would
choose it. “If the cat is on the mat, she is purring.” INDICATIVE PLUS
INDICATIVE – “Subjective ‘if’ is a different animal as Julius Caesar well
knew!” -- Refs: “If and Macaulay.”
iff: Grice: “a silly
abbreviation for ‘if and only if’” -- that is used as if it were a single
propositional operator (connective). Another synonym for ‘iff’ is ‘just in
case’. The justification for treating ‘iff’ as if it were a single
propositional connective is that ‘P if and only if Q’ is elliptical for ‘P if
Q, and P only if Q’, and this assertion is logically equivalent to ‘P biconditional
Q’.
illatum, f. illātĭo (inl- ), ōnis,
f. in-fero, a logical
inference, conclusion: “vel illativum rogamentum. quod ex acceptionibus colligitur et infertur,” App.
Dogm. Plat. 3, pp. 34, 15. – infero: to conclude, infer, draw an inference, Cic. Inv. 1, 47, 87; Quint. 5, 11, 27. ILLATUM -- inference, the
process of drawing a conclusion from premises or assumptions, or, loosely, the
conclusion so drawn. An argument can be merely a number of statements of which
one is designated the conclusion and the rest are designated premises. Whether
the premises imply the conclusion is thus independent of anyone’s actual
beliefs in either of them. Belief, however, is essential to inference.
Inference occurs only if someone, owing to believing the premises, begins to
believe the conclusion or continues to believe the conclusion with greater
confidence than before. Because inference requires a subject who has beliefs,
some requirements of (an ideally) acceptable inference do not apply to abstract
arguments: one must believe the premises; one must believe that the premises
support the conclusion; neither of these beliefs induction, eliminative
inference 426 4065h-l.qxd 08/02/1999 7:39 AM Page 426 may be based on one’s
prior belief in the conclusion. W. E. Johnson called these the epistemic conditions
of inference. In a reductio ad absurdum argument that deduces a
self-contradiction from certain premises, not all steps of the argument will
correspond to steps of inference. No one deliberately infers a contradiction.
What one infers, in such an argument, is that certain premises are
inconsistent. Acceptable inferences can fall short of being ideally acceptable
according to the above requirements. Relevant beliefs are sometimes indefinite.
Infants and children infer despite having no grasp of the sophisticated notion
of support. One function of idealization is to set standards for that which
falls short. It is possible to judge how nearly inexplicit, automatic,
unreflective, lessthan-ideal inferences meet ideal requirements. In ordinary
speech, ‘infer’ often functions as a synonym of ‘imply’, as in ‘The new tax law
infers that we have to calculate the value of our shrubbery’. Careful
philosophical writing avoids this usage. Implication is, and inference is not,
a relation between statements. Valid deductive inference corresponds to a valid
deductive argument: it is logically impossible for all the premises to be true
when the conclusion is false. That is, the conjunction of all the premises and
the negation of the conclusion is inconsistent. Whenever a conjunction is
inconsistent, there is a valid argument for the negation of any conjunct from
the other conjuncts. (Relevance logic imposes restrictions on validity to avoid
this.) Whenever one argument is deductively valid, so is another argument that
goes in a different direction. (1) ‘Stacy left her slippers in the kitchen’
implies (2) ‘Stacy had some slippers’. Should one acquainted with Stacy and the
kitchen infer (2) from (1), or infer not-(1) from not-(2), or make neither
inference? Formal logic tells us about implication and deductive validity, but
it cannot tell us when or what to infer. Reasonable inference depends on
comparative degrees of reasonable belief. An inference in which every premise
and every step is beyond question is a demonstrative inference. (Similarly,
reasoning for which this condition holds is demonstrative reasoning.) Just as
what is beyond question can vary from one situation to another, so can what
counts as demonstrative. The term presumably derives from Aristotle’s Posterior
Analytics. Understanding Aristotle’s views on demonstration requires
understanding his general scheme for classifying inferences. Not all inferences
are deductive. In an inductive inference, one infers from an observed
combination of characteristics to some similar unobserved combination.
‘Reasoning’ like ‘painting’, and ‘frosting’, and many other words, has a
process–product ambiguity. Reasoning can be a process that occurs in time or it
can be a result or product. A letter to the editor can both contain reasoning
and be the result of reasoning. It is often unclear whether a word such as
‘statistical’ that modifies the words ‘inference’ or ‘reasoning’ applies
primarily to stages in the process or to the content of the product. One view,
attractive for its simplicity, is that the stages of the process of reasoning
correspond closely to the parts of the product. Examples that confirm this view
are scarce. Testing alternatives, discarding and reviving, revising and
transposing, and so on, are as common to the process of reasoning as to other
creative activities. A product seldom reflects the exact history of its
production. In An Examination of Sir William Hamilton’s Philosophy, J. S. Mill
says that reasoning is a source from which we derive new truths (Chapter 14).
This is a useful saying so long as we remember that not all reasoning is
inference. -- inference to the best explanation, an inference by which one
concludes that something is the case on the grounds that this best explains
something else one believes to be the case. Paradigm examples of this kind of
inference are found in the natural sciences, where a hypothesis is accepted on
the grounds that it best explains relevant observations. For example, the
hypothesis that material substances have atomic structures best explains a
range of observations concerning how such substances interact. Inferences to
the best explanation occur in everyday life as well. Upon walking into your
house you observe that a lamp is lying broken on the floor, and on the basis of
this you infer that the cat has knocked it over. This is plausibly analyzed as
an inference to the best explanation; you believe that the cat has knocked over
the lamp because this is the best explanation for the lamp’s lying broken on
the floor. The nature of inference to the best explanation and the extent of
its use are both controversial. Positions that have been taken include: (a)
that it is a distinctive kind of inductive reasoning; (b) inference rule
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that all good inductive inferences involve inference to the best explanation;
and (c) that it is not a distinctive kind of inference at all, but is rather a
special case of enumerative induction. Another controversy concerns the criteria
for what makes an explanation best. Simplicity, cognitive fit, and explanatory
power have all been suggested as relevant merits, but none of these notions is
well understood. Finally, a skeptical problem arises: inference to the best
explanation is plausibly involved in both scientific and commonsense knowledge,
but it is not clear why the best explanation that occurs to a person is likely
to be true. -- inferential knowledge, a kind of “indirect” knowledge, namely,
knowledge based on or resulting from inference. Assuming that knowledge is at
least true, justified belief, inferential knowledge is constituted by a belief
that is justified because it is inferred from certain other beliefs. The
knowledge that 7 equals 7 seems non-inferential. We do not infer from anything
that 7 equals 7 – it is obvious and self-evident. The knowledge that 7 is the
cube root of 343, in contrast, seems inferential. We cannot know this without
inferring it from something else, such as the result obtained when multiplying
7 times 7 times 7. Two sorts of inferential relations may be distinguished. ‘I
inferred that someone died because the flag is at half-mast’ may be true
because yesterday I acquired the belief about the flag, which caused me to
acquire the further belief that someone died. ‘I inferentially believe that
someone died because the flag is at halfmast’ may be true now because I retain
the belief that someone died and it remains based on my belief about the flag.
My belief that someone died is thus either episodically or structurally
inferential. The episodic process is an occurrent, causal relation among belief
acquisitions. The structural basing relation may involve the retention of
beliefs, and need not be occurrent. (Some reserve ‘inference’ for the episodic
relation.) An inferential belief acquired on one basis may later be held on a
different basis, as when I forget I saw a flag at half-mast but continue to
believe someone died because of news reports. That “How do you know?” and
“Prove it!” always seem pertinent suggests that all knowledge is inferential, a
version of the coherence theory. The well-known regress argument seems to show,
however, that not all knowledge can be inferential, which is a version of
foundationalism. For if S knows something inferentially, S must infer it
correctly from premises S knows to be true. The question whether those premises
are also known inferentially begins either an infinite regress of inferences
(which is humanly impossible) or a circle of justification (which could not constitute
good reasoning). Which sources of knowledge are non-inferential remains an
issue even assuming foundationalism. When we see that an apple is red, e.g.,
our knowledge is based in some manner on the way the apple looks. “How do you
know it is red?” can be answered: “By the way it looks.” This answer seems
correct, moreover, only if an inference from the way the apple looks to its
being red would be warranted. Nevertheless, perceptual beliefs are formed so
automatically that talk of inference seems inappropriate. In addition,
inference as a process whereby beliefs are acquired as a result of holding
other beliefs may be distinguished from inference as a state in which one
belief is sustained on the basis of others. Knowledge that is inferential in
one way need not be inferential in the other. When it came to rationality –
Grice was especially irritated by the adjective ‘theoretical’ as applied to
‘reason’. “Kant was cleverer when he used the metaphorical ‘pure’!” --
theoretical reason – Grice preferred ‘conversational reason.’ “There’s no need
to divide reason into pure and impure!’ -- in its traditional sense, a faculty
or capacity whose province is theoretical knowledge or inquiry; more broadly,
the faculty concerned with ascertaining truth of any kind also sometimes called
speculative reason. In Book 6 of his Metaphysics, Aristotle identifies
mathematics, physics, and theology as the subject matter of theoretical reason.
Theoretical reason is traditionally distinguished from practical reason, a
faculty exercised in determining guides to good conduct and in deliberating
about proper courses of action. Aristotle contrasts it, as well, with
productive reason, which is concerned with “making”: shipbuilding, sculpting,
healing, and the like. Kant distinguishes theoretical reason not only from
practical reason but also sometimes from the faculty of understanding, in which
the categories originate. Theoretical reason, possessed of its own a priori
concepts “ideas of reason”, regulates the activities of the understanding. It
presupposes a systematic unity in nature, sets the goal for scientific inquiry,
and determines the “criterion of empirical truth” Critique of Pure Reason.
Theoretical reason, on Kant’s conception, seeks an explanatory “completeness”
and an “unconditionedness” of being that transcend what is possible in
experience. Reason, as a faculty or capacity, may be regarded as a hybrid
composed of theoretical and practical reason broadly construed or as a unity
having both theoretical and practical functions. Some commentators take
Aristotle to embrace the former conception and Kant the latter. Reason is
contrasted sometimes with experience, sometimes with emotion and desire,
sometimes with faith. Its presence in human beings has often been regarded as
constituting the primary difference between human and non-human animals; and
reason is sometimes represented as a divine element in human nature. Socrates,
in Plato’s Philebus, portrays reason as “the king of heaven and earth.” Hobbes,
in his Leviathan, paints a more sobering picture, contending that reason, “when
we reckon it among the faculties of the mind, . . . is nothing but
reckoning that is, adding and
subtracting of the consequences of
general names agreed upon for the marking and signifying of our thoughts.”
illuminism: d’Alembert, Jean
Le Rond, philosopher, and Encyclopedist. According to Grimm, d’Alembert was the
prime luminary of the philosophic party. Cf. the French ideologues that
influenced Humboldt. An abandoned, illegitimate child, he nonetheless received
an outstanding education at the Jansenist Collège des Quatre-Nations in Paris.
He read law for a while, tried medicine, and settled on mathematics. In 1743,
he published an acclaimed Treatise of Dynamics. Subsequently, he joined the
Paris Academy of Sciences and contributed decisive works on mathematics and
physics. In 1754, he was elected to the
Academy, of which he later became permanent secretary. In association
with Diderot, he launched the Encyclopedia, for which he wrote the epoch-making
Discours préliminaire 1751 and numerous entries on science. Unwilling to
compromise with the censorship, he resigned as coeditor in 1758. In the
Discours préliminaire, d’Alembert specified the divisions of the philosophical
discourse on man: pneumatology, logic, and ethics. Contrary to Christian
philosophies, he limited pneumatology to the investigation of the human soul.
Prefiguring positivism, his Essay on the Elements of Philosophy 1759 defines
philosophy as a comparative examination of physical phenomena. Influenced by
Bacon, Locke, and Newton, d’Alembert’s epistemology associates Cartesian
psychology with the sensory origin of ideas. Though assuming the universe to be
rationally ordered, he discarded metaphysical questions as inconclusive. The
substance, or the essence, of soul and matter, is unknowable. Agnosticism
ineluctably arises from his empirically based naturalism. D’Alembert is
prominently featured in D’Alembert’s Dream 1769, Diderot’s dialogical apology
for materialism. Grice’s illuminism –
“reason enlightens us” Enlightenment, a late eighteenth-century international
movement in thought, with important social and political ramifications. The
Enlightenment is at once a style, an attitude, a temper critical, secular, skeptical, empirical, and
practical. It is also characterized by core beliefs in human rationality, in
what it took to be “nature,” and in the “natural feelings” of mankind. Four of
its most prominent exemplars are Hume, Thomas Jefferson, Kant, and Voltaire.
The Enlightenment belief in human rationality had several aspects. 1 Human
beings are free to the extent that their actions are carried out for a reason.
Actions prompted by traditional authority, whether religious or political, are therefore
not free; liberation requires weakening if not also overthrow of this
authority. 2 Human rationality is universal, requiring only education for its
development. In virtue of their common rationality, all human beings have
certain rights, among them the right to choose and shape their individual
destinies. 3 A final aspect of the belief in human rationality was that the
true forms of all things could be discovered, whether of the universe Newton’s
laws, of the mind associationist psychology, of good government the U.S.
Constitution, of a happy life which, like good government, was “balanced”, or
of beautiful architecture Palladio’s principles. The Enlightenment was
preeminently a “formalist” age, and prose, not poetry, was its primary means of
expression. The Enlightenment thought of itself as a return to the classical
ideas of the Grecians and more especially the Romans. But in fact it provided
one source of the revolutions that shook Europe and America at the end of the
eighteenth century, and it laid the intellectual foundations for both the
generally scientific worldview and the liberal democratic society, which,
despite the many attacks made on them, continue to function as cultural ideals.
Inludo -- illusion: Grice: “The
etymology of illusion is fascinating – lusion is of course from ludo, game, so
‘inludo’ is the verb we must be look for – if you have an illusion, you are
‘playing with yourself’ -- cf. veridical memories, who needs them? hallucination
is Grice’s topic.Malcolm argues in Dreaming and Skepticism and in his Dreaming
that the notion of a dream qua conscious experience that occurs at a definite
time and has definite duration during sleep, is unintelligible. This
contradicts the views of philosophers like Descartes (and indeed Moore!), who,
Malcolm holds, assume that a human being may have a conscious thought and a
conscious experience during sleep. Descartes claims that he had been deceived
during sleep. Malcolms point is that ordinary language contrasts consciousness
and sleep. The claim that one is conscious while one is sleep-walking is
stretching the use of the term. Malcolm rejects the alleged counter-examples
based on sleepwalking or sleep-talking, e.g. dreaming that one is climbing
stairs while one is actually doing so is not a counter-example because, in such
a case, the individual is not sound asleep after all. If a person is in any
state of consciousness, it logically follows that he is not sound asleep. The
concept of dreaming is based on our descriptions of dreams after we have
awakened in telling a dream. Thus, to have dreamt that one has a thought during
sleep is not to have a thought any more than to have dreamt that one has
climbed Everest is to have climbed Everest. Since one cannot have an experience
during sleep, one cannot have a mistaken experience during sleep, thereby
undermining the sort of scepticism based on the idea that our experience might
be wrong because we might be dreaming. Malcolm further argues that a report of
a conscious state during sleep is unverifiable. If Grice claims that he and
Strawson saw a big-foot in charge of the reserve desk at the Bodleian library,
one can verify that this took place by talking to Strawson and gathering
forensic evidence from the library. However, there is no way to verify Grices
claim that he dreamed that he and Strawson saw a big-foot working at the
Bodleian. Grices only basis for his claim that he dreamt this is that Grice
says so after he wakes up. How does one distinguish the case where Grice
dreamed that he saw a big-foot working at The Bodleian and the case in which he
dreamed that he saw a person in a big-foot suit working at the library but,
after awakening, mis-remembered that person in a big-foot suit as a big-foot
proper? If Grice should admit that he had earlier mis-reported his dream and
that he had actually dreamed he saw a person in a big-foot suit at The
Bodleian, there is no more independent verification for this new claim than
there was for the original one. Thus, there is, for Malcolm, no sense to the
idea of mis-remembering ones dreams. Malcolm here applies one of Witters ideas
from his private language argument. One would like to say: whatever is going to
seem right to me is right. And that only means that here we cannot talk about
right. For a similar reason, Malcolm challenges the idea that one can assign a
definite duration or time of occurrence to a dream. If Grice claims that he ran
the mile in 3.4 minutes, one could verify this in the usual ways. If, however,
Grice says he dreamt that he ran the mile in 3.4 minutes, how is one to measure
the duration of his dreamt run? If Grice says he was wearing a stopwatch in the
dream and clocked his run at 3.4 minutes, how can one know that the dreamt
stopwatch is not running at half speed (so that he really dreamt that he ran
the mile in 6.8 minutes)? Grice might argue that a dream report does not carry
such a conversational implicatura. But Malcolm would say that just admits the
point. The ordinary criteria one uses for determining temporal duration do not
apply to dreamt events. The problem in both these cases (Grice dreaming one saw
a bigfoot working at The Bodleian and dreaming that he ran the mile in 3.4
minutes) is that there is no way to verify the truth of these dreamt events —
no direct way to access that dreamt inner experience, that mysterious glow of
consciousness inside the mind of Grice lying comatose on the couch, in order to
determine the facts of the matter. This is because, for Malcolm, there are no
facts of the matter apart from the report by the dreamer of the dream upon
awakening. Malcolm claims that the empirical evidence does not enable one to
decide between the view that a dream experience occurs during sleep and the
view that they are generated upon the moment of waking up. Dennett agrees with
Malcolm that nothing supports the received view that a dream involves a
conscious experience while one is asleep but holds that such issues might be
settled empirically. Malcolm also argues against the attempt to provide a
physiological mark of the duration of a dream, for example, the view that the
dream lasted as long as the rapid eye movements. Malcolm replies that there can
only be as much precision in that common concept of dreaming as is provided by
the common criterion of dreaming. These scientific researchers are misled by
the assumption that the provision for the duration of a dream is already there,
only somewhat obscured and in need of being made more precise. However, Malcolm
claims, it is not already there (in the ordinary concept of dreaming). These
scientific views are making radical conceptual changes in the concept of
dreaming, not further explaining our ordinary concept of dreaming. Malcolm
admits, however, that it might be natural to adopt such scientific views about
REM sleep as a convention. Malcolm points out, however, that if REM sleep is
adopted as a criterion for the occurrence of a dream, people would have to
be informed upon waking up that they had dreamed or not. As Pears observes,
Malcolm does not mean to deny that people have dreams in favour of the view
that they only have waking dream-behaviour. Of course it is no misuse of
language to speak of remembering a dream. His point is that since the concept
of dreaming is so closely tied to our concept of waking report of a dreams, one
cannot form a coherent concept of this alleged inner (private) something that
occurs with a definite duration during sleep. Malcolm rejects a certain
philosophical conception of dreaming, not the ordinary concept of dreaming,
which, he holds, is neither a hidden private something nor mere outward
behaviour.The account of dreaming by Malcolm has come in for considerable
criticism. Some argue that Malcolms claim that occurrences in dreams cannot be
verified by others does not require the strict criteria that Malcolm proposes
but can be justified by appeal to the simplicity, plausibility, and predictive
adequacy of an explanatory system as a whole. Some argue that Malcolms account
of the sentence I am awake is inconsistent. A comprehensive programme in
considerable detail has been offered for an empirical scientific investigation
of dreaming of the sort that Malcolm rejects. Others have proposed various
counterexamples and counter arguments against dreaming by Malcolm. Grices
emphasis is in Malcolms easy way out with statements to the effect that implicatura
do or do not operate in dream reports. They do in mine! Grice considers, I may
be dreaming in the two essays opening the Part II: Explorations on semantics
and metaphysics in WOW. Cf. Urmson on ‘delusion’ in ‘Parentheticals’ as
‘conceptually impossible.’ Refs.: The main reference is Grice’s essay on
‘Dreaming,’ but there are scattered references in his treatment of Descartes,
and “The causal theory of perception” (henceforth, “Causal theory”), The H. P.
Grice Papers, BANC.
imaginatum
– imago
– from “imago” – The root of ‘imago’ is cognate with that of ‘emulate,’
aemulatum – and the verb is under imitor
-- Discussed by Grice in “Vacuous Names.” A population may imagine that a
certain expeditioner, Marmaduke Bloggs, climbed Mt. Everest on hands and knees.
He is the imaginatum. imagination:
referred to by Grice in “Prolegomena” – the rabbit that looks like a duck --
the mental faculty sometimes thought to encompass all acts of thinking about
something novel, contrary to fact, or not currently perceived; thus: “Imagine
that Lincoln had not been assassinated,” or “Use your imagination to create a
new design for roller skates.” ‘Imagination’ also denotes an important
perception-like aspect of some such thoughts, so that to imagine something is
to bring to mind what it would be like to perceive it. Philosophical theories
of imagination must explain its apparent intentionality: when we imagine, we
always imagine something. Imagination is always directed toward an object, even
though the object may not exist. Moreover, imagination, like perception, is
often seen as involving qualia, or special subjective properties that are
sometimes thought to discredit materialist, especially functionalist, theories
of mind. The intentionality of imagination and its perceptual character lead
some theories to equate imagination with “imaging”: being conscious of or
perceiving a mental image. However, because the ontological status of such
images and the nature of their properties are obscure, many philosophers have
rejected mental images in favor of an adverbial theory on which to imagine
something red is best analyzed as imagining “redly.” Such theories avoid the
difficulties associated with mental images, but must offer some other way to
account for the apparent intentionality of imagination as well as its
perceptual character. Imagination, in the hands of Husserl and Sartre, becomes a
particularly apt subject for phenomenology. It is also cited as a faculty that
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separates human thought from any form of artificial intelligence. Finally,
imagination often figures prominently in debates about possibility, in that
what is imaginable is often taken to be coextensive with what is possible.
inmanens, a term most often
used in contrast to ‘transcendence’ to express the way in which God is thought
to be present in the world. The most extreme form of immanence is expressed in
pantheism, which identifies God’s substance either partly or wholly with the
world. In contrast to pantheism, Judaism and Christianity hold God to be a
totally separate substance from the world. In Christianity, the separateness of
God’s substance from that of the world is guaranteed by the doctrine of
creation ex nihilo. Aquinas held that God is in the world as an efficient cause
is present to that on which it acts. Thus, God is present in the world by
continuously acting on it to preserve it in existence. Perhaps the weakest
notion of immanence is expressed in eighteenth- and nineteenthcentury deism, in
which God initially creates the world and institutes its universal laws, but is
basically an absentee landlord, exercising no providential activity over its
continuing history.
materia/forma
distinction, materia-inmateria distinction --: immaterialism, Oneo of Grice’s
twelve labours is with Materialism. Immaterialism is the view that objects are
best characterized as mere collections of qualities: “a certain colour, taste,
smell, figure and consistence having been observed to go together, are
accounted one distinct thing, signified by the name apple” (Berkeley,
Principles, 1). So construed, immaterialism anticipates by some two hundred
years a doctrine defended in the early twentieth century by Russell. The
negative side of the doctrine comes in the denial of material substance or
matter. Some philosophers had held that ordinary objects are individual material
substances in which qualities inhere. The account is mistaken because,
according to immaterialism, there is no such thing as material substance, and
so qualities do not inhere in it. Immaterialism should not be confused with
Berkeley’s idealism. The latter, but not the former, implies that objects and
their qualities exist if and only if they are perceived.
mediautum-inmediatum
distinction, the: mediatum: Grice is all about the mediatum. This he call a
‘soul-to-soul’ transfer. Imagine you pick up a rose, the thorn hurts you. You
are in pain. You say “Ouch.” You transmit this to the fellow gardener. The
mediacy means, “Beware of the thorn. It may hurt you.” “I am amazed that in The
New World, it’s all about immediacy (Chisholm) when there’s so much which is
mediately of immediate philosophical importance!” immediatum: Grice: “Here the ‘in-’ is negative!” – the presence to
the mind without intermediaries. The term ‘immediatum’ and its cognates have
been used extensively throughout the history of philosophy, generally without
much explanation. Descartes, e.g., explains his notion of thought thus: “I use
this term to include everything that is within us in a way that we are
IMMEDIATELY aware of it” (Second Replies). Descartes offers no explanation of
immediate awareness, but the implicaturum is “contextually cancellable.” “Only
an idiot would not realise that he is opposing it to mediated experience.” –
Grice. Grice is well aware of this. “Check with Lewis and Short.” “mĕdĭo , 1, v. a. medius, I.to halve, divide in the middle
(post-class.), Apic. 3, 9. — B. Neutr., to be in the middle: “melius Juno
mediante,” Pall. Mart. 10, 32.” “So you see, ‘mediare’ can be transitive, but
surely Descartes means it in the intransitive way – something mediates or
something doesn’t – Clear as water!” However, when used as a primitive
in this way, ‘immediatum’ may simply mean that thoughts are the immediate
objects of perception because thoughts are the only things perceived in the
strict and proper sense that no perception of an intermediary is required for
the person’s awareness of them. Sometimes ‘immediate’ means ‘not mediated’. (1)
An inference from a premise to a conclusion can exhibit logical immediacy
because it does not depend on other premises. This is a technical usage of
proof theory to describe the form of a certain class of inference rules. (2) A
concept can exhibit conceptual immediacy because it is definitionally
primitive, as in the Berkeleian doctrine that perception of qualities is
immediate, and perception of objects is defined by the perception of their
qualities, which is directly understood. (3) Our perception of something can
exhibit causal immediacy because it is not caused by intervening acts of
perception or cognition, as with seeing someone immediately in the flesh rather
than through images on a movie screen. (4) A belief-formation process can
possess psychological immediacy because it contains no subprocess of reasoning
and in that sense has no psychological mediator. (5) Our knowledge of something
can exhibit epistemic immediacy because it is justified without inference from
another proposition, as in intuitive knowledge of the existence of the self,
which has no epistemic mediator. A noteworthy special application of immediacy
is to be found in Russell’s notion of knowledge by acquaintance. This notion is
a development of the venerable doctrine originating with Plato, and also found
in Augustine, that understanding the nature of some object requires that we can
gain immediate cognitive access to that object. Thus, for Plato, to understand
the nature of beauty requires acquaintance with beauty itself. This view
contrasts with one in which understanding the nature of beauty requires
linguistic competence in the use of the word ‘beauty’ or, alternatively, with
one that requires having a mental representation of beauty. Russell offers
sense-data and universals as examples of things known by acquaintance. To these
senses of immediacy we may add another category whose members have acquired
special meanings within certain philosophical traditions. For example, in
Hegel’s philosophy if (per impossibile) an object were encountered “as existing
in simple immediacy” it would be encountered as it is in itself, unchanged by
conceptualization. In phenomenology “immediate” experience is, roughly,
bracketed experience.
partiale-impartialis – impartiality: Grice
found this amusing. “Surely conversational maxims, constituting the
conversational immanuel, are impartial – i.e. they are not part of any other
part!” – “However, it’s only because they can be partial that’s the only way
they can have a bite on us!” -- a state or disposition achieved to the degree
that one’s actions or attitudes are not influenced in a relevant respect by which
members of a relevant group are benefited or harmed by one’s actions or by the
object of one’s attitudes. For example, a basketball referee and that referee’s
calls are impartial when the referee’s applications of the rules are not
affected by whether the calls help one team or the other. A fan’s approval of a
call lacks impartiality if that attitude results from the fan’s preference for
one team over the other. Impartiality in this general sense does not exclude
arbitrariness or guarantee fairness; nor does it require neutrality among
values, for a judge can be impartial between parties while favoring liberty and
equality for all. Different situations might call for impartiality in different
respects toward different groups, so disagreements arise, for example, about
when morality requires or allows partiality toward friends or family or
country. Moral philosophers have proposed various tests of the kind of
impartiality required by morality, including role reversibility (Kurt Baier),
universalizability (Hare), a veil of ignorance (Rawls), and a restriction to
beliefs shared by all rational people (Bernard Gert).
imperatum – While of course there is a verb in the infinitive for
this, Grice prefers the past participle – “It’s so diaphanous!” -- This starts
with the Greeks, who had the klesis porstktike, modus imperativus. But then,
under the modus subjunctives, the Romans added the modus prohibitivus. So this
is interesting, because it seems that most of Grice’s maxims are
‘prohibitions’: “Do not say what you believe to be false.” “Do not that for
which you lack adequate evidence.” And some while formally in the
‘affirmative,’ look prohibitive with ‘negative-loaded’ verbs like ‘avoid
ambiguity,’ etc. hile an imperatus, m. is a command, ‘imperatum’ refers,
diaphanously, to what is commanded. “Impero” is actually a derivation from the
intensive “in-“ and the “paro,” as in “prepare,” “Paratum” would thus reflect
the ssame cognateness with ‘imperatum.” Modus imperativus -- imperative mode: At one
point, Grice loved the “psi,” Actions are alright, but we need to stop at the
psi level. The emissor communicates that the addressee thinks that the emissor
has propositional attitude psi. No need to get into the logical form of action.
One can just do with the logical form of a ‘that’-clause in the ascription of a
state of the soul. This should usually INVOLVE an action, as in Hare, “The door
is shut, please.” like Hare, Grice loves an imperative. In this essay, Grice
attempts an exploration of the logical form of Kant’s concoction. Grice is
especially irritated by the ‘the.’ ‘They speak of Kant’s categorical
imperative, when he cared to formulate a few versions of it!” Grice lists them
all in Abbott’s version. There are nine of them! Grice is interested in the conceptual
connection of the categorical imperative with the hypothetical or suppositional
imperative, in terms of the type of connection between the protasis and the
apodosis. Grice spends the full second Carus lecture on the conception of
value on this. Grice is aware that the topic is central to Oxonian
philosophers such as Hare, a member of Austin’s Play Group, too, who regard the
universability of an imperative as a mark of its categoricity, and indeed,
moral status. Grice chose some of the Kantian terminology on purpose.Grice
would refer to this or that ‘conversational maxim.’A ‘conversational maxim’
contributes to what Grice jocularly refers to as the ‘conversational
immanuel.’But there is an admission test.The ‘conversational maxim’ has to be
shown that, qua items under an overarching principle of conversational
helpfulness, the maxim displays a quality associated with conceptual, formal,
and applicational generality. Grice never understood what Kant meant by the
categoric imperative. But for Grice, from the acceptability of the the immanuel
you can deduce the acceptability of this or that maxim, and from the
acceptability of the conversational immanuel, be conversationally helpful, you
can deduce the acceptability of this or that convesational maxim. Grice hardly
considered Kants approach to the categoric imperative other than via the
universability of this or that maxim. This or that conversational maxim,
provided by Grice, may be said to be universalisable if and only if it displays
what Grice sees as these three types of generality: conceptual, formal, and
applicational. He does the same for general maxims of conduct. The results are
compiled in a manual of universalisable maxims, the conversational immanuel, an
appendix to the general immanuel. The other justification by Kant of the
categoric imperative involve an approach other than the genitorial
justification, and an invocation of autonomy and freedom. It is the use by
Plato of imperative as per categoric imperative that has Grice expanding on modes
other than the doxastic, to bring in the buletic, where the categoric
imperative resides. Note that in the end Kant DOES formulate the categoric
imperative, as Grice notes, as a real imperative, rather than a command, etc.
Grice loved Kant, but he loved Kantotle best. In the last Kant lecture, he
proposes to define the categorical imperative as a counsel of prudence, with a
protasis Let Grice be happy. The derivation involves eight stages! Grice found
out that out of his play-group activities with this or that linguistic nuance
he had arrived at the principle, or imperative of conversational helpfulness,
indeed formulated as an imperative: Make your contribution such as is required,
at the stage at which it occurs, by the accepted purpose of the conversation in
which you are engaged. He notes that the rationality behind the idea of
conversation as rational co-operation does not preclude seeing rationality in
conversation as other than cooperation. The fact that he chooses maxim, and
explicitly echoes Kant, indicates where Grice is leading! An exploration on
Paton on the categorical imperative. Grice had previously explored the
logical form of hypothetical or suppositional imperatives in the Kant
(and later Locke) lectures, notably in Lecture IV, Further remarks on
practical and alethic reasons. Here he considers topics related to Hares
tropic-clistic neustic-phrastic quartet. What does it mean to say that
a command is conditional? The two successors of Grices post as
Tutorial Fellow at St. Johns, Baker Hacker, will tackle the same issue with
humour, in Sense and nonsense, published by Blackwell (too irreverent to be
published by the Clarendon). Is the logical form of a maxim, .p⊃!q, or !(.p ⊃.q),
etc. Kant thought that there is a special
sub-class of hypothetical or suppositional imperative (which he
called a counsels of prudence) which is like his class of technical imperative,
except in that the end specified in a full specfication of the imperative is
the special end of eudæmonia (the agents eudæmonia). For
Grice, understanding Kant’s first version of the categorical imperative
involves understanding what a maxim is supposed to be. Grice
explores at some length four alternative interpretations of an
iffy buletic (as opposed to a non-iffy buletic): three formal, one material.
The first interpretation is the horseshoe interpretation. A blind logical
nose might lead us or be led to the assumption of a link between a
buletically iffy utterance and a doxastically iffy utterance. Such a link
no doubt exists, but the most obvious version of it is plainly
inadequate. At least one other philosopher besides Grice has noticed that If he
torments the cat, have him arrested! is unlikely to express an
buletically iffy utterance, and that even if one restricts oneself to
this or that case in which the protasis specifies a will, we find pairs of
examples like If you will to go to Oxford, travel by AA via Richmond! or
If you will to go to Cambridge, see a psychiatrist! where it is plain that one
is, and the other is not, the expression of a buletically iffy utterance. For
fun, Grice does not tell which! A less easily eliminable suggestion, yet one
which would still interprets the notion of a buletically iffy utterance in
terms of that particular logical form to which if, hypothetical or
suppositional and conditional attach,
would be the following. Let us assume that it is established, or conceded, as
legitimate to formulate an if utterance in which not only the apodosis is
couched in some mode other than the doxastic, as in this or that conditional
command. If you see the whites of their eyes, shoot fire! but also the protasis
or some part (clause) of them. In which case all of the following might be
admissible conditionals. Thus, we might have a doxastic protasis (If the cat is
sick, take it to the vet), or a mixed (buletic-cum-doxastic protasis (If you
are to take the cat to the vet and theres no cage available, put it on Marthas
lap!), and buletic protasis (If you are to take the cat to the vet, put it in a
cage!). If this suggestion seems rebarbative, think of this or that quaint if
utterance (when it is quaint) as conditionalised versions of this or that
therefore-sequence, such as: buletic-cum-doxastic premises (Take the cat
to the vet! There isnt a cage. Therefore; Put the cat on Marthas lap!), buletic
premise (Take the cat to the vet! Put it in a cage!). And then, maybe, the
discomfort is reduced. Grice next considers a second formal interpretation or
approach to the buletically iffy/non-iffy utterance. Among if utterances with a
buletic apodosis some will have, then, a mixed doxastic-cum buletic protasis
(partly doxastic, partly buletic), and some will have a purely doxastic
protasis (If the cat is sick, take him to the vet!). Grice proposes a
definition of the iffy/non-iffy distinction. A buletically iffy utterance is an
iffy utterance the apodosis of which is buletic and the protasis of which is
buletic or mixed (buletic-cum-dxastic) or it is an elliptical version of such
an iffy utterance. A buletically non-iffy utterance is a buletic utterance
which is not iffy or else, if it is iffy, has a purely doxastic protasis. Grice
makes three quick comments on this second interpretation. First, re: a real
imperative. The structures which are being offered as a way of interpreting an
iffy and a non-iffy imperative do not, as they stand, offer any room for
the appearance this or that buletic modality like ought and should which are so
prominently visible in the standard examples of those kinds of imperatives. The
imperatives suggested by Grice are explicit imperatives. An explicit buletic
utterance is Do such-and-such! and not You ought to do such and such or, worse,
One ought to do such and such. Grice thinks, however, that one can modify this
suggestion to meet the demand for the appearance or occurrence of ought (etc)
if such occurrence is needed. Second, it would remain to be decided how close
the preferred reading of Grices deviant conditional imperatives would be to the
accepted interpretation of standard hypothetical or suppositional imperatives.
But even if there were some divergence that might be acceptable if the new
interpretation turns out to embody a more precise notion than the standard
conception. Then theres the neustical versus tropical protases. There are, Grice
thinks, serious doubts of the admissibility of conditionals with a NON-doxastic
protasis, which are for Grice connected with the very difficult question
whether the doxastic and the buletic modes are co-ordinate or whether the
doxastic mode is in some crucial fashion (but not in other) prior (to use
Suppess qualification) to the buletic. Grice confesses he does not know the
answer to that question. A third formal interpretation links the
iffy/non-iffy distinction to the absolute-relative value distinction. An iffy
imperatives would be end-relative and might be analogous
to an evidence-relative probability. A non-iffy imperatives would not
be end-relative. Finally, a fourth Interpretation is not formal, but
material. This is close to part of what Kant says on the topic. It is a
distinction between an imperative being escapable (iffy), through the
absence of a particular will and its not being escapable (non-iffy). If
we understand the idea of escabability sufficiently widely, the following imperatives
are all escapable, even though their logical form is not in every case the
same: Give up popcorn!, To get slim, give up popcorn!, If you will to get slim,
give up popcorn! Suppose Grice has no will to get slim. One might say that
the first imperative (Give up popcorn!) is escaped, provided giving up
popcorn has nothing else to recommend it, by falsifying You should give up
popcorn. The second and the third imperatives (To get slim, give up
pocorn! and If you will to get slim, give up popcorn!) would not, perhaps, involve
falsification but they would, in the circumstances, be inapplicable
to Grice – and inapplicability, too, counts, as escape. A non-iffy
imperative however, is in no way escapable. Re: the Dynamics of
Imperatives in Discourse, Grice then gives three examples which he had
discussed in “Aspects,” which concern arguments (or therefore-chains). This we
may see as an elucidation to grasp the logical form of buletically iffy
utterance (elided by the therefore, which is an if in the metalanguage)
in its dynamics in argumentation. We should, Grice suggests,
consider not merely imperatives of each sort, together with the range
of possible characterisations, but also the possible forms of argument into
which_particular_ hypothetical or suppositional imperatives might enter.
Consider: Defend the Philosophy Department! If you are to defend the
philosophy department, learn to use bows and arrows! Therefore, learn to
use bows and arrows! Grice says he is using the dichotomy of original-derived
value. In this example, in the first premise, it is not specified whether the
will is original or derived, the second premise specifies conducive to (means),
and the conclusion would involve a derived will, provided the second premise is
doxastically satisfactory. Another example would be: Fight for your country! If
you are to fight for your country, join up one of the services! Therefore, join
up! Here, the first premise and the conclusion do not specify the protasis. If
the conclusion did, it would repeat the second premise. Then theres Increase
your holdings in oil shares! If you visit your father, hell give you some oil
shares. Therefore, visit your father! This argument (purportedly) transmits
value. Let us explore these characterisations by Grice with the aid of
Hares distinctions. For Hare in a hypothetical or suppositional imperative, the
protasis contains a neustic-cum-tropic. A distinction may be made between this
or that hypothetical or suppositional imperative and a term used by Grice
in his first interpretation of the hypothetical or suppositional
imperative, that of conditional command (If you see the whites of their
eyes, shoot fire!). A hypothetical or suppositional imperative can
be distinguished from a conditional imperative (If you want to make bread,
use yeast! If you see anything suspicious, telephone the police!) by the
fact that modus ponens is not valid for it. One may use hypothetical,
suppositional or conditional imperative for a buletic utterance which features
if, and reserve conditional command for a command which is expressed by an
imperative, and which is conditional on the satisfaction of the protasis.
Thus, on this view, treating the major premise of an argument as a
hypothetical or suppositional imperative turns the therefore-chain invalid. Consider
the sequence with the major premise as a hypothetical or suppositional
imperative. If you will to make someone mad, give him drug D! You
will to make Peter mad; therefore, give Peter drug D! By uttering this
hypothetical or suppositional imperative, the utterer tells his addressee A
only what means to adopt to achieve a given end in a way which
does not necessarily endorse the adoption of that end, and hence of
the means to it. Someone might similarly say, if you will to make
someone mad, give him drug D! But, of course, even if you will to do
that, you must not try to do so. On the other hand, the
following is arguably valid because the major premise is a
conditional imperative and not a mere hypothetical or suppositional one.
We have a case of major premise as a conditional imperative: You will to make
someone mad, give him drug D! Make Peter mad! Therefore, give Peter
drug D!. We can explain this in terms of the presence of the neustic in
the antecedent of the imperative working as the major premise.
The supposition that the protasis of a hypothetical or suppositional
imperative contains a clause in the buletic mode neatly explains why the
argument with the major premise as a hypothetical or suppositional
imperative is not valid. But the argument with the major premise as a
conditional imperative is, as well as helping to differentiate a
suppositional or hypothetical or suppositional iffy imperative from a
conditional iffy imperative. For, if the protasis of the major premise in the
hypothetical or suppositional imperative is volitival, the mere fact that
you will to make Peter mad does not license the inference of the
imperative to give him the drug; but this _can_ be inferred from the
major premise of the hypothetical or suppositional imperative
together with an imperative, the minor premise in the conditional
imperative, to make Peter mad. Whether the subordinate
clause contains a neustic thus does have have a consequence as
to the validity of inferences into which the complex sentence
enters. Then theres an alleged principle of mode constancy in buletic and
and doxastic inference. One may tries to elucidate Grices ideas on the
logical form of the hypothetical or suppositional imperative proper.
His suggestion is, admittedly, rather tentative. But it might be argued,
in the spirit of it, that an iffy imperative is of the form ((!p⊃!q) Λ .p)) ∴ !q
But this violates a principle of mode constancy. A phrastic must
remain in the same mode (within the scope of the same tropic) throughout
an argument. A conditional imperative does not violate the principle of
Modal Constancy, since it is of the form ((p⊃!q) Λ
!p)) ∴ !q The question of the logical form of
the hypothetical or suppositional imperative is
too obscure to base much on arguments concerning it. There is an alternative
to Grices account of the validity of an argument featuring a conditional
imperative. This is to treat the major premise of a conditional
imperative, as some have urged it should be as a doxastic utterance tantamount
to In order to make someone mad, you have to give him drug D. Then an
utterer who explicitly conveys or asserts the major premise of a conditional
imperative and commands the second premise is in consistency committed to
commanding the conclusion. If does not always connect phrastic with
phrastic but sometimes connects two expressions consisting of a
phrastic and a tropic. Consider: If you walk past the post office,
post the letter! The antecedent of this imperative states, it
seems, the condition under which the imperative expressed becomes
operative, and so can not be construed buletically, since by uttering
a buletic utterance, an utterer cannot explicitly convey or assert that a
condition obtains. Hence, the protasis ought not be within the
scope of the buletic !, and whatever we take to represent
the form of the utterance above we must not take !(if p, q) to
do so. One way out. On certain interpretation of the isomorphism or
æqui-vocality Thesis between Indicative and Imperative Inference the utterance
has to be construed as an imperative (in the generic
reading) to make the doxasatic conditional If you will walk past the
post office, you will post the letter satisfactory. Leaving
aside issues of the implicaturum of if, that the utterance can not be so
construed seems to be shown by the fact that the
imperative to make the associated doxastically iffy utterance satisfactory
is conformed with by one who does not walk past the post office. But
it seems strange at best to say that the utterance is conformed
with in the same circumstances. This strangeness or bafflingliness, as
Grice prefers, is aptly explained away in terms of the implicaturum. At Oxford,
Dummett is endorsing this idea that a conditional imperative be
construed as an imperative to make an indicative if utterance true.
Dummett urges to divide conditional imperatives into those whose antecedent is
within the power of the addressee, like the utterance in question,
and those in which it is not. Consider: If you go out, wear your coat! One may
be not so much concerned with how to escape this, as Grice is, but how to
conform it. A child may choose not to go out in order to comply with the
imperative. For an imperative whose protasis is_not_ within the power of the
addressee (If anyone tries to escape, shoot him!) it is indifferent whether we
treat it as a conditional imperative or not, so why bother. A small
caveat here. If no one tries to escape, the imperative is *not violated*.
One might ask, might there not be an important practical difference
bewteen saying that an imperative has not been violated and that
it has been complied with? Dummett ignores this distinction. One may
feel think there is much of a practical difference there. Is Grice
an intuitionist? Suppose that you are a frontier guard and
the antecedent has remained unfulfilled. Then, whether we say that you
complied with it, or simply did not *violate* it will make a great
deal of difference if you appear before a war crimes tribunal.
For Dummett, the fact that in the case of an imperative expressed by a
conditional imperative in which the antecedent is not within the agents power,
we should *not* say that the agent had obeyed just on the ground that the
protassi is false, is no ground for construing an imperative as expressing a
conditional command: for there is no question of fixing what shall
constitute obedience independently of the determination of what shall
constitute disobedience. This complicates the issues. One may with Grice (and
Hare, and Edgley) defend imperative inference against other Oxonian
philosophers, such as Kenny or Williams. What is questioned by the sceptics
about imperative inference is whether if each one of a set of imperatives
is used with the force of a command, one can infer a _further_ imperative
with that force from them. Cf. Wiggins on Aristotle on the practical
syllogism. One may be more conservative than Hare, if not Grice. Consider If
you stand by Jane, dont look at her! You stand by Jane; therefore, dont look at
her! This is valid. However, the following, obtained by anti-logism, is not: If
you stand by Jane, dont look at her! Look at her! Therefore, you dont stand by
Jane. It may seem more reasonable to some to deny Kants thesis, and maintain
that anti-logism is valid in imperative inference than it is to hold onto Kants
thesis and deny that antilogism is valid in the case in question. Then theres
the question of the implicatura involved in the ordering of modes. Consider:
Varnish every piece of furniture you make! You are going to make a table;
therefore, varnish it! This is prima facie valid. The following, however,
switching the order of the modes in the premises is not. You are going to
varnish every piece of furniture that you make. Make a table! Therefore; varnish
it! The connection between the if and the therefore is metalinguistic,
obviously – the validity of the therefore chain is proved by the associated if
that takes the premise as, literally, the protasis and the consequence as the
apodosis. Conversational Implicaturum at the Rescue. Problems with
or: Consider Rosss infamous example: Post the letter! Therefore, post the
letter or burn it! as invalid, Ross – and endorsed at Oxford by Williams.
To permit to do p or q is to permit to do p and to permit to do q.
Similarly, to give permission to do something is to lift a prohibition
against doing it. Admittedly, Williams does not need this so we are
stating his claim more strongly than he does. One may review Grices way
out (defense of the validity of the utterance above in terms of the implicaturum.
Grice claims that in Rosss infamous example (valid, for Grice), whilst (to
state it roughly) the premises permissive presupposition (to use the
rather clumsy term introduced by Williams) is entailed by it, the
conclusions is only conversationally implicated. Typically for an
isomorphist, Grice says this is something shared by
indicative inferences. If, being absent-minded, Grice asks his wife, What
have I done with the letter? And she replies, You have posted it or burnt it,
she conversationally implicates that she is not in a position to say which
Grice has done. She also conversationally implicates that Grice may not have
post it, so long as he has burnt it. Similarly, the future tense indicative, You
are going to post the letter has the conversational implicaturum You may be not
going to post the letter so long as you are going to burn it. But this
surely does not validate the introduction rule for OR, to wit: p;
therefore, p or q. One can similarly, say: Eclipse will win. He may not, of
course, if it rains. And I *know* it will *not* rain. Problems with and.
Consider: Put on your parachute AND jump out! Therefore, jump out! Someone who
_only_ jumps out of an æroplane does not fulfil Put on your parachute and
jump out! He has done only what is necessary, but not sufficient to
fulfil it. Imperatives do not differ from indicatives in this respect,
except that fulfilment takes the place of belief or doxa, which is the form of
acceptance apprpriate to a doxasatic utterance, as the Names implies.
Someone who is told Smith put on his parachute AND jumped out is entitled
to believe that Smith jumped out. But if he believes that this is _all_
Smith did he is in error (Cf. Edgley). One may discuss Grices test of cancellability
in the case of the transport officer who says: Go via Coldstream or Berwick! It
seems the transport officers way of expressing himself is extremely
eccentric, or conversationally baffling, as Grice prefers – yet validly. If the
transport officer is not sure if a storm may block one of the routes,
what he should say is _Prepare_ to go via Coldstream or Berwick! As for the
application of Grices test of explicit cancellation here, it yield, in the
circumstances, the transport officer uttering Go either via Coldstream or
Berwick! But you may not go via Coldstream if you do not go via
Berwick, and you may not go via Berwick if you do not go via Coldstream. Such
qualifications ‒ what Grice calls explicit cancellation of the implicaturum ‒
seem to the addressee to empty the buletic mode of utterance of all content and
is thus reminiscent of Henry Fords utterance to the effect that people can
choose what colour car they like provided it is black. But then Grice doesnt
think Ford is being illogical, only Griceian and implicatural! Grice was
fascinated by “if” clauses in mode other than the indicative: “if the cat is on
the mat, she is purring.” “If the cat had been, make her purr!” etc. He spent
years at Clifton mastering this – only to have Ayer telling him at Oxford he
didn’t need it! “I won’t take that!” -- Refs.: There is at least one essay just
about the categorical imperative, but there are scattered references wherever
Grice considers the mood markers, The H. P. Grice Papers, BANC.
implicaturum: Grice, “Fortunately, philosophy’s main verb, “to
imply,” ‘implicare,’ is like amare, perfectly regular.. So we have implicans,
who is the utterer or his utterance, the implicaturum, which is the utterance
that implies in the future, and the impilicatum – By way of nominalization, or
what I call subjectification or category shift we do have ‘impliatura,’ qua
noun – But surely ‘implicatura’ qua feminine noun should be distinguished from
the non-categorially shifted ‘implicatura’ as plural of ‘implicaturum.’ There is
no category shift in thinking of an expression as a vehicle of an ‘implicatum’.
This vehicle is the implicaturum when seen as the expression itself. The
utterer is the implicans. And then there’s the ‘implicandtum.’ Similarly, in
definition, we speak of definiens and definiendum – definiturum – The definies
is what defines. This applies strictly to the ‘definer’ – the human being. The
definiturum if in plural applies to the expression that defines, -- when in
masculine, definiturus, it applies to the definer. Similarly we may say that he
who is implies is an IMPLIER, or an IMPLICATURUS. We do speak of a professor as
being ‘a great explicator.’ So we shoud speak of myself as a great implicator.
in his Oxford seminars. Grice: “I distinguish between the ‘implicaturum’ and
the ‘implicaturum.’” “The ‘implicaturum’ corresponds to Moore’s entailment.”
“For the ‘pragmatic-type’ of thing, one should use ‘implicaturum.’” “The
–aturum’ form is what at Clifton I learned as the future, and a ‘future’ twist
it has, since it refers to the future.” “ ‘Implicaturum esse’ is, strictly, the
infinitivum futurum, made out of the ‘esse’ plus the ‘indicaturum.’ We loved
these things at Clifton!” a pragmatic
relation different from, but easily confused with, the semantic relation of
entailment. This concept was first identified, explained, and used by H. P.
Grice (Studies in the Way of Words, 1989). Grice identified two main types of
implicaturum, conventional and non-conventional (including conversational). An
emisor is said to conversationally implicate that p in uttering x, provided
that, although p is NOT logically implied by what the emisor explicitly
communicates, the assumption that the emisor is attempting cooperative
communication warrants inferring that the emisor is communicating that p. If
Grice utters “There is a garage around the corner” in response to Strawson’s
saying, “I am out of gas,” Grice conversationally implicates that the garage is
open and has gas to sell. Grice identifies several conversational maxims to which
cooperative conversationalists may be expected to conform, and which justify
inferences about what the emisor implicates. In the above example, the
implicaturums are due to the maxim of conversational relevance. Another
important maxim is the maxim of conversational fortitude (“Make your contribution as informatively
strong as is required”). Among implicatura due to the Maxim of conversational
fortitude is the scalar implicaturum, wherein the utterance contains an element
that is part of a quantitative scale. Utterance of such a sentence
conversationally implicates that the emisor does not believe related
propositions higher on the scale of conversational fortitude or
informativeness. E. g. an emisor who says, “Some of the zoo animals escaped,”
implies that he does not believe that that most of the zoo animals escaped, or
that every animal of the zoo animals escaped. Unlike a conversational
implicaturum, a conventional implicaturum is due solely to the semantics of the
expression. An emisor is said by Grice to conventionally imply that p, if the
semantics of the expression commits the emisor to p, even though what the
emisor explicitly communicates does not entail that p. Thus, uttering, as the
Tommies did during the Great War, “She was poor but she was honest” a Tommy
implicates, but does not explicitly convey, that there is a contrast between
her poverty and her honesty. Grice
fought with this. It’s a term of art, and he mainly wants to avoid,
fastidiously, equivocation. “I say fastidiously because at Oxford, few – Hare
is one of them – followed suit --. Most stuck with ‘implicatio.’ “So, if we stick with Roman, we have
‘implicatio.’ This gives English ‘implication,’ because the Anglo-Norman
nominative proceeded via the Roman accusative, i. e. ‘implicationem.’ The use
of –ure is also Anglo-Norman, for Roman ‘-ura.’ So we have ‘implicatura,’ and
in Anglo-Norman, ‘implicature.’ ‘Implicatio’ is a feminine noun, and so is
‘implicatura.’ ‘Implicatio’ is a ‘active voice’ noun; so is ‘implicatura.’ The
Roman allows for a correlative neuter to the past participle, ‘implicatum,’ or
‘implicitum’ (there are vowel alternation here). So, the two neuter correlative
active forms for the two neuter passive perfect forms, ‘implicatum’ and
‘implicitum’ are ‘implicaturum’ and ‘impliciturum.’ Kneale has expanded on the
use of ‘implicans.’ If ‘implicans’ is the active PRESENT participle for
‘implicare,’ ‘implicaturum’ is the active FUTURE participle. There is no need
to specify the vehicle, as per Kneale, ‘propositio implicans,’ ‘propositio
implicata’ – Since ‘implicatura’ is definitely constructed out of the
active-voice future participle, we should have in fact a trio, where the two
second items get two variants, each: the implicans, the
implicaturum/impliciturum, and the implicatum/implicitum. Note that in the
present participle, the vowel alternation does not apply: there’s ‘implicans’
(masculine, feminine, and neuter) only, which then yields, in the neuter forms,
the future, ‘implicaturum’/’impliciturum,’ and the perfect, ‘implicatum’/’implicitum.’
