Park, Seungbae (2017) Two Criticisms against Mathematical Realism.

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Abstract

Mathematical realism asserts that mathematical objects exist in the abstract world, and that a mathematical sentence is true or false, depending on whether the abstract world is as the mathematical sentence says it is. I raise two objections against mathematical realism. First, the abstract world is queer in that it allows for contradictory states of affairs. Second, mathematical realism does not have a theoretical resource to explain why a sentence about a tricle is true or false. A tricle is an object that changes its shape from a triangle to a circle, and then back to a triangle with every second.

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Item Type:	Published Article or Volume
Creators:	Creators Email ORCID Park, Seungbae
Keywords:	Abstract World, Concrete World, Mathematical Realism, Mathematical Object, Tricle
Subjects:	Specific Sciences > Mathematics > Epistemology Specific Sciences > Mathematics > Ontology
Depositing User:	Dr. Seungbae Park
Date Deposited:	21 Jan 2019 01:09
Last Modified:	21 Jan 2019 01:09
Item ID:	15632
Subjects:	Specific Sciences > Mathematics > Epistemology Specific Sciences > Mathematics > Ontology
Date:	2017
URI:	https://philsci-archive.pitt.edu/id/eprint/15632

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