The Oxford Handbook of Philosophy of Mathematics and Logic
The Oxford Handbook of Philosophy of Mathematics and Logic
Stewart Shapiro is O'Donnell Professor of Philosophy at The Ohio State University and Professorial Fellow at the Arche Centre, University of St. Andrews.
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Abstract
The Oxford Handbook of Philosophy of Math and Logic is a reference about the philosophy of mathematics and the philosophy of logic. Mathematics and logic have been central topics of concern since the dawn of philosophy. Since logic is the study of correct reasoning, it is a fundamental branch of epistemology and a priority in any philosophical system. Philosophers have focused on mathematics as a case study for general philosophical issues and for its role in overall knowledge-gathering. Today, philosophy of mathematics and logic remain central disciplines in contemporary philosophy, as evidenced by the regular appearance of articles on these topics in the best mainstream philosophical journals; in fact, the last decade has seen an explosion of scholarly work in these areas. This volume covers these disciplines, giving the reader an overview of the major problems, positions, and battle lines. The twenty-six articles are by established experts in the field, and these articles contain both exposition and criticism as well as substantial development of their own positions.
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Front Matter
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The Oxford Handbook of Philosophy of Mathematics and Logic
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1
Philosophy of Mathematics and Its Logic: Introduction
Stewart Shapiro
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2
A Priority and Application: Philosophy of Mathematics in the Modern Period
Lisa Shabel
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3
Later Empiricism and Logical Positivism
John Skorupski
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4
Wittgenstein on Philosophy of Logic and Mathematics
Juliet Floyd
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5
The Logicism of Frege, Dedekind, and Russell
William Demopoulos andPeter Clark
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6
Logicism in the Twenty‐first Century
Bob Hale andCrispin Wright
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7
Logicism Reconsidered
Agustín Rayo
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8
Formalism
Michael Detlefsen
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9
Intuitionism and Philosophy
Carl Posy
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10
Intuitionism in Mathematics
D. C. McCarty
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11
Intuitionism Reconsidered
Roy Cook
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12
Quine and the Web of Belief
Michael D. Resnik
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13
Three Forms of Naturalism
Penelope Maddy
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14
Naturalism Reconsidered
Alan Weir
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15
Nominalism
Charles Chihara
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16
Nominalism Reconsidered
Gideon Rosen andJohn P. Burgess
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17
Structuralism
Geoffrey Hellman
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18
Structuralism Reconsidered
Fraser MacBride
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19
Predicativity
Solomon Feferman
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20
Mathematics—Application and Applicability
Mark Steiner
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21
Logical Consequence, Proof Theory, and Model Theory
Stewart Shapiro
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22
Logical Consequence From a Constructivist View
Dag Prawitz
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23
Relevance in Reasoning
Neil Tennant
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24
No Requirement of Relevance
John P. Burgess
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25
Higher‐order Logic
Stewart Shapiro
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26
Higher‐order Logic Reconsidered
Ignacio Jané
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1
Philosophy of Mathematics and Its Logic: Introduction
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End Matter
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Sign in through society site
Many societies offer single sign-on between the society website and Oxford Academic. If you see ‘Sign in through society site’ in the sign in pane within a journal:
If you do not have a society account or have forgotten your username or password, please contact your society.
Sign in using a personal account
Some societies use Oxford Academic personal accounts to provide access to their members. See below.
Personal account
A personal account can be used to get email alerts, save searches, purchase content, and activate subscriptions.
Some societies use Oxford Academic personal accounts to provide access to their members.
Viewing your signed in accounts
Click the account icon in the top right to:
Signed in but can't access content
Oxford Academic is home to a wide variety of products. The institutional subscription may not cover the content that you are trying to access. If you believe you should have access to that content, please contact your librarian.
Institutional account management
For librarians and administrators, your personal account also provides access to institutional account management. Here you will find options to view and activate subscriptions, manage institutional settings and access options, access usage statistics, and more.