The same for ‘explicare’: explicatio, explicatura, -- explicans, yielding
explicaturum/expliciturm, explicatum/explciitum. Note that when I speak of what
is seen, ‘see’ being diaphanous, I refer to ‘visum,’ what is seen. – There is no
need, and in fact it is best not to, spceficy the vehicle. The Romans used the
neuter, singular, for each case --.” “If
I were serious about ‘implicature’ being feminine, I would speak of the
‘implicata’ as a singular form, but I do not. I use ‘implicatum,’ what is
implied – and use ‘implicata’ as plural neuter. Since an implicatum is usually
indeterminate, it’s best to refer to the plural, ‘implicata’ – Ditto for the
‘implicaturum,’ which becomes, in the plural, ‘implicatura.’ – the vehicles are
various in that stress, emphasis, context, all change the vehicle, somehow --.
Implicatio then is like ‘conceptio,’ it is an abstract form (strictly feminine)
that has a process-producti ambiguity that the neuter family: implicans,
implicaturum/impliciturm, implicatum/implicitum avoids. Note that while –ure
form in Anglo-Norman does not derive from the accusative, as ‘implication,’
does hence no accusative nasal ‘n’ (of ‘implicatioN,’ but not ‘implicatio’) in
‘implicature.’ The fact that the Anglo-Normans confused it all by turning this
into ‘employ,’ and ‘imply’ should not deter the Oxonian for his delightful
coinages!” Active Nominal Forms Infinitive:
implicā́re Present participle: implicāns; implicántis Future participle:
implicītúrus; implicātúrus Gerund: implicándum Gerundive: implicándus
Passive Nominal Forms Infinitive: implicā́re Perfect participle: implicī́tum;
implicā́tum. implicitura (Latin Dictionary)
lemma part voice mood tense gender number case implicare verb active
participle future feminine singularnominative ablative vocative lemma part
voice mood tense gender number case implicare verb active participle future
neuter plural nominative accusative vocative INFLECTION Temporal inflection
present – masculine implicans future – masculine impliciturus / implicaturus
present – feminine implicans future – feminine implicitura / implicatura
present – neuter implicans future – neuter impliciturum / implicaturum. De
camptgii , vel eampacis dicemus inlra in vita Galheni apud TtebeUtum Pollionem,
ratdeiorum cajcci ISc imperatotum ita vocabantur , non "gamba,"
vel "campa," qua pro crure pofteriores wfuipatunt, quod crure
tenus calcea xeniui: id k corrigiarum flexuris, & implicaturis , quibus
circumligabantur. lologiae et Mercurii
di Marziano Capella (I 68), e avanza una nuova ipotesi di ... naculis implicaturis in
retia sua praecipites implagabuntur, syllogismis tuae pro- ... miliae suae
longo ordine ac multis stemmatum inligata flexuris in
parte prima. It may be argued that when Grice compares ‘impicature’ to “the
‘implying,’ that’s a feminine form, cognate with German/Dutch, -ung. Cf. Grice,
“The conception of value” – The conceiving of value,” the concept of value, the
conceptus of value, the conceptum of value. Active
Nominal Forms Present participle: cōncipiēns; cōncipiéntis Future participle:
cōnceptúrus Passive Nominal Forms Perfect participle: cōnceptum. Since Grice
plays with this in “Conception of value,” let’s compare. “Grice: “It is worth
comparing ‘to conceive’ with ‘to employ’.” Active present participle: implicans
– concipiens, concipientis --. Active future participle:
implicaturum/impliciturm, concepturus --. Passive perfect participle:
implicatum/implicitum – conceptum. Hardie would ask, “what do you mean ‘of’?” –
The implication of implication. The conception of value. In an objective
(passive) interpretation: it’s the conceptum of ‘value’. In a subjective
(active) interpretion, it’s the ‘conceiving’ of ‘value.’ Cfr. “the love of
god,” “the fear of the enemy.” “The implication of implication.” For Grice,
it’s the SENDER who implicates, a rational agent – although he may allow for an
expression to ‘imply’ – via connotation --, and provided the sender does, or
would occasionally do. In terms of the subjective/active, and objective/passive
distinction, we would have, ‘implication,’ as in Strawson’s implication,
meaning Strawson’s ‘implying’ (originally a feminine noun), i. e. Strawson’s
‘implicatio’ and Strawson’s ‘implicatura’, and Strawson’s ‘implicature,’ and
Strawson’s ‘implicaturum’/’impliciturm.’ In terms of the passive/objective
realm, what is implied by Strawson – the implicatum, and the implicitum. There
passive interpretation allows for only one form (with two vowel alternates):
implicatum and implicitum. The active forms can be present: ‘implicans’ and
‘implicaturum’. If it’s Strawson the ‘implier’ – implicans is ‘masculine.’ If
it’s Strawson the one about to imply, it’s “Strawson implicaturus” --. By use
of the genitive – “Ciceronis” we would have, “implicatura Ciceronis” – Cicero’s
implicature --, Cicero the implier, Cicero implicans --. Surely Cicero did
something to imply. This ‘something’ is best conceived in the neuter,
‘implicans,’ as applied, say, to sententia, or propositio – ‘propositio
implicans – ‘sententia implicans’ – ‘implicatura’ would refer to the act of
implying – as the conceiving of value --. Since ‘implicatura’ is formed out of
the future participle, its corresponding form in the neuter would be
‘implicaturum.’ By his handwave (implicaturum/implicitum – qua vehicle of
Cicero’s implicature – or implicatura – his act of implying), Cicero
(implicans) implies (implicat) this or that ‘implicatum’ or ‘implicitum.’ Or,
Grice’s implication. Grice makes an important distinction which he thinks
Austin doesn’t make because what a philosopher EXPLICITLY conveys and what he
IMPLICITLY conveys. It was only a few years Grice was interacting
philosophically with Austin and was reading some material by Witters, when
Grice comes with this criticism and complaint. Austin ignores “all too
frequently” a distinction that Witters apparently dnies. This is a distinction
between what an emissor communicates (e. g. that p), which can be either
explicitly (that p1) or implicitly (that p2) and what, metabolically, and
derivatively, the emissum ‘communictates’ (explicitly or implicitly). At the
Oxford Philosophical Society, he is considering Moore’s ‘entailment.’ This is
not a vernacular expression, but a borrowing from a Romance language. But
basically, Moore’s idea is that ‘p’ may be said to ‘entail’ q iff at least two
conditions follow. Surely ‘entail’ has only one sense. In this metabolically
usage where it is a ‘p’ that ‘entails’ the conditions are that there is a
property and that there is a limitation. Now suppose Grice is discussing with
Austin or reading Witters. Grice wants to distinguish various things: what the
emissor communicates (explicitly or implicitly) and the attending diaphanous
but metabolical, what WHAT THE EMSSOR COMMUNICATES (explicitly or implicitly)
ENTAILS, AND the purely metabolical what the emissum ‘entails’ (explicitly or
implicitly). This is Grice’s wording:“If we can elucidate the meaning of
"A meantNN by x that p (on a particular occasion)," this might
reasonably be expected to help us with the explication of "entails.”The
second important occasion is in the interlude or excursus of his Aristotelian
Society talk. How does he introduce the topic of ‘implication’? At that time
there was a lot being written about ‘contextual’ or ‘pragmatic’ implication –
even within Grice’s circle – as in D. K. Grant’s essay on pragmatic implication
for Philosophy, and even earlier Nowell-Smith’s on ‘contextual implication’ in
“Ethics,” and even earlier, and this is perhaps Grice’s main trigger, P. F.
Strawson’s criticism of Whitehead and Russell, with Strawson having that, by
uttering ‘The king of France is not bald,’ the emissor IMPLIES that there is a
king of France (Strawson later changes the idiom from ‘imply,’ and the
attending ‘implication, to ‘presuppose,’ but he keeps ‘imply’ in all the
reprints of his earlier essays). In
“Causal Theory,” Grice surely cannot just ‘break’ the narrative and start with
‘implication’ in an excursus. So the first stage is to explore the use of
‘implication’ or related concepts in the first part of “Causal Theory” LEADING
to the excursus for which need he felt. The first use appears in section 2. The use is the noun, ‘implication.’ And Grice
is reporting the view of an objector, so does not care to be to careful
himself.“the OBJECTION MIGHT run as follows.” “… When someone makes a remark
such as “The pillar box seems red” A CERTAIN IMPLICATION IS CARRIED.” He goes
on “This implication is “DISJUNCTIVE IN FORM,” which should not concerns us
here. Since we are considering the status of the implication, as seen by the
objector as reported by Grice. He does not give a source, so we may assume G.
A. Paul reading Witters, and trying to indoctrinate a few Oxonians into
Wittgensteinianism (Grice notes that besides the playgroup there was Ryle’s group
at Oxford and a THIRD, “perhaps more disciplined” group, that tended towards
Witters.Grice goes on:“It IS implied that…” p. Again, he expands it, and
obviously shows that he doesn’t care to be careful. And he is being ironic,
because the implication is pretty lengthy! Yet he says, typically:“This may not
be an absolutely EXACT or complete characterisation of the implication, but it
is, perhaps, good ENOUGH to be going with!” Grice goes on to have his objector
a Strawsonian, i. e. as REFUSING TO ASSIGN A TRUTH-VALUE to the utterance,
while Grice would have that it is ‘uninterestingly true. In view of this it may
to explore the affirmative and negative versions. Because the truth-values may
change:In Grice’s view: “The pillar box seems red to me” IS “UNINTERESTINGLY
TRUE,” in spite of the implication.As for “It is not the case that the pillar
box seems red,” this is more of a trick. In “Negation,” Grice has a similar
example. “That pillar box is red; therefore, it is not blue.”He is concerned
with “The pillar box is not blue,” or “It is not the case that the pillar box
is blue.”What about the truth-value now of the utterance in connection with the
implication attached to it?Surely, Grice would like, unless accepting
‘illogical’ conversationalists (who want to make that something is UNASSERTIBLE
or MISLEADING by adding ‘not’), the utterance ‘It is not the case that the
pillar box seems red to me’ is FALSE in the scenario where the emissor would be
truthful in uttering ‘The pillar box seems red to me.” Since Grice allows that
the affirmative is ‘uninterestingly true,’ he is committed to having ‘It is not
the case that the pillar box seems red’ as FALSE.For the Strawsonian
Wittgensteinian, or truth-value gap theorist, the situation is easier to
characterise. Both ‘The pillar box seems red to me” and its negation, “The
pillar box does not seem red to me” lack a truth value, or in Grice’s word, as
applied to the affirmative, “far from being uninterestingly true, is neither
true nor false,” i. e. ‘neuter.’ It wold not be true but it would not be false
either – breakdown of bivalence. Grice’s case is a complicated one because he
distinguishes between the sub-perceptual “The pillar box seems red” from the
perceptual ‘vision’ statement, “Grice sees that the pillar box is red.” So the
truth of “The pillar box seems red” is a necessary condition for the statement
about ‘seeing.’ This is itself controversial. Some philosophers have claimed
that “Grice knows that p” does NOT entail “Grice believes that p,” for example.
But for the causal theory Grice is thinking of an analysis of “Grice sees that
the pillar box is red” in terms of three conditions: First, the pillar box
seems red to Grice. Second, the pillar box is red. And third, it is the pillar
box being red that causes it seeming red to Grice. Grice goes to reformulate
the idea that “The pillar box seems red” being true. But now not
“uninterestingly true,” but “true (under certain conditions),” or as he puts it
“(subject to certain qualifications) true.” He may be having in mind a clown in
a circus confronted with the blue pillar box and making a joke about it. Those
‘certain qualifications’ would not apply to the circus case. Grice goes on to
change the adverb, it’s ‘boringly true,’ or ‘highly boringly true.’ He adds ‘suggestio
falsi,’ which seems alright but which would not please the Wittgensteinian who
would also reject the ‘false.’ We need a ‘suggestio neutri.’ In this second
section, he gives the theoretical explanation. The “implication” arises “in
virtue of a GENERAL FEATURE OR PRINCIPLE” of conversation, or pertaining to a
system put in ‘communication,’ or a general feature or principle governing an
emissor communicating that p. Note that ‘feature’ and ‘principle’ are
appropriately ‘vague.’ “Feature” can be descriptive. “Principle” is
Aristotelian. Boethius’s translation for Aristotle’s ‘arche.’ It can be
descriptive. The first use of ‘principle’ in a ‘moral’ or ‘practical’ context
seems to post-date its use in, say, geometry – Euclid’s axioms as ‘principia
mathematica,’ or Newton’s “Principia.” Grice may be having in mind Moore’s
‘paradox’ (true, surely) when Grice adds ‘it is raining.’Grice’s careful
wording is worth exploring. “The mistake [incorrectness, falsehood] of
supposing the implication to constitute a "part of the meaning [sense]” of
"The Alpha seems Beta" is somewhat similar to, though MORE INSIDUOUS …”[moral
implication here: 1540s, from Middle
French insidieux "insidious"
(15c.) or directly from Latin insidiosus "deceitful, cunning, artful,
treacherous," from insidiae (plural) "plot, snare, ambush,"
from insidere "sit
on, occupy," from in- "in" (from PIE root *en "in")
+ sedere "to
sit," from PIE root *sed- (1) "to
sit." Figurative, usually with a suggestion of lying in wait and the
intent to entrap. Related: Insidiously; insidiousness]“than,
the mistake which one IF one supposes that the SO-CALLED [‘pragmatic’ or
‘contextual – implicaturum, “as I would not,” and indeed he does not – he
prefers “expresses” here, not the weak ‘imply’] “implication” that one believes
it to be raining is "a part of the meaning [or sense]" of the
expression [or emissum] "It is raining.”Grice allows that no philosopher
may have made this mistake. He will later reject the view that one
conversationally implicates that one believes that it is raining by uttering
‘It is raining.’ But again he does not give sources. In these case, while
without the paraphernalia about the ‘a part of the ‘sense’” bit, can be
ascribed at Oxford to Nowell-Smith and Grant (but not, we hope to Strawson).
Nowell-Smith is clear that it is a contextual implication, but one would not
think he would make the mistake of bringing in ‘sense’ into the bargain. Grice
goes on:“The short and literally inaccurate reply to such a supposition [mistake]
might be that the so-called “implication” attaches because the expression (or
emissum) is a PROPOSITIONAL one [expressable by a ‘that so-and-so’ clause] not
because it is the particular propositional expression which it happens to be.”By
‘long,’ Grice implicates: “And it is part of the function of the informative
mode that you utter an utterance in the informative mode if you express your
belief in the content of the propositonal expression.”Grice goes on to analyse
‘implication’ in terms of ‘petitio principii.’ This is very interesting and
requires exploration. Grice claims that his success the implicaturum in the
field of the philosophy of perception led his efforts against Strawson on the
syncategoremata.But here we see Grice dealing what will be his success.One
might, for example, suggest that it is open to the champion of sense_data to
lay down that the sense-datum sentence " I have a pink sense-datum "
should express truth if and only if the facts are as they would have to be for
it to be true, if it were in order, to say .. Something looks pink to me
", even though it may not actually be in ordei to say this (because the
D-or-D condition is unfulfilled). But this attempt to by-pass the objector's
position would be met by the reply that it begs the question; for it assumes
that there is some way of specifying the facts in isolation from the
implication standardly carried by such a specification; and this is precisely
what the objector is denying.Rephrasing that:“One might, for example, suggest
that it is open to the champion of sense_data to lay down that the sense-datum
sentence "The pillar box seems red” is TRUE if and only if the facts are
as the facts WOULD HAVE to be for “The pillar box seems red” to be true, IF (or
provided that) it were IN ORDER [i. e. conversationally appropriate], to utter
or ‘state’ or explicitly convey that the pillar box seems red, even though it
may NOT actually be in order [conversationally appropriate] to explicitly
convey that the pillar box seems red (because the condition specified in the
implication is unfulfilled).”“But this attempt to by-pass the objector's
position would be met by a charge of ‘petitio principia,’ i. e. the reply that
it begs the question.”“Such a manoeuvre
is invalid in that it assumes that there IS some way of providing a
SPECIFICATION of the facts of the matter in isolation from, or without recourse
to, the implication that is standardly carried by such a specification.”“This
is precisely what the objector is denying, i. e. the objector believes it is
NOT the case that there is a way of giving a specification of the scenario
without bringing in the implication.”Grice refers to the above as one of the
“frustrations,” implicating that the above, the ‘petitio principia,’ is just
one of the trials Grice underwent before coming with the explanation in terms
of the general feature of communication, or as he will late express, in terms
of ‘what the hell’ the ‘communication-function’ of “The pillar seems red to me”
might be when the implicaturum is not meant – and you have to go on and cancel
it (“That pillar box seems red; mind, I’m not suggesting that it’s not – I’m
practicing my sub-perceptual proficiency.”).Grice goes on to note the
generality he saw in the idea of the ‘implication.’ Even if “The pillar box
seems red” was his FIRST attack, the reason he was willing to do the attacking
was that the neo-Wittgensteinian was saying things that went against THE TENOR
OF THE THINGS GRICE would say with regard to other ‘linguistic philosophical’
cases OTHER than in the philosophy of perception, notably his explorations were
against Malcolm reading of Moore, about Moore ‘misusing’ “know.”Grice:“I was
inclined to rule against my objector, partly because his opponent's position
was more in line with the kind of thing I was inclined to say about other
linguistic phenomena which are in some degree comparable.”Rephrase:“My natural
inclination was to oppose the objector.”“And that was because his opponent's
position is more “in line” with the kind of thing Grice is inclined to say – or
thesis he is willing to put forward-- about OTHER phenomena involving this or
that ‘communication-function’ of this or that philosophical adage, which are in
some degree comparable to “The pillar box seems red.””So just before the
‘excursus,’ or ‘discursus,’ as he has it – which is then not numbered – but
subtitlted (‘Implication’), he embark on a discursus about “certain ASPECTS of
the concept OR CONCEPTS of implication.”He interestingly adds: “using some more
or less well-worn examples.” This is not just a reference to Strawson, Grant,
Moore, Hungerland and Nowell-Smith, but to the scholastics and the idea of the
‘suppositio’ as an ‘implicatio,’: “Tu non cessas edere ferrum.” Grice says he
will consider only four aspects or FOUR IDEAS (used each as a ‘catalyst’) in
particular illustrations.“Smith has not ceased beating his wife.”“Smith’s girlfriend
is poor, but honest.”“Smith’s handwriting is beautiful”“Smith’s wife is in the
kitchen or in the bathroom.”Each is a case, as Grice puts it, “in which in
ordinary parlance, or at least in Oxonian philosophical parlance, something
might be said to be ‘implied’ (hopefully by the emissor) -- as distinct from
being ‘stated,’ or ‘explicitly put.’One first illustrationEXPLICITLY CONVEYED:
“Smith has not ceased beating his wife.” IMPLICITLY CONVEYED, but cancellable:
“Smith has been beating his wife.”CANCELLATION: “Smith has not ceased beating
his wife; he never started.”APPLY THREE OTHER IDEAS.A second illustrationEXPLICITLY
CONVEYED:“Smith’s girlfriend is poor, but honest.”IMPLICITLY CONVEYED: “There
is some contrast between Smith’s girlfriend’s honesty and her poverty; and
possibly between Smith and the utterer.”CANCELLATION: “I’m sorry, I cannot
cancel that.”TRY OTHER THREE IDEAS.A third illustrationEXPLICITLY CONVEYED
“Smith’s handwriting is beautiful” – “Or “If only his outbursts were more
angelic.”IMPLICITLY CONVEYED: “He possibly cannot read Hegel in German.”CANCELLATION:
“Smith’s handwriting is beautiful; on top, he reads Hegel in German.”TRY
THREEOTHER IDEASA fourth illustration:EXPLICITLY CONVEYED: “Smith’s wife is in
the kitchen or in the bathroom.”IMPLICITLY CONVEYED: “It is not the case that I
have truth-functional grounds to express disjunct D1, and it is not the case
that I have truth-functional grounds to express disjunct D2; therefore, I am
introducting the disjunction EITHER than by the way favoured by Gentzen.”
(Grice actually focuses on the specific ‘doxastic’ condition: emissor believes
…CANCELLATION: “I know perfectly well where she is, but I want you to find out
for yourself.”TRY THREE OTHER IDEAS.Within the discursus he gives SIX (a
sextet) other examples, of the philosophical type, because he is implicating
the above are NOT of the really of philosophical type, hence his reference to
‘ordinary parlance.’ He points out that he has no doubt there are other
candidates besides his sextet.FIRST IN THE SEXTETEXPLICITLY CONVEYED: “You
cannot see a knife as a knife, though you may see what is not a knife as a
knife.”IMPLICITLY CONVEYED: “”AS” REQUIRES A GESTALT.”CANCELLATION: “I see the
horse as a horse, because my gestalt is mine.”TRY THREE OTHER IDEASSECOND IN
THE SEXTET:EXPLICITLY CONVEYED:“When Moore said he knew that the objects before
him were human hands, he was guilty of misusing the word "know".”IMPLICITLY
CONVEYED: “You can only use ‘know’ for ‘difficult cases.’CANCELLATION: “If I
know that p iff I believe that p, p, and p causes my belief in p, I know that
the objects before me are human hands.”TRY THREE OTHER IDEAS.THIRD IN THE
SEXTETEXPLICITLY CONVEYED: “For an occurrence to be properly said to have a
‘cause,’ the occurrence must be something abnormal or unusual.”IMPLICILTY
CONVEYED: “Refrain from using ‘cause’ when the thing is normal and usual.”CANCELLATION:
“If I see that the pillar box is red iff the pillar box seems red, the pillar
box is red, and the pillar box being red causes the pillar box seeming red, the
cause of the pillar box seeming red is that the pillar box is red.”TRY OTHER
THREE IDEAS.FOURTH IN THE SEXTET: EXPLICITLY
CONVEYED: “For an action to be properly described as one for which the agent is
responsible, it must be the sort of action for which people are condemned.”IMPLICITLY
CONVEYED: “Refrain ascribing ‘responsibility’ to Timmy having cleaned up his
bedroom.”CANCELLATION: “Timmy is very responsible. He engages in an action for
which people are not condemned.”TRY THREE OTHER IDEAS.FIFTH IN THE SEXTET:EXPLICITLY
CONVEYED: “What is actual is not also possible.”IMPLICITLY CONVEYED: “There is
a realm of possibilities which does not overlap with the realm of
actualities.”CANCELLATION: “If p is actual iff p obtains in world w1, and p is
possible iff p obtains in any world wn which includes w1, p is possible.”TRY
THREE OTHER IDEAS.SIXTH IN THE SEXTETEXPLICITLY CONVEYED: “What is known by me
to be the case is not also believed by me to be the case.”IMPLICITLY CONVEYED:
“To know is magical!”CANCELLATION: “If I know that p iff I believe that p, p,
and p causes my believing that p, then what is known by me to be the case is
also believed by me to be the case.”TRY THREE OTHER IDEAS.CASE IN QUESTION:EXPLICITLY
CONVEYED: “The pillar box seems red.”IMPLICITLY CONVEYED: “One will doubt it
is.”CANCELLATION: “The pillar box seems red and I hope no one doubt it is.”TRY
THREE OTHER IDEAS. THAT LISTING became commonplace for Grice. In
ProlegomenaGROUP A: EXAMPLE I: RYLE on ‘voluntarily’ and “involuntarily” in
“The Concept of Mind.” RYLE WAS LISTENING! BUT GRICE WAS without reach! Grice
would nothavecriticised Ryle at a shorter distance.EXAMPLE II: MALCOLM IN
“Defending common sense” in the Philosophical Review, on Moore’s misuse of
‘know’ – also in Causal, above, as second in the sextet.EXPLICITLY CONVEYED:“When
Moore said he knew that the objects before him were human hands, he was guilty
of misusing the word "know".REPHRASE IN “PROLEGOMENA.”IMPLICITLY
CONVEYED: “You can only use ‘know’ for ‘difficult cases.’CANCELLATION: “If I
know that p iff I believe that p, p, and p causes my belief in p, I know that
the objects before me are human hands.”EXAMPLE III: BENJAMIN ON BROAD ON THE
“SENSE” OF “REMEMBERING”EXPLICITLY CONVEYED;IMPLICITLY CONVEYEDCANCELLATIONEXAMPLES,
GROUP A, CLASS IV: philosophy of perception FIRST EXAMPLE: Witters on ‘seeing
as’ in Philosophical InvestigationsEXPLICITLY CONVEYEDIMPLICITLY
CONVEYEDCANCELLATION.Previously used in Causal as first in the sextet: FIRST IN
THE SEXTETEXPLICITLY CONVEYED: “You cannot see a knife as a knife, though you
may see what is not a knife as a knife.”Rephrased in Prolegomena. IMPLICITLY
CONVEYED: “”AS” REQUIRES A GESTALT.”CANCELLATION: “I see the horse as a horse,
because my gestalt is mine.”GROUP A – CLASS IV – PHILOSOPHY OF PERCEPTIONEXAMPLE
II – “The pillar box seems red to me.”Used in“Causal”EXPLICITLY CONVEYED: “The
pillar box seems red.”IMPLICITLY CONVEYED: “One will doubt it is.”CANCELLATION:
“The pillar box seems red and I hope no one doubt it is.”GROUP A – CLASS V –
PHILOSOPHY OF ACTION – Here unlike Class IV, he uses (a), etc.EXAMPLE A: WITTERS
AND OTHERS on ‘trying’ EXPLICITLY CONVEYEDIMPLICITLY CONVEYED:CANCELLATIONGROUP
A – CLASS V – “ACTION,” not ‘philosophy of action’ – cf. ‘ordinary
parlance.’EXAMPLE B: Hart on ‘carefully.’EXPLICITLY CONVEYEDIMPLICITLY CONVEYEDCANCELLATION
GROUP A – CLASS V – ACTIONEXAMPLE C: Austin in “A plea for excuses” on
‘voluntarily’ and ‘involuntarily’ – a refinement on Ryle above – using variable
“Mly” – Grice would not have criticised Austin in the play group. He rather
took it against his tutee, Strawson.EXPLICITLY CONVEYED IMPLICITLY
CONVEYEDCANCELLATIONGROUP B: syncategorema – not lettered butFIRST EXAMPLE:
“AND” (not ‘not’)SECOND EXAMPLE: “OR”THIRD EXAMPLE: “IF” – particularly
relevant under ‘implication.’ STRAWSON, Introduction to logical theory.GRICE’S
PHRASING: “if p, q” ENTAILS ‘p horseshoe q.’ The reverse does not hold: it is
not the case that ‘p horseshoe q’ ENTAILS ‘if p, q’. Odd way of putting it, but
it was all from Strawson. It may be argued that ‘entail’ belongs in a system,
and ‘p horseshoe q’ and ‘if p, q’ are DISPARATE. Grice quotes verbatim from
Strawson:a ‘primary or standard’ use of “if … then …,” or “if,” of which the
main characteristics were: that for each hypothetical statement made by this
use of “if,” there could be made just one statement which would be the
antecedent of the hypothetical and just onestatement which would be its
consequent; that the hypothetical statement is acceptable (true, reasonable) if
the antecedent statement, if made or accepted, would, in the circumstances, be
a good ground or reason for accepting the consequent statement; and that the
making of the hypothetical statement carries the implicationeither of
uncertainty about, or of disbelief in, the fulfilment of both antecedent and
consequent.Grice rephrases that by stating that for Grice “a primary or
standard use of ‘if, then’” is characterised as follows:“for each hypothetical
statement made by this use of “if,” there could be made just one statement
which would be the antecedent of the hypothetical and just one statement which
would be its consequent; that the hypothetical statement is acceptable (true,
reasonable) if the antecedent statement, if made or accepted, would, in the
circumstances, be a good ground or reason for accepting the consequent
statement; and that the making of the hypothetical statement carries the
implication either of uncertainty about, or of disbelief in, the fulfilment of both
antecedent and consequent.”Grice rephrases the characterisation as from “each”
and eliding a middle part, but Grice does not care to add the fastidious “[…],”
or quote, unquote.“each hypothetical ‘statement’ made by this use of “if” is
acceptable (TRUE, reasonable) if the antecedent ‘statement,’ IF made or
accepted, would, in the circumstances, be a good ground or reason for accepting
the consequent ‘statement;’ and that the making of thehypothetical statement
carries the implication either of uncertainty about, or of disbelief in, the
fulfilment of both antecedent and consequent.
“A hypothetical, or conditional ‘statement’ or composite proposition
such as “If it is day, I talk”is acceptable (or TRUE, or ‘reasonable’) if (but
not only if), first, the antecedent ‘statement,’ ‘It is day,’ IF made on its
own, or accepted on its own, i. e. simpliciter, would, in the circumstances, be
a good ground or ‘reason’ for accepting the consequent ‘statement,’ to wit: “I
talk;” and, second, that the making of the conditional proposition or hypothetical
‘statement’ carries the implication, or rather the emissor of the emissum
IMPLIES, either it is not the case that the emissor is CERTAIN about or that it
is day and CERTAIN about or that he talks, or BELIEVES that it is day and
BELIEVES that he talks.”More or less Grice’s denial or doubt. Or rather ‘doubt’
(Strawson’s ‘uncertainty about’) or denial (‘disbelief in’). But it will do at
this point to explore the argument by Strawson to which Grice is responding.
First two comments. Strawson has occasion to respond to Grice’s response in
more than one opportunity. But Grice never took up the issue again in a
detailed fashion – after dedicating a full lecture to it. One occasion was
Strawson’s review of the reprint of Grice in 1989. Another is in the BA
memorial. The crucial one is repr. by Strawson (in a rather otiose way) in his
compilation, straight from PGRICE. This is an essay which Strawson composed
soon after the delivery by Grice of the lecture without consulting. Once Stawson
is aware of Grice’s terminology, he is ready to frame his view in Grice’s
terms: for Strawson, there IS an implicaturum, but it is a conventional one.
His analogy is with the ‘asserted’ “therefore” or “so.” Since this for Grice
was at least the second exemplar of his manoeuvre, it will do to revise the
argument from which Grice extracts the passage in “Prolegomena.” In the body of
the full lecture IV, Grice does not care to mention Strawson at all; in fact,
he makes rather hasty commentaries generalising on both parties of the debate:
the formalists, who are now ‘blue-collared practitioners of the sciences,” i.
e. not philosophers like Grice and Strawson; and the informalists or
‘traditionalists’ like Strawson who feel offended by the interlopers to the
tranquil Elysium of philosophy. Grice confesses a sympathy for the latter, of
course. So here is straight from the tranquil Elysium of philosophy. For
Strawson, the relations between “if” and “⊃” have already, but only in part, been discussed (Ch.
2, S. 7).” So one may need to review those passages. But now he has a special
section that finishes up the discussion which has been so far only partial. So
Strawson resumes the points of the previous partial discussion and comes up
with the ‘traditionalist’ tenet. The
sign “⊃” is
called the material implication sign. Only by Whitehead and Russell, that is,
‘blue-collared practitioners of the sciences,’ in Grice’s wording. Whitehead
and Russell think that ‘material’ is a nice opposite to ‘formal,’ and ‘formal implication’
is something pretty complex that only they know to which it refers! Strawson
goes on to explain, and this is a reminder of his “Introduction” to his
“Philosophical Logic” where he reprints Grice’s Meaning (for some reason).
There Strawson has a footnote quoting from Quine’s “Methods of Logic,” where
the phrasing is indeed about the rough phrase, ‘the meaning of ‘if’’ – cf.
Grice’s laughter at philosophers talking of ‘the sense of ‘or’’ – “Why, one
must should as well talk of the ‘sense’ of ‘to,’ or ‘of’!’ – Grice’s implicaturum
is to O. P. Wood, whose claim to fame is for having turned Oxford into the
place where ‘the sense of ‘or’’ was the key issue with which philosophers were
engaged. Strawson goes on to say that
its meaning is given by the ‘rule’ that any statement of the form ‘p⊃q’ is FALSE in the case
in which the first of its constituent statements is true and the second false,
and is true in every other case considered in the system; i. e., the falsity of
the first constituent statement or the truth of the second are, equally,
sufficient conditions of the truth of a statement of material implication. The
combination of truth in the first with falsity in the second is the single,
NECESSARY AND SUFFICIENT, condition of its falsity. The standard or primary --
the importance of this qualifying phrase, ‘primary,’ can scarcely be
overemphasized – Grice omits this bracket when he expolates the quote. The
bracket continues. The place where Strawson opens the bracket is a curious one:
it is obvious he is talking about the primary use of ‘if’. So here he continues
the bracket with the observation that there are uses of “if” which do not answer to the description given
here, or to any other descriptions given in this [essay] -- use of “if”
sentence, on the other hand [these are Strawson’s two hands], are seen to be in
circumstances where, not knowing whether some statement which could be made by
the use of a sentence corresponding in a certain way to the sub-ordinated
clause of the utterance is true or not, or believing it to be false, the
emissor nevertheless considers that a step in reasoning from THAT statement to
a statement related in a similar way to the main clause would be a sound or
reasonable step [a reasonable reasoning, that is]; this statement related to
the main clause also being one of whose truth the emissor is in doubt, or which
the emissor believes to be false. Even in such circumstances as these a
philosopher may sometimes hesitate to apply ‘true’ to a conditional or
hypothetical statement, i.e., a statement which could be made by the use of “if
”(Philo’s ‘ei,’ Cicero’s ‘si’) in its
standard significance, preferring to call a conditional statement reasonable or
well-founded. But if the philosopher does apply ‘true’ to an ‘if’ utterance at
all, it will be in such circumstances as these. Now one of the sufficient
conditions of the truth of a ‘statement’ or formula of material implication may
very well be fulfilled without the conditions for the truth, or reasonableness,
of the corresponding hypothetical or conditional statement being fulfilled. A
statement of the form ‘p ⊃ q’ (where
the horseshoe is meant to represent an inverted ‘c’ for ‘contentum’ or
‘consequutum’ -- does not entail the corresponding statement of the ‘form’ “if
p, q.” But if the emissor is prepared to accept the hypothetical statement, he
must in consistency be prepared to deny the conjunction of the statement
corresponding to the sub-ordinated clause of the sentence used to make the
hypothetical statement with the negation of the statement corresponding to its
main or super-ordinated clause. A statement of the ‘form’ “if p, q” does entail
the corresponding statement of the form ‘p ⊃ q.’ The force of “corresponding” may need some
elucidation. Consider the following very ‘ordinary’ or ‘natural’ specimens of a
hypothetical sentence. Strawson starts with a totally unordinary subjective
counterfactual ‘if,’ an abyss with Philo, “If it’s day, I talk.” Strawson
surely involves The Hun. ‘If the Germans had invaded England in 1940, they,
viz. the Germans, would have won the war.’ Because for the Germans, invading
England MEANT winning the war. They never cared much for Wales or Scotland,
never mind Northern Ireland. Possibly ‘invaded London’ would suffice.
Strawson’s second instantiation again is the odd subjective counter-factual
‘if,’ an abyss or chasm from Philo, ‘If it’s day, I talk.’ “If Smith were in
charge, half the staff would have been dismissed.’ Strawson is thinking Noel
Coward, who used to make fun of the music-hall artist Wade. “If you WERE the
only girl in the world, and I WAS the only boy…’. The use of ‘were’ is Oxonian.
A Cockney is forbidden to use it, using ‘was’ instead. The rationale is
Philonian. ‘was’ is indicative. “If
Smith were in charge, half the staff would have been dismissed.’ Strawson’s
third instantiation is, at last, more or less Philonian, a plain indicative
‘weather’ protasis, etc. “If it rains, the match will be cancelled.” The only
reservation Philo would have is ‘will’. Matches do not have ‘will,’ and the sea
battle may never take place – the world may be destroyed by then. “If it rains,
the match will be cancelled.” Or “If it rains, the match is cancelled – but
there is a ‘rain date.’” The sentence which could be used to make a statement corresponding
in the required ‘sense’ to the sub-ordinate clause can be ascertained by
considering what it is that the emissor of each hypothetical sentence must (in
general) be assumed either to be in doubt about or to believe to be not the
case. Thus, the corresponding sentences. ‘The Germans invaded England in 1940.’
Or ‘The Germans invade England’ – historical present -- ‘The Germans won the
war.’ Or ‘The Germans win the war’ – historical present. ‘Smith is in charge.’
‘Half the staff has been dismissed.’ Or ‘Half the staff is dismissed.’ ‘It will
rain.’ Or ‘It rains.’‘The match will be cancelled.’ Or ‘The match is
cancelled.’ A sentence could be used to make a statement of material
implication corresponding to the hypothetical statement made by the sentence is framed, in each case, from these
pairs of sentences as follows. ‘The Germans invaded England in 1940 ⊃ they won the war.’ Or in
the historical present,’The Germans invade London ⊃ The Germans win the war.
‘ ‘Smith is in charge ⊃
half the staff has been, dismissed.’ Or in the present tense, ‘Smith is in
charge ⊃
half the staff is dismissed.’ ‘ It will rain ⊃ the match will be cancelled.’ Or in the present ‘It
rains ⊃ the
match is cancelled.’ The very fact that
a few verbal modifications are necessary to please the Oxonian ear, in order to
obtain from the clauses of the hypothetical sentence the clauses of the
corresponding material implication sentence is itself a symptom of the radical
difference between a hypothetical statement and a truth-functional statement.
Some detailed differences are also evident from these instantiations. The
falsity of a statement made by the use of ‘The Germans invade London in 1940’
or ‘Smith is in charge’ is a sufficient condition of the truth of the
corresponding statements made by the use of the ⊃-utterances. But not, of course, of the corresponding
statement made by the use of the ‘if’ utterance. Otherwise, there would
normally be no point in using an ‘if’ sentence at all.An ‘if’ sentence would
normally carry – but not necessarily: one may use the pluperfect or the
imperfect subjunctive when one is simply working out the consequences of an
hypothesis which one may be prepared eventually to accept -- in the tense or
mode of the verb, an implication (or implicaturum) of the emissor’s belief in
the FALSITY of the statements corresponding to the clauses of the hypothetical.That
it is not the case that it rains is sufficient to verify (or truth-functionally
confirm) a statement made by the use of “⊃,” but not a statement made by the use of ‘if.’ That it
is not the case that it rains is also sufficient to verify (or
truth-functionally confirm) a statement made by the use of ‘It will rain ⊃ the match will not be
cancelled.’ Or ‘It rains ⊃ the
match is cancelled.’ The formulae ‘p ⊃ q’ and ‘p ⊃ ~ q' are consistent with one another.The joint
assertion of corresponding statements of these forms is equivalent to the
assertion of the corresponding statement of the form ‘~ p.’ But, and here is
one of Philo’s ‘paradoxes’: “If it rains, the match will be cancelled” (or ‘If
it rains, the match is cancelled’) seems (or sounds) inconsistent with “If it
rains, the match will not be cancelled,’ or ‘If it rains, it is not the case
that the match is cancelled.’But here we add ‘not,’ so Philo explains the
paradox away by noting that his account is meant for ‘pure’ uses of “ei,” or
“si.”Their joint assertion in the same context sounds self-contradictory. But
cf. Philo, who wisely said of ‘If it is day, it is night’ “is true only
at night.” (Diog. Laert. Repr. in Long, The Hellenistic Philosophers). Suppose
we call the statement corresponding to the sub-ordinated clause of a sentence
used to make a hypothetical statement the antecedent of the hypothetical statement;
and the statement corresponding to the super-ordinated clause, its consequent. It
is sometimes fancied that, whereas the futility of identifying a conditional
‘if’ statement with material implication is obvious in those cases where the
implication of the falsity of the antecedent is normally carried by the mode or
tense of the verb – as in “If the Germans invade London in 1940, they, viz. the
Germans, win the war’ and ‘If Smith is in charge, half the staff is dismissed’
-- there is something to be said for at least a PARTIAL identification in cases
where no such implication is involved, i.e., where the possibility of the truth
of both antecedent and consequent is left open – as in ‘If it rains, the match
is cancelled.’ In cases of the first kind (an ‘unfulfilled,’ counterfactual, or
‘subjunctive’ conditional) the intended addressee’s attention is directed, as
Grice taught J. L. Mackie, in terms of the principle of conversational
helpfulness, ONLY TO THE LAST TWO ROWS of the truth-tables for ‘ p ⊃ q,’ where the antecedent
has the truth-value, falsity. Th suggestion that ‘~p’ ‘entails’ ‘if p, q’ is
felt or to be or ‘sounds’ – if not to Philo’s or Grice’s ears -- obviously
wrong. But in cases of the second kind
one inspects also the first two ROWS. The possibility of the antecedent's being
fulfilled is left open. It is claimed that it is NOT the case that the
suggestion that ‘p ⊃ q’ ‘entails’
‘if p, q’ is felt to be or sound obviously wrong, to ANYBODY, not just the
bodies of Grice and Philo. This Strawson calls, to infuriate Grice, ‘an
illusion,’ ‘engendered by a reality.’The fulfilment of both antecedent and
consequent of a hypothetical statement does not show that the man who made the
hypothetical statement is right. It is not the case that the man would be
right, Strawson claims, if the consequent is made true as a result of this or
that factor unconnected with, or in spite of, rather than ‘because’ of, the
fulfilment of the antecedent. E. g. if
Grice’s unmissable match is missed because the Germans invade – and not because
of the ‘weather.’ – but cf. “The weather in the streets.” Strawson is prepared
to say that the man (e. g., Grice, or Philo) who makes the hypothetical
statement is right only if Strawson is also prepared to say that the antecedent
being true is, at least in part, the ‘explanation’ of the consequent being
true. The reality behind the illusion Strawson naturally finds ‘complex,’ for
surely there ain’t one! Strawson thinks that this is due to two phenomena. First,
Strawson claims, in many cases, the fulfilment of both antecedent and
consequent provides confirmation for the view that the existence of states of
affairs like those described by the antecedent IS a good ‘reason’ for expecting
(alla Hume, assuming the uniformity of nature, etc.) a states of affair like
that described by the consequent. Second, Starwson claims, a man (e. g. Philo,
or Grice) who (with a straight Grecian or Griceian face) says, e. g. ‘If it
rains, the match is cancelled’ makes a bit of a prediction, assuming the
‘consequent’ to be referring to t2>t1 – but cf. if he is reporting an event
taking place at THE OTHER PLACE. The prediction Strawson takes it to be ‘The
match is cancelled.’And the man is making the prediction ONLY under what
Strawson aptly calls a “proviso,” or “caveat,” – first used by Boethius to
translate Aristotle -- “It rains.” Boethius’s terminology later taken up by the
lawyers in Genoa. mid-15c., from Medieval
Latin proviso
(quod) "provided (that)," phrase at the beginning
of clauses in legal documents (mid-14c.), from Latin proviso "it being
provided," ablative neuter of provisus, past participle
of providere (see provide).
Related: Provisory.
And that the cancellation of the match because of the rain therefore leads us
to say, not only that the reasonableness of the prediction was confirmed, but
also that the prediction itself was confirmed. Because it is not the case that a statement of
the form ‘ p ⊃ q’ entails
the corresponding statement of the form ' if p, q ' (in its standard
employment), Strawson thinks he can find a divergence between this or that
‘rule’ for '⊃'
and this or that ‘rule’ for '’if ,’ in its standard employment. Because ‘if p, q’
does entail ‘p ⊃ q,’
we shall also expect to find some degree of parallelism between the rules. For
whatever is entailed by ‘p ⊃ q’ is entailed by ‘if p, q,’ though not everything
which entails ‘p ⊃ q’
does Strawson claims, entail ‘if p, q.’ Indeed,
we find further parallels than those which follow simply from the facts that
‘if p, q’ entails ‘p ⊃ q’
and that entailment is transitive. To some
laws for ‘⊃,’
Strawson finds no parallels for ‘if.’ Strawson notes that for at least four
laws for ‘⊃,’ we
find that parallel laws ‘hold’ good for ‘if. The first law is mentioned by
Grice, modus ponendo ponens, as elimination of ‘⊃.’ Strawson does not consider the introduction of the
horseshoe, where p an q forms a collection
of all active assumptions previously introduced which could have been used in
the deduction of ‘if p, q.’ When inferring ‘if p, q’ one is allowed
to discharge assumptions of the form p. The fact that after deduction
of ‘if p, q’ this assumption is discharged (not active is pointed
out by using [ ] in vertical notation, and by deletion from the set of
assumptions in horizontal notation. The latter notation shows better the
character of the rule; one deduction is transformed into the other. It shows
also that the rule for the introduction of ‘if’ corresponds to an
important metatheorem, the Deduction Theorem, which has to be proved in axiomatic
formalizations of logic. But back to the elimination of ‘if’. Modus
ponendo ponens. ‘‘((p ⊃ q).p)
⊃ q.’
For some reason, Strawson here mixes horseshoes and ifs as if Boethius is
alive! Grice calls these “half-natural, half-artificial.’ Chomsky prefers
‘semi-native.’ ‘(If p, q, and p) ⊃q.’ Surely what Strawson wants is a purely ‘if’ one,
such as ‘If, if p, q, and p, q.’ Some conversational implicaturum! As Grice notes: “Strawson thinks that one can
converse using his converses, but we hardly.’ The second law. Modus tollendo
tollens. ‘((p⊃q). ~
q)) ⊃ (~
p).’ Again, Strawson uses a ‘mixed’ formula: (if p, q, and it is not the case
that q) ⊃ it
is not the case that p. Purely unartificial: If, if p, q, and it is not the
case that q, it is not the case that p. The third law, which Strawson finds
problematic, and involves an operator that Grice does not even consider. ‘(p ⊃ q) ≡ (~ q ⊃ ~ p). Mixed version,
Strawson simplifies ‘iff’ to ‘if’ (in any case, as Pears notes, ‘if’ IMPLICATES
‘iff.’). (If p, q) ⊃ if
it is not the case that q, it is not the case that p. Unartificial: If, if p,
q, it is not the case that if q, it is not the case that p. The fourth law. ((p
⊃
q).(q ⊃ r))
⊃ (p ⊃ r). Mixed: (if p, q, and
if q, r) ⊃ (if
p, r). Unartificial: ‘If, if p, q, and if q, r, if p, r.’ Try to say that to
Mrs. Grice! (Grice: “It’s VERY SURPRISING that Strawson think we can converse
in his lingo!”). Now Strawson displays this or that ‘reservation.’ Mainly it is
an appeal to J. Austen and J. Austin. Strawson’s implicaturum is that Philo, in
Megara, has hardly a right to unquiet the tranquil Elysium. This or that
‘reservation’ by Strawson takes TWO pages of his essay. Strawson claims that the
reservations are important. It is, e. g., often impossible to apply
entailment-rule (iii) directly without obtaining incorrect or absurd results. Some
modification of the structure of the clauses of the hypothetical is commonly
necessary. Alas, Whitehead and Russell give us little guide as to which
modifications are required. If we apply
rule (iii) to our specimen hypothetical sentences, without modifying at all the
tenses or moods of the individual clauses, we obtain expressions which Austin
would not call ‘ordinary language,’ or Austen, for that matter, if not Macaulay.
If we preserve as nearly as possible the
tense-mode structure, in the simplest way consistent with grammatical requirements,
we obtain this or that sentence. TOLLENDO TOLLENS. ‘If it is not the case that
the Germans win the war, it is not the case that they, viz. the Germans, invade
England in 1940.’ ‘If it is not the case that half the staff is dismissed, it
is not the case that Smith is in charge.’ ‘If it is not the case that the match
is cancelled, it is not the case that it rains.’ But, Strawson claims, these
sentences, so far from SOUNDING or seeming logically equivalent to the
originals, have in each case a quite different ‘sense.’ It is possible, at
least in some cases, to frame, via tollendo tollens a target setence of more or
less the appropriate pattern for which one can imagine a use and which DOES
stand in the required relationship to the source sentence. ‘If it is not the
case that the Germans win the war, (trust) it is not the case that they, viz.
the Germans, invade England in 1940,’ with the attending imlicatum: “only
because they did not invade England in 1940.’ or even, should historical
evidence be scanty). ‘If it is not the case that the Germans win the war, it
SURELY is not the case that they, viz. the Germans, invade London in 1940.’ ‘If
it is not the case that half the staff is dismissed, it surely is not the case
that Smith is in charge.’ These changes reflect differences in the
circumstances in which one might use these, as opposed to the original,
sentences. The sentence beginning ‘If
Smith is in charge …’ is normally, though not necessarily, used by a man who
antecedently knows that it is not the case that Smith is in charge. The
sentence beginning ‘If it is not the case that half the staff is dismissed …’ is normally, though not necessarily, used by
by a man who is, as Cook Wilson would put it, ‘working’ towards the ‘consequent’
conclusion that Smith is not in charge. To
say that the sentences are nevertheless truth-functionally equivalent seems to
point to the fact that, given the introduction rule for ‘if,’ the grounds for
accepting the original ‘if’-utterance AND the ‘tollendo tollens’ correlatum, would,
in two different scenarios, have been grounds for accepting the soundness or
validity of the passage or move from a premise ‘Smith is in charge’ to its
‘consequentia’ ‘consequutum,’ or ‘conclusion,’ ‘Half the staff is dismissed.’ One
must remember that calling each formula (i)-(iv) a LAW or a THEOREM is the same
as saying that, e.g., in the case of (iii), ‘If p, q’ ‘ENTAILS’ ‘If it is not
the case that q, it is not the case that p.’ Similarly, Strawson thinks, for
some steps which would be invalid for ‘if,’ there are corresponding steps that
would be invalid for ‘⊃.’ He
gives two example using a symbol Grice does not consider, for ‘therefore,’ or
‘ergo,’ and lists a fallacy. First example. ‘(p ⊃ q).q ∴ p.’
Second example of a fallacy:‘(p ⊃ q). ~p ∴ ~q.’
These are invalid inference-patterns, and so are the correlative patterns with
‘if’: ‘If p, q; and q ∴ p’ ‘If p, q; and it is
not the case that p ∴ it is not the case that q. The formal analogy here may be described by saying
that neither ‘p ⊃ q’ nor ‘if p, q’ is a simply convertible (“nor
hardly conversable” – Grice) formula. Strawson thinks, and we are getting
closer to Philo’s paradoxes, revisied, that there may be this or that laws which
holds for ‘p ⊃ q’
and not for ‘If p, q.’ As an example of
a law which holds for ‘if’ but not for ‘⊃,’ one may give an analytic formula. ~[(if p, q) . (if
p, it is not the case that q)]’. The corresponding formula with the horseshoe
is not analytic. ‘~[(p ⊃ q)
. (p ⊃
~q)]’ is not analytic, and is equivalent to the contingent formula ‘~ ~p.’ The
rules to the effect that this or that formula is analytic is referred to by
Johnson, in the other place, as the ‘paradox of implication.’ This Strawson
finds a Cantabrigian misnomer. If Whitehead’s and Russell’s ‘⊃’ is taken as identical
either with Moore’s ‘entails’ or, more widely, with Aelfric’s‘if’ – as in his “Poem to the If,”
MSS Northumberland – “If” meant trouble in Anglo-Saxon -- in its standard use,
the rules that yield this or that so-called ‘paradox’ -- are not, for Strawson,
“just paradoxical.” With an attitude, he adds. “They are simply incorrect.”This
is slightly illogical.“That’s not paradoxical; that’s incorrect.”Cf. Grice,
“What is paradoxical is not also incorrect.” And cf. Grice: “Philo defines a
‘paradox’ as something that surprises _his father_.’ He is ‘using’ “father,”
metaphorically, to refer to his tutor. His father was unknown (to him). On the
other hand (vide Strawson’s Two Hands), with signs you can introduce alla
Peirce and Johnson by way of ostensive definition any way you wish! If ‘⊃’ is given the meaning it
is given by what Grice calls the ‘truth-table definition,’ or ‘stipulation’ in
the system of truth functions, the rules and the statements they represent, may
be informally dubbed ‘paradoxical,’ in that they don’t agree with the ‘man in
the street,’ or ‘the man on High.’ The so-called ‘paradox’ would be a simple
and platitudinous consequence of the meaning given to the symbol. Strawson had
expanded on the paradoxes in an essay he compiled while away from Oxford. On
his return to Oxford, he submitted it to “Mind,” under the editorship by G.
Ryle, where it was published. The essay concerns the ‘paradoxes’ of
‘entailment’ in detail, and mentions Moore and C. I. Lewis. He makes use of
modal operators, nec. and poss. to render the ‘necessity’ behind ‘entail.’ He
thinks the paradoxes of ‘entailment’ arise from inattention to this modality. At
the time, Grice and Strawson were pretty sure that nobody then accepted, if
indeed anyone ever did and did make, the identification of the relation
symbolised by the horseshoe, ⊃, with the relation which Moore calls ‘entailment,’ p⊃q, i. e. The mere
truth-functional ‘if,’ as in ‘p ⊃ q,’ ‘~(pΛ~q)’ is rejected as an analysis of the
meta-linguistic ‘p entails q.’ Strawson thinks that the identification is
rejected because ‘p ⊃ q’
involves this or that allegedly paradoxical implicaturum.Starwson explicitly
mentions ‘ex falso quodlibeet.’ Any FALSE proposition entails any proposition,
true or false. And any TRUE proposition is entailed by any proposition, true or
falso (consequentia mirabilis). It is a commonplace that
Lewis, whom Grice calls a ‘blue-collared practioner of the sciences,’
Strawson thinks, hardly solved the thing. The amendment by Lewis, for Strawson,
has consequences scarcely less paradoxical in terms of the implicatura. For if
p is impossible, i.e. self-contradictory, it is impossible that p and ~q.
