Stance 14:52-66 (2021)

Micah Phillips-Gary
Ludwig Maximilians Universität, München
In this paper, I discuss full-blooded Platonism (the claim that all possible mathematical objects exist) as a response to the skeptical problem in the philosophy of mathematics as to how empirical beings can cognize non-empirical mathematical objects. I then attempt to develop an analogous position regarding the applicability of concepts to reality in response to the skeptical problem regarding how we can cognize an objective reality through human-constructed concepts. If all concepts meeting certain minimal conditions structure reality under some aspect, then objective knowledge is possible, regardless of how these concepts arose historically.
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Mathematical Truth.Paul Benacerraf - 1973 - Journal of Philosophy 70 (19):661-679.
A Platonist Epistemology.Mark Balaguer - 1995 - Synthese 103 (3):303 - 325.

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