Generic structures

Leon Horsten

doi:10.1093/philmat/nky015

Generic structures

Leon Horsten

Department of Philosophy

Research output: Contribution to journal › Article (Academic Journal) › peer-review

2 Citations (Scopus)

199 Downloads (Pure)

Abstract

In this article ideas from Kit Fine’s theory of arbitrary objects are applied to questions regarding mathematical structuralism. I discuss how sui generis mathematical structures can be viewed as generic systems of mathematical objects, where mathematical objects are conceived of as arbitrary objects in Fine’s sense.

Original language	English
Article number	nky015
Number of pages	19
Journal	Philosophia Mathematica
Early online date	16 Jul 2018
DOIs	https://doi.org/10.1093/philmat/nky015
Publication status	E-pub ahead of print - 16 Jul 2018

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10.1093/philmat/nky015

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This is the author accepted manuscript (AAM). The final published version (version of record) is available online via Oxford University Press at https://academic.oup.com/philmat/advance-article/doi/10.1093/philmat/nky015/5057047?searchresult=1 . Please refer to any applicable terms of use of the publisher.
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The metaphysics and mathematics of arbitrary objects
Horsten, L., 13 Jun 2019, Cambridge University Press.
Research output: Book/Report › Authored book

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Generic structures

Abstract

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Research output

The metaphysics and mathematics of arbitrary objects

Cite this