And if q is necessary, ~q is impossible and it is impossible that p and ~q; i.
e., if p entails q means it is impossible that p and ~q any necessary
proposition is entailed by any proposition and any self-contradictory
proposition entails any proposition. On the other hand, the definition by Lewis
of ‘strict’ implication or entailment (i.e. of the relation which holds from p
to q whenever q is deducible from p), Strawson thinks, obviously commends
itself in some respects. Now, it is clear that the emphasis laid on the
expression-mentioning character of the intensional contingent statement by
writing ‘ ‘pΛ~q’ is impossible instead’ of ‘It is impossible that p and ~q’
does not avoid the alleged paradoxes of entailment. But, Starwson
optimistically thinks, it is equally clear that the addition of some provision
does avoid them. Strawson proposes that one should use “p entails q” such that
no necessary statement and no negation of a necessary statement can
significantly be said to “entail” or be entailed by any statement; i. e. the
function “p entails q” cannot take necessary or self-contradictory statements
as arguments. The expression “p entails q” is to be used to mean “ ‘p ⊃ q’ is necessary, and
neither ‘p’ nor ‘q’ is either necessary or self-contradictory.” Alternatively,
“p entails q” should be used only to mean “ ‘pΛ~q’ is impossible and neither ‘p’
nor ‘q,’ nor either of their contradictories, is necessary. In this way,
Strawson thinks the paradoxes are avoided. Strawson’s proof. Let us assume that
p1 expresses a contingent, and q1 a necessary, proposition. p1 and ~q1 is now
impossible because ~q1 is impossible. But q1 is necessary. So, by that
provision, p1 does not entail q1. We may avoid the paradoxical assertion “p1
entails q2” as merely falling into the equally paradoxical assertion “ “p1 entails
q1” is necessary.” For: If ‘q’ is necessary, ‘q is necessary’ is, though true,
not necessary, but a CONTINGENT INTENSIONAL (Latinate) statement. This becomes part of the
philosophers lexicon: intensĭo, f. intendo, which L and S render as
a stretching out, straining, effort. E. g. oculorum, Scrib. Comp. 255.
Also an intensifying, increase. Calorem suum (sol) intensionibus ac
remissionibus temperando fovet,” Sen. Q. N. 7, 1, 3. The tune: “gravis, media,
acuta,” Censor. 12. Hence: ‘~ (‘q’ is necessary)’ is, though false,
possible. Hence “p1 Λ ~ (q1 is necessary)” is, though false, possible. Hence ‘p1’ does NOT entail ‘q1 is necessary.’ Thus,
by adopting the view that an entailment statement, and other intensional
statements, are contingent, viz. non-necessary, and that no necessary statement
or its contradictory can entail or be entailed by any statement, Strawson
thinks he can avoid the paradox that a necessary proposition is entailed by any
proposition, and indeed all the other associated paradoxes of entailment. Grice objects that the alleged cure by
Strawson is worse than disease of Moore! The denial that a necessary proposition can
entail or be entailed by any proposition, and, therefore, that necessary
propositions can be related to each other by the entailment relation, is too
high a price to pay for the solution of the paradoxes, which are perfectly true
utterances with only this or that attending cancellable implicaturum. Strawson’s
introduction of ‘acc.’ makes sense. Which makes sense in that Philo first
supplied his truth-functional account of ‘if’ to criticise his tutor Diodorus
on modality. Philo reported to Diodorus something he had heard from Neptune. In
dreams, Neptune appeared to Philo and told him: “I saw down deep in the waters
a wooden trunk of a plant that only grows under weather – algae -- The trunk
can burn!” Neptune said.Awakening, Philo ran to Diodorus: “A wooden trunk deep
down in the ocean can burn.” Throughout this section, Strawson refers to a
‘primary or standard’ use of ‘if,’ of which the main characteristics are
various. First, that for each hypothetical statement made by this use of ‘if,’ there
could be made just one statement which would be the antecedent of the
hypothetical and just one statement which would be its consequent. Second, that
the hypothetical statement is acceptable (true, reasonable) if the antecedent
statement, if made or accepted, would, in the circumstances, be a good ground
or reason for accepting the consequent statement. Third, the making of the
hypothetical statement carries the implication either of uncertainty about, or
of disbelief in, the fulfilment of both antecedent and consequent.’ This above
is the passage extrapolated by Grice. Grice does not care to report the
platitudionous ‘first’ ‘characteristic’ as Strawson rather verbosely puts it.
The way Grice reports it, it is not clear Strawson is listing THREE
characteristics. Notably, from the extrapolated quote, it would seem as if
Grice wishes his addressee to believe that Strawson thinks that characteristic
2 and characteristic 3 mix. On top, Grice omits a caveat immediately after the
passage he extrapolates. Strawso notes: “There is much more than this to be
said about this way of using ‘if;’ in particular, about the meaning of the
question whether the antecedent would be a GOOD ground or reason for accepting
the consequent, and about the exact way in which THIS question is related to
the question of whether the hypothetical is TRUE {acceptable, reasonable) or
not.’ Grice does not care to include a caveat by Strawson: “Not all uses of ‘if
,’ however, exhibit all these three characteristics.” In particular, there is a
use which has an equal claim to rank as standard ‘if’ and which is closely
connected with the use described, but which does not exhibit the first
characteristic and for which the description of the remainder must consequently
be modified. Strawson has in mind what
is sometimes called a ‘formal’ (by Whitehead and Russell) or 'variable' or
'general’ or ‘generic’ hypothetical. Strawson gives three examples. The first
example is ‘lf ice is left in the sun, it melts.’ This is Kantian. Cf. Grice on
indicative conditionals in the last Immanuel Kant Lecture. Grice: "It
should be, given that it is the case that one smears one's skin with peanut
butter before retiring and that it is the case that one has a relatively
insensitive skin, that it is the case that one preserves a youthful
complexion." More generally, there is some plausibility to the idea that
an exemplar of the form 'Should (! E, ⊢F;
! G)' is true just in case a corresponding examplar of the form 'Should (⊢ F, ⊢G; ⊢E)'
is true. Before proceeding further, I will attempt to deal briefly with a
possible objection which might be raised at this point. I can end imagine an
ardent descriptivist, who first complains, in the face of someone who wishes to
allow a legitimate autonomous status to practical acceptability
generalizations, that truth-conditions for such generalizations are not
available, and perhaps are in principle not available; so such generalizations
are not to be taken seriously. We then point out to him that, at least for a
class of such cases, truth-conditions are available, and that they are to be found
in related alethic generalizations, a kind of generalization he accepts. He
then complains that, if finding truth-conditions involves representing the
practical acceptability generalizations as being true just in case related
alethic generalizations are true, then practical acceptability generalizations
are simply reducible to alethic generalizations, and so are not to be taken
seriously for another reason, namely, that they are simply transformations of
alethic generalizations, and we could perfectly well get on without them. Maybe
some of you have heard some ardent descriptivists arguing in a style not so
very different from this. Now a deep reply to such an objection would involve
(I think) a display of the need for a system of reasoning in which the value to
be transmitted by acceptable inference is not truth but practical value,
together with a demonstration of the role of practical acceptability
generalizations in such a system. I suspect that such a reply could be
constructed, but I do not have it at my fingertips (or tongue-tip), so I shall
not try to produce it. An interim reply, however, might take the following
form: even though it may be true (which is by no means certain) that certain
practical acceptability generalizations have the same truth-conditions as
certain corresponding alethic generalizations, it is not to be supposed that
the former generalizations are simply reducible to the latter (in some
disrespectful sense of 'reducible'). For though both kinds of generalization are defeasible, they
are not defeasible in the same way; more exactly, what is a defeating condition
for a given practical generalization is not a defeating condition for its
alethic counterpart. A generalization of the form 'should (! E, ⊢F; ! G)' may have, as a defeating condition, 'E*'; that is
to say, consistently with the truth of this generalization, it may be true that
'should (! E & ! E*, ⊢F; ! G*)' where 'G*' is inconsistent with
'G'. But since, in the alethic counterpart generalization 'should (⊢ F, ⊢G; ⊢E)',
'E' does not occur in the antecedent, 'E*' cannot be a defeating end p.92
condition for this generalization. And, since liability to defeat by a certain
range of defeating conditions is essential to the role which acceptability
generalizations play in reasoning, this difference between a practical
generalization and its alethic counterpart is sufficient to eliminate the
reducibility of the former to the latter. To return to the main theme of this
section. If, without further ado, we were to accept at this point the
suggestion that 'should (! E, ⊢F; ! G)' is true just in case
'should (⊢ F, ⊢G;
⊢E)' is true, we should be accepting
it simply on the basis of intuition (including, of course, linguistic or
logical intuition under the head of 'intuition'). If the suggestion is correct
then we should attain, at the same time, a stronger assurance that it is
correct and a better theoretical understanding of the alethic and practical
acceptability, if we could show why it is correct by deriving it from some
general principle(s). Kant, in fact, for reasons not unlike these, sought to
show the validity of a different but fairly closely related Technical
Imperative by just such a method. The form which he selects is one which, in my
terms, would be represented by "It is fully acceptable, given let it be
that B, that let it be that A" or "It is necessary, given let it be
that B, that let it be that A". Applying this to the one fully stated
technical imperative given in Grundlegung, we get Kant’s hypothetical which is
of the type Strawson calls ‘variable,’ formal, ‘generic,’ or ‘generic.’ Kant: “It
is necessary, given let it be that one bisect a line on an unerring principle,
that let it be that I draw from its extremities two intersecting arcs". Call
this statement, (α). Though he does not express himself very clearly, I am
certain that his claim is that this imperative is validated in virtue of the
fact that it is, analytically, a consequence of an indicative statement which
is true and, in the present context, unproblematic, namely, the statement
vouched for by geometry, that if one bisects a line on an unerring principle,
then one does so only as a result of having drawn from its extremities two
intersecting arcs. Call this statement, (β). His argument seems to be
expressible as follows. (1) It is analytic that he who wills the end (so far as
reason decides his conduct), wills the indispensable means thereto. (2) So it
is analytic that (so far as one is rational) if one wills that A, and judges
that if A, then A as a result of B, then one wills that B. end p.93 (3) So it
is analytic that (so far as one is rational) if one judges that if A, then A as
a result of B, then if one wills that A then one wills that B. (4) So it is
analytic that, if it is true that if A, then A as a result of B, then if let it
be that A, then it must be that let it be that B. From which, by substitution,
we derive (5): it is analytic that if β then α. Now it seems to me to be
meritorious, on Kant's part, first that he saw a need to justify hypothetical imperatives
of this sort, which it is only too easy to take for granted, and second that he
invoked the principle that "he who wills the end, wills the means";
intuitively, this invocation seems right. Unfortunately, however, the step from
(3) to (4) seems open to dispute on two different counts. (1) It looks as if an
unwarranted 'must' has appeared in the consequent of the conditional which is
claimed, in (4), as analytic; the most that, to all appearances, could be
claimed as being true of the antecedent is that 'if let it be that A then let
it be that B'. (2) (Perhaps more serious.) It is by no means clear by what
right the psychological verbs 'judge' and 'will', which appear in (3), are
omitted in (4); how does an (alleged) analytic connection between (i) judging
that if A, A as a result of B and (ii) its being the case that if one wills
that A then one wills that B yield an analytic connection between (i) it's
being the case that if A, A as a result of B and (ii) the 'proposition' that if
let it be that A then let it be that B? Can the presence in (3) of the phrase
"in so far as one is rational" legitimize this step? I do not know
what remedy to propose for the first of these two difficulties; but I will
attempt a reconstruction of Kant's line of argument which might provide relief
from the second. It might, indeed, even be an expansion of Kant's actual
thinking; but whether or not this is so, I am a very long way from being
confident in its adequacy. Back to
Strawson. First example: ‘lf ice is left
in the sun, it melts.’Or “If apple goes up, apple goes down.” – Newton,
“Principia Mathematica.” “If ice is left in the sun, it, viz. ice, melts.” Strawson’s
second example of a formal, variable, generic, or general ‘if’ ‘If the side of
a triangle is produced, the exterior angle is equal to the sum of the two interior
and opposite angles.’ Cf. Kant: “If a line on
an unerring principle is bisected, two intersecting arcs are drawn from its
extremities.” Synthetical propositions must no doubt be employed in
defining the means to a proposed end; but they do not concern the principle,
the act of the will, but the object and its realization. E.g., that in order to
bisect a line on an unerring principle I must draw from its extremities two
intersecting arcs; this no doubt is taught by mathematics only in synthetical
propositions; but if I know that it is only by this process that the intended
operation can be performed, then to say that, if I fully will the operation, I
also will the action required for it, is an analytical proposition; for it is
one and the same thing to conceive something as an effect which I can produce
in a certain way, and to conceive myself as acting in this way. Strawson’s third example: ‘If a child is
very strictly disciplined in the nursery, it, viz. the child, that should be
seen but not heard, will develop aggressive tendencies in adult life.’ To a
statement made by the use of a sentence such as these there corresponds no
single pair of statements which are, respectively, its antecedent and consequent.
On the other hand, for every such
statement there is an indefinite number of NON-general, or not generic,
hypothetical statements which might be called exemplifications, applications,
of the variable hypothetical; e.g., a statement made by the use of the sentence
‘If THIS piece of ice is left in the sun, it, viz. this piece, melts.’Strawson,
about to finish his section on “ ‘⊃’ and ‘if’,” – the expression, ‘’ ⊃’ and ‘if’” only occurs
in the “Table of Contents,” on p. viii, not in the body of the essay, as found
redundant – it is also the same title Strawson used for his essay which
circulated (or ‘made the rounds’) soon after Grice delivered his attack on Strawson,
and which Strawson had, first, the cheek to present it to PGRICE, and then,
voiding the idea of a festschrift, reprint it in his own compilation of essays.
-- from which Grice extracted the quote for “Prolegomena,” notes that there are
two ‘relatively uncommon uses of ‘if.’‘If he felt embarrassed, he showed no
signs of it.’It is this example that Grice is having in mind in the fourth
lecture on ‘indicative conditionals.’ “he didn’t show it.”Grice is giving an
instantiation of an IMPLICIT, or as he prefers, ‘contextual,’ cancellation of
the implicaturum of ‘if.’ He does this
to show that even if the implicaturum of ‘if’ is a ‘generalised,’ not
‘generic,’ or ‘general,’ one, it need not obtain or be present in every
PARTICULAR case. “That is why I use the weakened form ‘generalISED, not
general. It’s all ceteris paribus always with me).” The example Grice gives
corresponds to the one Strawson listed as one of the two ‘relatively uncommon’
uses of ‘if.’ By sticking with the biscuit conditional, Grice is showing
Strawson that this use is ‘relatively uncommon’ because it is absolutely
otiose! “If he was surprised, he didn’t
show it.”Or cf. AustinIf you are hungry, there are. Variants by Grice on his
own example:“If Strawson was surprised, he did not show it.”“If he was
surprised, it is not the case that Strawson showed it, viz. that he was
surprised.”Grice (on the phone with Strawson’s friend) in front of Strawson –
present tense version:“If he IS surprised, it is not th case that he, Strawson,
is showing it, viz. the clause that he is surprised. Are you implicating he
SHOULD?”and a second group:‘If Rembrandt passes the exam at the Koninklijke Academie van Beeldende Kunsten, I am
a Dutchman.’‘If the Mad Hatter is not mad, I'll eat my hat.’(as opposed to ‘If
the Mad Hatter IS mad, I’ll eat HIS hat.’)Hats were made at Oxford in a
previous generation, by mad ‘hatters.’ “To eat one’s hat,” at Oxford, became
synonymous with ‘I’ll poison myself and die.’ The reason of the prevalence of
Oxonian ‘lunatic’ hatters is chemical. Strawson is referring to what he calls
an ‘old wives’ tale’As every grandmother at Oxford knows, the chemicals used in
hat-making include mercurious nitrate, which is used in ‘curing’ felt. Now exposure
to the mercury vapours cause mercury poisoning. Or, to use an ‘if’: “If Kant is
exposed to mercury vapour, Kant gets poisoned. A poisoned victim develops a severe and uncontrollable muscular
tremors and twitching limbs, distorted vision and confused speech,
hallucinations and psychosis, if not death. For a time, it was at Oxford
believed that a wearer of a hat could similarly die, especially by eating the
felt containing the mercurial nitrate. The sufficient and necessary condition
of the truth of a statement made by “If he was surprised, it is not the case
that Strawson showed it, viz. that he was surprised” is that it is not the case
that Strawson showed that he was surprised. The antecedent is otiose. Cf. “If
you are hungry, there are biscuits in the cupboard.’ Austin used to expand the
otiose antecedent further, ‘If you are hungry – AND EVEN IF YOU ARE NOT – there
are biscuits in the cupboard,” just in case someone was ignorant of Grice’s
principle of conversational helpfulness. Consequently, Strawson claims that such
a statement cannot be treated either as a standard hypothetical or as a
material implication. This is funny because by the time Grice is criticizing
Strawson he does take “If Strawson is surprised, it is not the case that he is
showing it, viz. that he is surprised.” But when it comes to “Touch the beast
and it will bite you” he is ready to say that here we do not have a case of
‘conjunction.’Why? Stanford.Stanford is the answer.Grice had prepared the text
to deliver at Stanford, of all places. Surely, AT STANFORD, you don’t want to
treat your addressee idiotically. What Grice means is:“Now let us consider
‘Touch the beast and it will bite you.’ Symbolise it: !p et !q. Turn it into
the indicative: You tell your love and love bites you (variant on William
Blake).” Grice: “One may object to the
use of ‘p.q’ on Whiteheadian grounds. Blue-collared practitioners of the
sciences will usually proclaim that they do not care about the ‘realisability’
of this or that operator. In fact, the very noun, ‘realisability,’ irritated me
so that I coined non-detachability as a balance. The blue-collared scientist
will say that ‘and’ is really Polish, and should be PRE-FIXED as an “if,” or
condition, or proviso. So that the conjunction becomes “Provided you tell your
love, love bites you.”Strawson gives his reason about the ‘implicaturum’ of
what P. L. Gardiner called the ‘dutchman’ ‘if,’ after G. F. Stout’s “
‘hat-eating’ if.” Examples of the second
kind are sometimes erroneously treated as evidence that Philo was not crazy,
and that ‘if’ does, after all, behave somewhat as ‘⊃’ behaves. Boethius appropriately comments: “Philo had
two drawbacks against his favour. He had no drawing board, and he couldn’t
write. Therefore he never symbolized, other than ‘via verba,’ his ‘ei’ utterance, “If it is day, it is night,”
which he held to be true “at night only.”” Strawson echoes Grice. The evidence
for this conversational explanation of the oddity of the ‘dutcham’ if, as
called by Gardiner, and the ‘hat-eating’ if, as called by Stout, is,
presumably, the facts, first, that the relation between antecedent and
consequent is non-Kantian. Recall that Kant has a ‘Funktion’ which, after
Aristotle’s ‘pros ti,’ and Boethius’s ‘relatio,’ he called ‘Relation’ where he
considers the HYPOTHETICAL. Kant expands in section 8.5. “In the hypothetical,
‘If God exists, I’ll eat my hat,’ existence is no predicate.”Strawson appeals
to a second, “more convincing,” fact, viz. that the consequent is obviously not
– in the Dutchman ‘if,’ or not to be, in the ‘hat-eating’ if, fulfilled, or true.Grice’s
passing for a Dutchman and sitting for an exam at the Koninklijke Academie van Beeldende Kunsten, hardly makes him a Dutchman.Dickens
was well aware of the idiocy of people blaming hatters for the increases of
deaths at Oxford. He would often expand the consequent in a way that turned it
“almost a Wittgensteinian ‘contradiction’” (“The Cricket in the House, vii). “If
the Hatter is not mad, I will eat my hat, with my head in it.”Grice comments:
“While it is analytic that you see with your eyes, it is not analytic that you
eat with your mouth. And one can imagine Dickens’s mouth to be situated in his
right hand. Therefore, on realizing that the mad hatter is not mad, Dickens is
allowing for it to be the case that he shall eat his hat, with his head in it.
Since not everybody may be aware of the position of Dickens’s mouth, I shall
not allot this common-ground status.”Strawson gives a third Griciean
fact.“The intention of the emissor, by uttering a ‘consequens falsum’ that
renders the ‘conditionalis’ ‘verum’ only if the ‘antecedens’ is ‘falsum, is an emphatic,
indeed, rude, gesture, with a gratuitious nod to Philo, to the conviction that
the antecedens is not fulfilled either. The emissor is further abiding by what
Grice calls the ‘principle of truth,’ for the emissor would rather see himself
dead than uttering a falsehood, even if he has to fill the conversational space
with idiocies like ‘dutchman-being’ and ‘hat-eating.’ The fourth Griceian fact
is obviously Modus Tollendo Tollens, viz. that “(p ⊃ q) . ~q” entails “~p,” or rather, to avoid the
metalanguage (Grice’s Bootlace: Don’t use a metalanguage: you can only
implicate that your object-language is not objectual.”), “[(p ⊃ q) . ~ q] ⊃ ~ p.”At this point,
Strawson reminisces: “I was slightly surprised that on my first tutorial with
Grice, he gave me “What the Tortoise Said To Achilles,” with the hint, which I
later took as a defeasible implicaturum, “See if you can resolve this!” ACHILLEs
had overtaken the Tortoise, and had seated himself comfortably on its back.
"So you've got to the end of our race-course?" said the Tortoise.
"Even though it does consist of an infinite series of distances ? I
thought some wiseacre or other had proved that the thing couldnl't be doiie ? "
" It can be done," said Achilles. " It has been done! Solvitur
ambulando. You see the distances were constaiitly diminishing; and so-"
"But if they had beenl constantly increasing?" the Tortoise
interrupted. "How then?" "Then I shouldn't be here,"
Achilles modestly replied; "and you would have got several times round the
world, by this time! " "You flatter me-flatten, I mean," said
the Tortoise; "for you are a heavy weight, and no mistake! Well now, would
you like to hear of a race-course, that most people fancy they can get to the
end of in two or three steps, while it really consists of an infinite number of
distances, each one longer than the previous one? " "Very much indeed
!" said the Grecian warrior, as he drew from his helmet (few Grecian
warriors possessed pockets in those days) an enormous note-book and a pencil.
"Proceed! And speak slowly, please! Shorthand isn't invented yet !"
"That beautiful First Proposition of Euclid! " the Tortoise miurmured
dreamily. "You admire Euclid?" "Passionately! So far, at least,
as one can admire a treatise that wo'n't be published for some centuries to
come ! " "Well, now, let's take a little bit of the argument in that
First Proposition-just two steps, and the conclusion drawn from them. Kindly
enter them in your note-book. And in order to refer to them conveniently, let's
call them A, B, and Z:- (A) Things that are equal to the same are equal to each
other. (B) The two sides of this Triangle are things that are equal to the
same. (Z) The two sides of this Triangle are equal to each other. Readers of
Euclid will grant, I suppose, that Z follows logically from A and B, so that
any one who accepts A and B as true, must accept Z as true?" "
Undoubtedly! The youngest child in a High School-as. soon as High Schools are
invented, which will not be till some two thousand years later-will grant
that." " And if some reader had not yet accepted A and B as true, he
might still accept the sequence as a valid one, I suppose?" NOTES. 279
"No doubt such a reader might exist. He might say 'I accept as true the
Hypothetical Proposition that, if A and B be true, Z must be true; but, I don't
accept A and B as true.' Such a reader would do wisely in abandoning Euclid,
and taking to football." " And might there not also be some reader
who would say ' I accept A anld B as true, but I don't accept the
Hypothetical'?" "Certainly there might. He, also, had better take to
football." "And neither of these readers," the Tortoise
continued, "is as yet under any logical necessity to accept Z as
true?" "Quite so," Achilles assented. "Well, now, I want
you to consider me as a reader of the second kind, and to force me, logically,
to accept Z as true." " A tortoise playing football would be--"
Achilles was beginning " -an anomaly, of course," the Tortoise
hastily interrupted. "Don't wander from the point. Let's have Z first, and
football afterwards !" " I'm to force you to accept Z, am I?"
Achilles said musingly. "And your present position is that you accept A
and B, but you don't accept the Hypothetical-" " Let's call it
C," said the Tortoise. "-but you don't accept (C) If A and B are
true, Z must be true." "That is my present position," said the
Tortoise. "Then I must ask you to accept C." - "I'll do
so," said the Tortoise, "as soon as you've entered it in that
note-book of yours. What else have you got in it?" " Only a few
memoranda," said Achilles, nervously fluttering the leaves: "a few
memoranda of-of the battles in which I have distinguished myself!"
"Plenty of blank leaves, I see !" the Tortoise cheerily remarked.
"We shall need them all !" (Achilles shuddered.) "Now write as I
dictate: (A) Things that are equal to the same are equal to each other. (B) The
two sides of this Triangle are things that are equal to the same. (C) If A and
B are true, Z must be true. (Z) The two sides of this Triangle are equal to
each other." " You should call it D, not Z," said Achilles.
" It comes next to the other three. If you accept A and B and C, you must
accept Z." "And why must I?" "Because it follows logically
from them. If A and B and C are true, Z must be true. You don't dispute that, I
imagine ?" "If A and B and C are true, Z must be true," the
Tortoise thoughtfully repeated. " That's another Hypothetical, isn't it?
And, if I failed to see its truth, I might accept A and B and C, and still not
accept Z, mightn't I?" "You might," the candid hero admitted;
"though such obtuseness would certainly be phenomenal. Still, the event is
possible. So I must ask you to grant one more Hypothetical." " Very
good. I'm quite willing to grant it, as soon as you've written it down. We will
call it (D) If A and B and C are true, Z must be true. Have you entered that in
your note-book ? " " I have! " Achilles joyfully exclaimed, as
he ran the pencil into its sheath. "And at last we've got to the end of
this ideal race-course! Now that you accept A and B and C and D, of course you
accept Z." " Do I ? " said the Tortoise innocently. " Let's
make that quite clear. I accept A and B and C and D. Suppose I still refused to
accept Z? " 280 NOTES. " Then Logic would take you by the throat, and
force you to do it !" Achilles triumphantly replied. "Logic would
tell you 'You ca'n't help yourself. Now that you've accepted A and B and C and
D, you mvust accept Z!' So you've no choice, you see." "Whatever
Logic is good enough to tell me is worth writing down," said the Tortoise.
" So enter it in your book, please. We will call it (E) If A and B and C
and Dare true, Zmust be true. Until I've granted that, of course I needn't
grant Z. So it's quite a necessary step, you see?" "I see," said
Achilles; and there was a touch of sadness in his tone. Here the narrator,
having pressing business at the Bank, was obliged to leave the happy pair, and
did not again pass the spot until some months afterwards. When he did so, Achilles
was still seated on the back of the much-enduring Tortoise, and was writing in
his note-book, which appeared to be nearly full. The Tortoise was saying "
Have you got that last step written down ? Unless I've lost count, that makes a
thousand and one. There are several millions more to come. And would you mind,
as a personal favour, considering what a lot of instruction this colloquy of
ours will provide for the Logicians of the Nineteenth Century-would you mnind
adopting a pun that my cousin the Mock-Turtle will then make, and allowing
yourself to be re-named Taught- Us ?" "As you please !" replied
the weary warrior, in the hollow tones of despair, as he buried his face in his
hands. " Provided that you, for your part, will adopt a pun the
Mock-Turtle never made, and allow yourself to be re-named A Kill-Ease !"Strawon
protests:“But this is a strange piece of logic.”Grice corrects: “Piece – you
mean ‘piece’ simpliciter.”“But what do you protest that much!?”“Well, it seems
that, on any possible interpretation, “if p, q” has, in respect of modus
tollendo tollens the same powers as ‘p ⊃ q.’“And it is just these powers that you, and Cook Wilson before you,
are jokingly (or fantastically) exploiting!”“Fantastically?” “You call Cook
Wilson ‘fantastical’? You can call me exploitative.’Strawson: “It is the
absence of Kantian ‘Relation,’ Boethius’s ‘relatio,’ Aristotle’s ‘pros ti,’
referred to in that makes both Stout’s hat-eating if and Gardiner’s dutchman if
quirks (as per Sir Randolph Quirk, another Manx, like Quine), a verbal or
conversational flourish, an otiosity, alla Albritton, an odd, call it
Philonian, use of ‘if.’ If a hypothetical statement IS, as Grice, after Philo,
claims, is what Whitehead and Russell have as a ‘material’ implication, the
statements would be not a quirkish oddity, but a linguistic sobriety and a
simple truth. Or rather they are each, the dutchman if and the hat-eating if, each a ‘quirkish
oddity’ BECAUSE each is a simple, sober, truth. “Recall my adage,” Grice
reminded Strawson, “Obscurely baffling, but Hegelianly true!”Strawson notes, as
a final commentary on the relevant section, that ‘if’ can be employed PERFORMATORILY, which will
have Grice finding his topic for the Kant lectures at Stanford: “must” is
univocal in “Apples must fall,” and “You must not lie.”An ‘if’ is used
‘performatorily’ when it is used not simply in making this or that statement,
but in, e.g., making a provisional announcement of an intention. Strawson’s
example:“If it rains, I shall stay at home.”Grice corrected:“*I* *will* stay at
home. *YOU* *shall.*”“His quadruple implicatura never ceased to amaze me.”Grice
will take this up later in ‘Ifs and cans.’“If I can, I intend to climb Mt
Everest on hands and knees, if I may disimplicate that to Davidson.”This hich,
like an unconditional announcement of intention, Strawson “would rather not”
call ‘truly true’ or ‘falsely false.’ “I would rather describe it in some other
way – Griceian perhaps.” “A quessertion, not to be iterated.”“If the man who
utters the quoted sentence leaves home in spite of the rain, we do not say that
what he said was false, though we might say that he lied (never really intended
to stay in) ; or that he changed his mind – which, Strawson adds, “is a form of
lying to your former self.” “I agreed with you!” Grice screamed from the other
side of the Quadrangle!Strawson notes: “There are further uses of ‘if’ which I
shall not discuss.”This is a pantomime for Austin (Strawson’s letter to Grice,
“Austin wants me to go through the dictionary with ‘if.’ Can you believe it,
Grice, that the OED has NINE big pages on it?! And the sad thing is that Austin
has already did ‘if’ in “Ifs and cans.” Why is he always telling OTHERS what to
do?”Strawson’s Q. E. D.: “The safest way to read the material implication sign
is, perhaps, ‘not both … and not …,” and avoid the ‘doubt’ altogether. (NB:
“Mr. H. P. Grice, from whom I never ceased to learn about logic since he was my
tutor for my Logic paper in my PPE at St. John’s back in the day, illustrates
me that ‘if’ in Frisian means ‘doubt.’ And he adds, “Bread, butter, green
cheese; very good English, very good Friese!”. GROUP C – “Performatory”
theories – descriptive, quasi-descriptive, prescriptive – examples not
lettered.EXAMPLE I: Strawson on ‘true’ in Analysis.EXAMPLE II: Austin on ‘know’
EXAMPLE III: Hare on ‘good.’EXPLICITLY CONVEYED: if p, qIMPLICITLY CONVEYED: p
is the consequensCANCELLATION: “I know perfectly well where your wife is, but
all I’ll say is that if she is not in kitchen she is in the bedroom.”Next would
be to consider uses of ‘implication’ in the essay on the ‘indicative conditional.’
We should remember that the titling came out in 1987. The lecture circulated
without a title for twenty years. And in fact, it is about ‘indicative
conditional’ AND MORE BESIDES, including Cook Wilson, if that’s a plus. Grice
states the indirectness condition in two terms:One in the obviously false terms
“q is INFERRABLE, that’s the word Grice uses, from p”The other one is in terms
of truth-value assignment:The emissor has NON-TRUTH-FUNCTIONAL GROUNDS for the
emissum, ‘if p, q’. In Grice’s parlance: “Grounds for ACCEPTING “p ⊃ q.”This way Grice
chooses is controversial in that usually he holds ‘accept’ as followed by the
‘that’-clause. So ‘accepting ‘p ⊃ q’” is not clear in that respect. A rephrase would be,
accepting that the emissor is in a position to emit, ‘if p, q’ provided that
what he EXPLICITLY CONVEYS by that is what is explicitly conveyed by the
Philonian ‘if,’ in other words, that the emissor is explicitly conveying that
it is the case of p or it is not the case of q, or that it is not the case that
a situation obtains such that it is the case that p and it is not the case that
q.“p ⊃ q”
is F only in the third row. It is no wonder that Grice says that the use-mention
was only used correctly ONCE.For Grice freely uses ‘the proposition that p ⊃ q.’ But this may be
licensed because it was meant as for ‘oral delivery.’ THE FIRST INSTANTIATION
GRICE GIVES (WoW:58) is“If Smith is in London, he, viz. Smith, is attending the
meeting.”Grice goes on (WoW:59) to give FIVE alternatives to the ‘if’
utterance, NOT using ‘if.’ For the first four, he notes that he fells the ‘implicaturum’
of ‘indirectness’ seems ‘persistent.’On WoW:59, Grice refers to Strawson as a
‘strong theorist,’ and himself as a ‘weak theorist,’ i. e. an Occamist. Grice
gives a truth-table or the ‘appropriate truth table,’ and its formulation, and
notes that he can still detect the indirectness condition implication. Grice
challenges Strawson. How is one to learn that what one conveys by the scenario
formulated in the truth-table for the pair “Smith is in London” and “Smith is
attending the meeting” – without using ‘if’ because this is Grice’s exercise in
detachment – is WEAKER than what one would convey by “If Smith is in London,
he, viz. Smith, is attending the meeting”?This sort of rhetorical questions –
“Of course he can’t” are a bit insidious. Grice failed to give Strawson a copy
of the thing. And Strawson is then invited to collaborate with P. G. R. I. C.
E., so he submits a rather vague “If and ⊃,” getting the rebuke by Grice’s friend Bennett –
“Strawson could at least say that Grice’s views were published in three
different loci.” BUT: Strawson compiled that essay in 1968. And Strawson was
NOT relying on a specific essay by Grice, but on his memory of the general
manoeuvre. Grice had been lecturing on ‘if’ before at Oxford, in seminars
entitled “Logic and Convesation.” But surely at Oxford you are not supposed to
‘air’ your seminar views. Outside Oxford it might be different. It shoud not!And
surely knowing Grice, why would *GRICE* provide the input to Strawson. For
Grice, philosophy is very personal, and while Grice might have thought that Sir
Peter was slightly interested in what his former tutor would say about ‘if,’ it
would be inappropriate of the tutor to overwhelm the tutee, or keep informing
the tutee how wrong he is. For a tutor, once a tutee, always a tutee. On
WoW:59, Grice provides the FIRST CANCELLATION of an ‘if,’ and changes it
slightly from the one on p. 58. The ‘if’ now becomesIf Smith is in the library,
he, viz. Smith, is working.’In Wiltshire:“If Smith is in the swimming-pool
library, he, viz. Smith, is swimming.”THE CANCELLATION GOES by ‘opting out’:“I
know just where Smith is and what he, viz. Smith, is doing, but all I will tell
you is that if he is in the library he is working.”Grice had to keep adding his
‘vizes’ – viz. Smith – because of the insidious contextualists – some of them
philosophical!“What do you mean ‘he,’ – are you sure you are keeping the
denotatum constant?”Grice is challenging Strawson’s ‘uncertainty and
disbelief.’No one would be surprised if Grice’s basis for his saying “I know
just where Smith is and what he, viz. Smith, is doing, but all I will tell you
is that if he is in the library, he is working” is that Grice has just looked
in the library and found Smith working. So, Grice IS uttering “If Smith is in
the library, he is working” WHEN THE INDIRECT (strong) condition
ceteris-paribus carried by what Grice ceteris paribus IMPLIES by uttering “If
Smith is in the library, Smith is working.”The situation is a bit of the blue,
because Grice presents it on purpose as UNVOLUNTEERED. The ‘communication-function’
does the trick. GRICE THEN GIVES (between pages WoW: 59 and 60) TWO IMPLICIT
cancellations of an implicaturum, or, to avoid the alliteration, ‘contextual’
cancellation. Note incidentally that Grice is aware of the explicit/implicit
when he calls the cancellation, first, EXPLICIT, and then contextual. By
‘explicit,’ he means, ‘conveying explicitly’ in a way that commits you. THE THIRD
INSTANTIATION refers to this in what he calls a ‘logical’ puzzle, which may be
a bit question-begging, cf. ‘appropriate truth-table.’ For Strawson would say
that Grice is using ‘if’ as a conscript, when it’s a civil. “If Smith has
black, Mrs. Smith has black.”Grice refers to ‘truth-table definition’ OR
STIPULATION. Note that the horseshoe is an inverted “C” for ‘contentum.’F.
Cajori, “A history of mathematical notations,” SYMBOLS IN MATHEMATICAL LOGIC,
§667-on : [§674] “A theory of the ‘meccanisme du raisonnement’ is offered by J.
D. Gergonne in his “Essai de dialectique rationnelle.”In Gergonne’s “Essai,”
“H” stands for complete logical disjunction, X” for logical product, “I” for
"identity," [cf. Grize on izzing] “C” for "contains," and
"Ɔ (inverted C)" for "is contained in." [§685] Gergonne is using the Latinate,
contineoIn rhet., the neuter substantive “contĭnens” is rendered as
“that on which something rests or depends, the chief point, hinge: “causae,” Cic. Part. Or. 29, 103; id. Top. 25, 95: “intuendum videtur, quid sit quaestio, ratio, judicatio, continens, vel ut alii vocant, firmamentum,” Quint. 3, 11, 1; cf. id. ib. § 18 sqq.—Adv.: contĭnen-ter . So it is a natural evolution in matters of
implication. while Giusberti (“Materiale per studio,” 31) always reads “pro
constanti,” the MSS occasionally has the pretty Griciean “precontenti,” from
“prae” and “contenti.” Cf. Quine, “If my father was a bachelor, he was male.
And I can say that, because ‘male’ is CONTAINED in ‘bachelor.’”E. Schröder, in his
“Vorlesungen über die Algebra der Logik,” [§690] Leipzig, uses “⊂” for "untergeordnet”, roughly, “is included in,” and
the inverted “⊃” for
the passive voice, "übergeordnet,” or includes. Some additional symbols are introduced by
Peano into Number 2 of Volume II of his influential “Formulaire.” Thus "ɔ"
becomes ⊃. By
“p.⊃ x
... z. q” is expressed “from p one DEDUCES, whatever x ... z may be, and
q." In “Il calcolo geometrico,” – “according
to the Ausdehnungslehre of H. Grassmann, preceded by the operations of
deductive logic,” Peano stresses the duality of interpretations of “p.⊃ x ... z. q” in terms of
classes and propositions. “We shall indicate [the universal affirmative
proposition] by the expression A < B,
or B > A, which can be read
"every A is a B," or "the class B CONTAINS A." [...] Hence, if a,b,... are CONDITIONAL propositions,
we have: a < b, or b > a, ‘says’ that
"the class defined by the condition a is part of that defined by b,"
or [...] "b is a CONSEQUENCE of a," "if a is true, b is
true." In Peano’s “Arithmetices principia:
nova methodo exposita,” we have: “II.
Propositions.” “The sign “C” means is a consequence of [“est consequentia.” Thus
b C a is read b is a consequence of the proposition a.” “The sign “Ɔ” means one
deduces [DEDUCITUR]; thus “a Ɔ b” ‘means’ the same as b C a. [...] IV. Classes “The sign Ɔ ‘means’ is contained
in. Thus a Ɔ b means class a is contained in class b. a, b ∈ K Ɔ (a Ɔ b) :=: (x)(x ∈ a Ɔ x ∈ b). In his
“Formulaire,” Peano writes: “Soient a et
b des Cls. a ⊃ b
signifie "tout a est b".
Soient p et q des propositions contenant une variable x; p ⊃x q, signifie "de p
on déduit, quel que soit x, la q", c'est-à-dire: "les x qui satisfont
à la condition p satisferont aussi à la q". Russell criticizes Peano’s dualism in “The
Principles of mathematics,” §13. “The subject of Symbolic Logic consists of
three parts, the calculus of propositions, the calculus of classes and the
calculus of relations. Between the first two, there is, within limits, a
certain parallelism, which arises as follows: In any symbolic expression, the
letters may be interpreted as classes or as propositions, and the relation of
inclusion in the one case may be replaced by that of formal implication in the
other. A great deal has been made of
this duality, and in the later editions of his “Formulaire,” Peano appears to
have sacrificed logical precision to its preservation. But, as a matter of
fact, there are many ways in which the calculus of propositions differs from
that of classes.” Whiehead and Russell borrow the basic logical symbolism from
Peano, but they freed it from the "dual" interpretation. Thus, Whitehead and Russell adopt Schröder's ⊂ for class inclusion: a ⊂ b :=: (x)(x ∈ a Ɔ x ∈ b) Df. and
restricted the use of the "horseshoe" ⊃ to the connective "if’: “p⊃q.’ Whitehead’s and
Russell’s decision isobvious, if we consider the following example from Cesare
Burali-Forti, “Logica Matematica,” a Ɔ b . b Ɔ c : Ɔ : a Ɔ c [...] The first, second and fourth [occurrences] of
the sign Ɔ mean is contained, the third one means one deduces.So the horseshoe
is actually an inverted “C” meant to read “contentum” or “consequens”
(“consequutum”). Active Nominal Forms Infinitive: implicā́re Present
participle: implicāns; implicántis Future participle: implicītúrus; implicātúrus
Gerund: implicándum Gerundive: implicándus
Passive Nominal Forms Infinitive: implicā́re Perfect participle:
implicī́tum; implicā́tumGRICE’s second implicit or contextual cancellation does
not involve a ‘logical puzzle’ but bridge – and it’s his fourth instantiation:“If
I have a red king, I also have a black king.” – to announce to your
competititve opponents upon inquiry a bid of five no trumps. Cf. Alice, “The
red Queen” which is a chess queen, as opposed to the white queen. After a
precis, he gives a FIFTH instantiation to prove that ‘if’ is always EXPLICITLY
cancellable.WoW:60“If you put that bit of sugar in water, it will dissolve,
though so far as I know there can be no way of knowing in advance that this
will happen.”This is complex. The cancellation turns the ‘if p, q’ into a
‘guess,’ in which case it is odd that the emissor would be guessing and yet be
being so fortunate as to make such a good guess. At the end of page 60, Grice
gives THREE FURTHER instantations which are both of philosophical importance
and a pose a problem to such a strong theorist as Strawson.The first of the
trio is:“If the Australians win the first Test, they will win the series, you
mark my words.”The second of the trio is:“Perhaps if he comes, he will be in a
good mood.”The third in the trio is:“See that, if he comes, he gets his money.”Grice’s
point is that in the three, the implicaturum is cancelled. So the strong
theorist has to modify the thesis ‘a sub-primary case of a sub-primary use of
‘if’ is…” which seems like a heavy penalty for the strong theorist. For Grice,
the strong theorist is attaching the implicaturum to the ‘meaning’ of ‘if,’
where, if attached at all, should attach to some mode-marker, such as
‘probably,’ which may be contextual. On p. 61 he is finding play and using
‘logically weaker’ for the first time, i. e. in terms of entailment. If it is
logically weaker, it is less informative. “To deny that p, or to assert that
q.”Grice notes it’s ceteris paribus.“Provided it would be worth contributing
with the ‘more informative’ move (“why deny p? Why assert q?) While the
presumption that one is interested in the truth-values of at least p or q, this
is ceteris paribus. A philosopher may just be interested in “if p, q” for the
sake of exploring the range of the relation between p and q, or the powers of p
and q. On p. 62 he uses the phrase “non-truth functional” as applied not to
grounds but to ‘evidence’: “non-truth-functional evidence.”Grice wants to say
that emissor has implicated, in a cancellable way, that he has
non-truth-functional evidence for “if p, q,” i. e. evidence that proceeds by
his inability to utter “if p, q” on truth-functional grounds. The emissor is
signaling that he is uttering “if p, q” because he cannot deny p, or that he
cannot assert q(p ⊃ q) ≡ ((~p) v q)Back to the first instantiation“If
Smith is in London, he, viz. Smith is attending the meeting there, viz. in
London”I IMPLICATE, in a cancellable way, that I have no evidence for “Smith is
not in London”I IMPLICATE, in a cancellable way, that I have no evidence for
“Smith is attending the lecture.On p. 61 he gives an example of an contextual
cancellation to show that even if the implicaturum is a generalised one, it
need not be present in every PARTICULAR case (hence the weakned form
‘generalISED, not general). “If he was surprised, he didn’t show it.”Or cf.
AustinIf you are hungry, there are biscuits in the cupboard. Traditionalist
Grice on the tranquil Elysium of philosophyĒlysĭum , ii, n., = Ἠλύσιον, the
abode of the blest, I.Elysium, Verg. A. 5, 735 Serv.; 6, 542; 744 al.; cf.
Heyne Verg. A. 6, 675 sq.; and ejusd. libri Exc. VIII. p. 1019 Wagn.—Hence, II.
Ēlysĭus , a, um, adj., Elysian: “campi,” Verg. G. 1, 38; Tib. 1, 3, 58; Ov. Ib.
175; cf. “ager,” Mart. 10, 101: “plagae,” id. 6, 58: “domus,” Ov. M. 14, 111;
cf. “sedes,” Luc. 3, 12: “Chaos,” Stat. Th. 4, 520: “rosae,” Prop. 4 (5), 7,
60. “puella,” i. e. Proserpine, Mart. 10, 24.—On p. 63, Grice uses ‘sense’ for
the first time to apply to a Philonian ‘if p, q.’He is exploring that what
Strawson would have as a ‘natural’ if, not an artificial ‘if’ like Philo’s, may
have a sense that descends from the sense of the Philonian ‘if,’ as in Darwin’s
descent of man. Grice then explores the ‘then’ in some formulations, ‘if p,
then q’, and notes that Philo never used it, “ei” simpliciter – or the Romans,
“si.”Grice plays with the otiosity of “if p, in that case q.”And then there’s
one that Grice dismisses as ultra-otiose:“if p, then, in that case, viz. p.,
q.”Grice then explores ‘truth-functional’ now applied not to ‘evidence’ but to
‘confirmation.’“p or q” is said to be truth-functionally confirmable.While “p
horseshoe q’ is of course truth-functionally confirmable.Grice has doubts that
‘if p, q’ may be regarded by Strawson as NOT being ‘truth-functionally
confirmable.’ If would involve what he previously called a ‘metaphysical
excrescence.’Grice then reverts to his bridge example“If I have a red king, I
have a black king.”And provides three scenarios for a post-mortem truth-functional
confirmability.For each of the three rowsNo red, no blackRed, no blackRed,
blackWhich goes ditto for the ‘logical’
puzzleIf Jones has black, Mrs. Jones has black. The next crop of instantiations
come from PM, and begins on p. 64.He kept revising these notes. And by the time
he was submitting the essay to the publisher, he gives up and kept the last
(but not least, never latter) version. Grice uses the second-floor ‘disagree,’
and not an explicit ‘not.’ So is partially agreeing a form of disagreeing? In
1970, Conservative Heath won to Labour Wilson.He uses ‘validate’ – for
‘confirm’. ‘p v q’ is validated iff proved factually satisfactory.On p. 66 he
expands“if p, q”as a triple disjunction of the three rows when ‘if p, q’ is
true:“(not-p and not-q) or (not-p and q) or (p and q)”The only left out is “(p
and not-q).”Grice gives an instantiation for [p et]q“The innings closed at
3:15, Smith no batting.”as opposed to“The inning close at 3:15, and Smith did
not bat.”as displayed byp.qAfter using ‘or’ for elections he gives the first
instantation with ‘if’:“If Wilson will not be prime minister, it will be
Heath.”“If Wilson loses, he loses to Heath.”‘if’ is noncommutative – the only
noncommutative of the three dyadic truth-functors he considers (‘and,’ ‘or’ and
‘if’).This means that there is a ‘semantic’ emphasis here.There is a
distinction between ‘p’ and ‘q’. In the case of ‘and’ and ‘or’ there is not,
since ‘p and q’ iff ‘q and p’ and ‘p or q’ iff ‘q or p.’The distinction is
expressed in terms of truth-sufficiency and false-sufficiency.The antecedent or
protasis, ‘p’ is FALSE-SUFFICIENT for the TRUTH of ‘if p, q.’The apodosis is
TRUE-sufficient for the truth of ‘if p, q.’On p. 67 he raises three questions.FIRST
QUESTIONHe is trying to see ‘if’ as simpler:The three instantiations areIf
Smith rings, the butler will let Smith inIt is not the case that Smith rings,
or the butler will let Smith in.It is not the case both Smith rings and it is
not the the butler will let Smith in. (Grice changes the tense, since the
apodosis sometimes requires the future tense) (“Either Smith WILL RING…”)SECOND
QUESTIONWhy did the Anglo-Saxons feel the need for ‘if’ – German ‘ob’? After
all, if Whitehead and Russell are right, the Anglo-Saxons could have done with
‘not’ and ‘and,’ or indeed with ‘incompatible.’The reason is that ‘if’ is
cognate with ‘doubt,’ but The Anglo-Saxons left the doubt across the North Sea. it originally from an oblique case of the
substantive which may be rendered as "doubt,” and cognate with archaic
German “iba,”
which may be rendered as “condition, stipulation, doubt," Old Norse if "doubt,
hesitation," modern Swedish jäf "exception,
challenge")It’s all different with ‘ei’ and ‘si.’For sisī (orig. and ante-class. form seī ),I.conj. [from a pronominal stem =
Gr. ἑ; Sanscr. sva-, self; cf. Corss. Ausspr. 1, 778; Georg Curtius Gr. Etym. 396],
a conditional particle, if.As for “ei”εἰ , Att.-Ion. and Arc. (for εἰκ, v. infr. 11 ad init.), = Dor. and Aeol. αἰ, αἰκ (q. v.), Cypr.A.“ἤ” Inscr.Cypr.135.10 H., both εἰ and αἰ in Ep.:— Particle used interjectionally with
imper. and to express a wish, but usu. either in conditions, if, or in indirect questions, whether. In the former use its
regular negative is μή; in the latter, οὐ.THIRD QUESTION. Forgetting Grecian neutral apodosis
and protasis, why did the Romans think that while ‘antecedens’ is a good
Humeian rendition of ‘protasis,’ yet instead they chose for the Grecian Humeian
‘apodosis,’ the not necessarily Humeian ‘con-sequens,’ rather than mere
‘post-sequens’?The Latin terminology is antecedens and consequens, the ancestors and ...
tothem the way the Greek grammatical
termsή πρότασιs and ήαπόδοσιsBRADWARDINE: Note that a consequence is an
argumentation made up of an antecedent and a consequent. He starts with the
métiers.For ‘or’ he speaks of ‘semiotic economy’ (p. 69). Grice’s
Unitarianism – unitary particle.If, like iff, is subordinating, but only if is
non-commutative. Gazdar considers how many dyadic particles are possible and
why such a small bunch is chosen. Grice did not even care, as Strawson did, to take
care of ‘if and only if.’ Grice tells us the history behind the ‘nursery rhyme’
about Cock Robin. He learned it from his mother, Mabel Fenton, at Harborne.
Clifton almost made it forget it! But he recovered in the New World, after
reading from Colin Sharp that many of those nursery rhymes travelled “with the
Mayflower.” "Who Killed Cock Robin" is an English nursery rhyme,
which has been much used as a murder archetype[citation needed] in world
culture. It has a Roud Folk Song Index number of 494. Contents 1Lyrics 2Origin and meaning 3Notes 4
External links Lyrics[edit] The earliest record of the rhyme is in Tommy
Thumb's Pretty Song Book, published c. 1744, which noted only the first four
verses. The extended version given below was not printed until c. 1770.[1] Who killed Cock Robin? I, said the Sparrow,
with my bow and arrow, I killed Cock Robin. Who saw him die? I, said the Fly,
with my little eye, I saw him die. Who caught his blood? I, said the Fish, with
my little dish, I caught his blood. Who'll make the shroud? I, said the Beetle,
with my thread and needle, I'll make the shroud. Who'll dig his grave? I, said
the Owl, with my little trowel, I'll dig his grave. Who'll be the parson? I,
said the Rook, with my little book, I'll be the parson. Who'll be the clerk? I,
said the Lark, if it's not in the dark, I'll be the clerk. Who'll carry the
link? I, said the Linnet, I'll fetch it in a minute, I'll carry the link.
Who'll be chief mourner? I, said the Dove, I mourn for my love, I'll be chief
mourner. Who'll carry the coffin? I, said the Kite, if it's not through the
night, I'll carry the coffin. Who'll bear the pall? We, said the Wren, both the
cock and the hen, We'll bear the pall. Who'll sing a psalm? I, said the Thrush,
as she sat on a bush, I'll sing a psalm. Who'll toll the bell? I, said the
Bull, because I can pull, I'll toll the bell. All the birds of the air fell
a-sighing and a-sobbing, when they heard the bell toll for poor Cock Robin. The
rhyme has often been reprinted with illustrations, as suitable reading material
for small children.[citation needed] The rhyme also has an alternative ending,
in which the sparrow who killed Cock Robin is hanged for his crime.[2] Several
early versions picture a stocky, strong-billed bullfinch tolling the bell,
which may have been the original intention of the rhyme.[3] Origin and meaning[edit] Although the song
was not recorded until the mid-eighteenth century,[4] there is some evidence
that it is much older. The death of a robin by an arrow is depicted in a
15th-century stained glass window at Buckland Rectory, Gloucestershire,[5] and
the rhyme is similar to a story, Phyllyp Sparowe, written by John Skelton about
1508.[1] The use of the rhyme 'owl' with 'shovel', could suggest that it was
originally used in older middle English pronunciation.[1] Versions of the story
appear to exist in other countries, including Germany.[1] A number of the stories have been advanced to
explain the meaning of the rhyme: The
rhyme records a mythological event, such as the death of the god Balder from
Norse mythology,[1] or the ritual sacrifice of a king figure, as proposed by
early folklorists as in the 'Cutty Wren' theory of a 'pagan survival'.[6][7] It
is a parody of the death of King William II, who was killed by an arrow while
hunting in the New Forest (Hampshire) in 1100, and who was known as William
Rufus, meaning "red".[8] The rhyme is connected with the fall of
Robert Walpole's government in 1742, since Robin is a diminutive form of Robert
and the first printing is close to the time of the events mentioned.[1] All of
these theories are based on perceived similarities in the text to legendary or
historical events, or on the similarities of names. Peter Opie pointed out that
an existing rhyme could have been adapted to fit the circumstances of political
events in the eighteenth century.[1] The
theme of Cock Robin's death as well as the poem's distinctive cadence have
become archetypes, much used in literary fiction and other works of art, from
poems, to murder mysteries, to cartoons.[1]
Notes[edit] ^ Jump up to:a b c d e f g h I. Opie and P. Opie, The Oxford
Dictionary of Nursery Rhymes (Oxford University Press, 1951, 2nd edn., 1997),
pp. 130–3. ^ * Cock Robin at Project Gutenberg ^ M. C. Maloney, ed., English
illustrated books for children: a descriptive companion to a selection from the
Osborne Collection (Bodley Head, 1981), p. 31. ^ Lockwood, W. B. "The
Marriage of the Robin and the Wren." Folklore 100.2 (1989): 237–239. ^ The
gentry house that became the old rectory at Buckland has an impressive timbered
hall that dates from the fifteenth century with two lights of contemporary
stained glass in the west wall with the rebus of William Grafton and arms of
Gloucester Abbey in one and the rising sun of Edward IV in the other light;
birds in various attitudes hold scrolls "In Nomine Jesu"; none is
reported transfixed by an arrow in Anthony Emery, Greater Medieval Houses of
England and Wales, 1300–1500: Southern England, s.v. "Buckland Old
Rectory, Gloucestershire", (Cambridge University Press, 2006), p. 80. ^ R.
