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The Oxford Handbook of Philosophy of Mathematics and Logic
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The Oxford Handbook of Philosophy of Mathematics and Logic

Stewart Shapiro

Abstract

This book provides comprehensive and accessible coverage of the disciplines of philosophy of mathematics and philosophy of logic. After an introduction, the book begins with a historical section, consisting of a chapter on the modern period, Kant and his intellectual predecessors, a chapter on later empiricism, including Mill and logical positivism, and a chapter on Wittgenstein. The next section of the volume consists of seven chapters on the views that dominated the philosophy and foundations of mathematics in the early decades of the 20th century: logicism, formalism, and intuitionism. They ... More

Keywords: mathematics, logic, Immanuel Kant, empiricism, John Stuart Mill, logical positivism, Wittgenstein, logicism, formalism, intuitionism, Quine, indispensability, naturalism, nominalism, structuralism, predicativity, logical consequence, paradoxes of relevance, second-order logic, higher-order logic

Bibliographic Information

Print publication date: 2005 Print ISBN-13: 9780195148770
Published to Oxford Scholarship Online: July 2005 DOI:10.1093/0195148770.001.0001

Authors

Affiliations are at time of print publication.

Stewart Shapiro, editor
Ohio State University
Author Webpage