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2 - Actualist Set Theory

from Part I

Published online by Cambridge University Press:  10 February 2022

Sharon Berry
Sharon Berry
Affiliation:
Ashoka University, India
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Summary

This chapter discusses problems for actualist concerning the intended height of the hierarchy of sets and intuitively justifying the axiom of Replacement.

Keywords

Actualist set theoryBurali-Forti paradoxAxiom of ReplacementReflection PrinciplesTim ButtonPeter KoellnerMichael DummettIndefinite ExtensabilityBoolos
Type
Chapter
Information
A Logical Foundation for Potentialist Set Theory , pp. 13 - 30
Publisher: Cambridge University Press
Print publication year: 2022

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  • Actualist Set Theory
  • Sharon Berry
  • Book: A Logical Foundation for Potentialist Set Theory
  • Online publication: 10 February 2022
  • Chapter DOI: https://doi.org/10.1017/9781108992756.002
Available formats
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  • Actualist Set Theory
  • Sharon Berry
  • Book: A Logical Foundation for Potentialist Set Theory
  • Online publication: 10 February 2022
  • Chapter DOI: https://doi.org/10.1017/9781108992756.002
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.

  • Actualist Set Theory
  • Sharon Berry
  • Book: A Logical Foundation for Potentialist Set Theory
  • Online publication: 10 February 2022
  • Chapter DOI: https://doi.org/10.1017/9781108992756.002
Available formats
×