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Non-reflexivity and Revenge


We present a revenge argument for non-reflexive theories of semantic notions – theories which restrict the rule of assumption, or (equivalently) initial sequents of the form φφ. Our strategy follows the general template articulated in Murzi and Rossi [21]: we proceed via the definition of a notion of paradoxicality for non-reflexive theories which in turn breeds paradoxes that standard non-reflexive theories are unable to block.


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We wish to thank an anonymous reviewer for helpful comments on a previous draft as well as the FWF (project number 29716-G24) for generous financial support.


Open access funding provided by Paris Lodron University of Salzburg.

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Correspondence to Julien Murzi.

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Murzi, J., Rossi, L. Non-reflexivity and Revenge. J Philos Logic 51, 201–218 (2022).

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  • Liar paradox
  • Curry’s Paradox
  • Validity Curry
  • Non-reflexive logics
  • Revenge