Studia Logica 101 (1):1-9 (2013)
In recent years there has been a revitalised interest in non-classical solutions to the semantic paradoxes. In this paper I show that a number of logics are susceptible to a strengthened version of Curry's paradox. This can be adapted to provide a proof theoretic analysis of the omega-inconsistency in Lukasiewicz's continuum valued logic, allowing us to better evaluate which logics are suitable for a naïve truth theory. On this basis I identify two natural subsystems of Lukasiewicz logic which individually, but not jointly, lack the problematic feature.
|Keywords||Lukasiewicz logic Curry's paradox Semantic paradoxes Non-classical logic contraction|
|Categories||categorize this paper)|
References found in this work BETA
The Liar Paradox and Fuzzy Logic.Petr Hájek, Jeff Paris & John Shepherdson - 2000 - Journal of Symbolic Logic 65 (1):339-346.
Naïve Comprehension and Contracting Implications.Susan Rogerson & Sam Butchart - 2002 - Studia Logica 71 (1):119-132.
Citations of this work BETA
Non-Deterministic Conditionals and Transparent Truth.Federico Pailos & Lucas Rosenblatt - 2015 - Studia Logica 103 (3):579-598.
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