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Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
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612-822-4611
Mathematics and Mind

Mathematics and Mind

Hardcover

Series: Logic and Computation in Philosophy

General MathematicsLogic

ISBN10: 0195079299
ISBN13: 9780195079296
Publisher: Oxford University Press
Published: Sep 8 1994
Pages: 216
Weight: 1.13
Height: 0.83 Width: 6.35 Depth: 9.56
Language: English
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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General Mathematics