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6 - The Paradoxes

Published online by Cambridge University Press:  17 October 2024

Volker Halbach  and
Graham E. Leigh
Volker Halbach
Affiliation:
University of Oxford
Graham E. Leigh
Affiliation:
University of Gothenburg, Sweden
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Summary

Some simple applications of the diagonal lemma are given. Many of the well-known paradoxes (liar, Montague’s, Yablo’s, Curry’s paradoxes, Tarski’s theorem) are presented.

Keywords

liar paradoxYablo’s paradoxMontague’s paradoxno future paradoxTarski’s theorem on the undefinability of truthLöb’s theorem
Type
Chapter
Information
The Road to Paradox
A Guide to Syntax, Truth and Modality
 , pp. 75 - 118
Publisher: Cambridge University Press
Print publication year: 2024

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  • The Paradoxes
  • Volker Halbach, University of Oxford, Graham E. Leigh, University of Gothenburg, Sweden
  • Book: The Road to Paradox
  • Online publication: 17 October 2024
  • Chapter DOI: https://doi.org/10.1017/9781108888400.007
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  • The Paradoxes
  • Volker Halbach, University of Oxford, Graham E. Leigh, University of Gothenburg, Sweden
  • Book: The Road to Paradox
  • Online publication: 17 October 2024
  • Chapter DOI: https://doi.org/10.1017/9781108888400.007
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.

  • The Paradoxes
  • Volker Halbach, University of Oxford, Graham E. Leigh, University of Gothenburg, Sweden
  • Book: The Road to Paradox
  • Online publication: 17 October 2024
  • Chapter DOI: https://doi.org/10.1017/9781108888400.007
Available formats
×