The Grice Club


The Grice Club

The club for all those whose members have no (other) club.

Is Grice the greatest philosopher that ever lived?

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Tuesday, February 24, 2015

Peanian Implicature


In 1890 Peano introduced the use of iota and inverted iota to distinguish a one-member class from its member, which permitted him to overcome previous confusion between ("being a member of"), ("contained in"), and = ("equal to").

In general, Peano showed the importance of distinguishing the properties of a class from those of the individuals of that class, a need shown, for example, by his "sophism" (actually, a paralogism):

"Peter and Paul are apostles; the apostles are twelve; therefore Peter and Paul are twelve."

Incidentally, by Peter and Paul, Peano did NOT mean Strawson and Grice.

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