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.
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