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Michelangelo's Stone: an Argument against Platonism in Mathematics

ROVELLI, Carlo (2015) Michelangelo's Stone: an Argument against Platonism in Mathematics. [Preprint]

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Abstract

If there is a “platonic world” M of mathematical facts, what does M contain precisely? I observe that if M is too large, it is uninteresting, because the value is in the selection, not in the totality; if it is smaller and interesting, it is not independent from us. Both alternatives challenge mathe- matical platonism. I suggest that the universality of our mathematics may be a prejudice hiding its contingency, and illustrate contingent aspects of classical geometry, arithmetics and linear algebra.


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Item Type: Preprint
Creators:
CreatorsEmailORCID
ROVELLI, Carlorovelli@cpt.univ-mrs.fr
Keywords: Platonism, Philosophy of Mathematics
Subjects: Specific Sciences > Mathematics
Depositing User: Carlo ROVELLI
Date Deposited: 03 Aug 2015 16:35
Last Modified: 03 Aug 2015 16:35
Item ID: 11601
Subjects: Specific Sciences > Mathematics
Date: 29 July 2015
URI: https://philsci-archive-dev.library.pitt.edu/id/eprint/11601

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