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

Michael Potter

Abstract

This book is a critical examination of the astonishing progress made in the philosophical study of the properties of the natural numbers from the 1880s to the 1930s. It reassesses the brilliant innovations of Frege, Russell, Wittgenstein, and others, which transformed philosophy as well as the understanding of mathematics. The book argues that through the problem of arithmetic participates in the larger puzzle of the relationship between thought, language, experience, and the world, we can distinguish accounts that look to each of these to supply the content we require: those that involve the ... More

Keywords: mathematics, arithmetic, Kant, Frege, Russell, Wittgenstein, Deekind, Carnap, Ramsey, Gödel

Bibliographic Information

Print publication date: 2002 Print ISBN-13: 9780199252619
Published to Oxford Scholarship Online: May 2007 DOI:10.1093/acprof:oso/9780199252619.001.0001

Authors

Affiliations are at time of print publication.

Michael Potter, author
Fitzwilliam College, Cambridge
Author Webpage

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