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ISOMORPHISM INVARIANCE AND OVERGENERATION

  • OWEN GRIFFITHS (a1) and A.C. PASEAU (a2)
Abstract
Abstract

The isomorphism invariance criterion of logical nature has much to commend it. It can be philosophically motivated by the thought that logic is distinctively general or topic neutral. It is capable of precise set-theoretic formulation. And it delivers an extension of ‘logical constant’ which respects the intuitively clear cases. Despite its attractions, the criterion has recently come under attack. Critics such as Feferman, MacFarlane and Bonnay argue that the criterion overgenerates by incorrectly judging mathematical notions as logical. We consider five possible precisifications of the overgeneration argument and find them all unconvincing.

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This list contains references from the content that can be linked to their source. For a full set of references and notes please see the PDF or HTML where available.

S. Feferman , Which quantifiers are logical? A combined semantical and inferential criterion , Quantifiers, Quantifiers, and Quantifiers: Themes in Logic, Metaphysics and Language ( A. Torza , editor), Springer, 2015, pp. 1930.

G. Sher , Epistemic Friction, Oxford University Press, Oxford, 2016.

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Bulletin of Symbolic Logic
  • ISSN: 1079-8986
  • EISSN: 1943-5894
  • URL: /core/journals/bulletin-of-symbolic-logic
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