J. Stewart, Where is St. George? Pagan Imagery in English Folksong (1976). ^ B.
Forbes, Make Merry in Step and Song: A Seasonal Treasury of Music, Mummer's
Plays & Celebrations in the English Folk Tradition (Llewellyn Worldwide,
2009), p. 5. ^ J. Harrowven, The origins of rhymes, songs and sayings (Kaye
& Ward, 1977), p. 92. External links[edit] Children's literature portal
Death and Burial of Poor Cock Robin, by H. L. Stephens, from Project Gutenberg
Death and Burial of Poor Cock Robin From the Collections at the Library of
Congress Categories: Robert Walpole1744 songsFictional passerine birdsEnglish
nursery rhymesSongwriter unknownEnglish folk songsEnglish children's
songsTraditional children's songsSongs about birdsSongs about deathMurder
balladsThe train from Oakland to Berkeley.Grice's aunt once visited him, and he
picked her up at the Oakland Railway Station. On p. 74, Grice in terms of
his aunt, mentions for the first time ‘premise’ and ‘conclusion.’On same p. for
the record he uses ‘quality’ for affirmative, negative or infinite. On p. 74 he
uses for the first time, with a point, the expression ‘conditional’ as attached
to ‘if.’Oddly on the first line of p. 75, he uses ‘material conditional,’ which
almost nobody does – except for a blue-collared practitioner of the sciences.
‘Material’ was first introduced by blue-collared Whitehead and Russell,
practictioners of the sciences. They used ‘material’ as applied to
‘implication,’ to distinguish it, oddly, and unclassily, from ‘formal’
implication. It is only then he quotes Wilson verbatim in quotes“The question
whether so and so is a case of a question whether such and such” This actually
influenced Collingwood, and Grice is trying to tutor Strawson here once more!For the logic of question and answer has roots in the very philosophy that
it was ... is John Cook Wilson, whose Statement and Inference can be regarded as
the STATEMENT AND ITS RELATION TO THINKING AND APREHENSIOTHE DISTINCTION
OF SUBJECT AND PREDICATE IN LOGIC AND GRAMMAR The influence of Strawson on Cook
Wilson.“The building is the Bodleian.”As answer to“What is that
building?”“Which building is the Bodleian”If the proposition is answer to first
question, ‘that building’ is the subject, if the proposition is answer to
second question, ‘the bodleian’ is the subject. Cf. “The exhibition was not
visited by a bald king – of France, as it doesn’t happen.SUBJECT AS
TOPICPREDICATE AS COMMENT.Cf. Grice, “The dog is a shaggy thig”What is
shaggy?What is the dog?THIS DOG – Subject – TopicTHAT SHAGGY THING – Subject –
occasionally, but usually Predicate, Comment.In fact, Wilson bases on StoutI am
hungryWho is hungry?: subject IIs there anything amiss with you? ‘hungry’ is
the subjectAre you really hungry? ‘am’ is the subject.Grice used to be a
neo-Stoutian before he turned a neo-Prichardian so he knew. But perhaps Grice
thought better of Cook Wilson. More of a philosopher. Stout seemed to have been
seen as a blue-collared practioner of the SCIENCE of psychology, not philosophical
psychology! Cf. Leicester-born B. Mayo, e: Magdalen, Lit. Hum. (Philosophy)
under? on ‘if’ and Cook Wilson in Analysis.Other example by Wilson:“Glass is
elastic.”Grice is motivated to defend Cook Wilson because Chomsky was
criticizing him (via a student who had been at Oxford). [S]uppose
instruction was being given in the properties of glass, and the instructor said
‘glass is elastic’, it would be natural to say that what was being talkedabout
and thought about was ‘glass’, and that what was said of it was that it was
elastic. Thus glass would be the subject and that it is elastic would be the
predicate. (Cook Wilson 1926/1969, Vol. 1:117f.) What Cook Wilson discusses
here is a categorical sentence. The next two quotes are concerned with an
identificational sentence. [I]n the statement ‘glass is elastic’, if the matter
of inquiry was elasticity and the question was what substances possessed the
property of elasticity, glass, in accordance with the principle of the
definition, would no longer be subject, and the kind of stress which fell upon
‘elastic’ when glass was the subject, would now be transferred to ‘glass’. [. .
.] Thus the same form of words should be analyzed differently according as the
words are the answer to one question or another. (Cook Wilson 1926/1969, Vol.
1:119f.) When the stress falls upon ‘glass’, in ‘glass is elastic’, there is no
word in the sentence which denotes the actual subject elasticity; the word
‘elastic’ refers to what is already known of the subject, and glass, which has
the stress, is the only word which refers to the supposed new fact in the
nature of elasticity, that it is found in glass. Thus, according to the
proposed formula, ‘glass’ would have to be the predicate. [. . .] Introduction
and overview But the ordinary analysis would never admit that ‘glass’ was the
predicate in the given sentence and elasticity the subject. (Cook Wilson
1926/1969, Vol. 1:121)H. P. Grice knew that P. F. Strawson knew of J. C.
Wilson on “That building is the
Bodleian” via Sellars’s criticism.There is a strong
suggestion in Sellars' paper that I would have done
better if I had stuck to Cook Wilson. This suggestion I want equally strongly
to repudiate. Certainly Cook Wilson draws
attention to an interesting difference in ways in which items
may appear in discourse. It may be roughly expressed as follows.
When we say Glass is elastic we may be talking about glass or we
may be talking about elasticity (and we may, in the relevant sense of
'about' be doing neither). We are talking about glass if we are citing
elasticity as one of the properties of glass, we
are talking about elasticity if we are citing
glass as one of the substances which are elastic. Similarly
when we say Socrates is wise, we may be citing Socrates as an
instance of wisdom or wisdom as one of the proper- ties
of Socrates. And of course we may be doing
neither but, e.g., just imparting miscellaneous
information. Now how, if at all, could this
difference help me with my question? Would it help at all, for example,
if it were plausible (which it is not) to say that we were
inevitably more interested in determining what properties a given
particular had,than in determining what particular had a given property?
Wouldn't this at least suggest that particulars were the natural
subjects, in the sense of subjects of &erest? Let
me answer this question by the reminder that what I
have to do is to establish a connexion between
some formal linguistic difference and a category
difference; and a formal linguistic difference is
one which logic can take cognizance of, in abstraction from pragmatic
considerations, like the direction of interest. Such
a formal ditference exists in the difference between appearing in
discourse directly designated and appearing in discourse
under the cloak of quantification. ““But the difference in the
use of unquantified statements to which Cook Wilson draws
attention is not a formal difference at all.”Both glass and elasticity,
Socrates and wisdom appear named in such statements,
whichever, in Cook Wilson's sense, we are talking
about. An appeal to pragmatic considerations is,
certainly, an essential part of my own
account at a certain point: but this is the point at which
such considerations are in- voked to explain why a certain formal
difference should be particularly closely linked, in common speech, with
a certain category difference. The difference of which Cook Wilson
speaks is, then, though interesting in itself, irrelevant to my question.
Cook Wilson is, and I am not, concerned with what Sellars
calls dialectical distinctions.” On
p.76 Grice mentions for the first time the “ROLE” of if in an indefinite series
of ‘interrogative subordination.”For Cook Wilson,as Price knew (he
quotes him in Belief), the function of ‘if’ is to LINK TWO QUESTIONS. You’re
the cream in my coffee as ‘absurd’ if literally (p. 83). STATEMENT In this entry we will explore how Grice sees
the ‘implicaturum’ that he regards as ‘conversational’ as applied to the
emissor and in reference to the Graeco-Roman classical tradition. Wht is
implicated may not be the result of any maxim, and yet not conventional –
depending on a feature of context. But nothing like a maxim – Strawson Wiggins
p. 523. Only a CONVERSATIONAL IMPLICATURUM is the result of a CONVERSATIONAL MAXIM
and the principle of conversational helpfulness. In a ‘one-off’ predicament,
there may be an ‘implicaturum’ that springs from the interaction itself. If E
draws a skull, he communicates that there is danger. If addressee runs away,
this is not part of the implicaturum. This Grice considers in “Meaning.” “What
is meant” should cover the immediate effect, and not any effect that transpires
out of the addressee’s own will. Cf. Patton on Kripke. One thief to another:
“The cops are coming!” The expressiom “IMPLICATION” is figures, qua entry, in a
philosophical dictionary that Grice consulted at Oxford. In the vernacular,
there are two prominent relata: entailment and implicaturum, the FRENCH have
their “implication.” When it comes to the Germans, it’s more of a trick.
There’s the “nachsichziehen,” the “zurfolgehaben,” the “Folge(-rung),” the
“Schluß,” the “Konsequenz,” and of course the “Implikation” and the “Implikatur,”
inter alia. In Grecian, which Grice
learned at Clifton, we have the “sumpeplegmenon,” or “συμπεπλεγμένον,” if you
must, i. e. the “sum-peplegmenon,” but there’s also the “sumperasma,” or “συμπέϱασμα,”
if you must, “sum-perasma;” and then there’s the “sunêmmenon,” or “συνημμένον,”
“sun-emmenon,” not to mention (then why does Grice?) the “akolouthia,” or “ἀϰολουθία,”
if you must, “akolouthia,” and the “antakolouthia,” ἀνταϰολουθία,” “ana-kolouthia.”
Trust clever Cicero to regard anything ‘Grecian’ as not displaying enough
gravitas, and thus rendering everything into Roman. There’s the “illatio,” from
‘in-fero.’ The Romans adopted two different roots for this, and saw them as
having the same ‘sense’ – cf. referro, relatum, proferro, prolatum; and then
there’s the “inferentia,”– in-fero; and then there’s the “consequentia,” --
con-sequentia. The seq- root is present in ‘sequitur,’ non sequitur. The ‘con-‘
is transliterating Greek ‘syn-’ in the three expressions with ‘syn’:
sympleplegmenon, symperasma, and synemmenon. The Germans, avoiding the
Latinate, have a ‘follow’ root: in “Folge,” “Folgerung,” and the verb
“zur-folge-haben. And perhaps ‘implicatio,’
which is the root Grice is playing with. In Italian and French it
underwent changes, making ‘to imply’ a doublet with Grice’s ‘to implicate’ (the
form already present, “She was implicated in the crime.”). The strict opposite
is ‘ex-plicatio,’ as in ‘explicate.’ ‘implico’ gives both ‘implicaturum’ and
‘implicitum.’ Consequently, ‘explico’ gives both ‘explicatum’ and ‘explicitum.’
In English Grice often uses ‘impicit,’ and ‘explicit,’ as they relate to
communication, as his ‘implicaturum’ does. His ‘implicaturum’ has more to do
with the contrast with what is ‘explicit’ than with ‘what follows’ from a
premise. Although in his formulation, both readings are valid: “by uttering x,
implicitly conveying that q, the emissor CONVERSATIONALY implicates that p’ if
he has explicitly conveyed that p, and ‘q’ is what is required to ‘rationalise’
his conversational behavioiur. In terms of the emissor, the distinction is
between what the emissor has explicitly conveyed and what he has
conversationally implicated. This in turn contrasts what some philosophers
refer metabolically as an ‘expression,’ the ‘x’ ‘implying’ that p – Grice does
not bother with this because, as Strawson and Wiggins point out, while an
emissor cannot be true, it’s only what he has either explicitly or implicitly
conveyed that can be true. As Austin says, it’s always a FIELD where you do the
linguistic botany. So, you’ll have to vide and explore: ANALOGY, PROPOSITION, SENSE,
SUPPOSITION, and TRUTH. Implication denotes a relation between propositions and
statements such that, from the truth-value of the protasis or antecedent (true
or false), one can derive the truth of the apodosis or consequent. More
broadly, we can say that one idea ‘implies’ another if the first idea cannot be
thought without the second one -- RT: Lalande, Vocabulaire technique et critique
de la philosophie. Common usage makes no strict differentiation between “to
imply,” “to infer,” and “to lead to.” Against Dorothy Parker. She noted that
those of her friends who used ‘imply’ for ‘infer’ were not invited at the
Algonquin. The verb “to infer,” (from Latin, ‘infero,’ that gives both
‘inferentia,’ inference, and ‘illatio,’ ‘illatum’) meaning “to draw a
consequence, to deduce” (a use dating to 1372), and the noun “inference,”
meaning “consequence” (from 1606), do not on the face of it seem to be
manifestly different from “to imply” and “implication.” But in Oxonian usage,
Dodgson avoided a confusion. “There are two ways of confusing ‘imply’ with
‘infer’: to use ‘imply’ to mean ‘infer,’ and vice versa. Alice usually does the
latter; the Dodo the former.” Indeed, nothing originally distinguishes
“implication” as Lalande defines it — “a relation by which one thing ‘implies’
another”— from “inference” as it is defined in Diderot and d’Alembert’s
Encyclopédie (1765): “An operation by which one ACCEPTS (to use a Griceism) a
proposition because of its connection to other propositions held to be true.” The
same phenomenon can be seen in the German language, in which the terms corresponding
to “implication,” “Nach-sich-ziehen,” “Zur-folge-haben,” “inference,”
“Schluß”-“Folgerung,” “Schluß,” “to infer,” “schließen,” “consequence,” “Folge”
“-rung,” “Schluß,” “Konsequenz,” “reasoning,” “”Schluß-“ “Folgerung,” and “to
reason,” “schließen,” “Schluß-folger-ung-en ziehen,” intersect or overlap to a
large extent. In the French language, the expression “impliquer” reveals
several characteristics that the expression does not seem to share with “to
infer” or “to lead to.” First of all, “impliquer” is originally (1663)
connected to the notion of contradiction, as shown in the use of impliquer in
“impliquer contradiction,” in the sense of “to be contradictory.” The
connection between ‘impliquer’ and ‘contradiction’ does not, however, explain
how “impliquer” has passed into its most commonly accepted meaning — “implicitly
entail” — viz. to lead to a consequence. Indeed, the two usages (“impliquer”
connected with contradiction” and otherwise) constantly interfere with one
another, which certainly poses a number of difficult problems. An analogous
phenomenon can be found in the case of “import,” commonly given used as “MEAN”
or “imply,” but often wavering instead, in certain cases, between “ENTAIL” and
“imply.” In French, the noun “import” itself is generally left as it I (“import
existentiel,” v. SENSE, Box 4, and cf. that’s unimportant, meaningless). “Importer,” as used by Rabelais, 1536, “to
necessitate, to entail,” forms via
It.“importare,” as used by Dante), from the Fr. “emporter,” “to entail,
to have as a consequence,” dropped out of usage, and was brought back through
Engl. “import.” The nature of the connection between the two primary usages of L.
‘implicare,’ It. ‘implicare,’ and Fr. ‘impliquer,’ “to entail IMPLICITitly” and
“to lead to a consequence,” nonetheless remains obscure, but not to a Griceian,
or Grecian. Another difficulty is understanding how the transition occurs from
Fr. “impliquer,” “to lead to a consequence,” to “implication,” “a logical
relation in which one statement necessarily supposes another one,” and how we
can determine what in this precise case distinguishes “implication” from
“PRAE-suppositio.” We therefore need to be attentive to what is implicit in Fr.
“impliquer” and “implication,” to the dimension of Fr. “pli,” a pleat or fold,
of Fr. “re-pli,” folding back, and of the Fr. “pliure,” folding, in order to
separate out “imply,” “infer,” “lead to,” or “implication,” “inference,”
“consequence”—which requires us to go back to Latin, and especially to medieval
Latin. Once we clarify the relationship between the usage of “implication” and
the medieval usage of “implicatio,” we will be able to examine certain
derivations (as in Sidonius’s ‘implicatura,” and H. P. Grice’s “implicaturum,”
after ‘temperature,’ from ‘temperare,’) or substitutes (“entailment”) of terms
related to the generic field (for linguistic botanising) of “implicatio,”
assuming that it is difficulties with the concept of implication (e. g., the
‘paradoxes,’ true but misleading, of material versus formal implication –
‘paradox of implication’ first used by Johnson 1921) that have given rise to
this or that newly coined expression corresponding to this or that original
attempt. This whole set of difficulties certainly becomes clearer as we leave
Roman and go further upstream to Grecian, using the same vocabulary of
implication, through the conflation of several heterogeneous gestures that come
from the systematics in Aristotle and the Stoics. The Roman Vocabulary of
Implication and the Implicatio has the necessary ‘gravitas,’ but Grice, being a
Grecian at heart, found it had ‘too much gravitas,’ hence his ‘implicaturum,’
“which is like the old Roman ‘implicare,’ but for fun!” A number of different
expressions in medieval Latin can express in a more or less equivalent manner
the relationship between propositions and statements such that, from the
truth-value of the antecedent (true or false), one can derive the truth-value
of the consequent. There is “illatio,” and of course “illatum,” which Varro
thought fell under ‘inferre.’ Then there’s the feminine noun, ‘inferentia,’
from the ‘participium praesens’ of ‘inferre,’ cf. ‘inferens’ and ‘ilatum.’
There is also ‘consequentia,’ which is a complex transliterating the Greek
‘syn-,’ in this case with ‘’sequentia,’ from the deponent verb. “I follow you.”
Peter Abelard (Petrus Abelardus, v. Abelardus) makes no distinction in using
the expression “consequentia” for the ‘propositio conditionalis,’ hypothetical.
Si est homo, est animal. If Grice is a man, Grice is an animal (Dialectica, 473
– Abelardus uses ‘Greek man,’ not Grice.’ His implicaturum is ‘if a Greek man
is a man, he is therefore also some sort of an animal’). But Abelardus also
uses the expression “inferentia” for ‘same old same old’ (cf. “Implicaturum
happens.”). Si non est iustus homo, est non iustus homo. Grice to Strawson on
the examiner having given him a second. “If it is not the case that your
examiner was a fair man, it follows thereby that your examiner was not a fair
man, if that helps.” (Dialectica., 414).
For some reason, which Grice found obscure, ‘illatio” appears “almost
always” in the context of commenting on Aristotle’s “Topics,” – “why people
found the topic commenting escapes me” -- aand denotes more specifically a
reasoning, or “argumentum,” in Boethius, allowing for a “consequentia” to be
drawn from a given place. So Abelardus distinguishes: “illatio a causa.” But
there is also “illatio a simili.” And there is “iillatio a pari.” And there is
“illatio a partibus.” “Con-sequentia” sometimes has a very generic usage, even
if not as generic as ‘sequentia.” “Consequentia est quaedam habitudo inter
antecedens et consequens,” “Logica modernorum,” 2.1:38 – Cfr. Grice on
Whitehead as a ‘modernist’! Grice draws his ‘habit’ from the scholastic
‘habitudo.’ Noe that ‘antededens’ and ‘consequens.’ The point is a tautological
formula, in terms of formation. Surely ‘consequentia’ relates to a
‘consequens,’ where the ‘consequens’ is the ‘participium praesens’ of the verb
from which ‘consequentia’ derives. It’s like deving ‘love’ by ‘to have a beloved.’
“Consequentia” is in any case present, in some way, without the intensifier
‘syn,’ which the Roman gravitas added to transliterate the Greek ‘syn,’ i. e.
‘cum.’ -- in the expression “sequitur” and in the expression “con-sequitur,”
literally, ‘to follow,’ ‘to ensue,’ ‘to result in’). Keenan told Grice that
this irritated him. “If there is an order between a premise and a conclusion, I
will stop using ‘follow,’ because that reverts the order. I’ll use ‘… yields …’
and write that ‘p yields q.’” “Inferentia,” which is cognate (in the Roman way
of using this expression broadly) with ‘illatio,’ and ‘illatum,’ -- frequently
appears, by contrast, and “for another Grecian reason,” as Grice would put it
-- in the context of the Aristotle’s “De Interpretatione,” on which Grice
lectures only with J. L. Austin (Grice lectured with Strawson on “Categoriae,”
only – but with Austin, from whom Grice learned – Grice lectured on both
“Categoriae’ AND “De Interpretatione.” -- whether it is as part of a commentarium on Apuleius’s
Isagoge and the Square of Oppositions (‘figura quadrata spectare”), in order to
explain this or that “law” underlying any of the four sides of the square. So,
between A and E we have ‘propositio opposita.’ Between A and I, and between E
and O, we have propositio sub-alterna. Between A and O, and between E and I, we
have propositio contradictoria. And between I and O, we have “propositio
sub-alterna.” -- Logica modernorum, 2.1:115. This was irritatingly explored by
P. F. Strawson and brought to H. P. Grice’s attention, who refused to accept
Strawson’s changes and restrictions of the ‘classical’ validities (or “laws”)
because Strawson felt that the ‘implication’ violated some ‘pragmatic rule,’
while still yielding a true statement. Then there’s the odd use of “inferentia”
to apply to the different ‘laws’ of ‘conversio’ -- from ‘convertire,’
converting one proposition into another (Logica modernorum 131–39). Nevertheless,
“inferentia” is used for the dyadic (or triadic, alla Peirce) relationship of ‘implicatio,’
which for some reason, the grave Romans were using for less entertaining
things, and not this or that expressions from the “implication” family, or
sub-field. Surprisingly, a philosopher
without a classical Graeco-Roman background could well be mislead into thinking
that “implicatio” and “implication” are disparate! A number of treatises,
usually written by monks – St. John’s, were Grice teaches, is a Cicercian
monastery -- explore the “implicits.” Such a “tractatus” is not called
‘logico-philosophicus,’ but a “tractatus implicitarum,” literally a treatise on
this or that ‘semantic’ property of the
proposition said to be an ‘implicaturum’ or an ‘implication,’ or ‘propositio re-lativa.’
This is Grice’s reference to the conversational category of ‘re-lation.’
“Re-latio” and “Il-latio” are surely cognate. The ‘referre’ is a bring back;
while the ‘inferre’ is the bring in. The propositio is not just ‘brought’
(latum, or lata) it is brought back. Proposition Q is brought back (relata) to
Proposition P. P and Q become ‘co-relative.’ This is the terminology behind the
idea of a ‘relative clause,’ or ‘oratio relativa.’ E.g. “Si Plato tutee
Socrates est, Socratos tutor Platonis est,” translated by Grice, “If Strawson was
my tutee, it didn’t show!”. Now, closer to Grice “implicitus,” with an “i”
following the ‘implic-‘ rather than the expected ‘a’ (implica), “implicita,”
and “implicitum,” is an alternative “participium passatum” from “im-plic-are,”
in Roman is used for “to be joined, mixed, enveloped.” implĭco (inpl- ), āvi,
ātum, or (twice in Cic., and freq. since the Aug. per.) ŭi, ĭtum (v. Neue,
Formenl. 2, 550 sq.), 1, v. a. in-plico, to fold into; hence, I.to infold,
involve, entangle, entwine, inwrap, envelop, encircle, embrace, clasp, grasp
(freq. and class.; cf.: irretio, impedio). I. Lit.: “involvulus in pampini
folio se,” Plaut. Cist. 4, 2, 64: “ut tenax hedera huc et illuc Arborem
implicat errans,” Cat. 61, 35; cf. id. ib. 107 sq.: “et nunc huc inde huc
incertos implicat orbes,” Verg. A. 12, 743: “dextrae se parvus Iulus
Implicuit,” id. ib. 2, 724; cf.: “implicuit materno bracchia collo,” Ov. M. 1,
762: “implicuitque suos circum mea colla lacertos,” id. Am. 2, 18, 9:
“implicuitque comam laevā,” grasped, Verg. A. 2, 552: “sertis comas,” Tib. 3,
6, 64: “crinem auro,” Verg. A. 4, 148: “frondenti tempora ramo,” id. ib. 7,
136; cf. Ov. F. 5, 220: in parte inferiore hic implicabatur caput, Afran. ap.
Non. 123, 16 (implicare positum pro ornare, Non.): “aquila implicuit pedes
atque unguibus haesit,” Verg. A. 11, 752: “effusumque equitem super ipse
(equus) secutus Implicat,” id. ib. 10, 894: “congressi in proelia totas
Implicuere inter se acies,” id. ib. 11, 632: “implicare ac perturbare aciem,”
Sall. J. 59, 3: “(lues) ossibus implicat ignem,” Verg. A. 7, 355.—In part.
perf.: “quini erant ordines conjuncti inter se atque implicati,” Caes. B. G. 7,
73, 4: “Canidia brevibus implicatura viperis Crines,” Hor. Epod. 5, 15: “folium
implicaturum,” Plin. 21, 17, 65, § 105: “intestinum implicaturum,” id. 11, 4,
3, § 9: “impliciti laqueis,” Ov. A. A. 2, 580: “Cerberos implicitis angue
minante comis,” id. H. 9, 94: “implicitamque sinu absstulit,” id. A. A. 1, 561:
“impliciti Peleus rapit oscula nati,” held in his arms, Val. Fl. 1, 264. II.
Trop. A. In gen., to entangle, implicate, involve, envelop, engage: “di
immortales vim suam ... tum terrae cavernis includunt, tum hominum naturis
implicant,” Cic. Div. 1, 36, 79: “contrahendis negotiis implicari,” id. Off. 2,
11, 40: “alienis (rebus) nimis implicari molestum esse,” id. Lael. 13, 45:
“implicari aliquo certo genere cursuque vivendi,” id. Off. 1, 32, 117:
“implicari negotio,” id. Leg. 1, 3: “ipse te impedies, ipse tua defensione
implicabere,” Cic. Verr. 2, 2, 18, § 44; cf.: multis implicari erroribus, id.
Tusc. 4, 27, 58: “bello,” Verg. A. 11, 109: “eum primo incertis implicantes
responsis,” Liv. 27, 43, 3: “nisi forte implacabiles irae vestrae implicaverint
animos vestros,” perplexed, confounded, id. 40, 46, 6: “paucitas in partitione
servatur, si genera ipsa rerum ponuntur, neque permixte cum partibus
implicantur,” are mingled, mixed up, Cic. Inv. 1, 22, 32: ut omnibus copiis
conductis te implicet, ne ad me iter tibi expeditum sit, Pompei. ap. Cic. Att.
8, 12, D, 1: “tanti errores implicant temporum, ut nec qui consules nec quid
quoque anno actum sit digerere possis,” Liv. 2, 21, 4.—In part. perf.: “dum rei
publicae quaedam procuratio multis officiis implicaturum et constrictum
tenebat,” Cic. Ac. 1, 3, 11: “Deus nullis occupationibus est implicatus,” id.
N. D. 1, 19, 51; cf.: “implicatus molestis negotiis et operosis,” id. ib. 1,
20, 52: “animos dederit suis angoribus et molestiis implicatos,” id. Tusc. 5,
1, 3: “Agrippina morbo corporis implicatura,” Tac. A. 4, 53: “inconstantia tua
cum levitate, tum etiam perjurio implicatura,” Cic. Vatin. 1, 3; cf. id. Phil.
2, 32, 81: “intervalla, quibus implicatura atque permixta oratio est,” id. Or.
56, 187: “(voluptas) penitus in omni sensu implicatura insidet,” id. Leg. 1,
17, 47: “quae quatuor inter se colligata atque implicatura,” id. Off. 1, 5, 15:
“natura non tam propensus ad misericordiam quam implicatus ad severitatem
videbatur,” id. Rosc. Am. 30, 85; “and in the form implicitus, esp. with morbo
(in morbum): quies necessaria morbo implicitum exercitum tenuit,” Liv. 3, 2, 1;
7, 23, 2; 23, 40, 1: “ubi se quisque videbat Implicitum morbo,” Lucr. 6, 1232:
“graviore morbo implicitus,” Caes. B. C. 3, 18, 1; cf.: “implicitus in morbum,”
Nep. Ages. 8, 6; Liv. 23, 34, 11: “implicitus suspicionibus,” Plin. Ep. 3, 9,
19; cf.: “implicitus terrore,” Luc. 3, 432: “litibus implicitus,” Hor. A. P.
424: “implicitam sinu abstulit,” Ov. A. A. 1, 562: “(vinum) jam sanos
implicitos facit,” Cael. Aur. Acut. 3, 8, 87.— B. In partic., to attach
closely, connect intimately, to unite, join; in pass., to be intimately
connected, associated, or related: “(homo) profectus a caritate domesticorum ac
suorum serpat longius et se implicet primum civium, deinde mortalium omnium
societate,” Cic. Fin. 2, 14, 45: “omnes qui nostris familiaritatibus implicantur,”
id. Balb. 27, 60: “(L. Gellius) ita diu vixit, ut multarum aetatum oratoribus
implicaretur,” id. Brut. 47, 174: “quibus applicari expediet, non implicari,”
Sen. Ep. 105, 5.— In part. perf.: “aliquos habere implicatos consuetudine et
benevolentia,” Cic. Fam. 6, 12, 2: “implicatus amicitiis,” id. Att. 1, 19, 8:
“familiaritate,” id. Pis. 29, 70: “implicati ultro et citro vel usu diuturno
vel etiam officiis,” id. Lael. 22, 85. —Hence, 1. implĭcātus (inpl- ), a, um,
P. a., entangled, perplexed, confused, intricate: “nec in Torquati sermone
quicquam implicaturum aut tortuosum fuit,” Cic. Fin. 3, 1, 3: “reliquae (partes
orationis) sunt magnae, implicaturae, variae, graves, etc.,” id. de Or. 3, 14,
52: vox rauca et implicatura, Sen. Apocol. med. — Comp.: “implicatior ad
loquendum,” Amm. 26, 6, 18. — Sup.: “obscurissima et implicatissima quaestio,”
Gell. 6, 2, 15: “ista tortuosissima et implicatissima nodositas,” Aug. Conf. 2,
10 init.— 2. im-plĭcĭtē (inpl- ), adv., intricately (rare): “non implicite et abscondite,
sed patentius et expeditius,” Cic. Inv. 2, 23, 69. -- “Implicare” adds to these
usages the idea of an unforeseen difficulty, i. e. a hint of “impedire,” and
even of deceit, i. e. a hint of “fallere.” Why imply what you can exply? Cf.
subreptitious. subreption (n.)"act of obtaining a favor by fraudulent
suppression of facts," c. 1600, from Latin subreptionem (nominative subreptio),
noun of action from past-participle stem of subripere, surripere (see surreptitious).
Related: Subreptitious.
surreptitious (adj.)mid-15c., from Latin surrepticius "stolen,
furtive, clandestine," from surreptus, past participle
of surripere "seize
secretly, take away, steal, plagiarize," from assimilated form of sub "from
under" (hence, "secretly;" see sub-) + rapere "to
snatch" (see rapid). Related: Surreptitiously. The source of the philosophers’s usage
of ‘implicare’ is a passage from Aristotle’s “De Int.” on the contrariety of proposition
A and E (14.23b25–27), in which “implicita” (that sould be ‘com-plicita,’ and
‘the emissor complicates that p”) renders Gk. “sum-pepleg-menê,”
“συμ-πεπλεγμένη,” f. “sum-plek-ein,” “συμ-πλέϰein,” “to bind together,” as in
‘com-plicatio,’ complication, and Sidonius’s ‘complicature,’ and Grice’s
‘complicature,’ as in ‘temperature,’ from ‘temperare.’ “One problem with P. F.
Strawson’s exegesis of J. L. Austin is the complicature is brings.” This is
from the same family or field as “sum-plokê,” “συμ-πλοϰή,” which Plato (Pol.
278b; Soph. 262c) uses for the ‘second articulation,’ the “com-bination” of sounds
(phone) that make up a word (logos), and, more philosophically interesting, for
‘praedicatio,’ viz., the interrelation within a ‘logos’ or ‘oratio’ of a noun,
or onoma or nomen, as in “the dog,” and a verb, or rhema, or verbum, -- as in
‘shaggisising’ -- that makes up a propositional complex, as “The dog is
shaggy,” or “The dog shaggisises.” (H. P. Grice, “Verbing from adjectiving.”).
In De Int. 23b25-27, referring to the contrariety of A and O, Aristotle, “let’s
grant it” – as Grice puts it – “is hardly clear.” Aristotle writes: “hê de tou
hoti kakon to agathon SUM-PEPLEG-MENÊ estin.” “Kai gar hoti ouk agathon anagkê
isôs hupolambanein ton auton.”“ἡ δὲ τοῦ ὅτι ϰαϰὸν τὸ ἀγαθὸν συμπεπλεγμένη
ἐστίν.”“ϰαὶ γὰϱ ὅτι οὐϰ ἀγαθὸν ἀνάγϰη ἴσως ὑπολαμϐάνειν τὸν αὐτόν.” Back in
Rome, Boethius thought of bring some gravitas to this. “Illa vero quae est,”
Boethius goes,” Quoniam malum est quod est bonum, IMPLICATURA est. Et enim:
“Quoniam non bonum est.” necesse est idem ipsum opinari (repr. in Aristoteles
latinus, 2.1–2.4–6. In a later vulgar Romance, we have J. Tricot). “Quant au
jugement, “Le bon est mal” ce n’est en réalité qu’une COMBINAISON de jugements,
cars sans doute est-il nécessaire de sous-entendre en même temps “le bon n’est
pas le bon.” Cf. Mill on ‘sous-entendu’ of conversation. This was discussed by
H. P. Grice in a tutorial with Reading-born English philosopher J. L. Ackrill
at St. John’s. With the help of H. P.
Grice, J. L. Ackrill tries to render Boethius into the vernacular (just to
please Austin) as follows. “Hê de tou hoti kakon to agathon SUM-PEPLEG-MENÊ
estin, kai gar hoti OUK agathon ANAGKê isôs hupo-lambanein ton auton” “Illa
vero quae est, ‘Quoniam malum est quod est bonum,’ IMPLICATURA est, et enim,
‘Quoniam non bonum est,’ necesse est idem ipsum OPINARI. In the vernacular: “The
belief expressed by the proposition, ‘The good is bad,’ is COM-PLICATED or
com-plex, for the same person MUST, perhaps, suppose also the proposition, ‘The
good it is not good.’” Aristotle goes on, “For what kind of utterance is “The
good is not good,” or as they say in Sparta, “The good is no good”? Surely
otiose. “The good” is a Platonic ideal, a universal, separate from this or that
good thing. So surely, ‘the good,’ qua idea ain’t good in the sense that
playing cricket is good. But playing cricket is NOT “THE” good: philosophising
is.” H. P. Grice found Boethius’s commentary “perfectly elucidatory,” but
Ackrill was perplexed, and Grice intended Ackrill’s perplexity to go
‘unnoticed’ (“He is trying to communicate his perplexity, but I keep ignoring
it.” For Ackrill was surreptitiously trying to ‘correct’ his tutor. Aristotle,
Acrkill thought, is wishing to define the ‘contrariety’ between two statements
or opinions, or not to use a metalanguage second order, that what is expressed
by ‘The good is bad’ is a contrarium of what is expressed by ‘The good is no
good.’” Aristotle starts, surely, from a principle. The principle states that a
maximally false proposition, set in opposition to a maximally true proposition
(such as “The good is good”), deserves the name “contraria” – and ‘contrarium’
to what is expressed by it. In a second phase, Aristotle then tries to
demonstrate, in a succession of this or that stage, that ‘The good is good’
understood as a propositio universalis dedicativa – for all x, if x is (the)
good, x is good (To agathon agathon estin,’ “Bonum est bonum”) is a maximally true
proposition.” And the reason for this is that “To agathon agathon estin,” or
“Bonum bonum est,” applies to the essence (essentia) of “good,” and
‘predicates’ “the same of the same,” tautologically. Now consider Aristotle’s
other proposition “The good is the not-bad,” the correlative E form, For all x,
if x is good, x is not bad. This does not do. This is not a maximally true
proposition. Unlike “The good is good,” The good is not bad” does not apply to
the essence of ‘the good,’ and it does not predicate ‘the same of the same’
tautologically. Rather, ‘The good is not bad,’ unless you bring one of those
‘meaning postulates’ that Grice rightly defends against Quine in “In defense of
a dogma,” – in this case, (x)(Bx iff ~Gx) – we stipulate something ‘bad’ if it
ain’t good -- is only true notably NOT by virtue of a necessary logical
implication, but, to echo my tutor, by implicaturum, viz. by accident, and not
by essence (or essential) involved in the ‘sense’ of either ‘good’ or ‘bad,’ or
‘not’ for that matter. Surely Aristotle equivocates slightly when he convinced
Grice that an allegedly maximally false proposition (‘the good is bad’) entails
or yields the negation of the same attribute, viz., ‘The good is not good,’ or
more correctly, ‘It is not the case that the good is good,’ for this is
axiomatically contradictory, or tautologically and necessarily false without
appeal to any meaning postulate. For any predicate, Fx and ~Fx. The question
then is one of knowing whether ‘The good is bad’ deserves to be called the
contrary proposition (propositio contraria) of ‘The good is good.’ Aristotle
notes that the proposition, ‘The good is bad,’ “To agathon kakon estin,” “Bonum
malum est,” is NOT the maximally false proposition opposed to the maximally
true, tautological, and empty, proposition, “The good is good,” ‘To agathon
agathon estin,’ “Bonum bonum est.” “Indeed, “the good is bad” is sumpeplegmenê,
or COMPLICATA. What the emissor means is a complicatum, or as Grice preferred,
a ‘complicature. Grice’s complicature (roughly rendered as ‘complification’) condenses
all of the moments of the transition from the simple idea of a container
(cum-tainer) to the “modern” ideas of implication, Grice’s implicaturum, and
prae-suppositio. The ‘propositio complicate,’ is, as Boethius puts it, duplex,
or equivocal. The proposition has a
double meaning – one explicit, the other implicit. “A ‘propositio complicata’ contains
within itself [“continet in se, intra se”]: bonum non est.” Boethius then goes
rightly to conclude (or infer), or stipulate, that only a “simplex”
proposition, not a propositio complicata, involving some ‘relative clause,’ can
be said to be contrary to another -- Commentarii in librum Aristotelis Peri
hermêneais, 219. Boethius’s exegesis thesis is faithful to Aristotle. For
Aristotle, nothing like “the good is not bad,” but only the tautologically
false “the good is not good,” or it is not the case that the good is good, (to
agathon agathon esti, bonum bonum est), a propositio simplex, and not a
propositio complicate, is the opposite (oppositum, -- as per the ‘figura quadrata’
of ‘oppoista’ -- of “the good is good,” another propositio simplex. Boethius’s
analysis of “the good is bad,” a proposition that Boethius calls ‘propositio
complicate or ‘propositio implicita’ are manifestly NOT the same as
Aristotle’s. For Aristotle, the “doxa hoti kakon to agathon [δόξα ὅτι ϰαϰὸν τὸ
ἀγαθόν],” the opinion according to which the good is bad, is only ‘contrary’ to
“the good is good” to the extent that it “con-tains” (in Boethius’s jargon) the
tautologically false ‘The good is not good.’ For Boethius, ‘The good is bad’ is
contrary to ‘the good is good’ is to the extent that ‘the good is bad’ contains,
implicitly, the belief which Boethius expresses as ‘Bonum NON est —“ cf. Grice
on ‘love that never told can be” – Featuring “it is not the case that,” the
proposition ‘bonum non est’ is a remarkably complicated expression in Latin, a
proposition complicata indeed. ‘Bonum non est’ can mean, in the vernacular, “the
good is not.” “Bonum non est” can only be rendered as “there is nothing good.’
“Bonum non est’ may also be rendered, when expanded with a repeated property,
the tautologically false ‘The good is not good” (Bonum non bonum est).
Strangely, Abelard goes in the same direction as Aristotle, contra Boethius. “The
good is bad” (Bonum malum est) is
“implicit” (propositio implicita or complicate) with respect to the
tautologically false ‘Bonum bonum non est’ “the good is not good.”Abelardus,
having read Grice – vide Strawson, “The influence of Grice on Abelardus” --
explains clearly the meaning of “propositio implicita”: “IMPLYING implicitly ‘bonum
non bonum est,’ ‘the good is not good’ within itself, and in a certain wa
containing it [“IM-PLICANS eam in se, et quodammodo continens.” Glossa super
Periermeneias, 99–100. But Abelard expands on Aristotle. “Whoever thinks ‘bonum
malum est,’ ‘the good is bad’ also thinks ‘bonum non bonum est,’ ‘the good is
not good,’ whereas the reverse does not hold true, i. e. it is not the case
that whoever thinks the tautologically false ‘the good is not good’ (“bonum
bonum non est”) also think ‘the good is bad’ (‘bonum malum est’). He may refuse
to even ‘pronounce’ ‘malum’ (‘malum malum est’) -- “sed non convertitur.”
Abelard’s explanation is decisive for the natural history of Grice’s
implication. One can certainly express in terms of “implication” what Abelard
expresses when he notes the non-reciprocity or non-convertibility of the two
propositions. ‘The good is bad,’ or ‘Bonum malum est’ implies or presupposes the
tautologically true “the good is not good;’It is not the case that the
tautologically false “the good is not good” (‘Bonum bonum non est’) implies
ridiculous “the good is bad.” Followers of Aristotle inherit these
difficulties. Boethius and Abelard
bequeath to posterity an interpretation of the passage in Aristotle’s “De
Interpretatione” according to which “bonum malum est” “the good is bad” can
only be considered the ‘propositio opposita’ of the tautologically true ‘bonum
bonum est’ (“the good is good”) insofar as, a ‘propositio implicita’ or
‘relativa’ or ‘complicata,’ it contains the ‘propositio contradictoria, viz.
‘the good is not good,’ the tautologically false ‘Bonum non bonum est,’ of the
tautologically true ‘Bonum bonum est’ “the good is good.” It is this meaning of
“to contain a contradiction” that, in a still rather obscure way, takes up this
analysis by specifying a usage of “impliquer.” The first attested use in French
of the verb “impliquer” is in 1377 in Oresme, in the syntagm “impliquer
contradiction” (RT: DHLF, 1793). These same texts give rise to another
analysis. A propositio implicita or pregnant, or complicate, is a proposition
that “implies,” that is, that in fact contains two propositions, one
principalis, and the other relative, each a ‘propositio explicita,’ and that
are equivalent or equipollent to the ‘propositio complicata’ when paraphrased.
Consider. “Homo qui est albus est animal quod currit,” “A man who is white is
an animal who runs.” This ‘propositio complicate contains the the propositio
implicita, “homo est albus” (“a man is white”) and the propositio implicita,
“animal currit” (“an animal runs.”). Only
by “exposing” or “resolving” (via ex-positio, or via re-solutio) such an ‘propositio
complicata’ can one assign it a truth-value. “Omnis proposition implicita habet
duas propositiones explicitas.” “A proposition implicita “P-im” has (at least)
a proposition implicita P-im-1 and a different proposition implicita P-im-2.”
“Verbi gratia.” “Socrates est id quod est homo.” “Haec propositio IMplicita
aequivalet huic copulativae constanti ex duis propositionis explicitis. Socrates
est aliquid est illud est homo. Haec proposition est vera, quare et propositio
implicita vera. Every “implicit proposition” has two explicit propositions.”
“Socrates is something (aliquid) which is a man.” This implicit proposition,
“Socrates is something shich is a man,” is equivalent or equipoent to the
following conjunctive proposition made up of two now EXplicit propositions, to
wit, “Socrates is something,” and “That something is a man.” This latter
conjunctive proposition of the two explicit propositions is true. Therefore,
the “implicit” proposition is also true” (Tractatus implicitarum, in Giusberti –
Materiale per studum, 43). The two “contained” propositions are usually relative
propositions. Each is called an ‘implicatio.’ ‘Implicatio’ (rather than
‘implicitio’) becomes shorthand for “PROPOSITIO implicita.” An ‘implicatio’
becomes one type of ‘propositio
exponibilis,’ i. e. a proposition that is to be “exposed” or paraphrased for its
form or structure to be understood. In
the treatises of Terminist logic, one chapter is by custom devoted to the
phenomenon of “restrictio,” viz. a restriction in the denotation or the
suppositio of the noun (v. SUPPOSITION). A relative expression (an implication),
along with others, has a restrictive function (viz., “officium implicandi”),
just like a sub-propositional expression like an adjective or a participle.
Consider. “A man, Grice, who argues,
runs to the second base.” “Man,” because
of the relative expression or clause “who runs,” is restricted to denoting the
present time (it is not Grice, who argues NOW but ran YESTERDAY). Moreover there
is an equivalence or equipolence between the relative expression “qui currit”
and the present participle “currens.” Running Grice argues. Grice who runs
argues. Summe metenses, Logica modernorum, 2.1:464. In the case in which a
relative expression is restrictive, its function is to “leave something that is
constant,” “aliquid pro constanti relinquere,” viz., to produce a pre-assertion
that conditions the truth of the main super-ordinate assertion without being
its primary object or topic or signification or intentio. “Implicare est pro
constanti et involute aliquid significare.” “Ut cum dicitur homo qui est albus
currit.” “Pro constanti” dico, quia
praeter hoc quod assertitur ibi cursus de homine, aliquid datur intelligi,
scilicet hominem album; “involute” dico quia praeter hoc quod ibi proprie et
principaliter significatur hominem currere, aliquid intus intelligitur,
scilicet hominem esse album. Per hoc patet quod implicare est intus plicare. Id
enim quod intus “plicamus” sive “ponimus,” pro constanti relinquimus. Unde
implicare nil aliud est quam subiectum sub aliqua dispositione pro constanti
relinquere et de illo sic disposito aliquid affirmare. Ackrill translates to
Grice: “To imply” is to signify something by stating it as constant, and in a pretty
‘hidden’ manner – “involute.” When I state that the man
runs, I state, stating it as constant, because, beyond (“praeter”) the main
supra-ordinate assertion or proposition that predicates the running of the man,
my addressee is given to understand something else (“aliquid intus
intelligitur”), viz. that the man is white; This is communicated in a hidden
manner (“involute”) because, beyond (“praeter”) what is communicated (“significatur”)
primarily, principally (“principaliter”) properly (“proprie”), literally, and
explicitly, viz. that the man is running, we are given to understand something
else (“aliquid intus intelligutur”) within (“intus”), viz. that the man is white. It follows from this that implicare is
nothing other than what the form of the expression literally conveys, intus
plicare (“folded within”). What we fold
or state within, we leave as a constant.
It follows from this that “to imply” is nothing other than leaving
something as a constant in the subject (‘subjectum’), such that the subject (subjectum,
‘homo qui est albus”) is under a certain disposition, and that it is only under
this disposition that something about the subjectum is affirmed” -- De
implicationibus, Nota, 100) For the record: while Giusberti (“Materiale per
studio,” 31) always reads “pro constanti,” the MSS occasionally has the pretty
Griciean “precontenti.” This is a case of what the “Logique du Port-Royal”
describes as an “in-cidental” assertion. The situation is even more complex,
however, insofar as this operation only relates to one usage of a relative
proposition, viz. when the proposition is restrictive. A restriction can
sometimes be blocked, or cancelled, and the reinscriptions are then different
for a nonrestrictive and a restrictive
relative proposition. One such case of a blockage is that of “false
implication” (Johnson’s ‘paradox of ‘implicatio’) as in “a [or the] man who is
a donkey runs,” (but cf. the centaur, the man who is a horse, runs) where there
is a conflict (“repugnantia”) between what the determinate term itself denotes
(homo, man) and the determination (ansinus, donkey). The truth-values of a
proposition containing a relative clause or propositio thus varies according to
whether it is restrictive, and of composite meaning, as in “homo, qui est albus,
currit” (A man, who is white, runs), or non-restrictive, and of divided
meaning, as in “Homo currit qui est albus” (Rendered in the vernacular in the
same way, the Germanic languages not having the syntactic freedom the classical
languages do: A man, who is white, is running. When the relative is
restrictive, as in “Homo, qui est albus, curris”, the propositio implicits only
produces one single assertion, since the relative corresponds to a pre-assertion.
Thus, it is the equivalent, at the level of the underlying form, to a
proposition conditionalis or hypothetical. Only in the second case can there be
a “resolution” of the proposition implicita into the pair of this and that
‘propositio explicita, to wit, “homo currit,”
“homo est albus.”—and an equipolence between the complex proposition
implicita and the conjunction of the first proposition explicita and the second
proposition explicitta. Homo currit et ille est albus. So it is only in this second
case of proposition irrestrictiva that
one can say that “Homo currit, qui est albus implies “Homo currit,” and “Homo
est albus” and therefore, “Homo qui est albus currit.” The poor grave Romans
are having trouble with Grecisms. The Grecist vocabulary of implication is both
disparate and systematic, in a Griceian oxymoronic way. The grave Latin
“implicare” covers and translates an extremely varied Grecian field of
expressions ready to be botanized, that bears the mark of heterogeneous rather
than systematic operations, whether one is dealing Aristotle or the Stoics. The
passage through grave Roman allows us to understand retrospectively the connection
in Aristotle’s jargon between the “implicatio” of the “propositio implicita,” sum-pepleg-menê,
as an interweaving or interlacing, and conclusive or con-sequential implicatio,
sumperasma, “συμπέϱασμα,” or “sumpeperasmenon,” “συμπεπεϱασμένον,” “sumpeperasmenê,”
“συμπεπεϱασμένη,” f. perainein, “πεϱαίνein, “to limit,” which is the jargon
Aristotle uses in the Organon to denote the conclusion of a syllogism (Pr.
Anal. 1.15.34a21–24). If one designates as A the premise, tas protaseis, “τὰς
πϱοτάσεις,” and as B the con-clusion, “to sumperasma,” συμπέϱασμα.” Cf. the
Germanic puns with ‘closure,’ etc. When
translating Aristotle’s definition of the syllogism at Prior Analytics
1.1.24b18–21, Tricot chooses to render as the “con-sequence” Aristotle’s verb
“sum-bainei,” “συμ-ϐαίνει,” that which “goes with” the premise and results from
it. A syllogism is a discourse, “logos,” “λόγος,” in which, certain things
being stated, something other than what is stated necessarily results simply
from the fact of what is stated. Simply from the fact of what is stated, I mean
that it is because of this that the consequence is obtained, “legô de tôi tauta
einai to dia tauta sumbainei,” “λέγω δὲ τῷ ταῦτα εἶναι τὸ διὰ ταῦτα συμϐαίνει.”
(Pr. Anal. 1.1, 24b18–21). To make the connection with “implication,” though,
we also have to take into account, as is most often the case, the Stoics’ own
jargon. What the Stoics call “sumpeplegmenon,” “συμπεπλεγμένον,” is a “conjunctive”
proposition; e. g. “It is daytime, and it is light” (it is true both that A and
that B). The conjunctive is a type of molecular proposition, along with the
“conditional” (sunêmmenon [συνημμένον] -- “If it is daytime, it is light”) and
the “subconditional” (para-sunêmmenon [παϱασυνημμένον]; “SINCE it is daytime,
it is light”), and the “disjunctive” (diezeugmenon [διεζευγμένον] -- “It is daytime, or it is night.” Diog. Laert.
7.71–72; cf. RT: Long and Sedley, A35, 2:209 and 1:208). One can see that there
is no ‘implicatio’ in the conjunctive, whereas there is one in the ‘sunêmmenon’
(“if p, q”), which constitutes the Stoic expression par excellence, as distinct
from the Aristotelian categoric syllogism.Indeed, it is around the propositio conditionalis
that the question and the vocabulary of ‘implicatio’ re-opens. The Aristotelian
sumbainein [συμϐαίνειν], which denotes the accidental nature of a result,
however clearly it has been demonstrated (and we should not forget that
sumbebêkos [συμϐεϐηϰός] denotes accident; see SUBJECT, I), is replaced by “akolouthein”
[ἀϰολουθεῖν] (from the copulative a- and keleuthos [ϰέλευθος], “path” [RT:
Chantraine, Dictionnaire étymologique de la langue grecque, s.v. ἀϰόλουθος]),
which denotes instead being accompanied by a consequent conformity. This
connector, i. e. the “if” (ei, si) indicates that the second proposition, the
con-sequens (“it is light”) follows (akolouthei [ἀϰολουθεῖ]) from the first
(“it is daytime”) (Diog. Laert, 7.71). Attempts, beginning with Philo or
Diodorus Cronus up to Grice and Strawson to determine the criteria of a “valid”
conditional (to hugies sunêmmenon [τὸ ὑγιὲς συνημμένον] offer, among other
possibilities, the notion of emphasis [ἔμφασις], which Long and Sedley
translate as “G. E. Moore’s entailment” and Brunschwig and Pellegrin as
“implication” (Sextus Empiricus, The Skeptic Way, in RT: Long and Sedley, The
Hellenistic Philosophers, 35B, 2:211 and 1:209), a term that is normally used
to refer to a reflected image and to the force, including rhetorical force, of
an impression. Elsewhere, this “emphasis” is explained in terms of dunamis
[δύναμις], of “virtual” content (“When we have the premise which results in a
certain conclusion, we also have this conclusion virtually [dunamei (δυνάμει)]
in the premise, even if it is not explicitly indicated [kan kat’ ekphoran mê
legetai (ϰἂν ϰατ̕ ἐϰφοϱὰν μὴ λέγεται)], Sextus Empiricus, Against the
Grammarians 8.229ff., D. L. Blank, 49 = RT: Long and Sedley, G36 (4), 2:219 and
1:209)—where connecting the different usages of “implication” creates new
problems. One has to understand that the type of implicatio represented by the proposition
conditionalis implies, in the double usage of “contains implicitly” and “has as
its consequence,” the entire Stoic system. It is a matter of to akolouthon en
zôêi [τὸ ἀϰόλουθον ἐν ζωῇ], “consequentiality in life,” or ‘rational life, as
Grice prefers, as Long and Sedley translate it (Stobeus 2.85.13 = RT: Long and
Sedley, 59B, 2:356; Cicero prefers “congruere,” (congruential) De finibus 3.17
= RT: Long and Sedley, 59D, 2:356). It is akolouthia [ἀϰολουθία] that refers to
the conduct con-sequent upon itself that is the conduct of the wise man, the
chain of causes defining will or fate, and finally the relationship that joins
the antecedent to the con-sequent in a true proposition. Goldschmidt, having
cited Bréhier (Le système stoïcien), puts the emphasis on antakolouthia
[ἀνταϰολουθία], a Stoic neologism that may be translated as “reciprocal”
implicatio,” and that refers specifically to the solidarity of virtues
(antakolouthia tôn aretôn [ἀνταϰολουθία τῶν ἀϱετῶν], Diog. Laert. 7.125;
Goldschmidt, as a group that would be encompassed by dialectical virtue,
immobilizing akolouthia in the absolute present of the wise man. “Implicatio”
is, in the final analysis, from then on, the most literal name of the Stoic system.
