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Chapter 8 - Normativity and Collapse

Published online by Cambridge University Press:  23 March 2023

Erik Stei
Affiliation:
Universiteit Utrecht, The Netherlands
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Summary

The previous chapter highlighted the difficulties of combining logical pluralism with a semantic account of rivalry between correct logics. This chapter discusses the weaker conception of applicational rivalry and its relation to the idea that logical consequence has a certain kind of normative force. I argue that all variants of logical pluralism that meet the following three conditions are susceptible to what has been called the collapse problem for logical pluralism: (i) that there are at least two correct logical systems characterized in terms of different consequence relations, (ii) that there is applicational rivalry among the correct logics, and (iii) that logical consequence is normative. I argue that if a position satisfies all these conditions, then that position is unstable in the sense that it collapses into competing positions. In a final step, I show how the collapse problem persists even without an explicitly logical normativity constraint, leaving only conditions (i) and (ii). The problem can therefore be viewed as a result of two core assumptions: plurality and a very weak sense of rivalry that is endorsed by virtually all logical pluralists.

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Publisher: Cambridge University Press
Print publication year: 2023

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  • Normativity and Collapse
  • Erik Stei, Universiteit Utrecht, The Netherlands
  • Book: Logical Pluralism and Logical Consequence
  • Online publication: 23 March 2023
  • Chapter DOI: https://doi.org/10.1017/9781108859585.009
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  • Normativity and Collapse
  • Erik Stei, Universiteit Utrecht, The Netherlands
  • Book: Logical Pluralism and Logical Consequence
  • Online publication: 23 March 2023
  • Chapter DOI: https://doi.org/10.1017/9781108859585.009
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.

  • Normativity and Collapse
  • Erik Stei, Universiteit Utrecht, The Netherlands
  • Book: Logical Pluralism and Logical Consequence
  • Online publication: 23 March 2023
  • Chapter DOI: https://doi.org/10.1017/9781108859585.009
Available formats
×