The Oxford handbook of philosophy of mathematics and logic / edited by Stewart Shapiro.

Format:

Book

Contributor:

Shapiro, Stewart, 1951- editor.

Series:

Oxford handbooks in philosophy.

Oxford handbooks in philosophy

Language:

English

Subjects (All):

Mathematics--Philosophy.

Mathematics.

Logic, Symbolic and mathematical--Philosophy.

Logic, Symbolic and mathematical.

Genre:

Handbooks and manuals.

Physical Description:

1 online resource (xv, 833 pages).

Edition:

1st ed.

Other Title:

Philosophy of mathematics and logic

Place of Publication:

Oxford ; New York : Oxford University Press, 2005.

Language Note:

English

Summary:

This Oxford Handbook covers the current state of the art in the philosophy of math and logic in a comprehensive and accessible manner, giving the reader an overview of the major problems positions, and battle lines. Select major positions are represented by two chapters - one supportive and one critical.

Contents:

Philosophy of mathematics and its logic : introduction / Stewart Shapiro

Apriority and application : philosophy of mathematics in the modern period / Lisa Shabel

Later empiricism and logical positivism / John Skorupski

Wittgenstein on philosophy of logic and mathematics / Juliet Floyd

The logicism of Frege, Dedekind, and Russell / William Demopoulos, Peter Clark

Logicism in the twenty-first century / Bob Hale, Crispin Wright

Logicism reconsidered / Agustín Rayo

Formalism / Michael Detlefsen

Intuitionism and philosophy / Carl Posy

Intuitionism in mathematics / C.C. McCarty

Intuitionism reconsidered / Roy Cook

Quine and the web of belief / Michael D. Resnik

Three forms of naturalism / Penelope Maddy

Naturalism reconsidered / Alan Weir

Nominalism / Charles Chihara

Nominalism reconsidered / Gideon Rosen, John P. Burgess

Structuralism / Geoffrey Hellman

Structuralism reconsidered / Fraser MacBride

Predicativity / Solomon Feferman

Mathematics

application and applicability / Mark Steiner

Logical consequence, proof theory, and model theory / Stewart Shapiro

Logical consequence from a constructivist point of view / Dag Prawitz

Relevance in reasoning / Neil Tennant

No requirement of relevance / John P. Burgess

Higher-order logic / Stewart Shapiro

Higher-order logic reconsidered / Ignacio Jané.

Notes:

Description based upon print version of record.

Includes bibliographical references and index.

Description based on metadata supplied by the publisher and other sources.

ISBN:

1-280-55882-2

9781423720083

9786610558827

0-19-803399-0

1-4237-2008-3

OCLC:

922952666