Two Criticisms against Mathematical Realism
Diametros 52:96-106 (2017)
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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2017-06-30
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2017-06-30
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348 ( #15,717 of 57,178 )
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37 ( #20,733 of 57,178 )
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