Towards a polarized semantics for assertion and denial

Logic Journal of the IGPL (forthcoming)
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Abstract

Recent logic and linguistic literature suggest that certain forms of denial cannot be reduced to a simple assertion of negation. In particular, the existence of mathematical and empirical conjectures offers a basis for refuting Frege’s thesis of equivalence between denial and assertion of negation. Following this line of thought we develop a formal framework with two primitive illocutionary operators for assertion and denial, where denial is not a simple negation of assertion. We introduce a semantics for the operators mentioned above. Finally, we discuss the relations between asserted and denied contents.

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Author Profiles

Massimiliano Carrara
University of Padua
Daniele Chiffi
Politecnico di Milano
Ciro De Florio
Università Cattolica di Milano

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References found in this work

Weak Rejection.Luca Incurvati & Julian J. Schlöder - 2017 - Australasian Journal of Philosophy 95 (4):741-760.
Yes and no.I. Rumfitt - 2000 - Mind 109 (436):781-823.
Rejection.Timothy Smiley - 1996 - Analysis 56 (1):1–9.
The logic of justification.Sergei Artemov - 2008 - Review of Symbolic Logic 1 (4):477-513.
Assertion, denial, and the liar paradox.Terence Parsons - 1984 - Journal of Philosophical Logic 13 (2):137 - 152.

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