Reason'sNearest Kin: Philosophies of Arithmetic from Kant to Carnap - Brossura

Potter, Michael

Brossura

ISBN 10: 0199252610 ISBN 13: 9780199252619

Casa editrice: Oxford University Press, U.S.A., 2002

Riassunto

How do we account for the truth of arithmetic? And if it does not depend for its truth on the way the world is, what constrains the world to conform to arithmetic? Reason's Nearest Kin is a critical examination of the astonishing progress made towards answering these questions from the late nineteenth to the mid-twentieth century. In the space of fifty years Frege, Dedekind, Russell, Wittgenstein, Ramsey, Hilbert, and Carnap developed accounts of the content of arithmetic that were brilliantly original both technically and philosophically. Michael Potter's innovative study presents them all as finding that content in various aspects of the complex linkage between experience, language, thought, and the world. Potter's reading places them all in Kant's shadow, since it was his attempt to ground arithmetic in the spatio-temporal structure of reality that they were reacting against; but it places us in Gödel's shadow since his incompleteness theorems supply us with a measure of the richness of the content they were trying to explain. This stimulating reassessment of some of the classic texts in the philosophy of mathematics reveals many unexpected connections and illuminating comparisons, and offers a wealth of ideas for future work in the subject.

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Recensione

This is an excellent book: informative, suggestive, and a genuine pleasure to read. (William Demopoulos, British Journal for the Philosophy of Science)

L'autore

Michael Potter is Fellow of Fitzwilliam College, Cambridge, and University Lecturer in Philosophy, having previously been Director of Studies in Mathematics.

Dettagli dell?edizione

• Editore: Oxford University Press, U.S.A.
• Data di pubblicazione: 2002
• ISBN 10: 0199252610
• ISBN 13: 9780199252619
• Rilegatura: Copertina flessibile
• Lingua: Inglese
• Numero di pagine: 320