Refs.: Aristotle. Anal. Pr.. ed. H. Tredennick, in Organon, Harvard; Goldschmidt, Le système
stoïcien et l’idée de temps. Paris: Vrin, Sextus Empiricus. Against the
Grammarians, ed. D. L. Blank. Oxford: Oxford. END OF INTERLUDE. Now for
“Implication”/“Implicaturum.” Implicatura was used by Sidonius in a letter
(that Grice found funny) and used by Grice in seminars on conversational
helpfulness at Oxford. Grice sets out the basis of a systematic approach to
communication, viz, concerning the relation between a proposition p and a
proposition q in a conversational context. The need is felt by Sidonius and
Grice for ‘implicaturum,’ tdistinct from “implication,” insofar as
“implication” is used for a relation between a proposition p and a proposition
q, whereas an “implicaturum” is a relation between this or that statement,
within a given context, that results from an EMISSOR having utterered an
utterance (thereby explicitly conveying that p) and thereby implicitly
conveying and implicating that q. Grice thought the distinction was ‘frequently
ignored by Austin,’ and Grice thought it solved a few problems, initially in G.
A. Paul’s neo-Wttigensteinian objections to Price’s causal theory of perception
(“The pillar box seems red to me; which does not surprise me, seeing that it is
red”). An “implication” is a relation
bearing on the truth or falsity of this or that proposition (e. g. “The pillar
box seems red” and, say, “The pillar box MAY NOT be red”) whereas an “implicaturum”
brings an extra meaning to this or that statement it governs (By uttering “The
pillar box seems red” thereby explicitly conveying that the pillar box seems
red, the emissor implicates in a cancellable way that the pillar box MAY NOT be
red.”). Whenever “implicaturum” is determined according to its context (as at
Collections, “Strawson has beautiful handwriting; a mark of his character. And
he learned quite a bit in spite of the not precisely angelic temperament of his
tutor Mabbott”) it enters the field of pragmatics, and therefore has to be
distinguished from a presupposition. Implicatio simpliciter is a relation
between two propositions, one of which is the consequence of the other (Quine’s
example: “My father is a bachelor; therefore, he is male”). An equivalent of “implication”
is “entailment,” as used by Moore. Now, Moore was being witty. ‘Entail’ is
derived from “tail” (Fr. taille; ME entaill or entailen = en + tail), and prior
to its logical use, the meaning of “entailment” is “restriction,” “tail” having
the sense of “limitation.” As Moore explains in his lecture: “An entailment is
a limitation on the transfer or handing down of a property or an inheritance.
*My* use of ‘entailment’ has two features in common with the Legalese that
Father used to use; to wit: the handing down of a property; and; the limitation
on one of the poles of this transfer. As I stipulate we should use “entailment”
(at Cambridge, but also at Oxford), a PROPERTY is transferred from the
antecedent to the con-sequent. And also, normally in semantics, some LIMITATION
(or restriction, or ‘stricting,’ or ‘relevancing’) on the antecedent is
stressed.” The mutation from the legalese to Moore’s usage explicitly occurs by
analogy on the basis of these two shared common elements. Now, Whitehead had
made a distinction between a material (involving a truth-value) implication and
formal (empty) implication. A material implication (“if,” symbolized by the
horseshoe “ ⊃,”
because “it resembles an arrow,” Whitehead said – “Some arrow!” was Russell’s
response) is a Philonian implication as defined semantically in terms of a
truth-table by Philo of Megara. “If p, q” is false only when the antecedent is
true and the con-sequent false. In terms of a formalization of communication,
this has the flaw of bringing with it a counter-intuitive feeling of
‘baffleness’ (cf. “The pillar box seems red, because it is”), since a false
proposition implies materially any proposition: If the moon is made of green
cheese, 2 + 2 = 4. This “ex falso quodlibet sequitur” has a pedigreed history.
For the Stoics and the Megarian philosophers, “ex falso quodlibet sequitur” is
what distinguishes Philonian implication and Diodorean implication. It
traverses the theory of consequence and is ONE of the paradoxes of material
implication that is perfectly summed up in these two rules of Buridan: First,
if P is false, Q follows from P; Second, if P is true, P follows from Q (Bochenski,
History of Formal Logic). A formal (empty) implication (see Russell, Principles
of Mathematics, 36–41) is a universal conditional implication: Ɐx (Ax ⊃ Bx), for any x, if Ax,
then Bx. Different means of resolving the paradoxes of implication have been
proposed. All failed except Grice’s. An American, C. I. Lewis’s “strict”
implication (Lewis and Langford, Symbolic Logic) is defined as an implication
that is ‘reinforced’ such that it is impossible for the antecedent to be true
and the con-sequent false. Unfortunately, as Grice tells Lewis in a
correspondence, “your strict implication, I regret to prove, has the same alleged
flaw as the ‘material’ implication that your strict implication was meant to
improve on. (an impossible—viz., necessarily false—proposition strictly implies
any proposition). The relation of entailment introduced by Moore in 1923 is a
relation that seems to avoid this or that paradox (but cf. Grice, “Paradoxes of
entailment, followed by paradoxes of implication – all conversationally
resolved”) by requiring a derivation of the antecedent from the con-sequent. In
this case, “If 2 + 2 = 5, 2 + 3 = 5” is false, since the con-sequent is
stipulated not be derivable from the antecedent. Occasionally, one has to call
upon the pair “entailment”/“implication” in order to distinguish between an
implication in qua material implication and an implication in Moore’s usage
(metalinguistic – the associated material implication is a theorem), which is
also sometimes called “relevant” if not strictc implication (Anderson and
Belnap, Entailment), to ensure that the entire network of expressions is
covered. Along with this first series of expressions in which “entailment” and
“implication” alternate with one another, there is a second series of
expressions that contrasts two kinds of “implicaturum,” or ‘implicatura.’ “Implicaturum”
(Fr. implicaturum, G. Implikatur) is formed from “implicatio” and the suffix
–ture, which expresses, as Grice knew since his Clifton days, a ‘resultant
aspect,’ ‘aspectum resultativus’ (as in “signature”; cf. L. temperatura, from
temperare). “Implicatio” may be thought
as derived from “to imply” (if not ‘employ’) and “implicaturum” may be thought
as deriving from “imply”’s doulet, “to implicate” (from L. “in-“ + “plicare,”
from plex; cf. the IE. plek), which has the same meaning. Some mistakenly see
Grice’s “implicaturum” as an extension and modification of the concept of
presupposition, which differs from ‘material’ implication in that the negation
of the antecedent implies the consequent (the question “Have you stopped
beating your wife?” presupposes the existence of a wife in both cases). An implicaturum
escapes the paradoxes of material implication from the outset. In fact, Grice,
the ever Oxonian, distinguishes “at least” two kinds of implicaturum,
conventional and non-conventional, the latter sub-divided into non-conventional
non-converastional, and non-conventional conversational. A non-conventional
non-conversational implicaturum may occur in a one-off predicament. A Conventional
implicaturum and a conventional implicaturum is practically equivalent,
Strawson wrongly thought, to presupposition prae-suppositum, since it refers to
the presuppositions attached by linguistic convention to a lexical item or
expression. E. g. “Mary EVEN loves
Peter” has a relation of conventional implicaturum to “Mary loves other
entities than Peter.” This is equivalent to: “ ‘Mary EVEN loves Peter’
presupposes ‘Mary loves other entities than Peter.’ With this kind of implicaturum,
we remain within the expression, and thus the semantic, field. A conventional implicaturum,
however, is surely different from a material implicatio. It does not concern
the truth-values. With conversational implicaturum, we are no longer dependent
on this or that emissum, but move into pragmatics (the area that covers the
relation between statements and contexts. Grice gives the following example:
If, in answer to A’s question about how C is getting on in his new job at a
bank, B utters, “Well, he likes his colleagues, and he hasn’t been to in prison
yet,” what B implicates by the proposition that it is not the case that C has
been to prison yet depends on the context. It compatible with two very different
contexts: one in which C, naïve as he is, is expected to be entrapped by
unscrupulous colleagues in some shady deal, or, more likely, C is well-known by
A and B to tend towards dishonesty (hence the initial question). References: Abelard,
Peter. Dialectica. Edited by L. M. De Rijk. Assen, Neth.: Van Gorcum, 1956. 2nd
rev. ed., 1970. Glossae super Periermeneias. Edited by Lorenzo Minio-Paluello.
In TwelfthCentury Logic: Texts and Studies, vol. 2, Abelaerdiana inedita. Rome:
Edizioni di Storia e Letteratura, 1958. Anderson, Allan Ross, and Nuel Belnap.
Entailment: The Logic of Relevance and Necessity. Vol. 1. Princeton, NJ: Princeton
University Press, 1975. Aristotle. De interpretatione. English translation by
J. L. Ackrill: Aristotle’s Categories and De interpretatione. Notes by J. L.
Ackrill. Oxford: Clarendon, 1963. French translation by J. Tricot: Organon.
Paris: Vrin, 1966. Auroux, Sylvain, and Irène Rosier. “Les sources historiques
de la conception des deux types de relatives.” Langages 88 (1987): 9–29. Bochenski,
Joseph M. A History of Formal Logic. Translated by Ivo Thomas. New York: Chelsea,
1961. Boethius. Aristoteles latinus. Edited by Lorenzo Minio-Paluello. Paris:
Descleé de Brouwer, 1965. Translation by Lorenzo Minio-Paluello: The Latin
Aristotle. Toronto: Hakkert, 1972. Commentarii in librum Aristotelis Peri
hermêneias. Edited by K. Meiser. Leipzig: Teubner, 1877. 2nd ed., 1880. De
Rijk, Lambertus Marie. Logica modernorum: A Contribution to the History of
Early Terminist Logic. 2 vols. Assen, Neth.: Van Gorcum, 1962–67. “Some Notes on the Mediaeval Tract De
insolubilibus, with the Edition of a Tract Dating from the End of the
Twelfth-Century.” Vivarium 4 (1966): 100–103. Giusberti, Franco. Materials for
a Study on Twelfth-Century Scholasticism. Naples, It.: Bibliopolis, 1982.
Grice, H. P. “Logic and Conversation.” In Syntax and Semantics 3: Speech Acts,
edited by P. Cole and J. Morgan, 41–58. New York: Academic Press, 1975. (Also
in The Logic of Grammar, edited by D. Davidson and G. Harman, 64–74. Encino,
CA: Dickenson, 1975.) Lewis, Clarence Irving, and Cooper Harold Langford.
Symbolic Logic. New York: New York Century, 1932. Meggle, Georg. Grundbegriffe
der Kommunikation. 2nd ed. Berlin: De Gruyter, 1997. Meggle, Georg, and
Christian Plunze, eds. Saying, Meaning, Implicating. Leipzig: Leipziger
Universitätsverlag, 2003. Moore, G. E.. Philosophical Studies. London: Kegan
Paul, 1923. Rosier, I. “Relatifs et relatives dans les traits terministes des
XIIe et XIIIe siècles: (2) Propositions relatives (implicationes), distinction
entre restrictives et non restrictives.” Vivarium 24: 1 (1986): 1–21. Russell,
Bertrand. The Principles of Mathematics. Cambridge: Cambridge University Press,
1903. implication, a relation that holds between two statements when the truth
of the first ensures the truth of the second. A number of statements together
imply Q if their joint truth ensures the truth of Q. An argument is deductively
valid exactly when its premises imply its conclusion. Expressions of the
following forms are often interchanged one for the other: ‘P implies Q’, ‘Q
follows from P’, and ‘P entails Q’. (‘Entailment’ also has a more restricted
meaning.) In ordinary discourse, ‘implication’ has wider meanings that are
important for understanding reasoning and communication of all kinds. The
sentence ‘Last Tuesday, the editor remained sober throughout lunch’ does not
imply that the editor is not always sober. But one who asserted the sentence
typically would imply this. The theory of conversational implicaturum explains
how speakers often imply more than their sentences imply. The term
‘implication’ also applies to conditional statements. A material implication of
the form ‘if P, then Q’ (often symbolized ‘P P Q’ or ‘P / Q’) is true so long
as either the if-clause P is false or the main clause Q is true; it is false
only if P is true and Q is false. A strict implication of the form ‘if P, then
Q’ (often symbolized ‘P Q’) is true exactly when the corresponding material
implication is necessarily true; i.e., when it is impossible for P to be true
when Q is false. The following valid forms of argument are called paradoxes of
material implication: Q. Therefore, P / Q. Not-P. Therefore, P / Q. The
appearance of paradox here is due to using ‘implication’ as a name both for a
relation between statements and for statements of conditional form. A
conditional statement can be true even though there is no relation between its
components. Consider the following valid inference: Butter floats in milk.
Therefore, fish sleep at night / butter floats in milk. Since the simple
premise is true, the conditional conclusion is also true despite the fact that
the nocturnal activities of fish and the comparative densities of milk and
butter are completely unreimmediate inference implication 419 4065h-l.qxd
08/02/1999 7:39 AM Page 419 lated. The statement ‘Fish sleep at night’ does not
imply that butter floats in milk. It is better to call a conditional statement
that is true just so long as it does not have a true if-clause and a false main
clause a material conditional rather than a material implication. Strict
conditional is similarly preferable to ‘strict implication’. Respecting this
distinction, however, does not dissolve all the puzzlement of the so-called
paradoxes of strict implication: Necessarily Q. Therefore, P Q. Impossible that
P. Therefore, P Q. Here is an example of the first pattern: Necessarily, all
rectangles are rectangles. Therefore, fish sleep at night all rectangles are
rectangles. ‘All rectangles are rectangles’ is an example of a vacuous truth,
so called because it is devoid of content. ‘All squares are rectangles’ and ‘5
is greater than 3’ are not so obviously vacuous truths, although they are
necessary truths. Vacuity is not a sharply defined notion. Here is an example
of the second pattern: It is impossible that butter always floats in milk yet
sometimes does not float in milk. Therefore, butter always floats in milk yet
sometimes does not float in milk fish sleep at night. Does the if-clause of the
conclusion imply (or entail) the main clause? On one hand, what butter does in
milk is, as before, irrelevant to whether fish sleep at night. On this ground,
relevance logic denies there is a relation of implication or entailment. On the
other hand, it is impossible for the if-clause to be true when the main clause
is false, because it is impossible for the if-clause to be true in any
circumstances whatever. Speranza, Luigi. Join the Grice Club! Strawson, P. F.. “On
Referring.” Mind 59 (1950): 320–44.
impositum: “An apt term by
Boezio,” Grice. There’s preposition, proposition, supposition, and imposition! a
property of terms resulting from a convention to designate something. A term is
not a mere noise but a significant sound. A term designating extralinguistic
entities, such as ‘tree’, ‘stone’, ‘blue’, and the like, are classified by the
tradition since Boethius as terms of “prima impositio,” first imposition. A
term designating another term or other communicative items, such as ‘noun’, ‘declension’,
and the like, is classified as terms of ‘secunda imposition.’ The distinction
between a terms of ‘prima impositio’ and ‘secunda impositio’ belongs to the
realm of the communicatum, while the parallel distinction between terms of first
and second ‘intentio’ belongs to the realm of the animatum A ‘prima intentio’
(intentio re re), frst intention is, broadly, thoughts about trees, stones,
colours, etc. A ‘intentio secunda,’ (intention de sensu), second intention, is a
thought about a first intention. Refs.: H. P. Grice, “De sensu implicaturum.”
prædicatum:
Grice
on the praedicatum/impraedicatum distinction – an impredicative definition is
the definition of a concept in terms of the totality to which it belongs. Whitehead
and Russell, in their “Principia Mathematica” introduce ‘im-predicative’
(earlier, ‘non-predicative,’ which Grice prefers) prohibiting an impredicative definition
from conceptual analysis, on the grounds that an impredicative definition
entails (to use Moore’s jargon) a paradox – which Grice loves. An impredicative
definition of the set R of all sets that are not members of themselves leads to
the self-contradictory conclusion that R is a member of itself if and only if
it is not a member of itself. In Grice’s rewrite: “Austin’s paradoxical dream
was to create a ‘class’ each of whose member was such that his class had no
other member.” To avoid an antinomy of this kind in the formalization of logic,
Whitehead and Russell first implement in their ramified type theory the vicious
circle principle, that no whole (totum) may contain parts (pars) that are
definable only in terms of that whole (totum). The limitation of ramified type
theory is that without use of an impredicative definition it is impossible to
quantify over every item, but only over every item of a certain order or type.
Without being able to quantify over every item generally, many of the most
important definitions and theorems of classical philosophy cannot be
formulated. Whitehead and Russell for this reason later abandoned ramified in
favour of simple type theory, which avoids a logical paradox without outlawing an
impredicative definition by forbidding the predication of terms of any type
(object, property and relation, higher-order propertiy and relations of
properties and relations, etc.) to terms of the same type.
correctum: there’s‘corrigibility’ (=
correctum) and ‘incorrigibility’ – “The implicaturum is that something
is incorrigibile it cannot be corrected – but Chisholm never explies ‘by
whom’”! (Grice uses ‘exply’ as opposite of ‘imply’). Who is corrigible? The emissor. “I am sorry I
have to tell you you are wrong.” On WoW: 142, Grice refers to the ‘authority’
of the utterer as a ‘rational being’ to DEEM that an M-intention is an
antecedent condition for his act of meaning. Grice uses ‘privilege’ as synonym
for ‘authority’ here. But not in the phrase ‘privileged access.’ His point is
not so much about the TRUTH (which ‘incorrigibility’ suggests), but about the
DEEMING. It is part of the authority or privilege of the utterer as rational to
provide an ACCEPTABLE assignment of an M-intention behind his utterance.
commensuratum:
There’s commensurability and there’s
incommensurability – “But Protagoras never explies what makes man commensurable
– only implies it!” In the philosophy of science, the property exhibited by two
scientific theories provided that, even though they may not logically
contradict one another, they have reference to no common body of data.
Positivist and logical empiricist philosophers of science like Carnap had long
sought an adequate account of a theoryneutral language to serve as the basis
for testing competing theories. The predicates of this language were thought to
refer to observables; the observation language described the observable world
or (in the case of theoretical terms) could do so in principle. This view is
alleged to suffer from two major defects. First, observation is infected with
theory – what else could specify the meanings of observation terms except the
relevant theory? Even to perceive is to interpret, to conceptualize, what is
perceived. And what about observations made by instruments? Are these not
completely constrained by theory? Second, studies by Kuhn, Paul Feyerabend, and
others argued that in periods of revolutionary change in science the adoption
of a new theory includes acceptance of a completely new conceptual scheme that
is incommensurable with the older, now rejected, theory. The two theories are
incommensurable because their constituent terms cannot have reference to a
theory-neutral set of observations; there is no overlap of observational
meaning between the competitor theories; even the data to be explained are
different. Thus, when Galileo overthrew the physics of Aristotle he replaced
his conceptual scheme – his “paradigm” – with one that is not logically
incompatible with Aristotle’s, but is incommensurable with it because in a
sense it is about a different world (or the world conceived entirely
differently). Aristotle’s account of the motion of bodies relied upon occult
qualities like natural tendencies; Galileo’s relied heavily upon contrived
experimental situations in which variable factors could be mathematically
calculated. Feyerabend’s even more radical view is that unless scientists
introduce new theories incommensurable with older ones, science cannot possibly
progress, because falsehoods will never be uncovered. It is an important
implication of these views about incommensurability that acceptance of theories
has to do not only with observable evidence, but also with subjective factors,
social pressures, and expectations of the scientific community. Such acceptance
appears to threaten the very possibility of developing a coherent methodology
for science.
consistens:
“There’s
consistens, and there’s inconsistens.” – H. P. Grice. The inconsistent triad, most
generally, any three propositions such that it cannot be the case that all
three of them are true. More narrowly, any three categorical propositions such
that it cannot be the case that all three of them are true. A categorical
syllogism is valid provided the three propositions that are its two premises
and the negation (contradiction) of its conclusion are an inconsistent triad;
this fact underlies a test for the validity of categorical syllogisms, which
test are thus called by Grice the “method of” the inconsistent triad.
dependens-
independens distinction, the: independence results, proofs of non-deducibility.
Any of the following equivalent conditions may be called independence: (1) A is
not deducible from B; (2) its negation - A is consistent with B; (3) there is a
model of B that is not a model of A; e.g., the question of the non-deducibility
of the parallel axiom from the other Euclidean axioms is equivalent to that of
the consistency of its negation with them, i.e. of non-Euclidean geometry.
Independence results may be not absolute but relative, of the form: if B is
consistent (or has a model), then B together with - A is (or does); e.g. models
of non-Euclidean geometry are built within Euclidean geometry. In another
sense, a set B is said to be independent if it is irredundant, i.e., each hypothesis
in B is independent of the others; in yet another sense, A is said to be
independent of B if it is undecidable by B, i.e., both independent of and
consistent with B. The incompleteness theorems of Gödel are independence
results, prototypes for many further proofs of undecidability by subsystems of
classical mathematics, or by classical mathematics as a whole, as formalized in
ZermeloFraenkel set theory with the axiom of choice (ZF ! AC or ZFC). Most
famous is the undecidability of the continuum hypothesis, proved consistent
relative to ZFC by Gödel, using his method of constructible sets, and
independent relative to ZFC by Paul J. Cohen, using his method of forcing.
Rather than build models from scratch by such methods, independence
(consistency) for A can also be established by showing A implies (is implied by
) some A* already known independent (consistent). Many suitable A* (Jensen’s
Diamond, Martin’s Axiom, etc.) are now available. Philosophically, formalism
takes A’s undecidability by ZFC to show the question of A’s truth meaningless;
Platonism takes it to establish the need for new axioms, such as those of large
cardinals. (Considerations related to the incompleteness theorems show that
there is no hope even of a relative consistency proof for these axioms, yet
they imply, by way of determinacy axioms, many important consequences about
real numbers that are independent of ZFC.) With non-classical logics, e.g.
second-order logic, (1)–(3) above may not be equivalent, so several senses of
independence become distinguishable. The question of independence of one axiom
from others may be raised also for formalizations of logic itself, where
many-valued logics provide models.
determinatum: There’s the determinatum and there’s the indeeterminatum –
“And then there’s ‘indeterminacy.”” “A determinatum is like a definitum, in
that a ‘term’ is like the ‘end’ – “Thus, I am a Mercian, from Harborne.” “The
Mericans were thus called because the lived at the end of England.” “Popper,
who doesn’t know the first thing about this, prefers, ‘demarcatum’, which is
cognate with “mercian.’” Grice was always cautious and self-apologetic. “I’m
not expecting that you’ll find this to be a complete theory of implication, but
that was not my goal, and the endeavour should be left for another day, etc.”
But consider the detail into which he, like any other philosopher before, went
when it came to what he called the ‘catalyst’ tests or ideas or tests or ideas
for the implicaturum. In “Causal Theory” there are FOUR ideas. It is good to
revise the treatment in “Causal.” He proposes two ideas with the first two
examples and two further ideas with the two further examples. Surely his goal
is to apply the FOUR ideas to his own example of the pillar box. Grice notes
re: “You have not ceased eating iron” – the cxample is “a stock case of what is
sometimes called " prcsupposition " and it is often held that here
1he truth of what is irnplicd is a necessary condition of the original
statement's beirrg cither true or false.” So the first catalyst in the first
published version concerns the value, or satisfactory value. This will be
retained and sub-grouped in Essay II. “It is often held” Implicture: but often
not, and trust me I won’t. “that here the truth of what is implied [implicated
in the negative, entailed in the affirmative] is a necessary condition of the
original statement's being either true or false.” So the first catalyst in the
first published version concerns the value, or satisfactory value. This will be
retained and sub-grouped in Essay II. “This might be disputed, but it is at least
arguable that it is so, and its being arguable might be enough to distinguish this
type of case from others.” So he is working on a ‘distinctive feature’ model.
And ‘feature’ is exactly the expression he uses in Essay II. He is looking for
‘distinctive features’ for this or that implication. When phonologists speak of
‘distinctive feature’ they are being philosophical or semioticians.“I shall
however for convenience assume that the common view mentioned is correct.”“This
consideration clearly distinguishes “you have not ceased eating iron” from [a
case of a conventional implicaturum] “poor BUT honest.”“Even if the implied
proposition were false, i.e. if there were no reason in the world to contrast
poverty with honesty either in general or in her case, the original statement
COULD still be false.” “She [is] poor
but she [is] honest” would be false if for example she were rich and dishonest.”“One
might perhaps be less comfortable about assenting to its TRUTH if the implied
contrast did not in fact obtain; but the possibility of falsity is enough for
the immediate purpose.”“My next experiment [test, litmus idea – that he’ll
apply as one of the criteria to provide distinctive features for this or that implicaturum,
with a view to identify the nature of the animal that a conversational implicaturum
is] on these examples is to ask what it is in each case which could properly be
said to be the vehicle of implication (to do the implying).”In Essay II, since
he elaborates this at an earlier stage than when he is listing the distinctive
features, he does not deal much. It is understood that in Essay II by the time
he is listing the distinctive features, the vehicle is the UTTERER. But back in
“Causal,” he notes: “There are AT LEAST FOUR candidates, not necessarily
mutually exclusive.”“Supposing someone to have ‘uttered’ one or other of [the] sample
sentences, we may ask whether the vehicle of implication would be (FIRST) WHAT
the emissor communicated (or asserted or stated or explicitly conveyed), or
(SECOND) the emissor himself ("Surely you’re not implying that ….’ ) or (THIRD) the
utterance (FOURTH) his communicating, or
explicitly conveying that (or again his explicitly conveying that in that way);
or possibly some plurality of these items.”“As regards the first option for the
vehicle, ‘what the emissor has explicitly conveyed,’ Grice takes it that “You
have not ceased eating iron” and “Poor but honest” may differ.It seems correct
for Grice to say in the case of “eating iron” that indeed it is the case that
it is what he emissor explicitly conveys which implies that Smith has been
eating iron.On the other hand, Grice feels it would be ‘incorrect,’ or
improper, or bad, or unnatural or artificial, to say in the case of “poor but
honest” that it is the case. Rather it is NOT the case that it is WHAT the emissor explicitly conveys
which implies that there is a contrast between, e. g., honesty and poverty.”“A sub-test
on which Grice would rely is the following.If accepting that the conventional implicaturum
holds (contrast between honesty and poverty) involves the emissor in accepting
an hypothetical or conditional ‘if p, q,’ where 'p’ represents the original
statement (“She [is] poor and she [is] honest) and 'q' represents what is
implied (“There is a contrast between honesty and poverty”), it is the case
that it is what the emissor explicitly conveys which is a (or the) vehicle of
implication. If that chain of acceptances does not hold, it is not. To apply
this rule to the “eat iron” and “poor but honest”, if the emissor accepts the
implication alleged to hold in the case of “eat iron”, I should feel COMPELLED
(forced, by the force of entailment) to accept the conditional or hypothetical
"If you have not ceased eating iron, you may have never started.”[In
“Causal,” Grice has yet not stressed the asymmetry between the affirmative and
the negative in alleged cases of presupposition. When, due to the success of
his implicaturum, he defines the presuppositum as a form of implicaturum, he
does stress the asymmetry: the entailment holds for the affirmative, and the implicaturum
for the negative). On the other hand, when it comes to a CONVENTIONAL implicaturum
(“poor but honest”) if the emissor accepted the alleged implication in the case
of “poor but honest”, I should NOT feel compelled to accept the conditional or
hypothetical "If she was poor but honest, there is some contrast between
poverty and honesty, or between her poverty and her honesty." Which would
yield that in the presuppositum case, we have what is explicitly conveyed as a
vehicle, but not in the case of the conventional implicaturum.The rest of the
candidates (Grice lists four and allows for a combination) can be dealt with
more cursorily.As regards OPTION II (second):Grice should be inclined to say
with regard to both “eat iron” and “poor but honest” that the emissor could be
said to have implied whatever it is that is irnplied.As regards Option III
(third: the utterance): In the case of “poor but honest” it seems fairly clear
that the utterance could be said, if metabolically, and animistically, to
‘imply’ a contrast.It is much less clear whether in the case of “eat iron” the
utterance could be said to ‘imply’ that Smith has been eating iron.As for
option IV, in neither case would it be evidently appropriate (correct, natural)
to speak of the emissor’s explicitly conveying that, or of his explicitly
conveying that in that way, as ‘implying’ what is implied. A third catalyst
idea with which Grice wish to assail my two examples is really a TWIN idea, or
catalyst, or test [That’s interesting – two sides of the same coin] that of the
detachability or cancellability of the implication. Consider “eat iron.”One
cannot find an alternative utterance which could be used to assert explicitly
just what the utterance “Smith has not ceased from eating iron" might be
used to convey explicitly, such that when this alternative utterance is used
the implication that Smith never started eating iron is absent. Any way of (or
any utterance uttered with a view to) conveying explicitly what is explicitly
conveyed in (1) involves the implication in question. Grice expresses this fact
– which he mentioned in seminars, but this is the first ‘popularisation’ -- by
saying that in the case of (l) the implication is NOT detachable FROM what is
asserted (or simpliciter, is not detachable). Furthermore, and here comes the
twin of CANCELLABILITY: one cannot take any form of words for which both what
is asserted and what is implied is the same as for (l), AND THEN ADD a further
clause withholding commitment from what would otherwise be implied, with the
idea of ANNULLING THE IMPLICATURUM *without* ANNULLING annulling the
EXPLICITUM. One cannot intelligibly say
" Smith has left off beating his wife but I do not mean to imply that he
has been beating her." But one surely can intelligibly say, “You have not
ceased eating iron because you never started.”While Grice uses “Smith,” the
sophisma (or Griceisma) was meant in the second person, to test the tutee’s
intelligence (“Have you stopped beating your dog?”). The point is that the
tutee will be offended – whereas he shouldn’t, and answer, “I never started,
and I never will.”Grice expresses this fact by saying that in the case of ‘eat
iron’ the implication is not cancellable or annullable (without cancelling or
annulling the assertion). If we turn to “poor but honest” we find, Grice thinks,
that there is quite a strong case for saying that here the implication IS
detachable. Therc sccms quite a good case for maintaining that if, instead of
saying " She is poor but she is honcst " I were to say, alla Frege,
without any shade, " She is poor AND she is honcst", I would assert
just what I would havc asscrtcct ii I had used thc original senterrce; but
there would now be no irnplication of a contrast between e.g', povery and
honesty. Of course, this is not a philosophical example, and it would be good
to revise what Frege thought about ‘aber.’ By the time Grice is lecturing
“Causal Theory” he had lectured for the Logic Paper for Strawson before the
war, so Whitehead and Russell are in the air.Surely in Anglo-Saxon, the contrast
is maintained, since ‘and’ means ‘versus.’“She is poor contra her being
honest.”Oddly, the same contrariety is present in Deutsche, that Frege speaks,
with ‘UND.”It’s different with Roman “et.” While Grecian ‘kai,’ even Plato
thought barbaric!The etymology of ‘by-out’ yields ‘but.’So Grice is thinking
that he can have a NEUTRAL conjoining – but ‘and’ has this echo of contrariety,
which is still present in ‘an-swer, i. e. and-swear, to contradict. Perhaps a
better neutral version would be. Let’s start with the past version and then the
present tense version.“She was pooo-ooor, she was honest, and her parents were
the same, till she met a city feller, and she lost her honest name.”In terms of
the concepts CHOSEN, the emissor wants to start the ditty with pointing to the
fact that she is poor – this is followed by stating that she is honest. There’s
something suspicious about that.I’m sure a lady may feel offended without the
‘and’ OR ‘but’ – just the mere ‘succession’ or conjoining of ‘poor’ as
pre-ceding the immediate ‘honest’ ‘triggers’ an element of contrast. The
present tense seems similar: “She is poooor, she is honest, and her parents are
the same, but she’ll meet a city feller, and she’ll lose her honest name.”The
question whether, in thre case of ‘poor but honest,’ the implication is cancellable,
is slightly more cornplex, which shouldn’t if the catalysts are thought of as
twins.There is a way in which we may say that it is not cancellable, or
annullable.Imagine a Tommy marching and
screaming: “She is poor but she is honest,”“HALT!” the sargent shouts.The Tommy
catches the implicaturum:“though of course, sir, I do not mean to imply, sir, that
there is any contrast, sir, between her poverty, sir, and her honesty, sir.”As
Grice notes, this would be a puzzling and eccentric thing for a Tommy to engage
in.And though the sargent might wish to quarrel with the tommy (Atkins – Tommy
Atkins is the name”), an Oxonian philosopher should NOT go so far as to say
that the tommy’s utterance is unintelligible – or as Vitters would say,
‘nunsense.’The sargent should rather suppose, or his lieutenant, since he knows
more, that private Tommy Atkins has adopted a “most pecooliar” way of conveying
the news that she was poor and honest.The sargent’s argument to the lieu-tenant:“Atkins
says he means no disrespect, sir, but surely, sir, just conjoining poverty and
honesty like that makes one wonder.”“Vitters: this is a Cockney song! You’re
reading too much into it!”“Cockney? And why the citty feller, then – aren’t
Cockneys citty fellers. I would rather, sir, think it is what Sharp would call
a ‘sharp’ folk, sir, song, sir.’ The fourth and last test Grice imposes on his
examples is to ask whether we would be inclined to regard the fact that the
appropriate (or corresponding, since they are hardly appropriate – either of
them! – Grice changes the tune as many Oxford philosophers of ordinary language
do when some female joins the Union) implication is present as being a matter
of the, if we may be metabolic and animistic, ‘meaning’ of some particular word
or phrase occurring in the sentences in question. Grice is aware and thus
grants that this may not be always a very clear or easy question to answer.Nevertheless,
Grice risks the assertion that we would be fairly happy and contented to say
that, as regards ‘poor but honest,’ the fact that the implication obtains is a
matter of the ‘meaning’ of 'but ' – i. e. what Oxonians usually mean when they
‘but.’So far as “he has not ceased from…’ is concerned we should have at least
some inclination to say that the presence of the implication is a matter of
the, metabolically, ‘meaning’ of some of the words in the sentence, but we
should be in some difficulty when it came to specifying precisely which this
word, or words are, of which this is true. Well, it’s semantics. Why did Roman
think that it was a good thing to create a lexeme, ‘cease.’“Cease” means
“stop,” or ‘leave off.”It is not a natural verb, like ‘eat.’A rational creature
felt the need to have this concept: ‘stop,’ ‘leave off,’ ‘cease.’The
communication-function it serves is to indicate that SOMETHING has been taken
place, and then this is no longer the case.“The fire ceased,” one caveman said
to his wife.The wife snaps back – this is the Iron Age:“Have you ceased eating
iron, by the way, daa:ling?”“I never started!”So it’s the ‘cease’ locution that
does the trick – or equivalents, i.e. communication devices by which this or
that emissor explicitly convey more or less the same thing: a halting of some
activity.Surely the implication has nothing to do with the ‘beat’ and the
‘wife.’After third example (‘beautiful handwriting) introduced, Grice goes back
to IDEA OR TEST No. 1 (the truth-value thing). Grice notes that it is plain
that there is no case at all for regarding the truth of what is implied here (“Strawson
is hopeless at philosophy”) as a pre-condition of the truth or falsity of what
the tutor has asserted.A denial of the truth of what is implied would have no
bearing at all on whether what I have asserted is true or false. So ‘beautiful
handwring’ is much closer to ‘poor but honest’ than ‘cease eating iron’ in this
respect. Next, as for the vehicle we have the at least four options and
possible combinations.The emissor, the tutor, could certainly be said to have
implied that Strawson is hopeless (provided that this is what the tutor
intended to ‘get across’) and the emissor’s, the tutor’s explicitly saying that
(at any rate the emissor’s saying that and no more) is also certainly a vehicle
of implication. On the other hand the emissor’s words and what the emissor
explicitly conveys are, Grice thinks, not naturally here characterised as the
‘vehicle’ of implication. “Beautiful handwriting” thus differs from BOTH “don’t
cease eating iron” and “poor but honest” – so the idea is to have a table alla
distinctive features, with YES/NO questions answered for each of the four
implication, and the answers they get.As for the third twin, the result is as
expected: The implication is cancellable but not detachable. And it looks as if
Grice created the examples JUST to exemplify those criteria.If the tutor adds, 'I
do not of course mean to imply that Strawson is no good at philosophy” the
whole utterance is intelligible and linguistically impeccable, even though it
may be extraordinary tutorial behaviour – at the other place, not Oxford --.The
tutor can no longer be said to have, or be made responsible for having implied
that Strawson was no good, even though perhaps that is what Grice’s colleagues might
conclude to be the case if Grice had nothing else to say. The implication is
not however, detachable.Any other way of making, in the same context of
utterance, just the assertion I have made would involve the same implication.“His
calligraphy is splendid and he is on time.”“Calligraphy splendid,” Ryle
objected. “That’s slightly oxymoronic, Grice – ‘kallos agathos’”Finally, for
TEST No. 4, ‘meaning’ of expression? The fact that the implication holds is surely
NOT a matter of any particular word or phrase within the sentence which I have
uttered.It is just the whole sentence. Had he gone tacit and say,“Beautiful
handwriting!”Rather than“He has beautiful handwriting.”The implication SEEMS to
be a matter of two particular words: the handwriting word, viz. ‘handwriting.’
And the ‘beautiful’ word, i. e. ‘beautiful.’Any lexeme expressing same concept,
‘Calligraphy unique!’would do the trick because this is damn by faint praise,
or suggestio falsi, suppressio veri. So in this respect “Beautiful handwring”
is certainly different from “Poor but honest” and, possibly different from
“Don’t cease to eat iron!”One obvious fact should be mentioned before one
passes to the fourth example (“kitchen or bedroom”).This case of implication is
unlike the others in that the utterance of the sentence "Strawson has
beautiful handwriting" does not really STANDARDLY involve the implication
here attributed to it (but cf. “We should have lunch together sometime” meaning
“Get lost” – as Grice said, “At Oxford, that’s the standard – that’s what the
‘expression’ “means”); it requires a special context (that it should be uttered
at Collections) to attach the implication to its utterance. More generally: it
requires a special scenario (one should avoid the structuralist Derrideian
‘context’ cf. Grice, “The general theory of context”). If back in the house,
Mrs. Grice asks, “He has beautiful handwriting,” while not at Collections, the implicaturum
would hold. Similarly at the “Lamb and Flag,” or “Bird and Baby.”But one gets
Grice’s point. The scenario is one where Strawson is being assessed or
evaluated AS A PHILOSOPHER. Spinoza’s handwriting was, Stuart Hampshire said,
“terrible – which made me wonder at first whether I should actually waste my
time with him.”After fourth and last example is introduced (“kitchen or
bedroom”): in the case of the Test No. I (at least four possible vehicles) one can
produce a strong argument in favour of holding that the fulfllment of the
implication of the speaker's ignorance (or that he is introducing “or” on
grounds other than Whitehead’s and Russell’s truth-functional ones) is not a
precaution (or precondition) of the truth or falsity of the disjunctive
statement. Suppose that the emissor KNOWS that his wife IS in the KITCHEN, that
the house has only two rooms, and no passages. Even though the utterer knows
that his wife is in the kitchen (as per given), the utterer can certainly still
say truly (or rather truthfully) "She is IN THE HOUSE.”SCENARIOA: Where is
your wife? ii. Where in your house is your wife?B: i. In the kitchen. ii. In
the bedroom. iiia. She’s in the house, don’t worry – she’s in the house, last
time I checked. iii. In the HOUSE (but inappropriate if mentioned in the
question – unless answered: She’s not. iv. In the kitchen or in the bedroom (if
it is common ground that the house only has two rooms there are more options)
vi. v. I’m a bachelor. vi. If she’s not
in the bedroom, she is in the kitchen. vii. If she’s not in the kitchen, she’s
in the bedroom. viii. Verbose but informative: “If she’s not in the bedroom
she’s in the kitchen, and she’s not in the kitchen” Or consider By uttering
“She is in the house,” the utterer is answering in a way that he is merely not
being as informative as he could bc if need arose. But the true proposition [cf. ‘propositional
complex’] that his wife is IN THE HOUSE together with the true proposition that
‘THE HOUSE’ consists entirely of a ‘kitchen’ and a ‘bedroom,’ ENTAIL or yield
the proposition that his wife is in the kitchen or in the bedroom. But IF to express
the proposition p (“My wife is in the house, that much I can tell”) in certain
circumstances (a house consisting entirely of a kitchen and a bedroom – an
outback bathroom which actually belongs to the neighbour – cf. Blenheim) would
be to speak truly, and p (“My wife is, do not worry, in the house”) togelher with
another true proposition – assumed to be common ground, that the house consists
entirely of a kitchen and a bedroom -- entails q (“My wife is in the kitchen OR
in the bedroom”), surely to express what is entailed (“My wife is in the
kitchen or in the bedroom”) in the same circvmstances must be, has to be to
speak truly. So we have to take it that
the disjunctive statement – “kitchen or bedroom” -- does not fail to be TRUE or
FALSE if the implied ignorance (or the implied consideration that the utterer
is uttering ‘or’ on grounds other than the truth-functional ones that
‘introduce’ “or” for Gentzen) is in fact not realized, i. e. it is false. Secondly,
as for Test No. 2 (the four or combo vehicles), Grice thinks it is fairly clear
that in this case, as in the case of “beautiful handwriting”, we could say that
the emissor had implies that he did not know (or that his ground is other than
truth-functional – assuming that he takes the questioner to be interested in
the specific location – i. e. to mean, “where IN THE HOUSE is your wife?”) and
also that his conveying explicilty that (or his conveying explicitly that
rather than something else, viz, in which room or where in the house she is, or
‘upstairs,’ or ‘downstairs,’ or ‘in the basement,’ or ‘in the attic,’ ‘went
shopping,’ ‘at the greengrocer’ – ‘she’s been missing for three weeks’) implied
that he did not know in which one of the two selected rooms his wife is
‘resident’ (and that he has grounds other than Gentzen’s truth-functional ones for
the introduction of ‘or.’). Thirdly, the implication (‘kitchen or bedroom’) is
in a way non-detachable, in that if in a given context the utterance of the
disjunctive sentence would involve the implication that the emissor did not
know in which room his his wife was (or strictly, that the emissor is
proceeding along non-truth-functional grounds for the introduction of ‘or,’ or
even more strictly still, that the emissor has grounds other than
truth-functional for the uttering of the disjunction), this implication would
also be involved in the utterance of any other form of words which would make
the same disjunctive assertion (e.g., "Look, knowing her, the alternatives
are she is either preparing some meal in the kitchen or snoozing in the
bedroom;” “One of the following things is the case, I’m pretty confident. First
thing: she is in the kitchen, since she enjoys watching the birds from the
kitchen window. Second thing: she is in the bedroom, since she enjoys watching birds
from the bedroom window.” Etymologically, “or” is short for ‘other,’ meaning
second. So a third possibility: “I will be Anglo-Saxon: First, she is the
kitchen. Second, she is in the bedroom.” “She is in the kitchen UNLESS she is
in the bedroom”“She is in the kitchen IF SHE IS NOT in the bedroom.”“Well, it
is not the case that she is in the KITCHEN *AND* in the bedroom, De Morgan!” She
is in the kitchen, provided she is not in the bedroom” “If she is not in the kitchen,
she is in the bedroom” “Bedroom, kitchen; one of the two.” “Kitchen, bedroom;
check both just in case.”“Sleeping; alternatively, cooking – you do the maths.”“The
choices are: bedroom and kitchen.”“My choices would be: bedroom and kitchen.”“I
would think: bedroom? … kitchen?”“Disjunctively, bedroom – kitchen – kitchen –
bedroom.”“In alternation: kitchen, bedroom, bedroom, kitchen – who cares?”“Exclusively,
bedroom, kitchen.”ln another possible way, however, the implication could
perhaps bc said to BE indeed detachable: for there will be some contexts of
utterance (as Firth calls them) in which the ‘normal’ implication (that the
utterer has grounds other than truth-functional for the utterance of a
disjunction) will not hold.Here, for the first time, Grice brings a different
scenario for ‘or’:“Thc Secretary of the Aristotelian Society, announcing ‘Our
coming symposium will be in Oxford OR not take place at all” perhaps does not
imply that he is has grounds other than truth-functional for the utterance of
the disjunction. He is just being wicked, and making a bad-taste joke. This totally
extraneous scenario points to the fact that the implication of a disjunction is
cancellable.Once we re-apply it to the ‘Where in the hell in your house your
wife is? I hear the noise, but can’t figure!’ Mutatis mutandi with the
Secretary to The Aristotelian Socieety, a man could say, “My wife is in the
kitchen or in the bedroorn.”in circumstances in which the implication (that the
man has grounds other than truth-functional for the uttering of the
disjunction) would normally be present, but he is not being co-operative –
since one doesn’t HAVE to be co-operative (This may be odd, that one appeals to
helpfulness everywhere but when it comes to the annulation!).So the man goes
on, “Mind you, I am not saying that I do not know which.”This is why we love
Grice. Why I love Grice. One would never think of finding that sort of wicked
English humour in, say Strawson. Strawson yet says that Grice should ‘let go.’
But to many, Grice is ALWAYS humorous, and making philosophy fun, into the
bargain, if that’s not the same thing. Everybody else at the Play Group
(notably the ones Grice opposed to: Strawson, Austin, Hare, Hampshire, and
Hart) would never play with him. Pears, Warnock, and Thomson would!“Mind you, I
am not saying that I do not know which.”A: Where in the house is your wife? I
need to talk to her.B: She is in the kitchen – or in the bedroom. I know where
she is – but since you usually bring trouble, I will make you decide so that
perhaps like Buridan’s ass, you find the choice impossible and refrain from
‘talking’ (i. e. bringing bad news) to her.A: Where is your wife? B: In the
kitchen or in the bedroom. I know where she is. But I also know you are always
saying that you know my wife so well. So, calculate, by the time of the day –
it’s 4 a.m – where she could be. A: Where is your wife? B: In the bedroom or in
the kitchen. I know where she is – but remember we were reading Heidegger
yesterday? He says that a kitchen is where one cooks, and a bedroom is where
one sleeps. So I’ll let you decide if Heidegger has been refuted, should you
find her sleeping in the kitchen, or cooking in the bedroom.A: Where is your
wife? B: In the kitchen or the bedroom. I know where she is. What you may NOT
know, is that we demolished the separating wall. We have a loft now. So all
I’ll say is that she may be in both! All
this might be unfriendly, unocooperative, and perhaps ungrammatical for Austen
[Grice pronounced the surname so that the Aristotelian Society members might
have a doubt] – if not Vitters, but, on the other hand, it would be a perfectly
intelligible thing for a (married) man to say. We may not even GO to bachelors.
Finally, the fact that the utterance of the disjunctive sentence normally or
standardly or caeteris paribus involves the implication of the emissor's
ignorance of the truth-values of the disjuncts (or more strictly, the
implication of the emissor’s having grounds other than truth-functional for the
uttering of the disjunctive) is, I should like to say, to be ‘explained’ – and
Grice is being serious here, since Austin never cared to ‘explain,’ even if he
could -- by reference to a general principle governing – or if that’s not too
strong, guiding – conversation, at least of the cooperative kind the virtues of
which we are supposed to be exulting to our tuttees. Exactly what this
principle we should not go there. To explain why the implicaturum that the
emissor is having grounds other than truth-functional ones for the utterance of
a disjunction one may appeal to the emissor being rational, assuming his
emissee to be rational, and abiding by something that Grice does NOT state in
the imperative form, but using what he calls a Hampshire modal (Grice divides
the modals as Hampshire: ‘should,’ the weakest, ‘ought’ the Hare modal, the
medium, and ‘must,’ Grice, the stronges)"One, a man, a rational man, should
not make conversational move communicating ‘p’ which may be characterised (in
strict terms of entailment) as weaker (i.e. poor at conversational fortitude)
rather than a stronger (better at conversational fortitude) one unless there is
a good reason for so doing." So Gentzen is being crazey-basey if he
thinks:p; therefore, p or q.For who will proceed like that?“Or” is complicated,
but so is ‘if.’ The Gentzen differs from the evaluation assignemt:‘p or q’ is 1
iff p is 1 or q is 1. When we speak of ‘truth-functional’ grounds it is this
assignment above we are referring to.Of courseif p, p or q [a formulation of
the Gentzen introduction]is a TAUTOLOGY [which is what makes the introduction a
rule of inference].In terms of entailment P Or Q (independently) Is stronger than ‘p v q’ In that either p or q
entail ‘p or q’ but the reverse is not true. Grice says that he first thought
of the pragmatic rule in terms of the theory of perception, and Strawson hints
at this when he says in the footnote to “Introduction to Logical theory” that
the rule was pointed out by his tutor in the Logic Paper, Grice, “in a
different connection.” The logic paper took place before the war, so this is
early enough in Grice’s career – so the ghosts of Whitehead and Russell were
there! We can call the above ‘the principle of conversational fortitude.’ This
is certainly not an adequate formulation but will perhaps be good enough for
Grice’s purpose in “Causal.” On the assumption that such a principle as this is
of general application, one can DRAW or infer or explain the conclusion that
the utterance of a disjunctive sentence would imply that the emissor has
grounds other than truth-functional for the uttering of a disjunctum, given
that, first, the obvious reason for not making a statemcnt which there is some
call on one to make VALIDLY is that one is not in a position (or entitled) to
make it, and given, second, the logical ‘fact’ that each disjunct entails the
disjunctive, but not vice versa; which being so, each disjunct is stronger (bears
more conversational ‘fortitude’) than the disjunctive. If the outline just
given is on the right lines, Grice would wish to say, we have a reason for
REFUSING (as Strawson would not!) in the case of “kitchen or bedroom” to regard
the implication of the emissor having grounds other than truth-functional for
the uttering of the disjunctive as being part of the ‘meaning’ (whatever that
‘means’) of 'or' – but I should doublecheck with O. P. Wood – he’s our man in
‘or’ – A man who knows about the logical relation between a disjunction and each
disjunct, i. e. a man who has at least BROWSED Whitehead and Russell – and
diregards Bradley’s exclusivist account -- and who also ‘knew,’ qua Kantian
rational agent, about the alleged general principle or guiding conversational,
could work out for hirnself, surely, that a disjunctive utterance would involve
the implication which it does in fact involve. Grice insists, however, that his
aim in discussing this last point – about the principle of conversational
fortitude EXPLAING the generation of the implicaturum -- has been merelyto
indicate the position I would wish to take up, and not to argue scriously in
favour of it. Grice’s main purpose in the excursus on implication was to
introduce four ideas or catalysts, or tesets – TEST No. I: truth-value; TEST
No. 2: Vehicle out of four; Test No. 3/Twin Test: Annulation and Non-Detachment
(is there a positive way to express this – non-detached twins as opposed to
CONJOINT twins), and Test No. 4 – ‘Meaning’ of expression? -- of which Grice
then goes to make some use re: the pillar box seeming red.; and to provide some
conception of the ways in which each of the four tests apply or fail to apply
to various types of implication. By the numbering of it, it seems that by the
time of Essay II he has, typically, added an extra. It’s FIVE catalysts now,
but actually, since he has two of the previous tests all rolled up in one, it
is SIX CATALSTS. He’ll go back to them in Essay IV (“Indicative conditionals”
with regard to ‘if’), and in Presupposition and Conversational (with regard to
Example I here: “You have not ceased eating iron”). Implicaturum.He needs those
catalysts. Why? It seems like he is always thinking that someone will challenge
him! This is Grice: “We can now show that, it having been stipulated as being
what it is, a conversational implicaturum must possess certain distinctive
features, they are six. By using distinctive feature Grice is serious. He wants
each of the six catalysts to apply to each type of ‘implicaturum’, so that a
table can be constructed. With answers yes/no. Or rather here are some catalyst
ideas which will help us to determine or individuate. Six tests for implicaturum
as it were. SO THESE FEATURES – six of them – apply to three of the examples –
not the ‘poor but honest’ – but the “you have not ceased eating iron,”
“Beautiful handwriting,” and “Kitchen or bedroom.”First test – nothing about
the ‘twin’ – it’s ANNULATION or CANCELLABILITY – as noted in “Causal Theory” –
for two of the examples (‘beautiful handwriting’ and ‘kitchen or bedroom’ and
NEGATIVE version of “You don’t cease to eat iron”) and the one of the pillar
box – He adds a qualifier now: the annulation should best be IMPLICIT. But for
the fastidious philosopher, he allows for an EXPLICITATION which may not sound
grammatical enough to Austen (pronounced to rhyme with the playgroup master, or
the kindergarten’s master). To assume the presence of a conversational implicaturum,
the philosopher (and emissee) has to assume that the principle of
conversational co-operation (and not just conversational fortitude) is being
observed.However, it is mighty possible to opt out of this and most things at
Oxford, i. e. the observation of this principle of conversational cooperation
(or the earlier principle of conversational fortitude).It follows then that now
we CAN EXPLAIN WHY CANCELLABILITY IS A DISTINCTIVE FEATURE. He left it to be
understood in “Causal.”It follows then, deductively, that an implicaturum can
be canceled (or annulled) in a particular case. The conversational implicaturum
may be, drearily – but if that’s what the fastidious philosopher axes -- explicitly
canceled, if need there be, by the addition of a clause by which the utterer
states or implies that he opts out (e. g. “The pillar box seems red but it is.”
