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24The Problem of Isomorphic StructuresThought: A Journal of Philosophy 11 (4): 206-214. 2022.Structuralism is one of the most popular contemporary accounts of mathematics. Despite its popularity, it has been challenged on the grounds of consistency. In this paper, I show that existing arguments purporting to establish an inconsistency miss the mark. I then proceed to develop a new argument against realist structuralism, to show that the commitment to mathematical pluralism and the structural identity criterion embraced by the realist structuralist jointly entail a contradiction.
Areas of Specialization
Science, Logic, and Mathematics |