Naturalizing the Applicability of Mathematics

Journal title PARADIGMI
Author/s Carlo Cellucci
Publishing Year 2015 Issue 2015/2 Language Italian
Pages 20 P. 25-44 File size 90 KB
DOI 10.3280/PARA2015-002004
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In order to deal with the question of the applicability of mathematics to the world, 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 upon which it is based, 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 Galileo’s philosophical revolution, the decision to confine physics to the study of some properties of the world mathematical in character. But, like the applicability of natural mathematics, also the applicability of artificial mathematics depends on our makeup, and hence ultimately on biological evolution.

Keywords: Applicability, conceptualizations, evolution, mathematics, simplicity

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Carlo Cellucci, Naturalizing the Applicability of Mathematics in "PARADIGMI" 2/2015, pp 25-44, DOI: 10.3280/PARA2015-002004