The Applicability of Mathematics as a Philosophical Problem

Steiner, Mark

ISBN 10: 0674009703 / ISBN 13: 9780674009707

Editore: Harvard University Press, 2002

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Codice articolo 40W88_75_0674009703

Dati bibliografici

• Titolo: The Applicability of Mathematics as a Philosophical Problem
• Editore: Harvard University Press
• Data di pubblicazione: 2002
• Lingua: Inglese
• ISBN 10: 0674009703
• ISBN 13: 9780674009707
• Rilegatura: Brossura
• Condizione: new

Descrizione articolo

Riassunto

This book analyzes the different ways mathematics is applicable in the physical sciences, and presents a startling 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.