Structures in Arbitrary Object Theory

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DOI:

https://doi.org/10.36253/jpm-3292

Keywords:

Mathematical structuralism, arbitrary object theory, permutation problem

Abstract

This article critically compares two approaches that seek to explain ante rem mathematical structures in terms of arbitrary objects. The first is a theory that was developed by Kit Fine, and the second is a view that was more recently developed by me. I make a plea for a synthesis between the two approaches.

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Published

2025-12-30

How to Cite

Horsten, L. (2025). Structures in Arbitrary Object Theory. Journal for the Philosophy of Mathematics, 2, 35–44. https://doi.org/10.36253/jpm-3292

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