I discuss paradoxes of implication in the setting of a proof-conditional theory of meaning for logical constants. I argue that a proper logic of implication should be not only relevant, but also constructive and nonmonotonic. This leads me to select as a plausible candidate LL, a fragment of linear logic that differs from R in that it rejects both contraction and distribution.

Implicational paradoxes and the meaning of logical constants

PAOLI, FRANCESCO
2007

Abstract

I discuss paradoxes of implication in the setting of a proof-conditional theory of meaning for logical constants. I argue that a proper logic of implication should be not only relevant, but also constructive and nonmonotonic. This leads me to select as a plausible candidate LL, a fragment of linear logic that differs from R in that it rejects both contraction and distribution.
Implicational paradoxes; Relevant logic; Proof-conditional semantics
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11584/22333
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