Publikation:

Structures in Arbitrary Object Theory

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2025

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Journal for the Philosophy of Mathematics. Firenze University Press. 2025, 2, S. 35-44. eISSN 3035-1863. Verfügbar unter: doi: 10.36253/jpm-3292

Zusammenfassung

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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Fachgebiet (DDC)
100 Philosophie

Schlagwörter

Mathematical structuralism, arbitrary object theory, permutation problem

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undefined / . - undefined, undefined

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ISO 690HORSTEN, Leon, 2025. Structures in Arbitrary Object Theory. In: Journal for the Philosophy of Mathematics. Firenze University Press. 2025, 2, S. 35-44. eISSN 3035-1863. Verfügbar unter: doi: 10.36253/jpm-3292
BibTex
@article{Horsten2025-12-30Struc-75654,
  title={Structures in Arbitrary Object Theory},
  year={2025},
  doi={10.36253/jpm-3292},
  volume={2},
  journal={Journal for the Philosophy of Mathematics},
  pages={35--44},
  author={Horsten, Leon}
}
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