Oxford Handbook of Philosophy of Mathematics and Logic

(ed.)
Oxford and New York: Oxford University Press (2005)
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Abstract

This Oxford Handbook covers the current state of the art in the philosophy of maths and logic in a comprehensive and accessible manner, giving the reader an overview of the major problems, positions, and battle lines. The 26 newly-commissioned chapters are by established experts in the field and contain both exposition and criticism as well as substantial development of their own positions. Select major positions are represented by two chapters - one supportive and one critical. The book includes a comprehensive bibliography.

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2007

Call number

QA8.4.O94 2005

ISBN(s)

9780195148770   9780195325928   0195325923   0195148770   9781423720089   9780199892082

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Chapters

Higher‐order Logic.Stewart Shapiro
Higher‐order Logic Reconsidered.Ignacio Jané
Intuitionism in Mathematics.D. C. McCarty
Logical Consequence: A Constructivist View.Dag Prawitz
Logicism Reconsidered.Agustín Rayo
Logicism in the Twenty‐first Century.Crispin Wright & Bob Hale
Mathematics—Application and Applicability.Mark Steiner
Naturalism Reconsidered.Alan Weir
Nominalism Reconsidered.John P. Burgess & Gideon Rosen
Philosophy of Mathematics and Its Logic.Stewart Shapiro
Predicativity.Solomon Feferman
Quine and the Web of Belief.Michael D. Resnik
Relevance in Reasoning.Neil Tennant
Structuralism.Geoffrey Hellman
Three Forms of Naturalism.Penelope Maddy
Wittgenstein on Philosophy of Logic and Mathematics.Juliet Floyd
Apriority and Application: Philosophy of Mathematics in the Modern Period.  (pages 29--50)Lisa Shabel
Later Empiricism and Logical Positivism.  (pages 29--4)John Skorupski
The Logicism of Frege, Dedekind, and Russell.  (pages 129--165)William Demopoulos & Peter Clark
Formalism.  (pages 236--317)Michael Detlefsen
Intuitionism and philosophy.  (pages 319--355)Carl Posy
Intuitionism reconsidered.  (pages 387--411)Roy Cook
Nominalism.  (pages 483--514)Charles Chihara
Structuralism reconsidered.  (pages 563--589)Fraser MacBride
Predicativity.  (pages 590-624)Solomon Feferman
Logical consequence, proof theory, and model theory.  (pages 651--670)Stewart Shapiro
No requirement of relevance.  (pages 727--750)John P. Burgess
Higher-order logic reconsidered.  (pages 781--810)Ignasi Jané

Similar books and articles

Review of Stewart Shapiro (ed.), The Oxford Handbook of Philosophy of Mathematics and Logic. [REVIEW]JC Beall - 2005 - Notre Dame Philosophical Reviews 2005 (9).
Stewart Shapiro, ed. The Oxford Handbook of Philosophy of Mathematics and Logic. New York: Oxford University Press, 2005. ISBN 0-19-514877-0. Pp. xv + 833. [REVIEW][author unknown] - 2005 - Philosophia Mathematica 13 (3):342-343.
Philosophy of Mathematics and Its Logic.Stewart Shapiro - 2005 - In Oxford Handbook of Philosophy of Mathematics and Logic. Oxford and New York: Oxford University Press.
Higher-order logic reconsidered.Ignasi Jané - 2005 - In Stewart Shapiro (ed.), Oxford Handbook of Philosophy of Mathematics and Logic. Oxford and New York: Oxford University Press. pp. 781--810.
Formalism.Michael Detlefsen - 2005 - In Stewart Shapiro (ed.), Oxford Handbook of Philosophy of Mathematics and Logic. Oxford and New York: Oxford University Press. pp. 236--317.
Book Reviews. [REVIEW][author unknown] - 2006 - History and Philosophy of Logic 27 (4):339-343.
Three Forms of Naturalism.Penelope Maddy - 2005 - In Stewart Shapiro (ed.), Oxford Handbook of Philosophy of Mathematics and Logic. Oxford and New York: Oxford University Press.
Logicism Reconsidered.Agustín Rayo - 2005 - In Stewart Shapiro (ed.), Oxford Handbook of Philosophy of Mathematics and Logic. Oxford and New York: Oxford University Press.
Structuralism reconsidered.Fraser MacBride - 2005 - In Stewart Shapiro (ed.), Oxford Handbook of Philosophy of Mathematics and Logic. Oxford and New York: Oxford University Press. pp. 563--589.
Quine and the Web of Belief.Michael D. Resnik - 2005 - In Stewart Shapiro (ed.), Oxford Handbook of Philosophy of Mathematics and Logic. Oxford and New York: Oxford University Press.

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Stewart Shapiro
Ohio State University

Citations of this work

Logic, Metalogic and Neutrality.Timothy Williamson - 2013 - Erkenntnis 79 (2):211-231.
Abstract Expressionism and the Communication Problem.David Liggins - 2014 - British Journal for the Philosophy of Science 65 (3):599-620.

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