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Description - The Applicability of Mathematics as a Philosophical Problem by Mark Steiner

This text analyzes the different ways mathematics is applicable in the physical sciences, and presents a novel thesis - the success of mathematical physics appears to assign the human mind a special place in the cosmos. Mark Steiner distinguishes among the semantic problems that arise from the use of mathematics in logical deduction; the metaphysical problems that arise from the alleged gap between mathematical objects and the physical world; the descriptive problems that arise from the use of mathematics to describe nature; and the epistemological problems that arise from the use of mathematics to discover those very descriptions. The epistemological problems lead to the thesis about the mind. It is frequently claimed that the universe is indifferent to human goals and values, and therefore, Locke and Peirce, for example, doubted science's ability to discover the laws governing the humanly unobservable. Steiner argues that on the contrary, these laws were discovered, using manmade mathematical analogies, resulting in an anthropocentric picture of the universe as "user friendly" to human cognition - a challenge to the entrenched dogma of naturalism.

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Book Details

ISBN: 9780674009707
ISBN-10: 0674009703
Format: Paperback
(202mm x 128mm x mm)
Pages: 224
Imprint: Harvard University Press
Publisher: Harvard University Press
Publish Date: 2-Sep-2002
Country of Publication: United States

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Author Biography - Mark Steiner

Mark Steiner is Professor of Philosophy at the Hebrew University of Jerusalem.