Mathematics and Mind

By: Alexander George (Editor)

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Hardcover | 1 August 1993

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216 Pages

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22.86 x 15.24 x 1.6

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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.

Industry Reviews

"The volume contains extremely interesting papers of high quality on the philosophy of mathematics. The book is compact, and a number of central philosophers of mathematics are discussed in detail."--Modern Logic "It includes several papers worthy of careful study."--Journal of Symbolic Logic "The volume contains extremely interesting papers of high quality on the philosophy of mathematics. The book is compact, and a number of central philosophers of mathematics are discussed in detail."--Modern Logic "It includes several papers worthy of careful study."--Journal of Symbolic Logic

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You Can Find This Book In

Non-Fiction Mathematics History of Mathematics Philosophy of Mathematics Philosophy Philosophy of The Mind Philosophy & Logic History Regional & National History History of the Americas

Contributors	p. ix
Introduction	p. 3
What Is Mathematics About?	p. 11
The Advantages of Honest Toil over Theft	p. 27
The Law of Excluded Middle and the Axiom of Choice	p. 45
Mechanical Procedures and Mathematical Experience	p. 71
Mathematical Intuition and Objectivity	p. 118
Intuition and Number	p. 141
Hilbert's Axiomatic Method and the Laws of Thought	p. 158
Index	p. 201
Table of Contents provided by Syndetics. All Rights Reserved.

Mathematics and Mind

At a Glance

Hardcover

Industry Reviews

Shipping

How to return your order

Defective items

You Can Find This Book In

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