References to Strauss's essay, "Metaphysics Between Reductionism And A Non-Reductionist Ontology

Speranza

Online at

http://cdn.intechopen.com/pdfs/37462/InTech-Metaphysics_between_reductionism_and_a_non_reductionist_ontology.pdf

Agazzi, E. 1991. The Problem of Reductionism in Science. In: Episteme, A Series in the Foundational,

Methodological, Philosophical, Psychological, Sociological, and Political

 

Aspects of the Sciences, Pure and Applied, Volume 18, Editor: Mario Bunge,

 

 

  

Metaphysics Between Reductionism and a Non-Reductionist Ontology

 

 

 

Foundations and philosophy of Science Unit, McGill University. Boston: Kluwer

Academic Publishers.

 

Alexandroff, P.S. 1956. Einführung in die Mengenlehre und die Theorie der reellen Funktionen.

Berlin: Deutscher Verlag der Wissenschaften.

 

Beth, E.W. 1965. Mathematical Thought. Dordrecht-Holland: D. Reidel Publishing

Company.

 

Boyer, C.B. 1959. The history of the calculus and its conceptual development. New York:

Dover.

 

Cantor, G. 1962.

Gesammelte Abhandlungen (1932), Hildesheim: Georg Olms Verlag.

Cassirer, E. 1953.

Substance and Function, New York (first edition of the English translation of

Substanzbegriff und Funktionsbegriff: 1923. First German edition 1910).

Cassirer, E. 1957. Das Erkenntnisproblem in der Philosophie und Wissenschaft der neueren Zeit,

Stuttgart: Kohlhammer Verlag.

 

Clark, M. 2002. Paradoxes from A to Z. London: Routledge.

Copi, I.M. 1994. Introduction to Logic, Ninth Edition. New York: Macmillan Publishing Company.

Cornford, F.M. 1966. The Republic of Plato. Translated with Introduction and Notes. Oxford:

Clarendon Press.

 

Dennett, D.C. 1995. Darwin's Dangerous Idea. Evolution and the Meanings of Life. New York:

Simon & Schuster.

 

Derrida, J. 1993. Aporias. Translated by Thomas Dutoit. Stanford: Stanford University

Press.

 

Diels, H. & Kranz, W. 1959/60. Die Fragmente der Vorsokratiker. Band I-III. Berlin:

Weidmannsche Verlagsbuchhandlung.

 

Dobzhansky, T. and Ayala, F.J. 1974. Studies in the Philosophy of Biology. Reduction and Related

Problems. Berkeley: University of California Press.

Dooyeweerd, H. 1997. A New Critique of Theoretical Thought, Collected Works of Herman

Dooyeweerd, The Edwin Mellen Press, A-Series Vols. 1-4 (General Editor D.F.M.

Strauss.)

 

Einstein, A. 1959. Autobiography, in: Schilpp, 1959 (pp.2-95).

Fraenkel, A., Bar-Hillel, Y., Levy, A. & Van Dalen, D. 1973. Foundations of Set Theory, 2nd

revised edition, Amsterdam: North-Holland Publishing Company.

 

Fränkel, H. 1968. Zeno von Elea im Kampf gegen die Idee der Vielheit. In: Um die Begriffswelt

der Vorsokratiker, Wege der Forschung, Band IX, Editor Hans-Gerog Gadamer, Darmstadt:

Wissenschaftliche Buchgesellschaft (pp.425 ff.).

 

Gardner, M. 1968. Mathematical Puzzles and Diversions. Harmondsworth: Penguin Books.

Goodfield, J. 1974. Changing Strategies: A Comparison of Reductionist Attitudes in

Biological and Medical Research in the Nineteenth and Twentieth Centuries. In:

Dobzhansky and Ayala (pp.65-86).

 

Greene, B. 2003. The Elegant Universe. New York: W.W. Norton & Company Inc.

