Reason's Nearest Kin
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Reason's Nearest Kin: Philosophies of Arithmetic from Kant to Carnap

Reason's Nearest Kin: Philosophies of Arithmetic from Kant to Carnap


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About the Book

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.

Table of Contents:
Introduction 1: Kant 2: Grundlagen 3: Dedekind 4: Frege's account of classes 5: Russell's account of classes 6: The Tractatus 7: The second edition of Principia 8: Ramsey 9: Hilbert's programme 10: Gödel 11: Carnap Conclusion Bibliography, index

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

Review :
`Review from previous edition This is an excellent book: informative, suggestive, and a genuine pleasure to read. Potter offers analyses of Kant, Frege, Dedekind, Russell, Wittgenstein, Ramsey, Hilbert, Gödel, and Carnap that are always elegantly presented, and often brilliantly clear. The discussion of Hilbert and Gödel is particularly elegant; that of Ramsey breaks new ground; the account of the Tractatus, with its illuminating comparison of the work to Hilbert's program, is one of the most accessible I have read.' William Demopoulos, British Journal for the Philosophy of Science


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Product Details
  • ISBN-13: 9780199252619
  • Publisher: Oxford University Press
  • Publisher Imprint: Oxford University Press
  • Height: 234 mm
  • No of Pages: 315
  • Sub Title: Philosophies of Arithmetic from Kant to Carnap
  • Width: 157 mm
  • ISBN-10: 0199252610
  • Publisher Date: 13 Jun 2002
  • Binding: Paperback
  • Language: English
  • Spine Width: 18 mm
  • Weight: 483 gr


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