“Where is your wife?” “My lips are sealed”). Then again the conversational implicaturum
may be contextually (or implicitly) canceled, as Grice prefers (e. g. to a very
honest person, who knows I disbelieve the examiner exists, “The loyalty
examiner won’t be summoning you at any rate”). The utterance that usually would
carry an implicaturum is used on an occasion that makes it clear or obvious
that the utterer IS opting out without having to bore his addressee by making
this obviousness explicit. SECOND DISTINCTIVE FEATURE: CONJOINING, i.e.
non-detachability.There is a second litmus test or catalyst idea.Insofar as the
calculation that a implicaturum is present requires, besides contextual and
background information only an intuitive rational knowledge or understanding or
processing of what has been explicitly conveyed (‘are you playing squash? B
shows bandaged leg) (or the, shall we say, ‘conventional’ ‘arbitrary’
‘commitment’ of the utterance), and insofar as the manner or style, of FORM,
rather than MATTER, of expression should play at best absolutely no role in the
calculation, it is NOT possible to find another way of explicitly conveying or
putting forward the same thing, the same so-and-so (say that q follows from p)
which simply ‘lacks’ the unnecessary implicaturum in question -- except [will
his excluders never end?] where some special feature of the substituted version
[this other way which he says is not conceivable] is itself relevant to the
determination of the implicaturum (in virtue of this or that conversational
maxims pertaining to the category of conversational mode. THIS BIG CAVEAT makes
you wonder that Grice regretted making fun of Kant. By adopting jocularly the
four conversational categories, he now finds himself in having to give an
excuse or exception for those implicatura generated by a flout to what he
earlier referred to as the ‘desideratum of conversational clarity,’ and which
he jocularly rephrased as a self-defeating maxim, ‘be perspicuous [sic], never
mind perspicacious!’If we call this feature, as Grice does in “Causal Theory,”
‘non-detachability’ (or conjoining)– in that the implicaturum cannot be
detached or disjointed from any alternative expression that makes the same
point -- one may expect the implicaturum carried by this or that locution to
have a high degree of non-detachability. ALTERNATIVES FOR “NOT” Not, it is not
the case, it is false that. There’s nothing unique about ‘not’.ALTERNATIVES FOR
“AND” and, nothing, furthermore, but. There isnothing unique about
‘and’ALTERNATIVES FOR “OR”: One of the following is true. There is nothing
unique about ‘or’ALTERNATIVES FOR “IF” Provided. ‘There is nothing unique about
‘if’ALTERNATIVES FOR “THE” – There is at least one and at most one. And it
exists. (existence and uniqueness). There is nothing unique about ‘the’.THIS
COVERS STRAWSON’S first problem.What about the other English
philosophers?AUSTIN – on ‘voluntarily’ ALTERNATIVES to ‘voluntarily,’ with the
will, willingly, intentionally. Nothing unique about ‘voluntarily.’STRAWSON on
‘true’ – it is the case, redundance theory, nothing. Nothing unique about
‘true’HART ON good. To say that ‘x is commendable’ is to recommend x. Nothing
unique about ‘good.’HART on ‘carefully.’ Da Vinci painted Mona Lisa carefully,
with caution, with precaution. Nothing unique about ‘carefully.’THIRD LITMUS
TEST or idea and ATTENDING THIRD DISTINCTIVE
FEATURE. THIRD DISTINCTIVE FEATURE is in the protasis of the conditional.The implicaturum
depends on the explicatum or explicitum, and a fortiori, the implicaturum
cannot INVOLVE anything that the explicatum involves – There is nothing about
what an emissor explicitly conveys about “or” or a disjunctum in general, which
has to do with the emissor having grounds other than truth-functional for the
utterance of a disjunctum.The calculation of the presence of an implicaturum
presupposes an initial knowledge, or grasping, or understanding, or taking into
account of the ‘conventional’ force (not in Austin’s sense, but translating
Latin ‘vis’) of the expression the utterance of which carries the implicaturum.A
conversational implicaturum will be a condition (but not a truth-condition), i.
e. a condition that is NOT, be definition, on risk of circularity of otiosity,
included in what the emissor explicitly conveys, i. e. the original
specification of the expression's ‘conventional’ or arbitrary forceIf I’m
saying that ‘seems’ INVOLVES, as per conventional force, ‘doubt or
denial,’what’s my point? If Strawson is right that ‘if’ has the conventional
force of conventionally committing the utterer with the belief that q follows
from p, why bother? And if that were so, how come the implicaturum is still
cancellable?Though it may not be impossible for what starts life, so to speak,
as a conversational implicaturum to become conventionalized, to suppose that
this is so in a given case would require special justification. (Asking Lewis).
So, initially at least, a conversational implicaturum is, by definition and stipulation,
not part of the sense, truth-condition, conventional force, or part of what is
explicitly conveyed or put forward, or ‘meaning’ of the expression to the
employment of which the impicatum attaches. FOURTH LITMUS TEST or catalyst
idea. Mentioned in “Causal theory” YIELDS THE FOUTH DISICTINVE FEATURE and the
FIFTH distinctive feature.FOURTH DISTINCTIVE FEATURE: in the protasis of the
conditional – truth value.The alethic value – conjoined with the test about the
VEHICLE --. He has these as two different tests – and correspondingly two
distinctive features in “Causal”. The truth of a conversational implicaturum is
not required by (is not a condition for) the truth of what is said or
explicitly conveyed (what is said or explicated – the explicatum or explicitum,
or what is explicitly conveyed or communicated) may be true -- what is
implicated may be false – that he has beautiful handwriting, that q follows
from p, that the utterer is ENDORSING what someone else said, that the utterer
is recommending x, that the person who is said to act carefully has taken
precaution), FIFTH DISTINCTIVE FEATURE: vehicle – this is the FOURTH vehicle of
the four he mentions in “Causal”: ‘what the emissor explicitly conveys,’ ‘the
emissor himself,’ the emissor’s utterance, and fourth, the emissor’s explicitly
conveying, or explicitly conveying it that way --. The apodosis of the
conditional – or inferrability schema, since he uses ‘since,’ rather than ‘if,’
i. e. ‘GIVEN THAT p, q. Or ‘p; therefore, q’. The implicaturum is NOT carried
by what is said or the EXPLICATUM or EXPLICITUM, or is explicitly conveyed, but
only by the ‘saying’ or EXPLICATING or EXPLICITING of what is said or of the
explicatum or explicitum, or by 'putting it that way.’The fifth and last litmus
test or catalyst idea YIELDS A SIXTH DISTINCTIVE FEATURE:Note that he never
uses ‘first, second, etc.’ just the numerals, which in a lecture format, are
not visible!SIXTH DISTINCTIVE FEATURE: INDETERMINACY. Due to the open character
of the reasoning – and the choices available to fill the gap of the content of
the propositional attitude that makes the conversational rational:“He is
potentially dishonest.” “His colleagues are treacherous”Both implicatura
possible for “He hasn’t been to prison at his new job at the bank – yet.”Since,
to calculate a conversational implicaturum is to calculate what has to be
supposed in order to preserve the supposition that the utterer is a rational,
benevolent, altruist agent, and that the principle of conversational
cooperation is being observed, and since there may be various possible specific
explanations or alternatives that fill the gap here – as to what is the content
of the psychological attitude to be ascribed to the utterer, a list of which
may be open, or open-ended, the conversational implicaturum in such cases will
technically be an open-ended disjunction of all such specific explanations,
which may well be infinitely non-numerable. Since the list of these IS open,
the implicaturum will have just the kind of INDETERMINACY or lack of
determinacy that an implicaturum appears in most cases to possess.
indeterminacy of translation, a pair of theses derived, originally, from a
thought experiment regarding radical translation first propounded by Quine in
Word and Object (1960) and developed in his Ontological Relativity (1969),
Theories and Things (1981), and Pursuit of Truth (1990). Radical translation is
an imaginary context in which a field linguist is faced with the challenge of
translating a hitherto unknown language. Furthermore, it is stipulated that the
linguist has no access to bilinguals and that the language to be translated is
historically unrelated to that of the linguist. Presumably, the only data the
linguist has to go on are the observable behaviors of incompleteness
indeterminacy of translation 422 4065h-l.qxd 08/02/1999 7:39 AM Page 422 native
speakers amid the publicly observable objects of their environment. (1) The
strong thesis of indeterminacy, indeterminacy of translation of theoretical
sentences as wholes, is the claim that in the context of radical translation a
linguist (or linguists) could construct a number of manuals for translating the
(natives’) source language into the (linguists’) target language such that each
manual could be consistent with all possible behavior data and yet the manuals
could diverge with one another in countless places in assigning different
target-language sentences (holophrastically construed) as translations of the
same source-language sentences (holophrastically construed), diverge even to
the point where the sentences assigned have conflicting truth-values; and no
further data, physical or mental, could single out one such translation manual
as being the uniquely correct one. All such manuals, which are consistent with
all the possible behavioral data, are correct. (2) The weak thesis of
indeterminacy, indeterminacy of reference (or inscrutability of reference), is
the claim that given all possible behavior data, divergent target-language
interpretations of words within a source-language sentence could offset one
another so as to sustain different targetlanguage translations of the same
source-language sentence; and no further data, physical or mental, could single
out one such interpretation as the uniquely correct one. All such
interpretations, which are consistent with all the possible behavioral data,
are correct. This weaker sort of indeterminacy takes two forms: an ontic form
and a syntactic form. Quine’s famous example where the source-language term
‘gavagai’ could be construed either as ‘rabbit’, ‘undetached rabbit part’,
‘rabbithood’, etc. (see Word and Object), and his proxy function argument where
different ontologies could be mapped onto one another (see Ontological
Relativity, Theories and Things, and Pursuit of Truth), both exemplify the
ontic form of indeterminacy of reference. On the other hand, his example of the
Japanese classifier, where a particular three-word construction of Japanese can
be translated into English such that the third word of the construction can be
construed with equal justification either as a term of divided reference or as
a mass term (see Ontological Relativity and Pursuit of Truth), exemplifies the
syntactic form of indeterminacy of reference.
indexical: Grice: This is a
compound, from IN-, emphatic, and dex-, cognate with ‘dico,’ to say – cf.
deixis. -- Bradley’s thisness, and whatness – “Grice is improving on Scotus:
Aristotle’s tode ti is exactly Bradley’s thisness whatness – and more familiar
to the English ear than Scotus feminine ‘haecceitas.’” “Russell, being
pretentious, call Bradley’s “thisness” and “thatness,” but not “whatness” – as
a class of the ‘egocentric particular’ --
a type of expression whose semantic value is in part determined by features
of the context of utterance, and hence may vary with that context. Among
indexicals are the personal pronouns, such as ‘I’, ‘you’, ‘he’, ‘she’, and
‘it’; demonstratives, such as ‘this’ and ‘that’; temporal expressions, such as
‘now’, ‘today’, ‘yesterday’; and locative expressions, such as ‘here’, ‘there’,
etc. Although classical logic ignored indexicality, many recent practitioners,
following Richard Montague, have provided rigorous theories of indexicals in
the context of formal semantics. Perhaps the most plausible and thorough
treatment of indexicals is by David Kaplan, a prominent philosopher of language
and logic whose long-unpublished “Demonstratives” was especially influential;
it eventually appeared in J. Almog, J. Perry, and H. Wettstein, eds., Themes
from Kaplan. Kaplan argues persuasively that indexical singular terms are
directly referential and a species of rigid designator. He also forcefully
brings out a crucial lesson to be learned from indexicals, namely, that there
are two types of meaning, which Kaplan calls “content” and “character.” A
sentence containing an indexical, such as ‘I am hungry’, can be used to say
different things in different contexts, in part because of the different
semantic contributions made by ‘I’ in these contexts. Kaplan calls a term’s
contribution to what is said in a context the term’s content. Though the
content of an indexical like ‘I’ varies with its context, it will nevertheless
have a single meaning in the language, which Kaplan calls the indexical’s
character. This character may be conceived as a rule of function that assigns
different contents to the indexical in different contexts.
indicatum. “oριστική,” “oristike,” – The Roman ‘indicatum’ is a
composite of ‘in’ plus ‘dicatum.’ The Romans were never sure about this.
Literally for the Greeks it’s the ‘definitive’ – ‘horistike’ klesis, inclinatio
or modus animae affectationem demonstrans indefinitivus – While indefinitivus
is the transliteration, the Romans also used ‘finitivus’ ‘finitus,’ and
‘indicativus’ and ‘pronuntiativus’. ‘Grice distinguishes between the indicative
mode and the informational mode. One can hardly inform oneself. Yet one can
utter an utterance in the indicative mode without it being in what he calls the
informational sub-mode. It’s interesting that Grice thinks he has to
distinguish between the ‘informational’ and the mere ‘indicative.’ Oddly when
he sets the goal to which ‘co-operation’ leads, it’s the informing/being
informed, influencing/being influenced. Surely he could have simplified that
by, as he later will, psi-transmission, whatever. So the emissor INDICATES,
even in an imperative utterance, what his will is. All moves are primarily
‘exhibitive,’ (and the function of the mode is to EXPRESS the corresponding
attitude). Only some moves are ‘protreptic.’ Grice was well aware, if perhaps
not TOO aware, since Austin was so secretive, about Austin on the
‘perlocution.’ Because Austin wanted to deprieve the act from the cause of the
act. Thus, Austin’s communicative act may have a causal intention, leading to
this or that effect – but that would NOT be part of the philosopher’s interest.
Suppose !p; whether the order is successful and Smith does get a job he is
promised, it hardly matters to Kant, Austin, or Grice. Interestingly,
‘indicatum’ has the same root as ‘dic-‘, to say – but surely you don’t need to
say to indicate, as in Grice’s favourite indicative mood: a hand wave signaling
that the emissor knows the route or is about to leave the emissee.
directum.
“Searle
thought he was being witty when adapting my implicaturum to what he called an
Indirect Austinian thing. Holdcroft was less obvious!” – Grice. – indirectum --
indirect discourse, also called oratio obliqua, the use of words to report what
others say, but without direct quotation. When one says “John said, ‘Not every
doctor is honest,’ “ one uses the words in one’s quotation directly – one uses
direct discourseto make an assertion about what John said. Accurate direct
discourse must get the exact words. But in indirect discourse one can use other
words than John does to report what he said, e.g., “John said that some
physicians are not honest.” The words quoted here capture the sense of John’s
assertion (the proposition he asserted). By extension, ‘indirect discourse’
designates the use of words in reporting beliefs. One uses words to
characterize the proposition believed rather than to make a direct assertion.
When Alice says, “John believes that some doctors are not honest,” she uses the
words ‘some doctors are not honest’ to present the proposition that John
believes. She does not assert the proposition. By contrast, direct discourse,
also called oratio recta, is the ordinary use of words to make assertions. Grice
struggled for years as to what the ‘fundamentum distinctionis’ is between the
central and the peripheric communicatum. He played with first-ground versus
second-ground. He played with two different crtieria: formal/material, and
dictive-non-dictive. Refs.: H. P. Grice, “Holdcroft on direct and indirect communication.”
discernibile – “There’s the
discernible and the indiscernible, and Leibniz was a bit of a genius in
focusing on the second!” – Grice. indiscernibility: of identicals, the
principle that if A and B are identical, there is no difference between A and
B: everything true of A is true of B, and everything true of B is true of A; A
and B have just the same properties; there is no property such that A has it
while B lacks it, or B has it while A lacks it. A tempting formulation of this
principle, ‘Any two things that are identical have all their properties in
common’, verges on nonsense; for two things are never identical. ‘A is
numerically identical with B’ means that A and B are one and the same. A and B
have just the same properties because A, that is, B, has just the properties
that it has. This principle is sometimes called Leibniz’s law. It should be
distinguished from its converse, Leibniz’s more controversial principle of the
identity of indiscernibles. A contraposed form of the indiscernibility of
identicals – call it the distinctness of discernibles – reveals its point in
philosophic dialectic. If something is true of A that is not true of B, or (to
say the same thing differently) if something is true of B that is not true of
A, then A and B are not identical; they are distinct. One uses this principle
to attack identity claims. Classical arguments for dualism attempt to find
something true of the mind that is not true of anything physical. For example,
the mind, unlike everything physical, is indivisible. Also, the existence of
the mind, unlike the existence of everything physical, cannot be doubted. This
last argument shows that the distinctness of discernibles requires great care
of application in intentional contexts. Refs.: H. P. Grice, “Definite
descriptions in Leibniz and in the vernacular.”
dividuum-individuum
distinction, the: individuum: versus the dividuum – or divisum. Cicero’s attempt
to translate ‘a-tomon.’ In metaphysics, a process whereby a universal, e.g.,
cat, becomes instantiated in an individual – also called a particular e.g.,
Minina; (2) in epistemology, a process whereby a knower discerns an individual,
e.g., someone discerns Minina. The double understanding of individuation raises
two distinct problems: identifying the causes of metaphysical individuation,
and of epistemological individuation. In both cases the causes are referred to
as the principle of individuation. Attempts to settle the metaphysical and
epistemological problems of individuation presuppose an understanding of the
nature of individuality. Individuality has been variously interpreted as
involving one or more of the following: indivisibility, difference, division
within a species, identity through time, impredicability, and
non-instantiability. In general, theories of individuation try to account
variously for one or more of these. Individuation may apply to both substances
(e.g., Minina) and their features (e.g., Minina’s fur color), generating two
different sorts of theories. The theories of the metaphysical individuation of
substances most often proposed identify six types of principles: a bundle of
features (Russell); space and/or time (Boethius); matter (Aristotle); form
(Averroes); a decharacterized, sui generis component called bare particular
(Bergmann) or haecceity (Duns Scotus); and existence (Avicenna). Sometimes
several principles are combined. For example, for Aquinas the principle of
individuation is matter under dimensions (materia signata). Two sorts of
objections are often brought against these views of the metaphysical
individuation of substances. One points out that some of these theories violate
the principle of acquaintance,since they identify as individuators entities for
which there is no empirical evidence. The second argues that some of these
theories explain the individuation of substances in terms of accidents, thus
contradicting the ontological precedence of substance over accident. The two
most common theories of the epistemological individuation of substances
identify spatiotemporal location and/or the features of substances as their
individuators; we know a thing as an individual by its location in space and
time or by its features. The objections that are brought to bear against these
theories are generally based on the ineffectiveness of those principles in all
situations to account for the discernment of all types of individuals. The
theories of the metaphysical individuation of the features of substances fall
into two groups. Some identify the substance itself as the principle of
individuation; others identify some feature(s) of the substance as
individuator(s). Most accounts of the epistemological individuation of the
features of substances are similar to these views. The most common objections
to the metaphysical theories of the individuation of features attempt to show
that these theories are either incomplete or circular. It is argued, e.g., that
an account of the individuation of features in terms of substance is incomplete
because the individuation of the substance must also be accounted for: How
would one know what tree one sees, apart from its features? However, if the
substance is individuated by its features, one falls into a vicious circle.
Similar points are made with respect to the epistemological theories of the
individuation of features. Apart from the views mentioned, some philosophers
hold that individuals are individual essentially (per se), and therefore that
they do not undergo individuation. Under those conditions either there is no
need for a metaphysical principle of individuation (Ockham), or else the
principle of individuation is identified as the individual entity itself
(Suárez).
inductum: in the narrow
sense, inference to a generalization from its instances; (2) in the broad
sense, any ampliative inference – i.e., any inference where the claim made by
the conclusion goes beyond the claim jointly made by the premises. Induction in
the broad sense includes, as cases of particular interest: argument by analogy,
predictive inference, inference to causes from signs and symptoms, and
confirmation of scientific laws and theories. The narrow sense covers one
extreme case that is not ampliative. That is the case of mathematical
induction, where the premises of the argument necessarily imply the
generalization that is its conclusion. Inductive logic can be conceived most
generally as the theory of the evaluation of ampliative inference. In this
sense, much of probability theory, theoretical statistics, and the theory of
computability are parts of inductive logic. In addition, studies of scientific
method can be seen as addressing in a less formal way the question of the logic
of inductive inference. The name ‘inductive logic’ has also, however, become
associated with a specific approach to these issues deriving from the work of
Bayes, Laplace, De Morgan, and Carnap. On this approach, one’s prior
probabilities in a state of ignorance are determined or constrained by some
principle for the quantification of ignorance and one learns by conditioning on
the evidence. A recurrent difficulty with this line of attack is that the way
in which ignorance is quantified depends on how the problem is described, with
different logically equivalent descriptions leading to different prior
probabilities. Carnap laid down as a postulate for the application of his
inductive logic that one should always condition on one’s total evidence. This
rule of total evidence is usually taken for granted, but what justification is there
for it? Good pointed out that the standard Bayesian analysis of the expected
value of new information provides such a justification. Pure cost-free
information always has non-negative expected value, and if there is positive
probability that it will affect a decision, its expected value is positive.
Ramsey made the same point in an unpublished manuscript. The proof generalizes
to various models of learning uncertain evidence. A deductive account is
sometimes presented indubitability induction 425 4065h-l.qxd 08/02/1999 7:39 AM
Page 425 where induction proceeds by elimination of possibilities that would
make the conclusion false. Thus Mill’s methods of experimental inquiry are
sometimes analyzed as proceeding by elimination of alternative possibilities.
In a more general setting, the hypothetico-deductive account of science holds
that theories are confirmed by their observational consequences – i.e., by
elimination of the possibilities that this experiment or that observation
falsifies the theory. Induction by elimination is sometimes put forth as an
alternative to probabilistic accounts of induction, but at least one version of
it is consistent with – and indeed a consequence of – probabilistic accounts.
It is an elementary fact of probability that if F, the potential falsifier, is
inconsistent with T and both have probability strictly between 0 and 1, then
the probability of T conditional on not-F is higher than the unconditional
probability of T. In a certain sense, inductive support of a universal generalization
by its instances may be a special case of the foregoing, but this point must be
treated with some care. In the first place, the universal generalization must
have positive prior probability. (It is worth noting that Carnap’s systems of
inductive logic do not satisfy this condition, although systems of Hintikka and
Niiniluoto do.) In the second place, the notion of instance must be construed
so the “instances” of a universal generalization are in fact logical
consequences of it. Thus ‘If A is a swan then A is white’ is an instance of
‘All swans are white’ in the appropriate sense, but ‘A is a white swan’ is not.
The latter statement is logically stronger than ‘If A is a swan then A is
white’ and a complete report on species, weight, color, sex, etc., of
individual A would be stronger still. Such statements are not logical
consequences of the universal generalization, and the theorem does not hold for
them. For example, the report of a man 7 feet 11¾ inches tall might actually
reduce the probability of the generalization that all men are under 8 feet
tall. Residual queasiness about the foregoing may be dispelled by a point made
by Carnap apropos of Hempel’s discussion of paradoxes of confirmation.
‘Confirmation’ is ambiguous. ‘E confirms H’ may mean that the probability of H
conditional on E is greater than the unconditional probability of H, in which
case deductive consequences of H confirm H under the conditions set forth
above. Or ‘E confirms H’ may mean that the probability of H conditional on E is
high (e.g., greater than .95), in which case if E confirms H, then E confirms
every logical consequence of H. Conflation of the two senses can lead one to
the paradoxical conclusion that E confirms E & P and thus P for any
statement, P. inductum -- inductivism: “A philosophy of
science invented by Popper and P. K. Feyerabend as a foil for their own views. Why,
I must just have well invented ‘sensism’ as a foil for my theory of implicaturum!”
-- According to inductivism, a unique a priori inductive logic enables one to
construct an algorithm that will compute from any input of data the best
scientific theory accounting for that data. inductum: Not deductum, --
nor abductum -- epapoge, Grecian term for ‘induction’. Especially in the logic
of Aristotle, epagoge is opposed to argument by syllogism. Aristotle describes
it as “a move from particulars to the universal.” E.g., premises that the
skilled navigator is the best navigator, the skilled charioteer the best
charioteer, and the skilled philosopher the best philosopher may support the
conclusion by epagoge that those skilled in something are usually the best at
it. Aristotle thought it more persuasive and clearer than the syllogistic
method, since it relies on the senses and is available to all humans. The term
was later applied to dialectical arguments intended to trap opponents. R.C.
epicheirema, a polysyllogism in which each premise represents an enthymematic
argument; e.g., ‘A lie creates disbelief, because it is an assertion that does
not correspond to truth; flattery is a lie, because it is a conscious
distortion of truth; therefore, flattery creates disbelief’. Each premise
constitutes an enthymematic syllogism. Thus, the first premise could be
expanded into the following full-fledged syllogism: ‘Every assertion that does
not correspond to truth creates disbelief; a lie is an assertion that does not
correspond to truth; therefore a lie creates disbelief’. We could likewise
expand the second premise and offer a complete argument for it. Epicheirema can
thus be a powerful tool in oral polemics, especially when one argues
regressively, first stating the conclusion with a sketch of support in terms of
enthymemes, and then if challenged to do
so expanding any or all of these
enthymemes into standard categorical syllogisms.
illatum: A form of the conjugation Grice
enjoyed was “inferentia,” cf essentia,
sententia, prudentia, etc.. – see illatum -- Cf. illatio. Consequentia.
Implicatio. Grice’s implicaturum and what the emissor implicates as a variation
on the logical usage.
infima species (Latin, ‘lowest species’),
a species that is not a genus of any other species. According to the theory of
classification, division, and definition that is part of traditional or
Aristotelian logic, every individual is a specimen of some infima species. An
infima species is a member of a genus that may in turn be a species of a more
inclusive genus, and so on, until one reaches a summum genus, a genus that is
not a species of a more inclusive genus. Socrates and Plato are specimens of
the infima specis human being (mortal rational animal), which is a species of
the genus rational animal, which is a species of the genus animal, and so on,
up to the summum genus substance. Whereas two specimens of animal – e.g., an
individual human and an individual horse – can differ partly in their essential
characteristics, no two specimens of the infima species human being can differ
in essence.
infinite-off
predicament, or ∞-off predicament.
infinitum: Cantor, G. Grice
thought that “I know there are infinitely many stars” is a stupid thing to say
-- one of a number of late nineteenthcentury philosophers including Frege,
Dedekind, Peano, Russell, and Hilbert who transformed both mathematics and the
study of its philosophical foundations. The philosophical import of Cantor’s
work is threefold. First, it was primarily Cantor who turned arbitrary
collections into objects of mathematical study, sets. Second, he created a
coherent mathematical theory of the infinite, in particular a theory of
transfinite numbers. Third, linking these, he was the first to indicate that it
might be possible to present mathematics as nothing but the theory of sets,
thus making set theory foundational for mathematics. This contributed to the
Camus, Albert Cantor, Georg 116 116
view that the foundations of mathematics should itself become an object of
mathematical study. Cantor also held to a form of principle of plenitude, the
belief that all the infinities given in his theory of transfinite numbers are
represented not just in mathematical or “immanent” reality, but also in the
“transient” reality of God’s created world. Cantor’s main, direct achievement
is his theory of transfinite numbers and infinity. He characterized as did Frege
sameness of size in terms of one-to-one correspondence, thus accepting the
paradoxical results known to Galileo and others, e.g., that the collection of
all natural numbers has the same cardinality or size as that of all even
numbers. He added to these surprising results by showing 1874 that there is the
same number of algebraic and thus rational numbers as there are natural
numbers, but that there are more points on a continuous line than there are
natural or rational or algebraic numbers, thus revealing that there are at
least two different kinds of infinity present in ordinary mathematics, and
consequently demonstrating the need for a mathematical treatment of these
infinities. This latter result is often expressed by saying that the continuum
is uncountable. Cantor’s theorem of 2 is a generalization of part of this, for
it says that the set of all subsets the power-set of a given set must be
cardinally greater than that set, thus giving rise to the possibility of
indefinitely many different infinities. The collection of all real numbers has
the same size as the power-set of natural numbers. Cantor’s theory of
transfinite numbers 0 97 was his developed mathematical theory of infinity,
with the infinite cardinal numbers the F-, or aleph-, numbers based on the
infinite ordinal numbers that he introduced in 0 and 3. The F-numbers are in
effect the cardinalities of infinite well-ordered sets. The theory thus
generates two famous questions, whether all sets in particular the continuum
can be well ordered, and if so which of the F-numbers represents the
cardinality of the continuum. The former question was answered positively by
Zermelo in 4, though at the expense of postulating one of the most
controversial principles in the history of mathematics, the axiom of choice.
The latter question is the celebrated continuum problem. Cantor’s famous
continuum hypothesis CH is his conjecture that the cardinality of the continuum
is represented by F1, the second aleph. CH was shown to be independent of the
usual assumptions of set theory by Gödel 8 and Cohen 3. Extensions of Cohen’s
methods show that it is consistent to assume that the cardinality of the
continuum is given by almost any of the vast array of F-numbers. The continuum
problem is now widely considered insoluble. Cantor’s conception of set is often
taken to admit the whole universe of sets as a set, thus engendering
contradiction, in particular in the form of Cantor’s paradox. For Cantor’s
theorem would say that the power-set of the universe must be bigger than it, while,
since this powerset is a set of sets, it must be contained in the universal
set, and thus can be no bigger. However, it follows from Cantor’s early 3
considerations of what he called the “absolute infinite” that none of the
collections discovered later to be at the base of the paradoxes can be proper
sets. Moreover, correspondence with Hilbert in 7 and Dedekind in 9 see Cantor,
Gesammelte Abhandlungen mathematischen und philosophischen Inhalts, 2 shows
clearly that Cantor was well aware that contradictions will arise if such
collections are treated as ordinary sets.
“What is not finite.” “I know that there
are infinitely many stars” – an example of a stupid thing to say by the man in
the street. apeiron, Grecian term meaning ‘the boundless’ or ‘the unlimited’,
which evolved to signify ‘the infinite’. Anaximander introduced the term to
philosophy by saying that the source of all things was apeiron. There is some
disagreement about whether he meant by this the spatially antinomy apeiron unbounded,
the temporally unbounded, or the qualitatively indeterminate. It seems likely
that he intended the term to convey the first meaning, but the other two senses
also happen to apply to the spatially unbounded. After Anaximander, Anaximenes
declared as his first principle that air is boundless, and Xenophanes made his
flat earth extend downward without bounds, and probably outward horizontally
without limit as well. Rejecting the tradition of boundless principles,
Parmenides argued that “what-is” must be held within determinate boundaries.
But his follower Melissus again argued that what-is must be boundless in both time and space for it can have no beginning or end. Another
follower of Parmenides, Zeno of Elea, argued that if there are many substances,
antinomies arise, including the consequences that substances are both limited
and unlimited apeira in number, and that they are so small as not to have size
and so large as to be unlimited in size. Rejecting monism, Anaxagoras argued
for an indefinite number of elements that are each unlimited in size, and the
Pythagorean Philolaus made limiters perainonta and unlimiteds apeira the
principles from which all things are composed. The atomists Leucippus and
Democritus conceived of a boundless universe, partly full of an infinite number
of atoms and partly void; and in the universe are countless apeiroi worlds.
Finally Aristotle arrived at an abstract understanding of the apeiron as “the
infinite,” claiming to settle paradoxes about the boundless by allowing for
real quantities to be infinitely divisible potentially, but not actually
Physics III.48. The development of the notion of the apeiron shows how Grecian
philosophers evolved ever more abstract philosophical ideas from relatively
concrete conceptions. Infinity -- Grice
thougth that “There are infinitely many stars” was a stupid thing to say --
diagonal procedure, a method, originated by Cantor, for showing that there are
infinite sets that cannot be put in one-to-one correspondence with the set of
natural numbers i.e., enumerated. For example, the method can be used to show
that the set of real numbers x in the interval 0 ‹ x m 1 is not enumerable.
Suppose x0, x1, x2, . . . were such an enumeration x0 is the real correlated
with 0; x1, the real correlated with 1; and so on. Then consider the list
formed by replacing each real in the enumeration with the unique
non-terminating decimal fraction representing it: The first decimal fraction
represents x0; the second, x1; and so on. By diagonalization we select the
decimal fraction shown by the arrows: and change each digit xnn, taking care to
avoid a terminating decimal. This fraction is not on our list. For it differs
from the first in the tenths place, from the second in the hundredths place,
and from the third in the thousandths place, and so on. Thus the real it
represents is not in the supposed enumeration. This contradicts the original
assumption. The idea can be put more elegantly. Let f be any function such
that, for each natural number n, fn is a set of natural numbers. Then there is
a set S of natural numbers such that n 1 S S n 2 fn. It is obvious that, for
each n, fn & S. Infinity -- eternal
return, the doctrine that the same events, occurring in the same sequence and
involving the same things, have occurred infinitely many times in the past and
will occur infinitely many times in the future. Attributed most notably to the
Stoics and Nietzsche, the doctrine is antithetical to philosophical and
religious viewpoints that claim that the world order is unique, contingent in
part, and directed toward some goal. The Stoics interpret eternal return as the
consequence of perpetual divine activity imposing exceptionless causal
principles on the world in a supremely rational, providential way. The world,
being the best possible, can only be repeated endlessly. The Stoics do not
explain why the best world cannot be everlasting, making repetition
unnecessary. It is not clear whether Nietzsche asserted eternal return as a
cosmological doctrine or only as a thought experiment designed to confront one
with the authenticity of one’s life: would one affirm that life even if one
were consigned to live it over again without end? On either interpretation,
Nietzsche’s version, like the Stoic version, stresses the inexorability and
necessary interconnectedness of all things and events, although unlike the
Stoic version, it rejects divine providence.
infinitary logic, the logic of expressions of infinite length. Quine has
advanced the claim that firstorder logic (FOL) is the language of science, a
position accepted by many of his followers. Howinferential justification
infinitary logic 428 4065h-l.qxd 08/02/1999 7:39 AM Page 428 ever, many
important notions of mathematics and science are not expressible in FOL. The
notion of finiteness, e.g., is central in mathematics but cannot be expressed
within FOL. There is no way to express such a simple, precise claim as ‘There
are only finitely many stars’ in FOL. This and related expressive limitations
in FOL seriously hamper its applicability to the study of mathematics and have
led to the study of stronger logics. There have been various approaches to
getting around the limitations by the study of so-called strong logics,
including second-order logic (where one quantifies over sets or properties, not
just individuals), generalized quantifiers (where one adds quantifiers in
addition to the usual ‘for all’ and ‘there exists’), and branching quantifiers
(where notions of independence of variables is introduced). One of the most
fruitful methods has been the introduction of idealized “infinitely long”
statements. For example, the above statement about the stars would be
formalized as an infinite disjunction: there is at most one star, or there are
at most two stars, or there are at most three stars, etc. Each of these
disjuncts is expressible in FOL. The expressive limitations in FOL are closely
linked with Gödel’s famous completeness and incompleteness theorems. These
results show, among other things, that any attempt to systematize the laws of
logic is going to be inadequate, one way or another. Either it will be confined
to a language with expressive limitations, so that these notions cannot even be
expressed, or else, if they can be expressed, then an attempt at giving an
effective listing of axioms and rules of inference for the language will fall
short. In infinitary logic, the rules of inference can have infinitely many
premises, and so are not effectively presentable. Early work in infinitary
logic used cardinality as a guide: whether or not a disjunction, conjunction,
or quantifier string was permitted had to do only with the cardinality of the
set in question. It turned out that the most fruitful of these logics was the
language with countable conjunctions and finite strings of first-order quantifiers.
This language had further refinements to socalled admissible languages, where
more refined set-theoretic considerations play a role in determining what
counts as a formula. Infinitary languages are also connected with strong axioms
of infinity, statements that do not follow from the usual axioms of set theory
but for which one has other evidence that they might well be true, or at least
consistent. In particular, compact cardinals are infinite cardinal numbers
where the analogue of the compactness theorem of FOL generalizes to the
associated infinitary language. These cardinals have proven to be very
important in modern set theory. During the 1990s, some infinitary logics played
a surprising role in computer science. By allowing arbitrarily long conjunctions
and disjunctions, but only finitely many variables (free or bound) in any
formula, languages with attractive closure properties were found that allowed
the kinds of inductive procedures of computer science, procedures not
expressible in FOL. -- infinite regress argument, a distinctively philosophical
kind of argument purporting to show that a thesis is defective because it
generates an infinite series when either (form A) no such series exists or
(form B) were it to exist, the thesis would lack the role (e.g., of
justification) that it is supposed to play. The mere generation of an infinite
series is not objectionable. It is misleading therefore to use ‘infinite
regress’ (or ‘regress’) and ‘infinite series’ equivalently. For instance, both
of the following claims generate an infinite series: (1) every natural number
has a successor that itself is a natural number, and (2) every event has a
causal predecessor that itself is an event. Yet (1) is true (arguably,
necessarily true), and (2) may be true for all that logic can say about the
matter. Likewise, there is nothing contrary to logic about any of the infinite
series generated by the suppositions that (3) every free act is the consequence
of a free act of choice; (4) every intelligent operation is the result of an
intelligent mental operation; (5) whenever individuals x and y share a property
F there exists a third individual z which paradigmatically has F and to which x
and y are somehow related (as copies, by participation, or whatnot); or (6)
every generalization from experience is inductively inferable from experience
by appeal to some other generalization from experience. What Locke (in the
Essay concerning Human Understanding) objects to about the theory of free will
embodied in (3) and Ryle (in The Concept of Mind) objects to about the
“intellectualist leginfinite, actual infinite regress argument 429 4065h-l.qxd
08/02/1999 7:39 AM Page 429 end” embodied in (4) can therefore be only that it
is just plain false as a matter of fact that we perform an infinite number of
acts of choice or operations of the requisite kinds. In effect their infinite
regress arguments are of form A: they argue that the theories concerned must be
rejected because they falsely imply that such infinite series exist. Arguably the
infinite regress arguments employed by Plato (in the Parmenides) regarding his
own theory of Forms and by Popper (in the Logic of Scientific Discovery)
regarding the principle of induction proposed by Mill, are best construed as
having form B, their objections being less to (5) or (6) than to their
epistemic versions: (5*) that we can understand how x and y can share a
property F only if we understand that there exists a third individual (the
“Form” z) which paradigmatically has F and to which x and y are related; and
(6*) that since the principle of induction must itself be a generalization from
experience, we are justified in accepting it only if it can be inferred from
experience by appeal to a higherorder, and justified, inductive principle. They
are arguing that because the series generated by (5) and (6) are infinite, the
epistemic enlightenment promised by (5*) and (6*) will forever elude us. When
successful, infinite regress arguments can show us that certain sorts of
explanation, understanding, or justification are will-o’-thewisps. As Passmore
has observed (in Philosophical Reasoning) there is an important sense of
‘explain’ in which it is impossible to explain predication. We cannot explain
x’s and y’s possession of the common property F by saying that they are called
by the same name (nominalism) or fall under the same concept (conceptualism)
any more than we can by saying that they are related to the same form (Platonic
realism), since each of these is itself a property that x and y are supposed to
have in common. Likewise, it makes no sense to try to explain why anything at
all exists by invoking the existence of something else (such as the theist’s
God). The general truths that things exist, and that things may have properties
in common, are “brute facts” about the way the world is. Some infinite regress
objections fail because they are directed at “straw men.” Bradley’s regress
argument against the pluralist’s “arrangement of given facts into relations and
qualities,” from which he concludes that monism is true, is a case in point. He
correctly argues that if one posits the existence of two or more things, then
there must be relations of some sort between them, and then (given his covert
assumption that these relations are things) concludes that there must be
further relations between these relations ad infinitum. Bradley’s regress
misfires because a pluralist would reject his assumption. Again, some regress
arguments fail because they presume that any infinite series is vicious.
Aquinas’s regress objection to an infinite series of movers, from which he
concludes that there must be a prime mover, involves this sort of confusion. --
infinity, in set theory, the property of a set whereby it has a proper subset
whose members can be placed in one-to-one correspondence with all the members
of the set, as the even integers can be so arranged in respect to the natural
numbers by the function f(x) = x/2, namely: Devised by Richard Dedekind in
defiance of the age-old intuition that no part of a thing can be as large as
the thing, this set-theoretical definition of ‘infinity’, having been much
acclaimed by philosophers like Russell as a model of conceptual analysis that
philosophers were urged to emulate, can elucidate the putative infinity of
space, time, and even God, his power, wisdom, etc. If a set’s being denumerable
– i.e., capable of having its members placed in one-to-one correspondence with
the natural numbers – can well appear to define much more simply what the
infinity of an infinite set is, Cantor exhibited the real numbers (as expressed
by unending decimal expansions) as a counterexample, showing them to be
indenumerable by means of his famous diagonal argument. Suppose all the real
numbers between 0 and 1 are placed in one-to-one correspondence with the
natural numbers, thus: Going down the principal diagonal, we can construct a
new real number, e.g., .954 . . . , not found in the infinite “square array.”
The most important result in set theory, Cantor’s theorem, is denied its full
force by the maverick followers infinity infinity 430 4065h-l.qxd 08/02/1999
7:39 AM Page 430 of Skolem, who appeal to the fact that, though the real
numbers constructible in any standard axiomatic system will be indenumerable
relative to the resources of the system, they can be seen to be denumerable
when viewed from outside it. Refusing to accept the absolute indenumerability
of any set, the Skolemites, in relativizing the notion to some system, provide
one further instance of the allure of relativism. More radical still are the
nominalists who, rejecting all abstract entities and sets in particular, might
be supposed to have no use for Cantor’s theorem. Not so. Assume with Democritus
that there are infinitely many of his atoms, made of adamant. Corresponding to
each infinite subset of these atoms will be their mereological sum or “fusion,”
namely a certain quantity of adamant. Concrete entities acceptable to the
nominalist, these quantities can be readily shown to be indenumerable. Whether
Cantor’s still higher infinities beyond F1 admit of any such nominalistic
realization remains a largely unexplored area. Aleph-zero or F0 being taken to
be the transfinite number of the natural numbers, there are then F1 real
numbers (assuming the continuum hypothesis), while the power set of the reals
has F2 members, and the power set of that F3 members, etc. In general, K2 will
be said to have a greater number (finite or transfinite) of members than K1
provided the members of K1 can be put in one-to-one correspondence with some
proper subset of K2 but not vice versa. Skepticism regarding the higher
infinities can trickle down even to F0, and if both Aristotle and Kant, the
former in his critique of Zeno’s paradoxes, the latter in his treatment of
cosmological antinomies, reject any actual, i.e. completed, infinite, in our
time Dummett’s return to verificationism, as associated with the mathematical
intuitionism of Brouwer, poses the keenest challenge. Recognition-transcendent
sentences like ‘The total number of stars is infinite’ are charged with
violating the intersubjective conditions required for a speaker of a language
to manifest a grasp of their meaning. Strawson, or Grice’s favourite
informalist: THE INFORMALISTS – A Group under which Grice situated his
post-generational Strawson and his pre-generational Ryle. informal fallacy, an
error of reasoning or tactic of argument that can be used to persuade someone
with whom you are reasoning that your argument is correct when really it is
not. The standard treatment of the informal fallacies in logic textbooks draws
heavily on Aristotle’s list, but there are many variants, and new fallacies
have often been added, some of which have gained strong footholds in the
textbooks. The word ‘informal’ indicates that these fallacies are not simply localized
faults or failures in the given propositions (premises and conclusion) of an
argument to conform to a standard of semantic correctness (like that of
deductive logic), but are misuses of the argument in relation to a context of
reasoning or type of dialogue that an arguer is supposed to be engaged in.
Informal logic is the subfield of logical inquiry that deals with these
fallacies. Typically, informal fallacies have a pragmatic (practical) aspect
relating to how an argument is being used, and also a dialectical aspect,
pertaining to a context of dialogue – normally an exchange between two
participants in a discussion. Both aspects are major concerns of informal
logic. Logic textbooks classify informal fallacies in various ways, but no
clear and widely accepted system of classification has yet become established.
Some textbooks are very inventive and prolific, citing many different
fallacies, including novel and exotic ones. Others are more conservative,
sticking with the twenty or so mainly featured in or derived from Aristotle’s
original treatment, with a few widely accepted additions. The paragraphs below
cover most of these “major” or widely featured fallacies, the ones most likely
to be encountered by name in the language of everyday educated conversation.
The genetic fallacy is the error of drawing an inappropriate conclusion about
the goodness or badness of some property of a thing from the goodness or
badness of some property of the origin of that thing. For example, ‘This
medication was derived from a plant that is poisonous; therefore, even though
my physician advises me to take it, I conclude that it would be very bad for me
if I took it.’ The error is inappropriately arguing from the origin of the
medication to the conclusion that it must be poisonous in any form or
situation. The genetic fallacy is often construed very broadly making it
coextensive with the personal attack type of argument (see the description of
argumentum ad hominem below) that condemns a prior argument by condemning its source
or proponent. Argumentum ad populum (argument to the people) is a kind of
argument that uses appeal to popular sentiments to support a conclusion.
Sometimes called “appeal to the gallery” or “appeal to popular pieties” or even
“mob appeal,” this kind of argument has traditionally been portrayed as
fallacious. However, there infinity, axiom of informal fallacy 431 4065h-l.qxd
08/02/1999 7:39 AM Page 431 need be nothing wrong with appealing to popular
sentiments in argument, so long as their evidential value is not exaggerated.
Even so, such a tactic can be fallacious when the attempt to arouse mass
enthusiasms is used as a substitute to cover for a failure to bring forward the
kind of evidence that is properly required to support one’s conclusion. Argumentum
ad misericordiam (argument to pity) is a kind of argument that uses an appeal
to pity, sympathy, or compassion to support its conclusion. Such arguments can
have a legitimate place in some discussions – e.g., in appeals for charitable
donations. But they can also put emotional pressure on a respondent in argument
to try to cover up a weak case. For example, a student who does not have a
legitimate reason for a late assignment might argue that if he doesn’t get a
high grade, his disappointed mother might have a heart attack. The fallacy of
composition is the error of arguing from a property of parts of a whole to a
property of the whole – e.g., ‘The important parts of this machine are light;
therefore this machine is light.’ But a property of the parts cannot always be
transferred to the whole. In some cases, examples of the fallacy of composition
are arguments from all the parts to a whole, e.g. ‘Everybody in the country
pays her debts. Therefore the country pays its debts.’ The fallacy of division
is the converse of that of composition: the error of arguing from a property of
the whole to a property of its parts – e.g., ‘This machine is heavy; therefore
all the parts of this machine are heavy.’ The problem is that the property
possessed by the whole need not transfer to the parts. The fallacy of false
cause, sometimes called post hoc, ergo propter hoc (after this, therefore
because of this), is the error of arguing that because two events are
correlated with one another, especially when they vary together, the one is the
cause of the other. For example, there might be a genuine correlation between
the stork population in certain areas of Europe and the human birth rate. But
it would be an error to conclude, on that basis alone, that the presence of
storks causes babies to be born. In general, however, correlation is good, if
sometimes weak, evidence for causation. The problem comes in when the
evidential strength of the correlation is exaggerated as causal evidence. The
apparent connection could just be coincidence, or due to other factors that
have not been taken into account, e.g., some third factor that causes both the
events that are correlated with each other. The fallacy of secundum quid
(neglecting qualifications) occurs where someone is arguing from a general rule
to a particular case, or vice versa. One version of it is arguing from a
general rule while overlooking or suppressing legitimate exceptions. This kind
of error has also often been called the fallacy of accident. An example would
be the argument ‘Everyone has the right to freedom of speech; therefore it is
my right to shout “Fire” in this crowded theater if I want to.’ The other
version of secundum quid, sometimes also called the fallacy of converse
accident, or the fallacy of hasty generalization, is the error of trying to
argue from a particular case to a general rule that does not properly fit that
case. An example would be the argument ‘Tweetie [an ostrich] is a bird that
does not fly; therefore birds do not fly’. The fault is the failure to
recognize or acknowledge that Tweetie is not a typical bird with respect to
flying. Argumentum consensus gentium (argument from the consensus of the
nations) is a kind that appeals to the common consent of mankind to support a
conclusion. Numerous philosophers and theologians in the past have appealed to
this kind of argument to support conclusions like the existence of God and the
binding character of moral principles. For example, ‘Belief in God is
practically universal among human beings past and present; therefore there is a
practical weight of presumption in favor of the truth of the proposition that
God exists’. A version of the consensus gentium argument represented by this
example has sometimes been put forward in logic textbooks as an instance of the
argumentum ad populum (described above) called the argument from popularity:
‘Everybody believes (accepts) P as true; therefore P is true’. If interpreted
as applicable in all cases, the argument from popularity is not generally
sound, and may be regarded as a fallacy. However, if regarded as a presumptive
inference that only applies in some cases, and as subject to withdrawal where
evidence to the contrary exists, it can sometimes be regarded as a weak but
plausible argument, useful to serve as a provisional guide to prudent action or
reasoned commitment. Argumentum ad hominem (literally, argument against the
man) is a kind of argument that uses a personal attack against an arguer to
refute her argument. In the abusive or personal variant, the character of the
arguer (especially character for veracity) is attacked; e.g., ‘You can’t
believe what Smith says – he is a liar’. In evaluating testimony (e.g., in
legal cross-examination), attacking an arguer’s character can be legitimate in
some cases. Also in political debate, character can be a legitimate issue.
However, ad hominem arguinformal fallacy informal fallacy 432 4065h-l.qxd
08/02/1999 7:39 AM Page 432 ments are commonly used fallaciously in attacking
an opponent unfairly – e.g., where the attack is not merited, or where it is
used to distract an audience from more relevant lines of argument. In the
circumstantial variant, an arguer’s personal circumstances are claimed to be in
conflict with his argument, implying that the arguer is either confused or
insincere; e.g., ‘You don’t practice what you preach’. For example, a
politician who has once advocated not raising taxes may be accused of
“flip-flopping” if he himself subsequently favors legislation to raise taxes.
This type of argument is not inherently fallacious, but it can go badly wrong,
or be used in a fallacious way, for example if circumstances changed, or if the
alleged conflict was less serious than the attacker claimed. Another variant is
the “poisoning the well” type of ad hominem argument, where an arguer is said
to have shown no regard for the truth, the implication being that nothing he
says henceforth can ever be trusted as reliable. Yet another variant of the ad
hominem argument often cited in logic textbooks is the tu quoque (you-too reply),
where the arguer attacked by an ad hominem argument turns around and says,
“What about you? Haven’t you ever lied before? You’re just as bad.” Still
another variant is the bias type of ad hominem argument, where one party in an
argument charges the other with not being honest or impartial or with having
hidden motivations or personal interests at stake. Argumentum ad baculum
(argument to the club) is a kind of argument that appeals to a threat or to
fear in order to support a conclusion, or to intimidate a respondent into
accepting it. Ad baculum arguments often take an indirect form; e.g., ‘If you
don’t do this, harmful consequences to you might follow’. In such cases the
utterance can often be taken as a threat. Ad baculum arguments are not inherently
fallacious, because appeals to threatening or fearsome sanctions – e.g., harsh
penalties for drunken driving – are not necessarily failures of critical
argumentation. But because ad baculum arguments are powerful in eliciting
emotions, they are often used persuasively as sophistical tactics in
argumentation to avoid fulfilling the proper requirements of a burden of proof.
Argument from authority is a kind of argument that uses expert opinion (de
facto authority) or the pronouncement of someone invested with an institutional
office or title (de jure authority) to support a conclusion. As a practical but
fallible method of steering discussion toward a presumptive conclusion, the
argument from authority can be a reasonable way of shifting a burden of proof. However,
if pressed too hard in a discussion or portrayed as a better justification for
a conclusion than the evidence warrants, it can become a fallacious argumentum
ad verecundiam (see below). It should be noted, however, that arguments based
on expert opinions are widely accepted both in artificial intelligence and
everyday argumentation as legitimate and sound under the right conditions.
Although arguments from authority have been strongly condemned during some
historical periods as inherently fallacious, the current climate of opinion is
to think of them as acceptable in some cases, even if they are fallible
arguments that can easily go wrong or be misused by sophistical persuaders.
Argumentum ad judicium represents a kind of knowledge-based argumentation that
is empirical, as opposed to being based on an arguer’s personal opinion or
viewpoint. In modern terminology, it apparently refers to an argument based on
objective evidence, as opposed to somebody’s subjective opinion. The term
appears to have been invented by Locke to contrast three commonly used kinds of
arguments and a fourth special type of argument. The first three types of
argument are based on premises that the respondent of the argument is taken to
have already accepted. Thus these can all be called “personal” in nature. The
fourth kind of argument – argumentum ad judicium – does not have to be based on
what some person accepts, and so could perhaps be called “impersonal.” Locke
writes that the first three kinds of arguments can dispose a person for the
reception of truth, but cannot help that person to the truth. Only the
argumentum ad judicium can do that. The first three types of arguments come
from “my shamefacedness, ignorance or error,” whereas the argumentum ad
judicium “comes from proofs and arguments and light arising from the nature of
things themselves.” The first three types of arguments have only a preparatory
function in finding the truth of a matter, whereas the argumentum ad judicium
is more directly instrumental in helping us to find the truth. Argumentum ad
verecundiam (argument to reverence or respect) is the fallacious use of expert
opinion in argumentation to try to persuade someone to accept a conclusion. In
the Essay concerning Human Understanding (1690) Locke describes such arguments
as tactics of trying to prevail on the assent of someone by portraying him as
irreverent or immodest if he does not readily yield to the authority of some
learned informal opinion cited. Locke does not claim, however, that all appeals
to expert authority in argument are fallacious. They can be reasonable if used
judiciously. Argumentum ad ignorantiam (argument to ignorance) takes the
following form: a proposition a is not known or proved to be true (false);
therefore A is false (true). It is a negative type of knowledge-based or
presumptive reasoning, generally not conclusive, but it is nevertheless often
non-fallacious in balance-of-consideration cases where the evidence is
inconclusive to resolve a disputed question. In such cases it is a kind of
presumption-based argumentation used to advocate adopting a conclusion
provisionally, in the absence of hard knowledge that would determine whether
the conclusion is true or false. An example would be: Smith has not been heard
from for over seven years, and there is no evidence that he is alive; therefore
it may be presumed (for the purpose of settling Smith’s estate) that he is
dead. Arguments from ignorance ought not to be pressed too hard or used with
too strong a degree of confidence. An example comes from the U.S. Senate
hearings in 1950, in which Senator Joseph McCarthy used case histories to argue
that certain persons in the State Department should be considered Communists.
Of one case he said, “I do not have much information on this except the general
statement of the agency that there is nothing in the files to disprove his
Communist connections.” The strength of any argument from ignorance depends on
the thoroughness of the search made. The argument from ignorance can be used to
shift a burden of proof merely on the basis of rumor, innuendo, or false
accusations, instead of real evidence. Ignoratio elenchi (ignorance of
refutation) is the traditional name, following Aristotle, for the fault of
failing to keep to the point in an argument. The fallacy is also called
irrelevant conclusion or missing the point. Such a failure of relevance is
essentially a failure to keep closely enough to the issue under discussion.
