Mathematics and Mind (Logic and Computation in Philosophy Series)

Mathematics and Mind (Logic and Computation in Philosophy Series)

by Alexander George
     
 


Those inquiring into the nature of mind have long been interested in the foundations of mathematics, and conversely this branch of knowledge is distinctive in that our access to it is purely through thought. A better understanding of mathematical thought should clarify the conceptual foundations of mathematics, and a deeper grasp of the latter should in turn… See more details below

Overview


Those inquiring into the nature of mind have long been interested in the foundations of mathematics, and conversely this branch of knowledge is distinctive in that our access to it is purely through thought. A better understanding of mathematical thought should clarify the conceptual foundations of mathematics, and a deeper grasp of the latter should in turn illuminate the powers of mind through which mathematics is made available to us. The link between conceptions of mind and of mathematics has been a central theme running through the great competing philosophies of mathematics of the twentieth century, though each has refashioned the connection and its import in distinctive ways. The present collection will be of interest to students of both mathematics and of mind. Contents include: "Introduction" by Alexander George; "What is Mathematics About?" by Michael Dummett; "The Advantages of Honest Toil over Theft" by George Boolos; "The Law of Excluded Middle and the Axiom of Choice" by W.W. Tait; "Mechanical Procedures and Mathematical Experience" by Wilfried Sieg; "Mathematical Intuition and Objectivity" by Daniel Isaacson; "Intuition and Number" by Charles Parsons; and "Hilbert's Axiomatic Method and the Laws of Thought" by Michael Hallett.

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Product Details

ISBN-13:
9780195079296
Publisher:
Oxford University Press, USA
Publication date:
08/28/1993
Series:
Logic and Computation in Philosophy Series
Pages:
216
Product dimensions:
6.25(w) x 9.50(h) x 0.86(d)

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Table of Contents

Contributors
Introduction3
1What Is Mathematics About?11
2The Advantages of Honest Toil over Theft27
3The Law of Excluded Middle and the Axiom of Choice45
4Mechanical Procedures and Mathematical Experience71
5Mathematical Intuition and Objectivity118
6Intuition and Number141
7Hilbert's Axiomatic Method and the Laws of Thought158
Index201

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