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Two Criticisms against Mathematical Realism

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:
CreatorsEmailORCID
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: http://philsci-archive.pitt.edu/id/eprint/15632

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