Mathematics and mind

New York: Oxford University Press (1994)
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Abstract

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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Alexander George
Amherst College

Citations of this work

Structuralism and metaphysics.Charles Parsons - 2004 - Philosophical Quarterly 54 (214):56--77.
Was Wittgenstein Frege's heir?Karen Green - 1999 - Philosophical Quarterly 49 (196):289-308.
Commentary on Gentzler 1.Predrag Cicovacki - 1994 - Proceedings of the Boston Area Colloquium of Ancient Philosophy 10 (1):296-311.

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