Systems for non-reflexive consequence

Abstract

Substructural logics and their application to logical and semantic paradoxes have been extensively studied, but non-reflexive systems have been somewhat neglected. Here, we aim to fill this lacuna, at least in part, by presenting a non-reflexive logic and theory of naive consequence (and truth). We also investigate the semantics and the proof-theory of the system. Finally, we develop a compositional theory of truth (and consequence) in our non-reflexive framework.

Author Profiles

Carlo Nicolai
King's College London
Lorenzo Rossi
Università di Torino

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Added to PP
2020-09-18

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