Guthrie, W.K.C. 1980. A History of Greek Philosophy. Volume II. The Presocratic Tradition from

Parmenides to Democritus. Cambridge: Cambridge University Press.

 

  

 

 

 

 

 

 

Grünbaum, A. 1952. A consistent conception of the extended linear contimuum as an

 

aggregate of unextended elements, in: Philosophy of Science, Vol.19, nr.2, April 1952

(pp.288-306).

 

Grünbaum, A. 1967. Modern Science and Zeno’s Paradoxes. Middletown: Wesleyan University

Press.

 

Grünbaum, A. 1974. Philosophical Problems of Space and Time. Dordrecht (Holland): D. Reidel

Publishing Company (second, enlarged edition).

 

Heine, E. 1872. Die Elemente der Functionenlehre. In: Journal für reine und angewandte

Mathematik. Band 74, Berlin (pp.172-188).

Hörz, H. 1967. Article on Physics in: Naturforschung und Weltbild, Berlin.

Hurewicz, W. and Wallman, H. 1959. Dimension Theory, 5th edition, Princeton: Princeton

University Press.

 

Janich, P. 1975. Tragheitsgesetz und Inertialsysteem. In: Frege und die moderne

Grundlagenforschung, (Editor Chr. Thiel). Meisenheim am Glan.

Jonas, H. 1974. Philosophical Essays: From Ancient Creed to Technological Man. Prentice-Hall,

INC.: Englewood Cliffs, New Jersey.

 

Kant, I. 1783. Prolegomena zu einer jeden künftigen Metaphysik die als Wissenschaft wird auftreten

können, (Felix Meiner Edition, Hamburg 1969).

Kant, I. 1787. Kritik der reinen Vernunft (1781); 1787 (Felix Meiner Edition, Hamburg

1956).

 

Koestler. A. and Smythies, J.R. (Editors) 1972. Beyond Reductionism. London.

Lakoff, G. & Johnson, M. 1999. Philosophy in the Flesh. The Embodied Mind and Its Challenge to

Western Thought. New York: Basic Books.

Lakoff, G. and Núñez, R.E. 2000. Where Mathematics Comes From. How the Embodied Mind

brings Mathematics into Being. New York: Basic Books.

Lorenzen, P. 1972. Das Aktual-Unendliche in der Mathematik, in his work: Methodisches

Denken, Frankfurt am Main, Reprinted in Meschkowski, 1972 (pp.157-165).

Maier, A. 1964. Ausgehendes Mittelalter. Vol.I, Rome: Edizioni di Storia e Letteratura.

Meschkowski, H. (Editor) 1972. Grundlagen der Mathematik. Darmstadt: Wissenschaftliche

Buchgesellschaft.

 

Neemann, U. 1986. Das Primat der Ontologie vor dem der Metholodologie. In: Philosophia

Naturalis, 23(1):70-81.

Northrop, E.P. 1964. Riddles in Mathematics. Harmondsworth: Penguin Books.

Popper, K.R. Scientific Reduction and the Essential Incompleteness of All Science. In:

Dobzhansky, 1974 (pp. 259-284).

 

Putnam, H. 1982. Reason, Truth and History. Cambridge: Cambridge University Press.

Quine, W.V.O. 1953. From a Logical Point of View. Cambridge Massachusetts: Harvard

University Press.

 

Ritter, J. 1971 (Editor). Historisches Wörterbuch der Philosophie. Volume I, Stuttgart: Schwabe &

Co Verlag.

 

Rombach, H. 1965-66. Substanz, System, Struktur; die Ontologie des Funktionalismus und der

philosophische Hintergrund der modernen Wissenschaft. Freiburg: Alber.

Ryle, G. 1977. Dilemmas, met 'n voorwoord deur René Meyer. Pretoria: J.L. Van Schaik. (Achilles

en die Skilpad – pp.50-69).