Suppose that during a criminal trial, the prosecutor displays the victim’s
bloody shirt and argues at length that murder is a horrible crime. The
digression may be ruled irrelevant to the question at issue of whether the
defendant is guilty of murder. Alleged failures of this type in argumentation
are sometimes quite difficult to judge fairly, and a ruling should depend on
the type of discussion the participants are supposed to be engaged in. In some
cases, conventions or institutional rules of procedure – e.g. in a criminal
trial – are aids to determining whether a line of argumentation should be
judged relevant or not. Petitio principii (asking to be granted the “principle”
or issue of the discussion to be proved), also called begging the question, is
the fallacy of improperly arguing in a circle. Circular reasoning should not be
presumed to be inherently fallacious, but can be fallacious where the circular
argument has been used to disguise or cover up a failure to fulfill a burden of
proof. The problem arises where the conclusion that was supposed to be proved
is presumed within the premises to be granted by the respondent of the
argument. Suppose I ask you to prove that this bicycle (the ownership of which
is subject to dispute) belongs to Hector, and you reply, “All the bicycles
around here belong to Hector.” The problem is that without independent evidence
that shows otherwise, the premise that all the bicycles belong to Hector takes
for granted that this bicycle belongs to Hector, instead of proving it by
properly fulfilling the burden of proof. The fallacy of many questions (also
called the fallacy of complex question) is the tactic of packing unwarranted
presuppositions into a question so that any direct answer given by the
respondent will trap her into conceding these presuppositions. The classical
case is the question, “Have you stopped beating your spouse?” No matter how the
respondent answers, yes or no, she concedes the presuppositions that (a) she
has a spouse, and (b) she has beaten that spouse at some time. Where one or
both of these presumptions are unwarranted in the given case, the use of this
question is an instance of the fallacy of many questions. The fallacy of
equivocation occurs where an ambiguous word has been used more than once in an
argument in such a way that it is plausible to interpret it in one way in one
instance of its use and in another way in another instance. Such an argument
may seem persuasive if the shift in the context of use of the word makes these
differing interpretations plausible. Equivocation, however, is generally
seriously deceptive only in longer sequences of argument where the meaning of a
word or phrase shifts subtly but significantly. A simplistic example will
illustrate the gist of the fallacy: ‘The news media should present all the
facts on anything that is in the public interest; the public interest in lives
of movie stars is intense; therefore the news media should present all the
facts on the private lives of movie stars’. This argument goes from plausible
premises to an implausible conclusion by trading on the ambiguity of ‘public
interest’. In one sense informal fallacy informal fallacy 434 4065h-l.qxd
08/02/1999 7:40 AM Page 434 it means ‘public benefit’ while in another sense it
refers to something more akin to curiosity. Amphiboly (double arrangement) is a
type of traditional fallacy (derived from Aristotle’s list of fallacies) that
refers to the use of syntactically ambiguous sentences like ‘Save soap and
waste paper’. Although the logic textbooks often cite examples of such
sentences as fallacies, they have never made clear how they could be used to
deceive in a serious discussion. Indeed, the example cited is not even an
argument, but simply an ambiguous sentence. In cases of some advertisements
like ‘Two pizzas for one special price’, however, one can see how the amphiboly
seriously misleads readers into thinking they are being offered two pizzas for
the regular price of one. Accent is the use of shifting stress or emphasis in
speech as a means of deception. For example, if a speaker puts stress on the
word ‘created’ in ‘All men were created equal’ it suggests (by implicaturum)
the opposite proposition to ‘All men are equal’, namely ‘Not all men are (now)
equal’. The oral stress allows the speaker to covertly suggest an inference the
hearer is likely to draw, and to escape commitment to the conclusion suggested
by later denying he said it. The slippery slope argument, in one form, counsels
against some contemplated action (or inaction) on the ground that, once taken,
it will be a first step in a sequence of events that will be difficult to
resist and will (or may or must) lead to some dangerous (or undesirable or
disastrous) outcome in the end. It is often argued, e.g., that once you allow
euthanasia in any form, such as the withdrawal of heroic treatments of dying
patients in hospitals, then (through erosion of respect for human life), you
will eventually wind up with a totalitarian state where old, feeble, or
politically troublesome individuals are routinely eliminated. Some slippery
slope arguments can be reasonable, but they should not be put forward in an
exaggerated way, supported with insufficient evidence, or used as a scare
tactic.
formale/informale distinction: informal
logic: Grice preferred ‘material’ logic – “What Strawson means by ‘informal
logic’ is best expressed by ‘ordinary-language logic,’ drawing on Bergmann’s
distinction between the ordinary and the ideal.” Also called practical logic,
the use of logic to identify, analyze, and evaluate arguments as they occur in
contexts of discourse in everyday conversations. In informal logic, arguments
are assessed on a case-by-case basis, relative to how the argument was used in
a given context to persuade someone to accept the conclusion, or at least to
give some reason relevant to accepting the conclusion.
informatum – “What has
‘forma’ to do with ‘inform’?” – Grice. While etymologically it means ‘to
mould,’ Lewis and Short render ‘informare’ as “to
inform, instruct, educate (syn.: “instruere, instituere): artes quibus aetas
puerilis ad humanitatem informari solet,” Cic. Arch. 3, 4: “animus a natura
bene informatus,” formed, id. Off. 1, 4, 13. I. e. “the soul is well informed
by nature.” Informativus – informational. Grice distinguishes between
the indicative and the informational. “Surely it is stupid to inform myself,
but not Strawson, that it is raining. Grammarians don’t care, but I do!”
information theory, also called communication theory, a primarily mathematical
theory of communication. Prime movers in its development include Claude
Shannon, H. Nyquist, R. V. L. Hartley, Norbert Wiener, Boltzmann, and Szilard.
Original interests in the theory were largely theoretical or applied to
telegraphy and telephony, and early development clustered around engineering
problems in such domains. Philosophers (Bar-Hillel, Dretske, and Sayre, among
others) are mainly interested in information theory as a source for developing
a semantic theory of information and meaning. The mathematical theory has been
less concerned with the details of how a message acquires meaning and more
concerned with what Shannon called the “fundamental problem of communication” –
reproducing at one point either exactly or approximately a message (that already
has a meaning) selected at another point. Therefore, the two interests in
information – the mathematical and the philosophical – have remained largely
orthogonal. Information is an objective (mind-independent) entity. It can be
generated or carried by messages (words, sentences) or other products of
cognizers (interpreters). Indeed, communication theory focuses primarily on
conditions involved in the generation and transmission of coded (linguistic)
messages. However, almost any event can (and usually does) generate information
capable of being encoded or transmitted. For example, Colleen’s acquiring red
spots can contain information about Colleen’s having the measles and graying
hair can carry information about her grandfather’s aging. This information can
be encoded into messages about measles or aging (respectively) and transmitted,
but the information would exist independently of its encoding or transmission.
That is, this information would be generated (under the right conditions) by
occurrence of the measles-induced spots and the age-induced graying themselves
– regardless of anyone’s actually noticing. This objective feature of
information explains its potential for epistemic and semantic development by
philosophers and cognitive scientists. For example, in its epistemic dimension,
a single (event, message, or Colleen’s spots) that contains informal logic
information theory 435 4065h-l.qxd 08/02/1999 7:40 AM Page 435 (carries) the
information that Colleen has the measles is something from which one (mom,
doctor) can come to know that Colleen has the measles. Generally, an event
(signal) that contains the information that p is something from which one can
come to know that p is the case – provided that one’s knowledge is indeed based
on the information that p. Since information is objective, it can generate what
we want from knowledge – a fix on the way the world objectively is configured.
In its semantic dimension, information can have intentionality or aboutness.
What is happening at one place (thermometer reading rising in Colleen’s mouth)
can carry information about what is happening at another place (Colleen’s body
temperature rising). The fact that messages (or mental states, for that matter)
can contain information about what is happening elsewhere, suggests an exciting
prospect of tracing the meaning of a message (or of a thought) to its
informational origins in the environment. To do this in detail is what a
semantic theory of information is about. The mathematical theory of information
is purely concerned with information in its quantitative dimension. It deals
with how to measure and transmit amounts of information and leaves to others
the work of saying what (how) meaning or content comes to be associated with a
signal or message. In regard to amounts of information, we need a way to
measure how much information is generated by an event (or message) and how to
represent that amount. Information theory provides the answer. Since
information is an objective entity, the amount of information associated with
an event is related to the objective probability (likelihood) of the event.
Events that are less likely to occur generate more information than those more
likely to occur. Thus, to discover that the toss of a fair coin came up heads
contains more information than to discover this about the toss of a coin biased
(.8) toward heads. Or, to discover that a lie was knowingly broadcast by a
censored, state-run radio station, contains less information than that a lie
was knowingly broadcast by a non-censored, free radio station (say, the BBC). A
(perhaps surprising) consequence of associating amounts of information with
objective likelihoods of events is that some events generate no information at
all. That is, that 55 % 3125 or that water freezes at 0oC. (on a specific
occasion) generates no information at all – since these things cannot be
otherwise (their probability of being otherwise is zero). Thus, their
occurrence generates zero information. Shannon was seeking to measure the
amount of information generated by a message and the amount transmitted by its
reception (or about average amounts transmissible over a channel). Since his
work, it has become standard to think of the measure of information in terms of
reductions of uncertainty. Information is identified with the reduction of
uncertainty or elimination of possibilities represented by the occurrence of an
event or state of affairs. The amount of information is identified with how
many possibilities are eliminated. Although other measures are possible, the
most convenient and intuitive way that this quantity is standardly represented
is as a logarithm (to the base 2) and measured in bits (short for how many
binary digits) needed to represent binary decisions involved in the reduction
or elimination of possibilities. If person A chooses a message to send to
person B, from among 16 equally likely alternative messages (say, which number
came up in a fair drawing from 16 numbers), the choice of one message would
represent 4 bits of information (16 % 24 or log2 16 % 4). Thus, to calculate
the amount of information generated by a selection from equally likely messages
(signals, events), the amount of information I of the message s is calculated
I(s) % logn. If there is a range of messages (s1 . . . sN) not all of which are
equally likely (letting (p (si) % the probability of any si’s occurrence), the
amount of information generated by the selection of any message si is
calculated I(si) % log 1/p(si) % –log p(si) [log 1/x % –log x] While each of
these formulas says how much information is generated by the selection of a
specific message, communication theory is seldom primarily interested in these
measures. Philosophers are interested, however. For if knowledge that p
requires receiving the information that p occurred, and if p’s occurrence
represents 4 bits of information, then S would know that p occurred only if S
received information equal to (at least) 4 bits. This may not be sufficient for
S to know p – for S must receive the right amount of information in a
non-deviant causal way and S must be able to extract the content of the
information – but this seems clearly necessary. Other measures of information
of interest in communication theory include the average information, or
entropy, of a source, information theory information theory 436 4065h-l.qxd
08/02/1999 7:40 AM Page 436 I(s) % 9p(si) $ I(si), a measure for noise (the
amount of information that person B receives that was not sent by person A),
and for equivocation (the amount of information A wanted or tried to send to B
that B did not receive). These concepts from information theory and the
formulas for measuring these quantities of information (and others) provide a
rich source of tools for communication applications as well as philosophical
applications. informed consent, voluntary agreement in the light of relevant
information, especially by a patient to a medical procedure. An example would
be consent to a specific medical procedure by a competent adult patient who has
an adequate understanding of all the relevant treatment options and their
risks. It is widely held that both morality and law require that no medical
procedures be performed on competent adults without their informed consent.
This doctrine of informed consent has been featured in case laws since the
1950s, and has been a focus of much discussion in medical ethics. Underwritten
by a concern to protect patients’ rights to self-determination and also by a
concern with patients’ well-being, the doctrine was introduced in an attempt to
delineate physicians’ duties to inform patients of the risks and benefits of
medical alternatives and to obtain their consent to a particular course of
treatment or diagnosis. Interpretation of the legitimate scope of the doctrine
has focused on a variety of issues concerning what range of patients is
competent to give consent and hence from which ones informed consent must be
required; concerning how much, how detailed, and what sort of information must
be given to patients to yield informed consent; and concerning what sorts of
conditions are required to ensure both that there is proper understanding of
the information and that consent is truly voluntary rather than unduly
influenced by the institutional authority of the physician.
inscriptum -- inscriptionalism -- nominalism. While Grice pours scorn
on the American School of Latter-Day
Nominalists, nominalism, as used by Grice is possibly a misnomer. He
doesn’t mean Occam, and Occam did not use ‘nominalismus.’ “Terminimus’ at most.
So one has to be careful. The implicaturum is that the nominalist calls a
‘name’ what others shouldn’t. Mind,
Grice had two nominalist friends: S. N. Hamphsire (Scepticism and meaning”) and
A. M. Quinton, of the play group! In “Properties and classes,” for the
Aristotelian Society. And the best Oxford philosophical stylist, Bradley, is
also a nominalist. There are other, more specific arguments against universals.
One is that postulating such things leads to a vicious infinite regress. For
suppose there are universals, both monadic and relational, and that when an
entity instantiates a universal, or a group of entities instantiate a
relational universal, they are linked by an instantiation relation. Suppose now
that a instantiates the universal F. Since there are many things that
instantiate many universals, it is plausible to suppose that instantiation is a
relational universal. But if instantiation is a relational universal,
when a instantiates F, a, F and
the instantiation relation are linked by an instantiation relation. Call this
instantiation relation i2 (and suppose it, as is
plausible, to be distinct from the instantiation relation (i1)
that links a and F). Then since i2 is
also a universal, it looks as if a, F, i1 and i2 will
have to be linked by another instantiation relation i3,
and so on ad infinitum. (This argument has its source in Bradley
1893, 27–8.)
insinuatum: Cf. ‘indirectum’ Oddly, Ryle found an ‘insinuation’
abusive, which Russell found abusive. When McGuinness listed the abusive terms
by Gellner, ‘insinuation’ was one of them, so perhaps Grice should take note! insinuation
insinuate. The etymology is abscure. Certainly not Ciceronian. A bit of
linguistic botany, “E implicates that p” – implicate to do duty for, in
alphabetic order: mean, suggest, hint, insinuate, indicate, implicitly convey,
indirectly convey, imply. Intransitive meaning "hint obliquely" is from
1560s. The problem is that Grice possibly used it transitively, with a
‘that’-clause. “Emissor E communicates that p, via insinuation,” i.e. E
insinuates that p.” In fact, there’s nothing odd with the ‘that’-clause
following ‘insinuate.’ Obviosuly, Grice will be saying that what is a mere
insinuation it is taken by Austin, Strawson, Hart or Hare or Hampshire – as he
criticizes him in the “Mind” article on intention and certainty -- (to restrict
to mistakes by the play group) as part of the ‘analysans.’ `Refs. D. Holdcroft,
“Forms of indirect communication,” Journal of Rhetoric, H. P. Grice,
“Communicatum: directum-indirectum.”
Swinehead: “I like
Swinehead – it sounds almost like Grice!” – Grice. Merton school.
solubile -- insolubile: “As
opposed to the ‘piece-of-cake’ solubilia” – Grice. A solubile is a piece of a
cake. An insolubile is a sentences embodying a semantic antinomy such as the
liar paradox. The insolubile is used by philosophers to analyze a self-nullifying
sentences, the possibility that every sentence implies that they are true, and
the relation between a communicatum and an animatum (psi). At first, Grice
focuses on nullification to explicate a sentence like ‘I am lying’ (“Mento.”
“Mendax”) which, when spoken, entails that the utterer “says nothing.” Grice:
“Bradwardine suggests that such a sentence as “Mento” signifies that it is at
once true and false, prompting Burleigh to argue that every sentences implies
that it is true.” “Swineshead uses the insolubile to distinguish between truth and
correspondence to reality.” While ‘This sentence is false’ is itself false, it
corresponds to reality, while its contradiction, ‘This sentence is not false,’
does not, although the latter is also false. “Wyclif uses the insolubile to
describe the senses (or implicatura) in which a sentence can be true, which led
to his belief in the reality of logical beings or entities of reason, a central
tenet of his realism.” “d’Ailly uses the insolubile to explain how the animatum
(or soul) differs from the communicatum, holding that there is no insoluble in
the soul, but that communication lends itself to the phenomenon by admitting a
single sentence corresponding to two distinct states of the soul. Grice: “Of
course that was Swine’s unEnglish overstatement, ‘unsolvable;’ everything is
solvable!” Refs.: H. P. Grice, “Liars at Oxford.”
institutum – Grice speaks of
the institution of decision as the goal of conversation -- institution. (1) An
organization such as a corporation or college. (2) A social practice such as
marriage or making promises. (3) A system of rules defining a possible form of
social organization, such as capitalist versus Communist principles of economic
exchange. In light of the power of institutions to shape societies and
individual lives, writers in professional ethics have explored four main
issues. First, what political and legal institutions are feasible, just, and
otherwise desirable (Plato, Republic; Rawls, A Theory of Justice)? Second, how
are values embedded in institutions through the constitutive rules that define
them (for example, “To promise is to undertake an obligation”), as well as
through regulatory rules imposed on them from outside, such that to participate
in institutions is a value-laden activity (Searle, Speech Acts, 1969)? Third,
do institutions have collective responsibilities or are the only
responsibilities those of individuals, and in general how are the
responsibilities of individuals, institutions, and communities related? Fourth,
at a more practical level, how can we prevent institutions from becoming
corrupted by undue regard for money and power (MacIntyre, After Virtue, 1981)
and by patriarchal prejudices (Susan Moller Okin, Justice, Gender, and the Family,
1989)? -- institutional theory of art, the view that something becomes an
artwork by virtue of occupying a certain position within the context of a set
of institutions. George Dickie originated this theory of art (Art and the
Aesthetic, 1974), which was derived loosely from Arthur Danto’s “The Artworld”
(Journal of Philosophy, 1964). In its original form it was the view that a work
of art is an artifact that has the status of candidate for appreciation
conferred upon it by some person acting on behalf of the art world. That is,
there are institutions – such as museums, galleries, and journals and
newspapers that publish reviews and criticism – and there are individuals who
work within those institutions – curators, directors, dealers, performers,
critics – who decide, by accepting objects or events for discussion and
display, what is art and what is not. The concept of artifactuality may be
extended to include found art, conceptual art, and other works that do not
involve altering some preexisting material, by holding that a use, or context
for display, is sufficient to make something into an artifact. This definition
of art raises certain questions. What determines – independently of such
notions as a concern with art – whether an institution is a member of the art
world? That is, is the definition ultimately circular? What is it to accept
something as a candidate for appreciation? Might not this concept also threaten
circularity, since there could be not only artistic but also other kinds of
appreciation?
instrumentum:
is
Grice an instrumentalist? According to C. Lord (“Griceian instrumentalism”) he
is – but he is not! Lord takes ‘tool’ literally. In Grice’s analysandum of the
act of the communicatum, Lord takes ‘x’ to be a ‘tool’ or instrument for the
production of a response in the emisor’s sendee. But is this the original Roman
meaning of ‘instrumentum’? Griceian aesthetic instrumetalism according to
Catherine Lord. instrumentalism, in its most common meaning, a kind of
anti-realistic view of scientific theories wherein theories are construed as
calculating devices or instruments for conveniently moving from a given set of
observations to a predicted set of observations. As such the theoretical
statements are not candidates for truth or reference, and the theories have no
ontological import. This view of theories is grounded in a positive distinction
between observation statements and theoretical statements, and the according of
privileged epistemic status to the former. The view was fashionable during the
era of positivism but then faded; it was recently revived, in large measure
owing to the genuinely perplexing character of quantum theories in physics.
’Instrumentalism’ has a different and much more general meaning associated with
the pragmatic epistemology of Dewey. Deweyan instrumentalism is a general
functional account of all concepts (scientific ones included) wherein the
epistemic status of concepts and the rationality status of actions are seen as
a function of their role in integrating, predicting, and controlling our
concrete interactions with our experienced world. There is no positivistic
distinction instantiation instrumentalism 438 4065h-l.qxd 08/02/1999 7:40 AM
Page 438 between observation and theory, and truth and reference give way to
“warranted assertability.”
intellectum: The noun is ‘intellectus.’ But what is understood is ‘the
intellectum’ – cf. ‘implicatum’ -- hile the ‘dianoia’ is the intellectus, the
‘intellectum’ is the Griceian diaphanous ‘what is understood.’ (dianoia): Grice
was fascinated by Cicero. “The way he managed to translate the Grecian ‘dia’ by
the ‘inter is genial!” As Short and Lewis have it, it’s from
“inter-legere,” to see into, perceive, understand. “intelligere,” originally meaning to comprehend, appeared
frequently in Cicero, then underwent a slippage in its passive form,
“intelligetur,” toward to understand, to communicate, to mean, ‘to give it to
be understood.’ What is understood – INTELLECTUM -- by an expression can be not
only its obvious sense but also something that is connoted, implied,
insinuated, IMPLICATED, as Grice would prefer. Verstand, corresponding to Greek
dianoia and Latin intellectio] Kant distinguished understanding from
sensibility and reason. While sensibility is receptive, understanding is
spontaneous. While understanding is concerned with the range of phenomena and
is empty without intuition, reason, which moves from judgment to judgment
concerning phenomena, is tempted to extend beyond the limits of experience to
generate fallacious inferences. Kant claimed that the main act of understanding
is judgment and called it a faculty of judgment. He claimed that there is an a
priori concept or category corresponding to each kind of judgment as its
logical function and that understanding is constituted by twelve categories.
Hence understanding is also a faculty of concepts. Understanding gives the
synthetic unity of appearance through the categories. It thus brings together
intuitions and concepts and makes experience possible. It is a lawgiver of
nature. Herder criticized Kant for separating sensibility and understanding.
Fichte and Hegel criticized him for separating understanding and reason. Some
neo-Kantians criticized him for deriving the structure of understanding from
the act of judgment. “Now we can reduce all acts of the understanding to
judgements, and the understanding may therefore be represented as a faculty of
judgement.” Kant, Critique of Pure Reason Intellectus -- dianoia, Grecian term for
the faculty of thought, specifically of drawing conclusions from assumptions
and of constructing and following arguments. The term may also designate the
thought that results from using this faculty. We would use dianoia to construct
a mathematical proof; in contrast, a being
if there is such a being it would be a god that could simply intuit the truth of the
theorem would use the faculty of intellectual intuition, noûs. In contrast with
noûs, dianoia is the distinctly human faculty of reason. Plato uses noûs and
dianoia to designate, respectively, the highest and second levels of the
faculties represented on the divided line Republic 511de. PLATO. E.C.H. dialectical argument dianoia
233 233 dichotomy paradox. Refs: Grice,
“The criteria of intelligence.”
IN-TENSVM – EX-TENSVM -- intensionalism: Grice finds a way to relieve a predicate that is vacuous
from the embarrassing consequence of denoting or being satisfied by the empty
set. Grice exploits the nonvoidness of a predicate which is part of the
definition of the void predicate. Consider the vacuous predicate:‘... is
married to a daughter of an English queen and a pope.'The class '... is a
daugther of an English queen and a pope.'is co-extensive with the
predicate '... stands in relation to a sequence composed of the class married
to, daughters, English queens, and popes.'We correlate the void predicate with
the sequence composed of relation R, the set ‘married to,’ the set
‘daughters,’ the set ‘English queens,’ and the set ‘popes.'Grice uses this
sequence, rather than the empty set, to determine the explanatory potentiality
of a void predicate. The admissibility of a nonvoid predicate in an
explanation of a possible phenomenon (why it would happen if it did happen) may
depends on the availability of a generalisation whithin which the predicate
specifies the antecedent condition. A non-trivial generalisations of this
sort is certainly available if derivable from some further generalisation
involving a less specific antecedent condition, supported by an antecedent condition
that is specified by means a nonvoid predicate. intension, the
meaning or connotation of an expression, as opposed to its extension or
denotation, which consists of those things signified by the expression. The
intension of a declarative sentence is often taken to be a proposition and the
intension of a predicate expression (common noun, adjective) is often taken to
be a concept. For Frege, a predicate expression refers to a concept and the
intension or Sinn (“sense”) of a predicate expression is a mode of presentation
distinct from the concept. Objects like propositions or concepts that can be
the intension of terms are called intensional objects. (Note that ‘intensional’
is not the same word as ‘intentional’, although the two are related.) The
extension of a declarative sentence is often taken to be a state of affairs and
that of a predicate expression to be the set of objects that fall under the
concept which is the intension of the term. Extension is not the same as
reference. For example, the term ‘red’ may be said to refer to the property
redness but to have as its extension the set of all red things. Alternatively
properties and relations are sometimes taken to be intensional objects, but the
property redness is never taken to be part of the extension of the adjective
‘red’. intensionality, failure of extensionality. A linguistic context is
extensional if and only if the extension of the expression obtained by placing
any subexpression in that context is the same as the extension of the
expression obtained by placing in that context any subexpression with the same
extension as the first subexpression. Modal, intentional, and direct
quotational contexts are main instances of intensional contexts. Take, e.g.,
sentential contexts. The extension of a sentence is its truth or falsity
(truth-value). The extension of a definite description is what it is true of:
‘the husband of Xanthippe’ and ‘the teacher of Plato’ have the same extension,
for they are true of the same man, Socrates. Given this, it is easy to see that
‘Necessarily, . . . was married to Xanthippe’ is intensional, for ‘Necessarily,
the husband of Xanthippe was married to Xanthippe’ is true, but ‘Necessarily,
the teacher of Plato was married to Xanthippe’ is not. Other modal terms that
generate intensional contexts include ‘possibly’, ‘impossibly’, ‘essentially’,
‘contingently’, etc. Assume that Smith has heard of Xanthippe but not Plato.
‘Smith believes that . . . was married to Xanthippe’ is intensional, for ‘Smith
believes that the husband of Xanthippe was married to Xanthippe’ is true, but
‘Smith believes that the teacher of Plato was married to Xanthippe’ is not.
Other intentional verbs that generate intensional contexts include ‘know’,
‘doubt’, ‘wonder’, ‘fear’, ‘intend’, ‘state’, and ‘want’. ‘The fourth word in
“. . . “ has nine letters’ is intensional, for ‘The fourth word in “the husband
of Xanthippe” has nine letters’ is true but ‘the fourth word in “the teacher of
Plato” has nine letters’ is not. intensional logic, that part of deductive logic
which treats arguments whose validity or invalidity depends on strict
difference, or identity, of meaning. The denotation of a singular term (i.e., a
proper name or definite description), the class of things of which a predicate
is true, and the truth or falsity (the truth-value) of a sentence may be called
the extensions of these respective linguistic expressions. Their intensions are
their meanings strictly so called: the (individual) concept conveyed by the
singular term, the property expressed by the predicate, and the proposition
asserted by the sentence. The most extensively studied part of formal logic
deals largely with inferences turning only on extensions. One principle of
extensional logic is that if two singular terms have identical denotations, the
truth-values of corresponding sentences containing the terms are identical.
Thus the inference from ‘Bern is the capital of Switzerland’ to ‘You are in
Bern if and only if you are in the capital of Switzerland’ is valid. But this
is invalid: ‘Bern is the capital of Switzerland. Therefore, you believe that
you are in Bern if and only if you believe that you are in the capital of
Switzerland.’ For one may lack the belief instrumental rationality intensional
logic 439 4065h-l.qxd 08/02/1999 7:40 AM Page 439 that Bern is the capital of
Switzerland. It seems that we should distinguish between the intensional
meanings of ‘Bern’ and of ‘the capital of Switzerland’. One supposes that only
a strict identity of intension would license interchange in such a context, in
which they are in the scope of a propositional attitude. It has been questioned
whether the idea of an intension really applies to proper names, but parallel
examples are easily constructed that make similar use of the differences in the
meanings of predicates or of whole sentences. Quite generally, then, the
principle that expressions with the same extension may be interchanged with
preservation of extension of the containing expression, seems to fail for such
“intensional contexts.” The range of expressions producing such sensitive
contexts includes psychological verbs like ‘know’, ‘believe’, ‘suppose’,
‘assert’, ‘desire’, ‘allege’, ‘wonders whether’; expressions conveying modal
ideas such as necessity, possibility, and impossibility; some adverbs, e.g.
‘intentionally’; and a large number of other expressions – ’prove’, ‘imply’,
‘make probable’, etc. Although reasoning involving some of these is well
understood, there is not yet general agreement on the best methods for dealing
with arguments involving many of these notions.
intentionalism: Grice analyses ‘intend’ in two prongs; the first is a
willing-clause, and the second is a causal clause about the willing causing the
action. It’s a simplified account that he calls Prichardian because he relies
on ‘willin that.’ The intender intends that some action takes place. It does
not have to be an action by the intender. Cf. Suppes’s specific section. when
Anscombe comes out with her “Intention,” Grice’s Play Group does not know what
to do. Hampshire is almost finished with his “Thought and action” that came out
the following year. Grice is lecturing on how a “dispositional” reductive
analysis of ‘intention’ falls short of his favoured instrospectionalism. Had he
not fallen for an intention-based semantics (or strictly, an analysis of
"U means that p" in terms of U intends that p"), Grice
would be obsessed with an analysis of ‘intending that …’ James makes an
observation about the that-clause. I will that the distant table slides over
the floor toward me. It does not. The Anscombe Society. Irish-born Anscombe’s
views are often discussed by Oxonian philosophers. She brings Witters to the
Dreaming Spires, as it were. Grice is especially connected with Anscombes
reflections on intention. While he favoures an approach such as that of
Hampshire in Thought and Action, Grice borrows a few points from Anscombe, notably
that of direction of fit, originally Austin’s. Grice explicitly refers to
Anscombe in “Uncertainty,” and in his reminiscences he hastens to add that Anscombe
would never attend any of the Saturday mornings of the play group, as neither
does Dummett. The view of Ryle is standardly characterised as a weaker or
softer version of behaviourism According to this standard interpretation, the
view by Ryle is that a statements containin this or that term relating to the
‘soul’ can be translated, without loss of meaning, into an ‘if’ utterance about
what an agent does. So Ryle, on this account, is to be construed as offering a
dispositional analysis of a statement about the soul into a statement about
behaviour. It is conceded that Ryle does not confine a description of what the
agent does to purely physical behaviour—in terms, e. g. of a skeletal or a
muscular description. Ryle is happy to speak of a full-bodied action like
scoring a goal or paying a debt. But the soft behaviourism attributed to Ryle
still attempts an analysis or translation of statement about the soul into this
or that dispositional statement which is itself construed as subjunctive if describing
what the agent does. Even this soft behaviourism fails. A description of the
soul is not analysable or translatable into a statement about behaviour or
praxis even if this is allowed to include a non-physical descriptions
of action. The list of conditions and possible behaviour is infinite since any
one proffered translation may be ‘defeated,’ as Hart and Hall would say, by a slight
alteration of the circumstances. The defeating condition in any particular case
may involve a reference to a fact about the agent’s soul, thereby rendering the
analysis circular. In sum, the standard interpretation of Ryle construes him as
offering a somewhat weakened form of reductive behaviourism whose reductivist
ambition, however weakened, is nonetheless futile. This characterisation
of Ryle’s programme is wrong. Although it is true that he is keen to point out
the disposition behind this or that concept about the soul, it would be wrong
to construe Ryle as offering a programme of analysis of a ‘soul’ predicate in
terms of an ‘if’ utterance. The relationship between a ‘soul’ predicate and the
‘if’ utterance with which he unpack it is other than that required by this kind
of analysis. It is helpful to keep in mind that Ryle’s target is the
official doctrine with its eschatological commitment. Ryle’s argument serves to
remind one that we have in a large number of cases ways of telling or settling
disputes, e. g., about someone’s character or intellect. If A disputes a
characterisation of Smith as willing that p, or judging that p, B may point to
what Smith says and does in defending the attribution, as well as to features
of the circumstances. But the practice of giving a reason of this kind to
defend or to challenge an ascription of a ‘soul’ predicates would be put under
substantial pressure if the official doctrine is correct. For Ryle to
remind us that we do, as a matter of fact, have a way of settling disputes
about whether Smith wills that he eat an apple is much weaker than saying that
the concept of willing is meaningless unless it is observable or verifiable; or
even that the successful application of a soul predicate requires that we have
a way of settling a dispute in every case. Showing that a concept is one for
which, in a large number of cases, we have an agreement-reaching procedure,
even if it do not always guarantee success, captures an important point,
however: it counts against any theory of, e. g., willing that would render it
unknowable in principle or in practice whether or not the concept is
correctly applied in every case. And this is precisely the problem with the
official doctrine (and is still a problem, with some of its progeny. Ryle
points out that there is a form of dilemma that pits the reductionist against
the dualist: those whose battle-cry is ‘nothing but…’ and those who insist
on ‘something else as well.’ Ryle attempts a dissolution of the dilemma by
rejecting the two horns; not by taking sides with either one, though part of
what dissolution requires in this case, as in others, is a description of how
each side is to be commended for seeing what the other side does not, and
criticised for failing to see what the other side does. The attraction of
behaviourism, Ryle reminds us, is simply that it does not insist on an occult
happening as the basis upon which a ‘soul’ term is given meaning, and points to
a perfectly observable criterion that is by and large employed when we are
called upon to defend or correct our employment of a ‘soul’ term. The problem
with behaviourism is that it has a too-narrow view both of what counts as
behaviour and of what counts as observable. Then comes Grice to play with
meaning and intending, and allowing for deeming an avowal of this or that souly
state as, in some fashion, incorrigible. For Grice, while U does have, ceteris
paribus privileged access to each state of his soul, only his or that avowal of
this or that souly state is deemed incorrigible. This concerns communication as
involving intending. Grice goes back to this at Brighton. He plays with G
judges that it is raining, G judges that G judges that it is raining. Again,
Grice uses a subscript: “G judges2 that it is raining.” If now G
expresses that it is raining, G judges2 that it is raining. A
second-order avowal is deemed incorrigible. It is not surprising the the
contemporary progeny of the official doctrine sees a behaviourist in Grice. Yet
a dualist is badly off the mark in his critique of Grice. While Grice does
appeal to a practice and a habif, and even the more technical ‘procedure’ in
the ordinary way as ‘procedure’ is used in ordinary discussion. Grice does not
make a technical concept out of them as one expect of some behavioural
psychologist, which he is not. He is at most a philosophical psychologist, and
a functionalist one, rather than a reductionist one. There is nothing in any
way that is ‘behaviourist’ or reductionist or physicalist about Grice’s talk.
It is just ordinary talk about behaviour. There is nothing exceptional in
talking about a practice, a customs, or a habit regarding communication. Grice
certainly does not intend that this or that notion, as he uses it, gives anything
like a detailed account of the creative open-endedness of a
communication-system. What this or that anti-Griceian has to say IS essentially
a diatribe first against empiricism (alla Quine), secondarily against a
Ryle-type of behaviourism, and in the third place, Grice. In more reasoned and
dispassionate terms, one would hardly think of Grice as a behaviourist (he in
fact rejects such a label in “Method”), but as an intentionalist. When we call
Grice an intentionalist, we are being serious. As a modista, Grice’s keyword is
intentionalism, as per the good old scholastic ‘intentio.’ We hope so. This is
Aunt Matilda’s conversational knack. Grice keeps a useful correspondence with
Suppes which was helpful. Suppes takes Chomsky more seriously than an Oxonian
philosopher would. An Oxonian philosopher never takes Chomsky too seriously. Granted,
Austin loves to quote “Syntactic Structures” sentence by sentence for fun,
knowing that it would never count as tutorial material. Surely “Syntactic
Structures” would not be a pamphlet a member of the play group would use to
educate his tutee. It is amusing that when he gives the Locke lectures, Chomsky
cannot not think of anything better to do but to criticise Grice, and citing him
from just one reprint in the collection edited by, of all people, Searle. Some
gratitude. The references are very specific to Grice. Grice feels he needs to
provide, he thinks, an analysis ‘mean’ as metabolically applied to an expression.
Why? Because of the implicaturum. By uttering x (thereby explicitly conveying
that p), U implicitly conveys that q iff U relies on some procedure in his and
A’s repertoire of procedures of U’s and A’s communication-system. It is this
talk of U’s being ‘ready,’ and ‘having a procedure in his repertoire’ that
sounds to New-World Chomsky too Morrisian, as it does not to an Oxonian.
Suppes, a New-Worlder, puts himself in Old-Worlder Grice’s shoes about this. Chomsky
should never mind. When an Oxonian philosopher, not a psychologist, uses ‘procedure’
and ‘readiness,’ and having a procedure in a repertoire, he is being Oxonian
and not to be taken seriously, appealing to ordinary language, and so on.
Chomsky apparently does get it. Incidentally, Suppess has defended Grice
against two other targets, less influential. One is Hungarian-born J. I. Biro,
who does not distinguish between reductive analysis and reductionist analysis,
as Grice does in his response to Somervillian Rountree-Jack. The other target
is perhaps even less influential: P. Yu in a rather simplistic survey of the
Griceian programme for a journal that Grice finds too specialized to count, “Linguistics
and Philosophy.” Grice is always ashamed and avoided of being described as “our
man in the philosophy of language.” Something that could only have happened in
the Old World in a red-brick university, as Grice calls it. Suppes contributes to PGRICE with an
excellent ‘The primacy of utterers meaning,’ where he addresses what he rightly
sees as an unfair characterisations of Grice as a behaviourist. Suppes’s use of
“primacy” is genial, since its metabole which is all about. Biro actually responds
to Suppes’s commentary on Grice as proposing a reductive but not reductionist
analysis of meaning. Suppes rightly characterises Grice as an Oxonian ‘intentionalist’
(alla Ogden), as one would characterize Hampshire, with philosophical
empiricist, and slightly idealist, or better ideationalist, tendencies, rather.
Suppes rightly observes that Grice’ use of such jargon is meant to impress.
Surely there are more casual ways of referring to this or that utterer having a
basic procedure in his repertoire. It is informal and colloquial, enough,
though, rather than behaviouristically, as Ryle would have it. Grice is very
happy that in the New World Suppes teaches him how to use ‘primacy’ with a
straight face! Intentionalism is also all the vogue in Collingwood reading
Croce, and Gardiner reading Marty via Ogden, and relates to expression. In his
analysis of intending Grice is being very Oxonian, and pre-Austinian: relying,
just to tease leader Austin, on Stout, Wilson, Bosanquet, MacMurray, and
Pritchard. Refs.: There are two sets of essays. An early one on ‘disposition
and intention,’ and the essay for The British Academy (henceforth, BA). Also
his reply to Anscombe and his reply to Davidson. There is an essay on the
subjective condition on intention. Obviously, his account of communication has
been labeled the ‘intention-based semantic’ programme, so references under
‘communication’ above are useful. BANC.Grice's reductIOn, or partial reduction
anyway, of meamng to intention places a heavy load on the theory of intentions.
But in the articles he has written about these matters he has not been very
explicit about the structure of intentIOns. As I understand his position on
these matters, it is his view that the defence of the primacy of utterer's
meaning does not depend on having worked out any detailed theory of intention.
It IS enough to show how the reduction should be thought of in a schematic
fashion in order to make a convincing argument. I do think there is a fairly
straightforward extenSIOn of Grice's ideas that provides the right way of
developing a theory of intentIOns appropnate for Ius theory of utterer's
meaning. Slightly changing around some of the words m Grice we have the
following The Primacy of Utterer's Meaning 125 example. U utters '''Fido is
shaggy", if "U wants A to think that U thinks that Jones's dog is
hairy-coated.'" Put another way, U's intention is to want A to think U
thinks that Jones's dog is hairy-coated. Such intentions clearly have a
generative structure similar but different from the generated syntactic
structure we think of verbal utterances' having. But we can even say that the
deep structures talked about by grammarians of Chomsky's ilk could best be
thought of as intentions. This is not a suggestion I intend to pursue
seriously. The important point is that it is a mistake to think about
classifications of intentions; rather, we should think in terms of mechanisms
for generating intentions. Moreover, it seems to me that such mechanisms in the
case of animals are evident enough as expressed in purposeful pursuit of prey
or other kinds of food, and yet are not expressed in language. In that sense
once again there is an argument in defence of Grice's theory. The primacy of
utterer's meaning has primacy because of the primacy of intention. We can have
intentions without words, but we cannot have words of any interest without
intentions. In this general context, I now turn to Biro's (1979) interesting
criticisms of intentionalism in the theory of meaning. Biro deals from his own
standpoint with some of the issues I have raised already, but his central
thesis about intention I have not previously discussed. It goes to the heart of
controversies about the use of the concept of intention to explain the meaning
of utterances. Biro puts his point in a general way by insisting that utterance
meaning must be separate from and independent of speaker's meaning or, in the
terminology used here, utterer's meaning. The central part of his argument is
his objection to the possibility of explaining meaning in terms of intentions.
Biro's argument goes like this: 1. A central purpose of speech is to enable
others to learn about the speaker's intentions. 2. It will be impossible to
discover or understand the intentions of the speaker unless there are
independent means for understanding what he says, since what he says will be
primary evidence about his intentions. 3. Thus the meaning of an utterance must
be conceptually independent of the intentions of the speaker. This is an
appealing positivistic line. The data relevant to a theory or hypothesis must
be known independently of the hypothesis. Biro is quick to state that he is not
against theoretical entities, but the way in which he separates theoretical
entities and observable facts makes clear the limited role he wants them to
play, in this case the theoretical entities being intentions. The central idea
is to be found in the following passage: The point I am insisting on here is
merely that the ascription of an intention to an agent has the character of an
hypothesis, something invoked to explain phenomena which may be described
independently of that explanation (though not necessarily independently of the
fact that they fall into a class for which the hypothesis in question generally
or normally provides an explanation). (pp. 250-1.) [The italics are Biro's.]
Biro's aim is clear from this quotation. The central point is that the data
about intentions, namely, the utterance, must be describable independently of
hypotheses about the intentions. He says a little later to reinforce this: 'The
central pointis this: it is the intention-hypothesis that is revisable, not the
act-description' (p. 251). Biro's central mistake, and a large one too, is to
think that data can be described independently of hypotheses and that somehow there
is a clean and simple version of data that makes such description a natural and
inevitable thing to have. It would be easy enough to wander off into a
description of such problems in physics, where experiments provide a veritable
wonderland of seemingly arbitrary choices about what to include and what to
exclude from the experimental experience as 'relevant data', and where the
arbitrariness can only be even partly understood on the basis of understanding
the theories bemg tested. Real data do not come in simple linear strips like
letters on the page. Real experiments are blooming confusions that never get
sorted out completely but only partially and schematically, as appropriate to
the theory or theories being tested, and in accordance with the traditions and
conventions of past similar experiments. makes a point about the importance of
convention that I agree but it is irrelevant to my central of controversy with What I say about experiments is even more true
of undisciplined and unregulated human interactiono Experiments, especially in
physics, are presumably among the best examples of disciplined and structured
action. Most conversations, in contrast, are really examples of situations of
confusion that are only straightened out under strong hypotheses of intentions
on the of speakers and listeners as well. There is more than one level at which
the takes The Primacy of Utterer's Meaning 127 place through the beneficent use
of hypotheses about intentions. I shall not try to deal with all of them here but
only mention some salient aspects. At an earlier point, Biro says:The main
reason for introducing intentions into some of these analyses is precisely that
the public (broadly speaking) features of utterances -the sounds made, the
circumstances in which they are made and the syntactic and semantic properties
of these noises considered as linguistic items-are thought to be insufficient
for the specification of that aspect of the utterance which we call its
meaning. [po 244.] If we were to take this line of thought seriously and
literally, we would begin with the sound pressure waves that reach our ears and
that are given the subtle and intricate interpretation required to accept them
as speech. There is a great variety of evidence that purely acoustical concepts
are inadequate for the analysis of speech. To determine the speech content of a
sound pressure wave we need extensive hypotheses about the intentions that
speakers have in order to convert the public physical features of utterances
into intentional linguistic items. Biro might object at where I am drawing the
line between public and intentional, namely, at the difference between physical
and linguistic, but it would be part of my thesis that it is just because of
perceived and hypothesized intentions that we are mentally able to convert
sound pressure waves into meaningful speech. In fact, I can envisage a kind of
transcendental argument for the existence of intentions based on the
impossibility from the standpoint of physics alone of interpreting sound
pressure waves as speech. Biro seems to have in mind the nice printed sentences
of science and philosophy that can be found on the printed pages of treatises
around the world. But this is not the right place to begin to think about
meaning, only the end point. Grice, and everybody else who holds an intentional
thesis about meaning, recognizes the requirement to reach an account of such
timeless sentence meaning or linguistic meaning.In fact, Grice is perhaps more
ready than I am to concede that such a theory can be developed in a relatively
straightforward manner. One purpose of my detailed discussion of congruence of
meaning in the previous section is to point out some of the difficulties of
having an adequate detailed theory of these matters, certainly an adequate
detailed theory of the linguistic meaning or the sentence meaning. Even if I
were willing to grant the feasibility of such a theory, I would not grant the
use of it that Biro has made. For the purposes of this discussion printed text
may be accepted as well-defined, theoryindependent data. (There are even issues
to be raised about the printed page, but ones that I will set aside in the
present context. I have in mind the psychological difference between perception
of printed letters, words, phrases, or sentences, and that of related but
different nonlinguistic marks on paper.) But no such data assumptions can be
made about spoken speech. Still another point of attack on Biro's positivistic
line about data concerns the data of stress and prosody and their role in
fixing the meaning of an utterance. Stress and prosody are critical to the
interpretation of the intentions of speakers, but the data on stress and
prosody are fleeting and hard to catch on the fly_ Hypotheses about speakers'
intentions are needed even in the most humdrum interpret atins of what a given
prosodic contour or a given point of stress has contributed to the meaning of
the utterance spoken. The prosodic contour and the points of stress of an
utterance are linguistic data, but they do not have the independent physical
description Biro vainly hopes for. Let me put my point still another way. I do
not deny for a second that conventions and traditions of speech play a role in
fixing the meaning of a particular utterance on a particular occasion. It is
not a matter of interpretmg afresh, as if the universe had just begun, a
particular utterance in terms of particular intentions at that time and place
without dependence upon past prior mtentions and the traditions of spoken
speech that have evolved in the community of which the speaker and listener are
a part. It is rather that hypotheses about intentions are operating continually
and centrally in the interpretation of what is said. Loose, live speech depends
upon such active 'on-line' interpretation of intention to make sense of what
has been said. If there were some absolutely agreed-upon concept of firm and
definite linguistlc meaning that Biro and others could appeal to, then it might
be harder to make the case I am arguing for. But I have already argued in the
discussion of congruence of meaning that this is precisely what is not the
case. The absence of any definite and satisfactory theory of linguistic meaning
argues also for movmg back to the more concrete and psychologically richer concept
of utterer's meaning. This is the place to begin the theory of meaning, and
this Itself rests to a very large extent on the concept of intention --
intention, (1) a characteristic of action, as when one acts intentionally or
with a certain intention; (2) a feature of one’s mind, as when one intends (has
an intention) to act in a certain way now or in the future. Betty, e.g.,
intentionally walks across the room, does so with the intention of getting a
drink, and now intends to leave the party later that night. An important
question is: how are (1) and (2) related? (See Anscombe, Intention, 1963, for a
groundbreaking treatment of these and other basic problems concerning
intention.) Some philosophers see acting with an intention as basic and as
subject to a three-part analysis. For Betty to walk across the room with the
intention of getting a drink is for Betty’s walking across the room to be
explainable (in the appropriate way) by her desire or (as is sometimes said)
pro-attitude in favor of getting a drink and her belief that walking across the
room is a way of getting one. On this desire-belief model (or wantbelief model)
the main elements of acting with an intention are (a) the action, (b)
appropriate desires (pro-attitudes) and beliefs, and (c) an appropriate
explanatory relation between (a) and (b). (See Davidson, “Actions, Reasons, and
Causes” in Essays on Actions and Events, 1980.) In explaining (a) in terms of
(b) we give an explanation of the action in terms of the agent’s purposes or
reasons for so acting. This raises the fundamental question of what kind of
explanation this is, and how it is related to explanation of Betty’s movements
by appeal to their physical causes. What about intentions to act in the future?
Consider Betty’s intention to leave the party later. Though the intended action
is later, this intention may nevertheless help explain some of Betty’s planning
and acting between now and then. Some philosophers try to fit such
futuredirected intentions directly into the desire-belief model. John Austin,
e.g., would identify Betty’s intention with her belief that she will leave
later because of her desire to leave (Lectures on Jurisprudence, vol. I, 1873).
Others see futuredirected intentions as distinctive attitudes, not to be
reduced to desires and/or beliefs. How is belief related to intention? One
question here is whether an intention to A requires a belief that one will A. A
second question is whether a belief that one will A in executing some intention
ensures that one intends to A. Suppose that Betty believes that by walking
across the room she will interrupt Bob’s conversation. Though she has no desire
to interrupt, she still proceeds across the room. Does she intend to interrupt
the conversation? Or is there a coherent distinction between what one intends
and what one merely expects to bring about as a result of doing what one
intends? One way of talking about such cases, due to Bentham (An Introduction
to the Principles of Morals and Legislation, 1789), is to say that Betty’s walking
across the room is “directly intentional,” whereas her interrupting the
conversation is only “obliquely intentional” (or indirectly intentional). --
intentional fallacy, the (purported) fallacy of holding that the meaning of a
work of art is fixed by the artist’s intentions. (Wimsatt and Beardsintensive
magnitude intentional fallacy 440 4065h-l.qxd 08/02/1999 7:40 AM Page 440 ley,
who introduced the term, also used it to name the [purported] fallacy that the
artist’s aims are relevant to determining the success of a work of art;
however, this distinct usage has not gained general currency.) Wimsatt and
Beardsley were formalists; they held that interpretation should focus purely on
the work of art itself and should exclude appeal to biographical information
about the artist, other than information concerning the private meanings the
artist attached to his words. Whether the intentional fallacy is in fact a
fallacy is a much discussed issue within aesthetics. Intentionalists deny that
it is: they hold that the meaning of a work of art is fixed by some set of the
artist’s intentions. For instance, Richard Wollheim (Painting as an Art) holds
that the meaning of a painting is fixed by the artist’s fulfilled intentions in
making it. Other intentionalists appeal not to the actual artist’s intentions,
but to the intentions of the implied or postulated artist, a construct of
criticism, rather than a real person. See also AESTHETIC FORMALISM, AESTHETICS,
INTENTION. B.Ga. intentionality, aboutness. Things that are about other things
exhibit intentionality. Beliefs and other mental states exhibit intentionality,
but so, in a derived way, do sentences and books, maps and pictures, and other
representations. The adjective ‘intentional’ in this philosophical sense is a
technical term not to be confused with the more familiar sense, characterizing
something done on purpose. Hopes and fears, for instance, are not things we do,
not intentional acts in the latter, familiar sense, but they are intentional
phenomena in the technical sense: hopes and fears are about various things. The
term was coined by the Scholastics in the Middle Ages, and derives from the
Latin verb intendo, ‘to point (at)’ or ‘aim (at)’ or ‘extend (toward)’.
Phenomena with intentionality thus point outside of themselves to something
else: whatever they are of or about. The term was revived by the
nineteenth-century philosopher and psychologist Franz Brentano, who claimed
that intentionality defines the distinction between the mental and the
physical; all and only mental phenomena exhibit intentionality. Since
intentionality is an irreducible feature of mental phenomena, and since no
physical phenomena could exhibit it, mental phenomena could not be a species of
physical phenomena. This claim, often called the Brentano thesis or Brentano’s
irreducibility thesis, has often been cited to support the view that the mind
cannot be the brain, but this is by no means generally accepted today. There
was a second revival of the term in the 1960s and 1970s by analytic philosophers,
in particular Chisholm, Sellars, and Quine. Chisholm attempted to clarify the
concept by shifting to a logical definition of intentional idioms, the terms
used to speak of mental states and events, rather than attempting to define the
intentionality of the states and events themselves. Intentional idioms include
the familiar “mentalistic” terms of folk psychology, but also their technical
counterparts in theories and discussions in cognitive science, ‘X believes that
p,’ and ‘X desires that q’ are paradigmatic intentional idioms, but according
to Chisholm’s logical definition, in terms of referential opacity (the failure
of substitutivity of coextensive terms salva veritate), so are such less
familiar idioms as ‘X stores the information that p’ and ‘X gives high priority
to achieving the state of affairs that q’. Although there continue to be deep
divisions among philosophers about the proper definition or treatment of the
concept of intentionality, there is fairly widespread agreement that it marks a
feature – aboutness or content – that is central to mental phenomena, and hence
a central, and difficult, problem that any theory of mind must solve.
INTER-SUB-IAECTVM
-- intersubjective
– Grice: “Who was the first Grecian philosopher to philosophise on
conversational intersubjectivity? Surely Plato! Socrates is just his alter ego
– and after Aeschylus, there is always a ‘deuterogonist’”! conversational
intersubjectivity. Philosophical sociology – While Grice saw himself as a
philosophical psychologist, he would rather be seen dead than as a
philosophical sociologist – ‘intersubjective at most’! -- Comte: A. philosopher
and sociologist, the founder of positivism. He was educated in Paris at l’École
Polytechnique, where he briefly taught mathematics. He suffered from a mental
illness that occasionally interrupted his work. In conformity with empiricism,
Comte held that knowledge of the world arises from observation. He went beyond
many empiricists, however, in denying the possibility of knowledge of unobservable
physical objects. He conceived of positivism as a method of study based on
observation and restricted to the observable. He applied positivism chiefly to
science. He claimed that the goal of science is prediction, to be accomplished
using laws of succession. Explanation insofar as attainable has the same
structure as prediction. It subsumes events under laws of succession; it is not
causal. Influenced by Kant, he held that the causes of phenomena and the nature
of things-in-themselves are not knowable. He criticized metaphysics for
ungrounded speculation about such matters; he accused it of not keeping
imagination subordinate to observation. He advanced positivism for all the
sciences but held that each science has additional special methods, and has laws
not derivable by human intelligence from laws of other sciences. He
corresponded extensively with J. S. Mill, who Comte, Auguste Comte, Auguste
168 168 encouraged his work and
discussed it in Auguste Comte and Positivism 1865. Twentieth-century logical
positivism was inspired by Comte’s ideas. Comte was a founder of sociology,
which he also called social physics. He divided the science into two
branches statics and dynamics dealing
respectively with social organization and social development. He advocated a
historical method of study for both branches. As a law of social development,
he proposed that all societies pass through three intellectual stages, first
interpreting phenomena theologically, then metaphysically, and finally
positivistically. The general idea that societies develop according to laws of
nature was adopted by Marx. Comte’s most important work is his six-volume Cours
de philosophie positive Course in Positive Philosophy, 183042. It is an
encyclopedic treatment of the sciences that expounds positivism and culminates
in the introduction of sociology.
intervention -- intervening variable, in Grice’s
philosophical psychology, a state of an organism, person or, as Grice prefers,
a ‘pirot,’ (vide his ‘pirotology’) or ‘creature,’ postulated to explain the
pirot’s behaviour and defined in ‘functioanlist,’ Aristotelian terms of its
cause (perceptual input) and effect (the behavioural output to be explained by
attribution of a state of the ‘soul’) rather than its intrinsic properties. A
food drive or need for nuts, in a squarrel (as Grice calls his ‘Toby’) conceived
as an intervening variable, is defined in terms of the number of hours without
food (the cause) and the strength or robustness of efforts to secure it
(effect).. The squarrel’s feeling hungry (‘needing a nut), is no longer an
intrinsic property – the theoretical term ‘need’ is introduced in a ramseyified
sentence by describing – and it need not be co-related to a state in the brain
– since there is room for variable realisability. Grice sees at least three
reasons for postulating an intervening variable (like the hours without
nut-hobbling). First, time lapse between stimulus (perceptual input) and
behavioural output may be large, as when an animal – even a squirrel -- eats
food found hours earlier. Why did not the animal hobble the nut when it first
found it? Perhaps at the time of discovery, the squarrel had already eaten, so
food drive (the squarrel’s need) is reduced. Second, Toby may act differently
in the same sort of situation, as when Toby hobbles a nut at noon one day but
delay until sunset the next. Again, this may be because of variation in food
drive or the squarrel’s need. Third, behaviour may occur in the absence of
external stimulation or perceptual input, as when Toby forages for nut for the
winter. This, too, may be explained by the strength of the food drive or
squarrel’s need. An intervening variables has been viewed, as Grice notes
reviewing Oxonian philosophical psychology from Stout to Ryle via Prichard) depending
on the background theory, as a convenient ‘fiction’ (as Ramsey, qua theoretical
construct) or as a psychologically real state, or as a physically real state
with multiple realisability conditions. Refs.: H. P. Grice, “Method in
philosophical psychology: from the banal to the bizarre,” in “The Conception of
value.”
intuitum: Grice: “At Oxford, the tutor
teaches to trust your ‘intuition’ – and will point to the cognateness of
‘tutor’ and ‘in-tuition’!” – tŭĕor , tuĭtus, 2 ( I.perf. only post-Aug.,
Quint. 5, 13, 35; Plin. Ep. 6, 29, 10; collat. form tūtus, in the part., rare,
Sall. J. 74, 3; Front. Strat. 2, 12, 13; but constantly in the P. a.; inf.
parag. tuerier, Plaut. Rud. 1, 4, 35; collat. form acc. to the 3d conj. tŭor ,
Cat. 20, 5; Stat. Th. 3, 151: “tuĕris,” Plaut. Trin. 3, 2, 82: “tuimur,” Lucr.
