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8 - The Logic of Entailment

Published online by Cambridge University Press:  08 February 2024

Edwin Mares
Edwin Mares
Affiliation:
Victoria University of Wellington
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Summary

In this chapter, the semantical framework of Chapter 7 is fine-tuned in order to provide a semantics for Anderson and Belnap’s logic E of relevant entailment. It is shown how a form of logical necessity can be represented in the semantics, and this is used to motivate the postulates that are needed to characterize that logic. A labelled deduction system (introduced in Chapter 7) is also used to show how to derive the axioms of E easily.

Keywords

Relevance LogicLogic EEntailmentNecessityLogical ConsequenceNatural DeductionFormal Semantics
Type
Chapter
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The Logic of Entailment and its History , pp. 157 - 174
Publisher: Cambridge University Press
Print publication year: 2024

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  • The Logic of Entailment
  • Edwin Mares, Victoria University of Wellington
  • Book: The Logic of Entailment and its History
  • Online publication: 08 February 2024
  • Chapter DOI: https://doi.org/10.1017/9781009375283.012
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  • The Logic of Entailment
  • Edwin Mares, Victoria University of Wellington
  • Book: The Logic of Entailment and its History
  • Online publication: 08 February 2024
  • Chapter DOI: https://doi.org/10.1017/9781009375283.012
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.

  • The Logic of Entailment
  • Edwin Mares, Victoria University of Wellington
  • Book: The Logic of Entailment and its History
  • Online publication: 08 February 2024
  • Chapter DOI: https://doi.org/10.1017/9781009375283.012
Available formats
×