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Mathematics and Mind : Logic and Computation in Philosophy Series - Alexander George

Mathematics and Mind

Logic and Computation in Philosophy Series

By: Alexander George (Editor)

Hardcover

Published: 8th September 1994
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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.

"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

Contributorsp. ix
Introductionp. 3
What Is Mathematics About?p. 11
The Advantages of Honest Toil over Theftp. 27
The Law of Excluded Middle and the Axiom of Choicep. 45
Mechanical Procedures and Mathematical Experiencep. 71
Mathematical Intuition and Objectivityp. 118
Intuition and Numberp. 141
Hilbert's Axiomatic Method and the Laws of Thoughtp. 158
Indexp. 201
Table of Contents provided by Syndetics. All Rights Reserved.

ISBN: 9780195079296
ISBN-10: 0195079299
Series: Logic and Computation in Philosophy Series
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 214
Published: 8th September 1994
Publisher: Oxford University Press Inc
Country of Publication: US
Dimensions (cm): 24.2 x 16.0  x 2.1
Weight (kg): 0.51