1, 300; 4, 224; 4, 449; “6, 934: tuamur,” id. 4, 361: “tuantur,” id. 4, 1004;
imper. tuĕre, id. 5, 318), v. dep. a. [etym. dub.], orig., to see, to look or
gaze upon, to watch, view; hence, pregn., to see or look to, to defend,
protect, etc.: tueri duo significat; unum ab aspectu, unde est Ennii illud:
tueor te senex? pro Juppiter! (Trag. v. 225 Vahl.); “alterum a curando ac
tutela, ut cum dicimus bellum tueor et tueri villam,” Varr. L. L. 7, § 12 Müll.
sq.—Accordingly, I. To look at, gaze at, behold, watch, view, regard, consider,
examine, etc. (only poet.; syn.: specto, adspicio, intueor): quam te post
multis tueor tempestatibus, Pac. ap. Non. 407, 32; 414, 3: “e tenebris, quae
sunt in luce, tuemur,” Lucr. 4, 312: “ubi nil aliud nisi aquam caelumque
tuentur,” id. 4, 434: “caeli templa,” id. 6, 1228 al.: “tuendo Terribiles
oculos, vultum, etc.,” Verg. A. 8, 265; cf. id. ib. 1, 713: “talia dicentem jam
dudum aversa tuetur,” id. ib. 4, 362: “transversa tuentibus hircis,” id. E. 3,
8: “acerba tuens,” looking fiercely, Lucr. 5, 33; cf. Verg. A. 9, 794: “torva,”
id. ib. 6, 467.— (β). With object-clause: “quod multa in terris fieri caeloque
tuentur (homines), etc.,” Lucr. 1, 152; 6, 50; 6, 1163.— II. Pregn., to look to,
care for, keep up, uphold, maintain, support, guard, preserve, defend, protect,
etc. (the predom. class. signif. of the word; cf.: “curo, conservo, tutor,
protego, defendo): videte, ne ... vobis turpissimum sit, id, quod accepistis,
tueri et conservare non posse,” Cic. Imp. Pomp. 5, 12: “ut quisque eis rebus
tuendis conservandisque praefuerat,” Cic. Verr. 2, 4, 63, 140: “omnia,” id. N.
D. 2, 23, 60: “mores et instituta vitae resque domesticas ac familiares,” id.
Tusc. 1, 1, 2: “societatem conjunctionis humanae munifice et aeque,” id. Fin.
5, 23, 65: “concordiam,” id. Att. 1, 17, 10: rem et gratiam et auctoritatem
suam, id. Fam. 13, 49, 1: “dignitatem,” id. Tusc. 2, 21, 48: “L. Paulus
personam principis civis facile dicendo tuebatur,” id. Brut. 20, 80: “personam
in re publicā,” id. Phil. 8, 10, 29; cf.: tuum munus, Planc. ap. Cic. Fam. 10,
11, 1: “tueri et sustinere simulacrum pristinae dignitatis,” Cic. Rab. Post.
15, 41: “aedem Castoris P. Junius habuit tuendam,” to keep in good order, Cic.
Verr. 2, 1, 50, § 130; cf. Plin. Pan. 51, 1: “Bassum ut incustoditum nimis et
incautum,” id. Ep. 6, 29, 10: “libertatem,” Tac. A. 3, 27; 14, 60: “se, vitam
corpusque tueri,” to keep, preserve, Cic. Off. 1, 4, 11: “antea majores copias
alere poterat, nunc exiguas vix tueri potest,” id. Deiot. 8, 22: “se ac suos
tueri,” Liv. 5, 4, 5: “sex legiones (re suā),” Cic. Par. 6, 1, 45: “armentum
paleis,” Col. 6, 3, 3: “se ceteris armis prudentiae tueri atque defendere,” to
guard, protect, Cic. de Or. 1, 38, 172; cf.: “tuemini castra et defendite
diligenter,” Caes. B. C. 3, 94: “suos fines,” id. B. G. 4, 8: “portus,” id. ib.
5, 8: “oppidum unius legionis praesidio,” id. B. C. 2, 23: “oram maritimam,”
id. ib. 3, 34: “impedimenta,” to cover, protect, Hirt. B. G. 8, 2.—With ab and
abl.: “fines suos ab excursionibus et latrociniis,” Cic. Deiot. 8, 22: “domum a
furibus,” Phaedr. 3, 7, 10: mare ab hostibus, Auct. B. Afr. 8, 2.—With contra:
“quos non parsimoniā tueri potuit contra illius audaciam,” Cic. Prov. Cons. 5,
11: “liberūm nostrorum pueritiam contra inprobitatem magistratuum,” Cic. Verr.
2, 1, 58, § 153; Quint. 5, 13, 35; Plin. 20, 14, 54, § 152; Tac. A. 6, 47
(41).—With adversus: “tueri se adversus Romanos,” Liv. 25, 11, 7: “nostra
adversus vim atque injuriam,” id. 7, 31, 3: “adversus Philippum tueri Athenas,”
id. 31, 9, 3; 42, 46, 9; 42, 23, 6: “arcem adversus tres cohortes tueri,” Tac.
H. 3, 78; Just. 17, 3, 22; 43, 3, 4.—In part. perf.: “Verres fortiter et
industrie tuitus contra piratas Siciliam dicitur,” Quint. 5, 13, 35 (al. tutatus):
“Numidas in omnibus proeliis magis pedes quam arma tuta sunt,” Sall. J. 74,
3.!*? 1. Act. form tŭĕo , ēre: “censores vectigalia tuento,” Cic. Leg. 3, 3, 7:
“ROGO PER SVPEROS, QVI ESTIS, OSSA MEA TVEATIS,” Inscr. Orell. 4788.— 2. tŭĕor
, ēri, in pass. signif.: “majores nostri in pace a rusticis Romanis alebantur
et in bello ab his tuebantur,” Varr. R. R. 3, 1, 4; Lucr. 4, 361: “consilio et
operā curatoris tueri debet non solum patrimonium, sed et corpus et salus
furiosi,” Dig. 27, 10, 7: “voluntas testatoris ex bono et aequo tuebitur,” ib.
28, 3, 17.—Hence, tūtus , a, um, P. a. (prop. well seen to or guarded; hence),
safe, secure, out of danger (cf. securus, free from fear). A. Lit. (α). Absol.:
“nullius res tuta, nullius domus clausa, nullius vita saepta ... contra tuam
cupiditatem,” Cic. Verr. 2, 5, 15, § 39: “cum victis nihil tutum
arbitrarentur,” Caes. B. G. 2, 28: “nec se satis tutum fore arbitratur,” Hirt.
B. G. 8, 27; cf.: “me biremis praesidio scaphae Tutum per Aegaeos tumultus Aura
feret,” Hor. C. 3, 29, 63; Ov. M. 8, 368: “tutus bos rura perambulat,” Hor. C.
4, 5, 17: “quis locus tam firmum habuit praesidium, ut tutus esset?” Cic. Imp.
Pomp. 11, 31: “mare tutum praestare,” id. Fl. 13, 31: “sic existimabat
tutissimam fore Galliam,” Hirt. B. G. 8, 54: “nemus,” Hor. C. 1, 17, 5: “via
fugae,” Cic. Caecin. 15, 44; cf.: “commodior ac tutior receptus,” Caes. B. C.
1, 46: “perfugium,” Cic. Rep. 1, 4, 8: “tutum iter et patens,” Hor. C. 3, 16,
7: “tutissima custodia,” Liv. 31, 23, 9: “praesidio nostro pasci genus esseque
tutum,” Lucr. 5, 874: “vitam consistere tutam,” id. 6, 11: “tutiorem et
opulentiorem vitam hominum reddere,” Cic. Rep. 1, 2, 3: est et fideli tuta
silentio Merces, secure, sure (diff. from certa, definite, certain), Hor. C. 3,
2, 25: “tutior at quanto merx est in classe secundā!” id. S. 1, 2, 47: “non est
tua tuta voluntas,” not without danger, Ov. M. 2, 53: “in audaces non est
audacia tuta,” id. ib. 10, 544: “externā vi non tutus modo rex, sed invictus,”
Curt. 6, 7, 1: “vel tutioris audentiae est,” Quint. 12, prooem. § 4: “
cogitatio tutior,” id. 10, 7, 19: “fuit brevitas illa tutissima,” id. 10, 1,
39: “regnum et diadema tutum Deferens uni,” i. e. that cannot be taken away,
Hor. C. 2, 2, 21: male tutae mentis Orestes, i. e. unsound, = male sanae, id.
S. 2, 3, 137: quicquid habes, age, Depone tutis auribus, qs. carefully guarded,
i. e. safe, faithful, id. C. 1, 27, 18 (cf. the opp.: auris rimosa, id. S. 2,
6, 46).—Poet., with gen.: “(pars ratium) tuta fugae,” Luc. 9, 346.— (β). With
ab and abl.: tutus ab insidiis inimici, Asin. ap. Cic. Fam. 10, 31, 2: “ab
insidiis,” Hor. S. 2, 6, 117: “a periculo,” Caes. B. G. 7, 14: “ab hoste,” Ov.
H. 11, 44: “ab hospite,” id. M. 1, 144: “a conjuge,” id. ib. 8, 316: “a ferro,”
id. ib. 13, 498: “a bello, id. H. (15) 16, 344: ab omni injuriā,” Phaedr. 1,
31, 9.— (γ). With ad and acc.: “turrim tuendam ad omnis repentinos casus
tradidit,” Caes. B. C. 3, 39: “ad id, quod ne timeatur fortuna facit, minime
tuti sunt homines,” Liv. 25, 38, 14: “testudinem tutam ad omnes ictus video
esse,” id. 36, 32, 6.— (δ). With adversus: “adversus venenorum pericula tutum
corpus suum reddere,” Cels. 5, 23, 3: “quo tutiores essent adversus ictus
sagittarum,” Curt. 7, 9, 2: “loci beneficio adversus intemperiem anni tutus
est,” Sen. Ira, 2, 12, 1: “per quem tutior adversus casus steti,” Val. Max. 4,
7, ext. 2: “quorum praesidio tutus adversus hostes esse debuerat,” Just. 10, 1,
7.—(ε) With abl.:
incendio fere tuta est Alexandria, Auct. B. Alex. 1, 3.— b. Tutum est, with a
subj. -clause, it is prudent or safe, it is the part of a prudent man: “si
dicere palam parum tutum est,” Quint. 9, 2, 66; 8, 3, 47; 10, 3, 33: “o nullis
tutum credere blanditiis,” Prop. 1, 15, 42: “tutius esse arbitrabantur,
obsessis viis, commeatu intercluso sine ullo vulnere victoriā potiri,” Caes. B.
G. 3, 24; Quint. 7, 1, 36; 11, 2, 48: “nobis tutissimum est, auctores plurimos
sequi,” id. 3, 4, 11; 3, 6, 63.— 2. As subst.: tūtum , i, n., a place of
safety, a shelter, safety, security: Tr. Circumspice dum, numquis est, Sermonem
nostrum qui aucupet. Th. Tutum probe est, Plaut. Most. 2, 2, 42: “tuta et
parvula laudo,” Hor. Ep. 1, 15, 42: “trepidum et tuta petentem Trux aper
insequitur,” Ov. M. 10, 714: “in tuto ut collocetur,” Ter. Heaut. 4, 3, 11:
“esse in tuto,” id. ib. 4, 3, 30: “ut sitis in tuto,” Cic. Fam. 12, 2, 3: “in
tutum eduxi manipulares meos,” Plaut. Most. 5, 1, 7: “in tutum receptus est,”
Liv. 2, 19, 6.— B. Transf., watchful, careful, cautious, prudent (rare and not
ante-Aug.; “syn.: cautus, prudens): serpit humi tutus nimium timidusque
procellae,” Hor. A. P. 28: “tutus et intra Spem veniae cautus,” id. ib. 266:
“non nisi vicinas tutus ararit aquas,” Ov. Tr. 3, 12, 36: “id suā sponte,
apparebat, tuta celeribus consiliis praepositurum,” Liv. 22, 38, 13: “celeriora
quam tutiora consilia magis placuere ducibus,” id. 9, 32, 3.—Hence, adv. in two
forms, tūtē and tūtō , safely, securely, in safety, without danger. a. Posit.
(α). Form tute (very rare): “crede huic tute,” Plaut. Trin. 1, 2, 102: “eum
tute vivere, qui honeste vivat,” Auct. Her. 3, 5, 9: “tute cauteque agere,” id.
ib. 3, 7, 13.— (β). Form tuto (class. in prose and poetry): “pervenire,” Plaut.
Mil. 2, 2, 70; Lucr. 1, 179: “dimicare,” Caes. B. G. 3, 24: “tuto et libere
decernere,” id. B. C. 1, 2: “ut tuto sim,” in security, Cic. Fam. 14, 3, 3: “ut
tuto ab repentino hostium incursu etiam singuli commeare possent,” Caes. B. G.
7, 36. — b. Comp.: “ut in vadis consisterent tutius,” Caes. B. G. 3, 13:
“tutius et facilius receptus daretur,” id. B. C. 2, 30: “tutius ac facilius id
tractatur,” Quint. 5, 5, 1: “usitatis tutius utimur,” id. 1, 5, 71: “ut ubivis
tutius quam in meo regno essem,” Sall. J. 14, 11.— c. Sup. (α). Form tutissime:
nam te hic tutissime puto fore, Pomp. ap. Cic. Att. 8, 11, A.— (β). Form tutissimo:
“quaerere, ubi tutissimo essem,” Cic. Att. 8, 1, 2; cf. Charis. p. 173 P.:
“tutissimo infunduntur oboli quattuor,” Plin. 20, 3, 8, § 14. Grice was
especially interested in the misuses of intuition. He found that J. L. Austin
(born in Lancaster) had “Northern intuitions.” “I myself have proper
heart-of-England intuitions.” “Strawson has Cockney intuitions.” “I wonder how
we conducted those conversations on Saturday mornings!” “Strictly, an
intuition is a non-inferential knowledge or grasp, as of a proposition,
concept, or entity, that is not based on perception, memory, or introspection;
also, the capacity in virtue of which such cognition is possible. A person
might know that 1 ! 1 % 2 intuitively, i.e., not on the basis of inferring it
from other propositions. And one might know intuitively what yellow is, i.e.,
might understand the concept, even though ‘yellow’ is not definable. Or one
might have intuitive awareness of God or some other entity. Certain mystics
hold that there can be intuitive, or immediate, apprehension of God. Ethical
intuitionists hold both that we can have intuitive knowledge of certain moral
concepts that are indefinable, and that certain propositions, such as that
pleasure is intrinsically good, are knowable through intuition. Self-evident
propositions are those that can be seen (non-inferentially) to be true once one
fully understands them. It is often held that all and only self-evident
propositions are knowable through intuition, which is here identified with a
certain kind of intellectual or rational insight. Intuitive knowledge of moral
or other philosophical propositions or concepts has been compared to the
intuitive knowledge of grammaticality possessed by competent users of a
language. Such language users can know immediately whether certain sentences
are grammatical or not without recourse to any conscious reasoning. Refs.: H.
P. Grice, “My intutions.” BANC.
ionian-sea-coast philosophy: Grice, “Or
mar ionio, as the Italians have it!” -- the characteristically naturalist and
rationalist thought of Grecian philosophers of the sixth and fifth centuries
B.C. who were active in Ionia, the region of ancient Greek colonies on the
coast of Asia Minor and adjacent islands. First of the Ionian philosophers were
the three Milesians. Grice: “It always amused me that they called themselves
Ionians, but then Williams, who founded Providence in the New World, called
himself an Englishman!”. Refs.: H. P. Grice: “The relevance of Ionian
philosophy today.”
iron-age
metaphysics:
Euclidean geometry, the version of geometry that includes among its axioms the
parallel axiom, which asserts that, given a line L in a plane, there exists
just one line in the plane that passes through a point not on L but never meets
L. The phrase ‘Euclidean geometry’ refers both to the doctrine of geometry to
be found in Euclid’s Elements fourth century B.C. and to the mathematical
discipline that was built on this basis afterward. In order to present
properties of rectilinear and curvilinear curves in the plane and solids in
space, Euclid sought definitions, axioms, ethics, divine command Euclidean
geometry 290 290 and postulates to
ground the reasoning. Some of his assumptions belonged more to the underlying
logic than to the geometry itself. Of the specifically geometrical axioms, the
least self-evident stated that only one line passes through a point in a plane
parallel to a non-coincident line within it, and many efforts were made to
prove it from the other axioms. Notable forays were made by G. Saccheri, J. Playfair,
and A. M. Legendre, among others, to put forward results logically
contradictory to the parallel axiom e.g., that the sum of the angles between
the sides of a triangle is greater than 180° and thus standing as candidates
for falsehood; however, none of them led to paradox. Nor did logically
equivalent axioms such as that the angle sum equals 180° seem to be more or
less evident than the axiom itself. The next stages of this line of reasoning
led to non-Euclidean geometry. From the point of view of logic and rigor,
Euclid was thought to be an apotheosis of certainty in human knowledge; indeed,
‘Euclidean’ was also used to suggest certainty, without any particular concern
with geometry. Ironically, investigations undertaken in the late nineteenth century
showed that, quite apart from the question of the parallel axiom, Euclid’s
system actually depended on more axioms than he had realized, and that filling
all the gaps would be a formidable task. Pioneering work done especially by M.
Pasch and G. Peano was brought to a climax in 9 by Hilbert, who produced what
was hoped to be a complete axiom system. Even then the axiom of continuity had
to wait for the second edition! The endeavor had consequences beyond the
Euclidean remit; it was an important example of the growth of axiomatization in
mathematics as a whole, and it led Hilbert himself to see that questions like
the consistency and completeness of a mathematical theory must be asked at
another level, which he called metamathematics. It also gave his work a
formalist character; he said that his axiomatic talk of points, lines, and
planes could be of other objects. Within the Euclidean realm, attention has
fallen in recent decades upon “neo-Euclidean” geometries, in which the parallel
axiom is upheld but a different metric is proposed. For example, given a planar
triangle ABC, the Euclidean distance between A and B is the hypotenuse AB; but
the “rectangular distance” AC ! CB also satisfies the properties of a metric,
and a geometry working with it is very useful in, e.g., economic geography, as
anyone who drives around a city will readily understand. Grice: "Much
the most significant opposition to my type of philosophising comes from those
like Baron Russell who feel that ‘ “ordinary-language” philosophy’ is an
affront to science and to intellectual progress, and who regard exponents like
me as wantonly dedicating themselves to what the Baron calls 'stone-age metaphysics',
"The Baron claims that 'stone-age metaphysics' is the best that can be
dredged up from a ‘philosophical’ study of an ‘ordinary’ language, such as
Oxonian, as it ain't. "The use made of Russell’s phrase ‘stone-age
metaphysics’ has more rhetorical appeal than argumentative
force."“Certainly ‘stone-age’ *physics*, if by that we mean a
'primitive' (as the Baron puts it -- in contrast to 'iron-age physics') set of
hypotheses about how the world goes which might conceivably be embedded somehow
or other in an ‘ordinary’ language such as Oxonian, does not seem to be a
proper object for first-order devotion -- I'll grant the Baron that!"“But
this fact should *not* prevent something derivable or extractable
from ‘stone-age’ (if not 'iron-age') *physics*, perhaps some very
general characterization of the nature of reality, from being a proper target for
serious research.”"I would not be surprised if an extractable
characterization of this may not be the same as that which is extractable from,
or that which underlies, the Baron's favoured iron-age physics!"
iron-age
physics: Grice on Russellian compresence,
an unanalyzable relation in terms of which Russell, in his later writings
especially in Human Knowledge: Its Scope and Limits, 8, took concrete
particular objects to be analyzable. Concrete particular objects are analyzable
in terms of complexes of qualities all of whose members are compresent.
Although this relation can be defined only ostensively, Russell states that it
appears in psychology as “simultaneity in one experience” and in physics as
“overlapping in space-time.” Complete complexes of compresence are complexes of
qualities having the following two properties: 1 all members of the complex are
compresent; 2 given anything not a member of the complex, there is at least one
member of the complex with which it is not compresent. He argues that there is
strong empirical evidence that no two complete complexes have all their
qualities in common. Finally, space-time pointinstants are analyzed as complete
complexes of compresence. Concrete particulars, on the other hand, are analyzed
as series of incomplete complexes of compresence related by certain causal
laws.
SEQUITVR/NON-SEQVITVR
-- non sequitur
--: irrationality, unreasonableness. Whatever it entails, irrationality can
characterize belief, desire, intention, and action. intuitions irrationality
443 4065h-l.qxd 08/02/1999 7:40 AM Page 443 Irrationality is often explained in
instrumental, or goal-oriented, terms. You are irrational if you (knowingly)
fail to do your best, or at least to do what you appropriately think adequate,
to achieve your goals. If ultimate goals are rationally assessable, as
Aristotelian and Kantian traditions hold, then rationality and irrationality
are not purely instrumental. The latter traditions regard certain specific
(kinds of) goals, such as human well-being, as essential to rationality. This
substantialist approach lost popularity with the rise of modern decision
theory, which implies that, in satisfying certain consistency and completeness
requirements, one’s preferences toward the possible outcomes of available actions
determine what actions are rational and irrational for one by determining the
personal utility of their outcomes. Various theorists have faulted modern
decision theory on two grounds: human beings typically lack the consistent
preferences and reasoning power required by standard decision theory but are
not thereby irrational, and rationality requires goods exceeding maximally
efficient goal satisfaction. When relevant goals concern the acquisition of
truth and the avoidance of falsehood, epistemic rationality and irrationality
are at issue. Otherwise, some species of non-epistemic rationality or
irrationality is under consideration. Species of non-epistemic rationality and
irrationality correspond to the kind of relevant goal: moral, prudential, political,
economic, aesthetic, or some other. A comprehensive account of irrationality
will elucidate epistemic and non-epistemic irrationality as well as such
sources of irrationality as weakness of will and ungrounded belief.
esse:“est” (“Homo
animale rationalis est” – Aristotle, cited by Grice in “Aristotle on the
multiplicity of being”) – “is” is the third person singular form of the verb
‘be’, with at least three fundamental usages that philosophers distinguish
according to the resources required for a proper semantic representation. First,
there is the ‘is’ of existence, which Grice finds otiose – “Marmaduke Bloggs is
a journalist who climbed Mt Everest on hands and knees – a typical invention by
journalists”. (There is a unicorn in the garden: Dx (Ux8Gx)) uses the
existential quantifier. Bellerophon’s dad: “There is a flying horse in the
stable.” “That’s mine, dad.” – Then, second, there is the ‘is’ of identity
(Hesperus is Phosphorus: j % k) employs the predicate of identity, or dyadic
relation of “=,” as per Leibniz’s problem – “The king of France” – Kx = Ky.
Then third there is the ‘is’ of predication, which can be essential (izzing) or
accidentail (hazzing). (Samson is strong: Sj) merely juxtaposes predicate
symbol and proper name. Some controversy attends the first usage. Some (notably
that eccentric philosopher that went by the name of Meinong) maintain that ‘is’
applies more broadly than ‘exists.’ “Is” produces truths when combined with
‘deer’ and ‘unicorn.’ ‘Exists,’ rather than ‘is’, produces a truth when
combined with ‘deer’ -- but not ‘unicorn’. Aquinas takes “esse” to denote some
special activity that every existing thing necessarily performs, which would seem
to imply that with ‘est’ they attribute more to an object than we do with
‘exists’. Other issues arise in connection with the second usage. Does, e.g. “Hesperus
is Phosphorus,” attribute anything more to the heavenly body than its identity
with itself? Consideration of such a question leads Frege, wrongly to conclude,
in what Ryle calls the “Fido”-Fido theory of meaning that names (and other
meaningful expressions) of ordinary language have a “sense” or “mode of
presenting” the thing to which they refer that representations within our
standard, extensional logical systems fail to expose. The distinction between
the ‘is’ of identity and the ‘is’ of predication parallels Frege’s distinction
between ‘objekt” and concept: words signifying objects stand to the right of
the ‘is’ of identity and those signifying concepts stand to the right of the
‘is’ of predication. Although it seems remarkable that so many deep and
difficult philosophical concepts should link to a single short and commonplace
word, we should perhaps not read too much into that observation. Grecian and
Roman indeed divide the various roles played by English’s compact copula among
several constructions, but there are dialects, even within Oxford, that use the
expression “is” for other purposes. Refs.: H. P. Grice, “Aristotle on the
multiplicity of being.”
-ism: used by Grice
derogatorily. In his ascent to the City of the Eternal Truth, he meets twelve
–isms, which he orders alphabetically. These are: Empiricism. Extensionalism.
Functionalism. MaterialismMechanism. Naturalism. Nominalism. Phenomenalism.
Positivism. Physicalism. Reductionism. Scepticism. Grice’s implicaturum is that
each is a form of, er, minimalism, as opposed to maximalism. He also seems to
implicate that, while embracing one of those –isms is a reductionist vice,
embracing their opposites is a Christian virtue – He explicitly refers to the
name of Bunyan’s protagonist, “Christian” – “in a much more publicized journey,
I grant.” So let’s see how we can correlate each vicious heathen ism with the
Griceian Christian virtuous ism. Empiricism. “Surely not all is experience. My
bones are not.” Opposite: Rationalism. Extensionalism. Surely the empty set
cannot end up being the fullest! Opposite Intensionalism. Functionalism. What
is the function of love? We have to extend functionalism to cover one’s concern
for the other – And also there’s otiosity. Opposite: Mentalism. Materialism –
My bones are ‘hyle,’ but my eternal soul isn’t. Opposite Spiritualism. Mechanism – Surely there is finality in
nature, and God designed it. Opposite Vitalism. Naturalism – Surely Aristotle
meant something by ‘ta meta ta physica,’ There is a transnatural realm.
Opposite: Transnaturalism. Nominalism.
Occam was good, except with his ‘sermo mentalis.’ Opposite: Realism.
Phenomenalism – Austin and Grice soon realised that Berlin was wrong. Opposite
‘thing’-language-ism. Positivism – And then there’s not. Opposite: Negativism. Physicalism – Surely my soul is not a brain
state. Opposite: Transnaturalism, since Physicalismm and Naturalism mean the
same thing, ony in Greek, the other in Latin. Reductionism – Julie is wrong when she thinks
I’m a reductionist. Opposite: Reductivism. Scepticism: Surely there’s common sense.
Opposite: Common-Sensism. Refs: H. P. Grice, “Prejudices and predilections;
which become, the life and opinions of H. P. Grice,” The Grice Papers, BANC.
isocrates – Grice: “the
chief rival of Plato.” A pupil of Socrates and also of Gorgias, Isocrates founds
a play group or club in Athens – vide H. P. Grice, “Athenian dialectic” -- that
attracts many aristocrats. Many of Isocrates’s philosophy touches on
‘dialectic.’ “Against the Sophists and On the Antidosis are most important in
this respect. “On the antidosis” stands to Isocrates as the “Apology” of Plato
stands to Socrates, a defense of Socrates against an attack not on his life,
but on his property. The aim of Isocrates’s philosophy is good judgment in practical
affairs, and he believes his contribution to Greece through education more
valuable than legislation could possibly be. Isocrates repudiates instruction
in theoretical (what he called ‘otiose’) philosophy, and insisted on
distinguishing his teaching of rhetoric from the sophistry that gives clever
speakers an unfair advantage. In politics Isocrates is a Panhellenic patriot,
and urges the warring Greek city-states to unite under strong leadership and
take arms against the Persian Empire. His most famous work, and the one in
which he took the greatest pride, is the “Panegyricus,” a speech in praise of
Athens. In general, Isocrates supports democracy in Athens, but toward the end
of his life complained bitterly of abuses of the system.
Istituto italiano per gli studi
filosofici: the title is telling, This is an institute for philosophical
studies, aka ‘research.’ Cf. Witters, “Philosophische untersuchungen,”
translated as ‘investigations.’ Grice prefers ‘studio,’ as in ‘studi’ (Studies
in the way of words).
italiano: an evolution from Roman, or Latin. A
topic that fascinated Grice. Grice: “Most of Italian philosophical vocabulary,
if not all, is Roman in origin. There
are a few terms from Etrurian, and even fewer from Uscan. This is good, because
Anglo-Saxon, like Roman, are Aryan, so the roots have a bite with an Englishman
like me.” Grice: “Most Italians regard ‘Italian’ as a universal. There’s
Tuscan, and Ligurian, and Venetian. But no Italian!” Grice: “There is a continuity between Roman
and Italian (or vernacular, as the Italians prefer). Some Italian snobs call
Italian the ‘volgare,’ but then vulgus is Deutsche, the people!” --.
Italian: Grice: “Latin is a member of the
Italic family of the Indo-European Languages. Romantic is another.” -- H. P. Grice: “It’s absurd the little Oxonians
know about Italy – it’s all about the Grand Tour! The only Oxonian seriously
into things Italian, that I know of, are Collingwood, Bosanquet, and the
fashionable Hegelians!” “As a response, I propose to lecture on Italian
philosophy, with a view to implicature.” Italy over the ages has had a vast influence on Western
philosophy, beginning with the Greeks and Romans, and going onto Renaissance
humanism, the Age of Enlightenment and modern philosophy. Philosophy is brought to Italy by Pythagoras,
founder of the Italian school of philosophy in Crotone. Major Italian philosophers of the Grecian period
include: Xenophanes, Parmenides, Zeno, Empedocles, and, lastly, Gorgias, responsible for bringing philosophy to
Athens. There are several
formidable Roman philosophers, such as: Cicero, Lucretius, Seneca, Musonius Rufus, Plutarch, Epictetus, Marcus Aurelius, Clement of Alexandria, Alcinous, Sextus Empiricus, Alexander of Aphrodisias, Ammonius Saccas, Plotinus, Porphyry, Iamblichus, Themistius, Augustine of Hippo, Proclus, Philoponus of Alexandria, Damascius, Boethius, and Simplicius of Cilicia. Roman philosophy is heavily influenced by that
of Greece. Italian mediaeval
philosophy is mainly Christian, and includes several important philosophers and
theologians such as Thomas Aquinas. Aquinas is a student of Albert the Great, a
brilliant Dominican experimentalist, much like the Franciscan Roger Bacon of
Oxford. Aquinas reintroduces
Aristotelian philosophy to Christianity. Aquinas believes that there is no contradiction
between faith and secular reason. Aquinas believes that Aristotle achieves the
pinnacle in the human striving for truth, and thus adopts Aristotle's
philosophy as a framework in constructing his theological and philosophical
outlook. Aquinas is a professor
at the prestigious University of Paris. The Renaissance is an essentially Italian
(Florentine) movement, and also a great period of the arts and philosophy. Among the distinctive elements of Renaissance
philosophy are: — the revival
(renaissance means "rebirth") of classical civilisation and learning. — a partial return to the authority of Plato
over Aristotle, who had come to dominate later medieval philosophy; and — among some philosophers, enthusiasm for the
occult and Hermeticism. As with all periods,
there is a wide drift of dates, reasons for categorization and boundaries. In particular, the Renaissance, more than later
periods, is thought to begin in Italy with the Italian Renaissance and roll
through Europe. Renaissance Humanism was
a European intellectual movement that was a crucial component of the
Renaissance, beginning in Florence, and affected most of Italy. The humanist movement develops from the
rediscovery by European scholars of Latin literary and Greek literary texts. Initially, a humanist was simply a scholar or
teacher of Latin literature. Humanism describes a curriculum – the “studia humanitatis” –
consisting of grammar, rhetoric, moral philosophy, poetry, and history, as
studied via Latin and Greek literary authors. Humanism offers the necessary intellectual and
philological tools for the first critical analysis of texts. An early triumph of textual criticism by Lorenzo
Valla reveals the Donation of Constantine to be an early medieval forgery
produced in the Curia. This textual criticism
creates sharper controversy when Erasmus follows Valla in criticising the
accuracy of the Vulgate translation of the New Testament, and promoting
readings from the original Greek manuscripts of the New Testament. Italian Renaissance humanists believe that the
liberal arts (art, music, grammar, rhetoric, oratory, history, poetry, using
classical texts, and the studies of all of the above) should be practiced by
all levels of "richness". Italian humanists also approve of self, human
worth and individual dignity. Italian humanists hold the belief that everything in life has a
determinate nature, but man's privilege is to be able to choose his own path. Pico della Mirandola writes the following
concerning the creation of the universe and man's place in it: “But when the work was finished, the Craftsman
kept wishing that there were someone to ponder the plan of so great a work, to
love its beauty, and to wonder at its vastness.” “Therefore, when everything was done, He finally
took thought concerning the creation of man.” “He therefore took man as a creature of
indeterminate nature and, assigning him a place in the middle of the world,
addressed him thus.” “”Neither a fixed abode
nor a form that is thine alone nor any function peculiar to thyself have we
given thee, Adam, to the end that according to thy longing and according to thy
judgement thou mayest have and possess what abode, what form and what functions
thou thyself shalt desire.”” “”The nature of all other beings is limited and constrained within
the bounds of law.”” “”Thou shalt have the
power to degenerate into the lower forms of life, which are brutish.”” “”Thou shalt have the power, out of thy soul's
judgement, to be born into the higher forms, which are divine."” Italy is also affected by a movement called
Neoplatonism, which is a movement which had a general revival of interest in
Classical antiquity. Interest in Platonism is
especially strong in Florence under the Medici. During the sessions at Florence of the Council
of Ferrara-Florence, during the failed attempts to heal the schism of the
Orthodox and Catholic churches, Cosimo de' Medici and his intellectual circle
make acquaintance with the Neoplatonic philosopher George Gemistos Plethon. Plethon’s discourses upon Plato and the
Alexandrian mystics so fascinate the learned society of Florence that they name
him the second Plato. John Argyropoulos is
lecturing on Greek language and literature at Florence, and Marsilio Ficino
becomes his pupil. When Cosimo de’ Medici
decides to refound Plato's Academy at Florence, his choice to head it is
Ficino, who makes the classic translation of Plato from Greek to Latin, as well
as a translation of a collection of Hellenistic Greek documents of the Hermetic
Corpus, and the writings of many of the Neoplatonists, for example Porphyry,
Iamblichus, Plotinus, et al.. Following suggestions laid out by Gemistos Plethon, Ficino tries
to synthesize Christianity and Platonism. Niccolò di Bernardo dei Machiavelli is an
Italian philosopher, and is considered one of the most influential Italian
Renaissance philosophers and one of the main founders of modern political
science. Machiavelli’s most
famous work is “The Prince.” “The Prince”’s contribution to the history of political thought is
the fundamental break between political realism and political idealism. Machiavelli’s best-known essay exposits and
describes the arts with which a ruling prince can maintain control of his
realm. The essay concentrates
on the "new prince", under the presumption that a hereditary prince
has an easier task in ruling, since the people are accustomed to him. To retain power, the hereditary prince must
carefully maintain the socio-political institutions to which the people are
accustomed; whereas a new prince has the more difficult task in ruling, since
he must first stabilize his new-found power in order to build an enduring
political structure. That requires the prince
being a public figure above reproach, whilst privately acting immorally to
maintain his state. The examples are those
princes who most successfully obtain and maintain power, drawn from
Machiavelli’s observations as a Florentine diplomat, and his ancient history
readings; thus, the Latin phrases and Classic examples. “The Prince” politically defines “virtu” as any
quality that helps a prince rule his state effectively. Machiavelli is aware of the irony of good
results coming from evil actions, and because of this, the Catholic Church
proscribes “The Prince,” registering it to the “Index Librorum Prohibitorum,”
moreover, the Humanists also viewed the essay negatively, among them, Erasmus
of Rotterdam. As a treatise, the
primary intellectual contribution of Machiavelli’s “Prince” to the history of
political thought is the fundamental break between political Realism and
political Idealism — thus, “The Prince” is a manual
to acquiring and keeping political power. In contrast with Plato and Aristotle, a
Classical ideal society is not the aim of the prince’s will to power. As a political philosopher, Machiavelli
emphasises necessary, methodical exercise of brute force and deception to
preserve the status quo. Between Machiavelli's
advice to ruthless and tyrannical princes in “The Prince” and his more
republican exhortations in “Discorsi,” some conclude that “The Prince” is
actually only a satire. Jean-Jacques Rousseau,
for instance, admires Machiavelli the republican and, consequently, argues that
“The Prince” is an essay for the republicans as it exposes the methods used by
princes. If “The Prince” is only
intended as a manual for tyrannical rulers, it contains a paradox: It is apparently more effective if the secrets
“The Prince” contains would *not* be made publicly available. Also Antonio Gramsci argues that Machiavelli's
audience is the common people because the rulers already know these methods
through their education. This interpretation is
supported by the fact that Machiavelli writes in the vernacular, Italian, not
in Latin (which would have been the language of the ruling elite). Although Machiavelli is supposed to be a
realist, many of his heroes in “The Prince” are in fact mythical or
semi-mythical, and his goal (i.e. the unification of Italy) essentially utopian
at the time of writing. Many of Machiavelli’s
contemporaries associate him with the political tracts offering the idea of
“Reason of State”, an idea proposed most notably in the writings of Jean Bodin
and Giovanni Botero. To this day,
contemporary usage of “Machiavellian” is an adjective describing someone who is
"marked by cunning, duplicty, or bad faith.” “The Prince” is the treatise that is most
responsible for the term being brought about. To this day, "Machiavellian" remains a
popular term used in casual and political contexts, while in psychology,
"Machiavellianism" denotes a personality type. Cesare Beccaria is one of the greatest writers
of the Italian Age of Enlightenment. Italy is also affected by the enlightenment, a
movement which is a consequence of the Renaissance and changes the road of
Italian philosophy. Followers of the group
often meet to discuss in private salons and coffeehouses, notably in the cities
of Milan, Rome and Venice. Cities with important
universities such as Padua, Bologna and Naples, however, also remain great
centres of scholarship and the intellect, with several philosophers, such as
Giambattista Vico (who is widely regarded as being the founder of modern
Italian philosophy) and Antonio Genovesi. Italian society also dramatically changes during
the Enlightenment, with rulers such as Leopold II of Tuscany abolishing the
death penalty. The church's power is
significantly reduced, and it is a period of great thought and invention, with
scientists such as Alessandro Volta and Luigi Galvani discovering new things
and greatly contributing to Western science. Beccaria is also one of the greatest Italian
Enlightenment writers, who is famous for his masterpiece “Of Crimes and
Punishments.” Italy also has a
renowned philosophical movement with Idealism, Sensism and Empiricism. The main Sensist Italian philosophers are Gioja
and Romagnosi. Criticism of the Sensist
movement comes from other philosophers such as Pasquale Galluppi, who affirms
that a priori relationships are synthetic. Antonio Rosmini, instead, is the founder of
Italian Idealism. The most comprehensive view
of Rosmini's philosophical standpoint is to be found in his “Sistema
filosofico,” in which he sets forth the conception of a complete encyclopaedia
of the human knowable, synthetically conjoined, according to the order of
ideas, in a perfectly harmonious whole. Contemplating the position of recent philosophy
from Locke to Hegel, and having his eye directed to the ancient and fundamental
problem of the origin, truth and certainty of our ideas, Rosmini writes: “If philosophy is to be restored to love and respect,
I think it will be necessary, in part, to return to the teachings of the
ancients, and in part to give those teachings the benefit of modern methods.” —
Theodicy, a. 148. Rosmini examines and
analyses the fact of human knowledge, and obtains the following results: — the notion or idea of being or existence in
general enters into, and is presupposed by, all our acquired cognitions, so
that, without it, they would be impossible. — this idea is essentially objective, inasmuch
as what is seen in it is as distinct from and opposed to the mind that sees it
as the light is from the eye that looks at it. — the idea is essentially true, because being
and truth are convertible terms, and because in the vision of it the mind
cannot err, since error could only be committed by a judgment, and here there
is no judgment, but a pure intuition affirming nothing and denying nothing. — by the application of this essentially
objective and true idea the human being intellectually perceives, first, the
animal body individually conjoined with him, and then, on occasion of the
sensations produced in him not by himself, the causes of those sensations, that
is, from the action felt he perceives and affirms an agent, a being, and
therefore a true thing, that acts on him, and he thus gets at the external
world, these are the true primitive judgments, containing the subsistence of
the particular being (subject), and its essence or species as determined by the
quality of the action felt from it (predicate) — reflection, by separating the essence or
species from the subsistence, obtains the full specific idea
(universalization), and then from this, by leaving aside some of its elements,
the abstract specific idea (abstraction). — the mind, having reached this stage of
development, can proceed to further and further abstracts, including the first
principles of reasoning, the principles of the several sciences, complex ideas,
groups of ideas, and so on without end, and, finally, — the same most universal idea of being, this
generator and formal element of all acquired cognitions, cannot itself be
acquired, but must be innate in us, implanted by God in our nature. Being, as naturally shining to our mind, must
therefore be what men call the light of reason. Hence the name Rosmini gives it of ideal being;
and this he lays down as the fundamental principle of all philosophy and the
supreme criterion of truth and certainty. This Rosmini believes to be the teaching of St
Augustine, as well as of St Thomas, of whom he was an ardent admirer and defender. In the 19th century, there are also several
other movements which gain some form of popularity in Italy, such as
Ontologism. The main Italian son of
this philosophical movement is Vincenzo Gioberti, a metaphysician. Gioberti's writings are more important than his
political career. In the history of
Italian philosophy they stand apart. As the speculations of Rosmini-Serbati, against
which he wrote, have been called the last link added to medieval thought, so
the system of Gioberti, known as Ontologism, more especially in his greater and
earlier works, is unrelated to other modern schools of thought. It shows a harmony with the Roman Catholic faith
which caused Cousin to declare that Italian philosophy was still in the bonds
of theology, and that Gioberti was no philosopher. Method is with Gioberti a synthetic, subjective
and psychological instrument. Gioberti reconstructs, as he declares, ontology, and begins with
the ideal formula, the "Ens" creates ex nihilo the existent. God is the only being (Ens). All other things are merely existences. God is the origin of all human knowledge (called
lidea, thought), which is one and so to say identical with God himself. It is directly beheld (intuited) by reason, but
in order to be of use it has to be reflected on, and this by means of language. A knowledge of being and existences (concrete,
not abstract) and their mutual relations, is necessary as the beginning of
philosophy. Gioberti is in some
respects a Platonist. Gioberti identifies
religion with civilization, and in his treatise “Del primato morale e civile
degli Italiani” he arrives at the conclusion that the church is the axis on
which the well-being of human life revolves. In it Gioberti affirms the idea of the supremacy
of Italy, brought about by the restoration of the papacy as a moral dominion,
founded on religion and public opinion. In his later works, the “Rinnovamento” and the
“Protologia,” Gioberti is thought by some to have shifted his ground under the
influence of events. Gioberti’s first work had
a personal reason for its existence. A fellow-exile and friend, Paolo Pallia, having
many doubts and misgivings as to the reality of revelation and a future life,
Gioberti at once set to work with “La Teorica del sovrannaturale,” which was
his first publication. After this,
philosophical treatises follow in rapid succession. The “Teorica” is followed by “Introduzione allo
studio della filosofia.” In this work Gioberti
states his reasons for requiring a new method and new terminology. Here Gioberti brings out the doctrine that
religion is the direct expression of the idea in this life, and is one with
true civilization in history. Civilization is a conditioned mediate tendency to perfection, to
which religion is the final completion if carried out. It is the end of the second cycle expressed by
the second formula, the Ens redeems existences. Essays on the lighter and more popular subjects,
“Del bello” and “Del buono,” follow the “Introduzione.” “Del primato morale e civile degli Italiani” and
the “Prolegomeni” to the same, and soon afterwards his triumphant exposure of
the Jesuits, “Il Gesuita moderno,” no doubt hastens the transfer of rule from
clerical to civil hands. It is the popularity of
these semi-political works, increased by other occasional political articles,
and his “Rinnovamento civile d'Italia,” that causes Gioberti to be welcomed
with such enthusiasm on his return to his native country. All these works are perfectly orthodox, and aid
in drawing the liberal clergy into the movement which results since his time in
the unification of Italy. The Jesuits, however,
closed round the pope more firmly after his return to Rome, and in the end
Gioberti's writings are placed on the Index. The remainder of his works, especially “La
Filosofia della Rivelazione” and the “Prolologia,” give his mature views on
many points. Other Ontological
philosophers include Terenzio Mamiani, Luigi Ferri, and Ausonio Franchi. Augusto Vera is probably the greatest Italian
Hegelianist philosopher. It is during his studies,
with his cousin in Paris, that Vera comes to know about philosophy and through
them he acquires knowledge of Hegelianism and it culminates during the events
of the French Revolution. In England Vera
continues his studies of Hegelian philosophy. During his years in Naples, Vera maintains
relationships with the Philosophical Society of Berlin, which originally
consists of Hegelians, and keeps up to date with both the German and the French
Hegelian literature. Vera undertakes a close
commentary of Hegel's “Introduzione alla filosofia.” Much of Vera’s work on neo-Hegelian theories are
undertaken with Bertrando Spaventa. Some see the Italian Hegelian doctrine as
leading to Italian Fascism. Some of the most prominent philosophies and ideologies in Italy
also include anarchism, communism, socialism, futurism, fascism, and Christian
democracy. Both futurism and
fascism (in its original form, now often distinguished as Italian fascism) are
developed in Italy at this time. Italian Fascism is the official philosophy and ideology of the
Italian government. Giovanni Gentile is one
of the greatest Italian Idealist/Fascist philosophers, who greatly supports
Benito Mussolini. Gentile has a great
number of developments within his thought and career which define his philosophy: — the discovery of Actual Idealism in his work
“Theory of the Pure Act” — the political favour
he felt for the invasion of Libya and the entry of Italy into The Great War. — the dispute with Benedetto Croce over the
historic inevitability of Fascism. — his role as education minister. — Gentile’s belief that Fascism can be made to
be subservient to his thought and the gathering of influence through the work
of such students as Ugo Spirito. Benedetto Croce writes that Gentile "holds the honour of
being the most rigorous neo–Hegelian in the entire history of Western
philosophy and the dishonour of being the official philosopher of Fascism in
Italy." Gentile’s philosophical
basis for fascism is rooted in his understanding of ontology and epistemology,
in which he finds vindication for the rejection of individualism, acceptance of
collectivism, with the state as the ultimate location of authority and loyalty
to which the individual found in the conception of individuality no meaning
outside of the state (which in turn justifies totalitarianism). Ultimately, Gentile foresees a social order
wherein opposites of all kinds are not to be given sanction as existing
independently from each other; that 'publicness' and 'privateness' as broad
interpretations were currently false as imposed by all former kinds of
Government; capitalism, communism, and that only the reciprocal totalitarian
state of Corporative Syndicalism, a Fascist state, could defeat these problems
made from reifying as an external that which is in fact to Gentile only a
thinking reality. Whereas it was common in
the philosophy of the time to see conditional subject as abstract and object as
concrete, Gentile postulates the opposite, that subject is the concrete and
objectification is abstraction (or rather; that what was conventionally dubbed
"subject" is in fact only conditional object, and that true subject
is the 'act of' being or essence above any object). Gentile is a notable philosophical theorist of
his time throughout Europe, since having developed his 'Actual Idealism' system
of Idealism, sometimes called 'Actualism.' It is especially in which his ideas put subject
to the position of a transcending truth above positivism that garnered
attention; by way that all senses about the world only take the form of ideas
within one's mind in any real sense; to Gentile even the analogy between the
function and location of the physical brain with the functions of the physical
body were a consistent creation of the mind (and not brain; which was a
creation of the mind and not the other way around). An example of Actual Idealism in Theology is the
idea that although man may have invented the concept of God, it does not make
God any less real in any sense possible as far as it is not presupposed to
exist as abstraction and except in case qualities about what existence actually
entails (i.e. being invented apart from the thinking making it) are
presupposed. Benedetto Croce objects
that Gentile's "pure act" is nothing other than Schopenhauer's will. Therefore, Gentile proposes a form of what he
calls 'absolute Immanentism' in which the divine is the present conception of
reality in the totality of one's individual thinking as an evolving, growing
and dynamic process. Many times accused of
Solipsism, Gentile maintains his philosophy to be a Humanism that senses the
possibility of nothing beyond what was contingent; the self's human thinking,
in order to communicate as immanence is to be human like oneself, makes a
cohesive empathy of the self-same, without an external division, and therefore
not modeled as objects to one's own thinking. Meanwhile, anarchism, communism, and socialism,
though not originating in Italy, take significant hold in Italy with the
country producing numerous significant figures in anarchist, socialist, and
communist thought. In addition,
anarcho-communism first fully forms into its modern strain within the Italian
section of the First International. Italian anarchists often adhere to forms of
anarcho-communism, illegalist or insurrectionary anarchism, collectivist
anarchism, anarcho-syndicalism, and platformism. Some of the most important figures in the
anarchist movement include Italians such as: Errico Malatesta, Giuseppe Fanelli, Carlo Cafiero, Alfredo M. Bonanno, Pietro Gori, Luigi Galleani, Severino Di Giovanni, Giuseppe Ciancabilla, Luigi Fabbri, Camillo Berneri, and Sacco and Vanzetti. Other Italian figures, influential in both the
anarchist and socialist movements, include Carlo Tresca and Andrea Costa, as
well as the author, director, and intellectual Pier Paolo Pasolini. Antonio Gramsci remains an important philosopher
within Marxist and communist theory, credited with creating the theory of
cultural hegemony. Italian philosophers are
also influential in the development of the non-Marxist liberal socialism
philosophy, including: Carlo Rosselli, Norberto Bobbio, Piero Gobetti, Aldo Capitini, and Guido Calogero. Many Italian left-wing activists adopt the
anti-authoritarian pro-working class leftist theories that become known as
autonomism and “operaismo.” Giuseppe Peano is one of the founders of analytic philosophy and
contemporary philosophy of mathematics. Recent analytic philosophers include: Mauro Dorato, Carlo Penco, Francesco Berto, Emiliano Boccardi, Alessandro Torza, Matteo Plebiani, Luciano Floridi, Luca Moretti, and, among the
Griceians, Anna Maria Ghersi and Luigi Speranza. See also: List of Italian philosophers References: See: Jerry Bentley, “Humanists and holy writ” Princeton University Pico Yates, Frances A. “Giordano
Bruno and the Hermetic Tradition” University of Chicago Press Moschovitis Group
Inc, Christian D. Von Dehsen and Scott L. Harris, “Philosophers and religious
leaders,” The Oryx Press, 117. Definition of MACHIAVELLIAN merriam-webster Skinner,
Quentin “Machiavelli: A Very Short Introduction.” OUP Oxford. Christie,
Richard; Geis, Florence L. “Studies in Machiavellianism.” Academic Press. “The Enlightenment throughout
Europe"history-world “History of Philosophy
70". Maritain “Augusto Vera". Facoltà Lettere e Filosofia “La rinascita hegeliana a Napoli" Ex-Regno
delle Due Sicilie. “L'ESCATOLOGIA
PITAGORICA NELLA TRADIZIONE OCCIDENTALE". RITO SIMBOLICO ITALIANO. “Idealismo. Idealistas" Enciclopedia GER. Benedetto Croce, “Guide to Aesthetics,” Tr. by Patrick Romanell,
"Translator's Introduction," The Library of Liberal Arts, The Bobbs–Merrill
Co., Inc. Runes, Dagobert, ed.,
Treasure of Philosophy,” “Gentile, Giovanni" Nunzio Pernicone, "Italian Anarchism",
AK Press. RELATED ARTICLES: Giovanni Gentile, Italian neo-Hegelian Idealist
philosopher. Bertrando Spaventa,
Italian philosopher. Refs.: H. P. Grice, “Hegelians and Croceans in the Oxford
I knew.” Grice, “Speranza, our man in Itealian philosophy!” – “Surely he’ll be
offended if you say that!” – Anna Maria Ghersi e Luigi Speranza, “IMPLICATVRA.”
Luigi Speranza, “IMPLICATVRA,” The Swimming-Pool Library, Villa Grice, Liguria,
Italia. Luigi Speranza, “Grice, Gentile e la storiografia della filosofia
italiana.”
società
filosofia italiana
eredità – when a symposium on Grice
was organised at San Marino, this is the word chosen – Eredità. Oddly, Berkeley
preferred ‘legacy,’ as in “Legacy of Grice.” “Heritage” sounds perhaps more
pretentious than “l’eredità di Grice,’ where there is a pun on ‘heritage’ and
‘inheritance’! --.
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