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Mathematics via Symmetry

Yanofsky, Noson and Zelcer, Mark (2013) Mathematics via Symmetry. [Preprint]

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Abstract

We state the defining characteristic of mathematics as a type of symmetry where one can change the connotation of a mathematical statement in a certain way when the statement's truth value remains the same. This view of mathematics as satisfying such symmetry places mathematics as comparable with modern views of physics and science where, over the past century, symmetry also plays a defining role. We explore the very nature of mathematics and its relationship with natural science from this perspective. This point of view helps clarify some standard problems in the philosophy of mathematics.


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Item Type: Preprint
Creators:
CreatorsEmailORCID
Yanofsky, Nosonnoson@sci.brooklyn.cuny.edu
Zelcer, Mark mzelcer1@gc.cuny.edu
Keywords: symmetry, semantics, philosophy of mathematics, category theory,
Subjects: Specific Sciences > Mathematics
Depositing User: Noson Yanofsky
Date Deposited: 08 Jul 2013 06:30
Last Modified: 08 Jul 2013 06:30
Item ID: 9868
Subjects: Specific Sciences > Mathematics
Date: June 2013
URI: https://philsci-archive-dev.library.pitt.edu/id/eprint/9868

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