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5 - Structure in Mathematics

Published online by Cambridge University Press:  24 May 2019

Leon Horsten
Leon Horsten
Affiliation:
University of Bristol
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Summary

This chapter is of a transitional nature. I turn to the connection between arbitrary object theory and the notion of mathematical structuralism. Arbitrary object theory is put asidefor a while, and I concentrate on forms of eliminative and non-eliminative structuralism in the philosophy of mathematics.

Keywords

mathematical structuremathematical structuralism eliminative structuralismnon-eliminative structuralismante rem structuralismin rebus structuralismcomputational structuralismset theory
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Chapter
Information
The Metaphysics and Mathematics of Arbitrary Objects , pp. 78 - 104
Publisher: Cambridge University Press
Print publication year: 2019

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  • Structure in Mathematics
  • Leon Horsten, University of Bristol
  • Book: The Metaphysics and Mathematics of Arbitrary Objects
  • Online publication: 24 May 2019
  • Chapter DOI: https://doi.org/10.1017/9781139600293.007
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  • Structure in Mathematics
  • Leon Horsten, University of Bristol
  • Book: The Metaphysics and Mathematics of Arbitrary Objects
  • Online publication: 24 May 2019
  • Chapter DOI: https://doi.org/10.1017/9781139600293.007
Available formats
×

Save book to Google Drive

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Google Drive.

  • Structure in Mathematics
  • Leon Horsten, University of Bristol
  • Book: The Metaphysics and Mathematics of Arbitrary Objects
  • Online publication: 24 May 2019
  • Chapter DOI: https://doi.org/10.1017/9781139600293.007
Available formats
×