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Park, Seungbae
Philosophy of Science Lab.
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Two Criticisms against Mathematical Realism

Author(s)
Park, Seungbae
Issued Date
2017-06
DOI
10.13153/diam.52.2017.1061
URI
https://scholarworks.unist.ac.kr/handle/201301/22289
Fulltext
http://www.diametros.iphils.uj.edu.pl/index.php/diametros/article/view/1061
Citation
DIAMETROS, v.52, pp.96 - 106
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.
Publisher
Instytut Filozofii UJ
ISSN
1733-5566

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