William Demopoulos (ed.)
Harvard University Press (1995)
Abstract |
Widespread interest in Frege's general philosophical writings is, relatively speaking, a fairly recent phenomenon. But it is only very recently that his philosophy of mathematics has begun to attract the attention it now enjoys. This interest has been elicited by the discovery of the remarkable mathematical properties of Frege's contextual definition of number and of the unique character of his proposals for a theory of the real numbers. This collection of essays addresses three main developments in recent work on Frege's philosophy of mathematics: the emerging interest in the intellectual background to his logicism; the rediscovery of Frege's theorem; and the reevaluation of the mathematical content of The Basic Laws of Arithmetic. Each essay attempts a sympathetic, if not uncritical, reconstruction, evaluation, or extension of a facet of Frege's theory of arithmetic. Together they form an accessible and authoritative introduction to aspects of Frege's thought that have, until now, been largely missed by the philosophical community.
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Keywords | Mathematics Philosophy Mathematics Foundations Logic, Symbolic and mathematical |
Categories | (categorize this paper) |
Reprint years | 1997 |
Buy this book | $49.50 new (1% off) $50.00 from Amazon Amazon page |
Call number | QA8.6.F74 1995 |
ISBN(s) | 0674319435 0674319427 9780674319431 |
DOI | 10.1111/1467-9213.00132 |
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Neo-Fregeanism and Quantifier Variance.Theodore Sider - 2007 - Aristotelian Society Supplementary Volume 81 (1):201–232.
Predicativity, the Russell-Myhill Paradox, and Church’s Intensional Logic.Sean Walsh - 2016 - Journal of Philosophical Logic 45 (3):277-326.
The Development of Mathematical Logic From Russell to Tarski, 1900-1935.Paolo Mancosu, Richard Zach & Calixto Badesa - 2009 - In Leila Haaparanta (ed.), The Development of Modern Logic. Oxford University Press.
From Numerical Concepts to Concepts of Number.Lance J. Rips, Amber Bloomfield & Jennifer Asmuth - 2008 - Behavioral and Brain Sciences 31 (6):623-642.
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