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3 - Entailment and Possible Worlds

Published online by Cambridge University Press:  08 February 2024

Edwin Mares
Affiliation:
Victoria University of Wellington
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Summary

One difficulty with Lewis’s logics favourite systems, S1–S3, is that they have no intuitive semantics or proof theory. Another approach to constructing a logic of entailment is to begin with a semantic intuition and then adopt the logic characterized by the semantics. This is the approach of Carnap’s Meaning and Necessity. On Carnap’s view, entailment is just strict implication in the sense of the logic S5. The chapter examines Carnap’s semantics and its successor developed by Nino Cocchiarella, and finds that whereas they may give a good representation of the notion of logical truth, they do not provide an adequate analysis of entailment. Once again, the problem of implosion and nested entailments are problematic. This chapter also looks at attempts to solve these difficulties using worlds at which the logical truths differ, and raises philosophical worries about them.

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Publisher: Cambridge University Press
Print publication year: 2024

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  • Entailment and Possible Worlds
  • Edwin Mares, Victoria University of Wellington
  • Book: The Logic of Entailment and its History
  • Online publication: 08 February 2024
  • Chapter DOI: https://doi.org/10.1017/9781009375283.005
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  • Entailment and Possible Worlds
  • Edwin Mares, Victoria University of Wellington
  • Book: The Logic of Entailment and its History
  • Online publication: 08 February 2024
  • Chapter DOI: https://doi.org/10.1017/9781009375283.005
Available formats
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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.

  • Entailment and Possible Worlds
  • Edwin Mares, Victoria University of Wellington
  • Book: The Logic of Entailment and its History
  • Online publication: 08 February 2024
  • Chapter DOI: https://doi.org/10.1017/9781009375283.005
Available formats
×