Naturalizing the Applicability of Mathematics
نویسنده
چکیده
In order to deal with the question of the applicability of mathematics this article distinguishes between natural mathematics, that is, innate mathematics, and artificial mathematics, that is, mathematics as a discipline. It argues that natural mathematics is applicable to the world because the systems of core knowledge of which it consists, being a result of biological evolution , fit in certain mathematical properties of the world. On the other hand, the basis for the applicability of artificial mathematics to the world is Gali-leo's philosophical revolution, the decision to confine physics to the study of some properties of the world mathematical in character, that is, of a kind currently dealt with in mathematics. But, like the applicability of natural mathematics, also the applicability of artificial mathematics depends on our makeup, and hence ultimately on biological evolution. This puts constraints on the applicability of mathematics to the world.
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