 

 

  

 

 

 

 

 

 

Salmon, W. (Ed.). 2001. Zeno's Paradoxes. New York: Bobs-Merrill. [Contributors:

Resolution of the paradox, by A. Shimony. – Introduction, by W. C. Salmon. –

The problem of infinity considered historically, by B. Russell. – The

cinematographic view of becoming, by H. Bergson. – Achilles and the tortoise,

by M. Black. – Achilles on a physical racecourse, by J. O. Wisdom. – Tasks and

super-tasks, by J. Thomson. – Tasks, super-tasks, and the modern Eleatics, by P.

Benacerraf. – Comments on Professor Benacerraf's paper, by J. Thomson. –

Zeno and the mathematicians, by G. E. L. Owen. – Modern science and refutation

of the paradoxes of Zeno. Zeno's metrical paradox of extension. Modern

science and Zeno's paradoxes of motion. By A. Grünbaum. – Appendix: Sets

and infinity, by W. C. Salmon. First published in 1970 by New York: Bobs-

Merrill.]

 

Schilpp, P.A. 1951 (Editor). Albert Einstein, Philosopher-Scientist. Vol. I. London: Harper &

Row Publishers.

 

Schopenhauer, A. 1974: On the Fourfold Root of the Principle of Sufficient Reason, translation by

E.F.J. Payne, La Salle, Ill.: Open Court.

 

Smith, G.L., 1994. On Reductionism. Sewanee, Tennessee – available on the WEB at:

http://smith2.sewanee.edu/texts/Ecology/OnReductionism.html (accessed on 22-

01-2005).

 

Spivak, G.C. 1999. A Critique of Postcolonial Reason. Toward a History of the Vanishing

Present. Cambridge: Harvard University Press.

 

Stafleu, M.D. 1980. Time and Again, A Systematic Analysis of the Foundations of Physics. Toronto:

Wedge.

 

Stafleu, M.D. 1987. Theories at Work: On the Structure and Functioning of Theories in

Science, in Particular during the Copernican Revolution, Lanham: University Press

of America.

 

Stegmüller, W. 1970. Main Currents in Contemporary German, British and American Philosophy.

Dordrecht-Holland: D. Reidel Publishing Company.

Strauss, D.F.M. 2007. Die Grenzen der Logik Übersteigen: Zum Unterschied zwischen

 

Widerspruch und Antinomie. In: Die Suid-Afrikaanse Tydskrif vir Natuurwetenskap en

Tegnologie, 26(1):37-61.

Strauss, D.F.M. 2009. Philosophy: Discipline of the Disciplines. Grand Rapids: Paideia Press

Teensma, E. 1969. The Paradoxes. Assen: Van Gorcum.

Vaihinger, H. 1949. The Philosophy of “As If”. London: Routledge & Kegan Paul (translated by

C.K. Ogden).

 

Wang, H. 1988. Reflections on Gödel. Cambridge, Massachusetts: MIT Press.

Weyl, H. 1921. Ueber die neue Grundlagenkrise der Mathematik, Mathematische Zeitschrift.

Band 10, 1921 (pp.39-79).

 

Weyl, H. 1932. Das Kontinuum, 2nd impression, Berlin.

Weyl, H. 1946. Mathematics and Logic. In: American Mathematical Monthly, Vol. 53, 1946

(pp.2-13).

 

Weyl, H. 1966. Philosophie der Mathematik und Naturwissenschaft, 3rd revised and expanded

edition, Wenen 1966.

 

Waldenfels, B. 1971. Aporie, Aporetik. In: Ritter 1971 (pp.447-448).

 

  

 

 

 

 

Weingartner, P. 1991. Reductionism and Reduction in Logic and in Mathematics. In: Agazzi, 1991

(pp.119-148).

 

Wolff, K. 1971. Zur Problematik der absoluten Überabzählbarkeit. In: Philosophia Naturalis,

Band 13 (pp.399-404).