DLEAC and the Rejection Paradox

Journal of Applied Logics 8 (2):377-396 (2021)

Abstract

In this paper we first develop a Dialetheic Logic with Exclusive Assumptions and Conclusions, DLEAC. We adopt the semantics of the logic of paradox (LP) extended with a notion of model suitable for DLEAC, and we modify its proof theory by refining the notions of assumption and conclusion, which are understood as speech acts. We introduce a new paradox – the rejectability paradox – first informally, then formally. We then provide its derivation in an extension of DLEAC contanining the rejectability predicate.

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Author Profiles

Massimiliano Carrara
University of Padua
Andrea Strollo
NanJing University

References found in this work

The Logic of Paradox.Graham Priest - 1979 - Journal of Philosophical Logic 8 (1):219 - 241.
A Calculus for Antinomies.F. G. Asenjo - 1966 - Notre Dame Journal of Formal Logic 16 (1):103-105.
Assertion, Denial, and the Liar Paradox.Terence Parsons - 1984 - Journal of Philosophical Logic 13 (2):137 - 152.
Hopes Fade for Saving Truth. [REVIEW]Graham Priest - 2010 - Philosophy 85 (1):109-140.

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