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The Reason's Proper Study
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The Reason's Proper Study: Essays towards a Neo-Fregean Philosophy of Mathematics

Bob Hale and Crispin Wright

Abstract

This volume collects together 15 papers in which Hale and Wright develop their neo‐Fregean approach to the philosophy of mathematics. Two key aspects of Frege's philosophy are drawn out and defended: (1) the doctrine that mathematics is a body of knowledge about independently existing objects––Frege's platonism (2) the doctrine that this knowledge is a species of logical knowledge, broadly construed––Frege's logicism. In Wright and Hale's programme, a kind of contextual explanation––an Abstraction Principle––suffices to ground the fundamental concepts of a mathematical domain. A key result has ... More

Keywords: abstraction principle, Michael Dummett, epistemology, Frege, Bob Hale, language, logic, logicism, mathematics, platonism, Crispin Wright

Bibliographic Information

Print publication date: 2001 Print ISBN-13: 9780198236399
Published to Oxford Scholarship Online: November 2003 DOI:10.1093/0198236395.001.0001

Authors

Affiliations are at time of print publication.

Bob Hale, author
University of Glasgow
Author Webpage

Crispin Wright, author
University of St Andrews
Author Webpage

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