Journal of Philosophical Logic 47 (2):281-299 (2018)

Michael De
Utrecht University
There is a relatively recent trend in treating negation as a modal operator. One such reason is that doing so provides a uniform semantics for the negations of a wide variety of logics and arguably speaks to a longstanding challenge of Quine put to non-classical logics. One might be tempted to draw the conclusion that negation is a modal operator, a claim Francesco Berto, 761–793, 2015) defends at length in a recent paper. According to one such modal account, the negation of a sentence is true at a world x just in case all the worlds at which the sentence is true are incompatible with x. Incompatibility is taken to be the key notion in the account, and what minimal properties a negation has comes down to which minimal conditions incompatibility satisfies. Our aims in this paper are twofold. First, we wish to point out problems for the modal account that make us question its tenability on a fundamental level. Second, in its place we propose an alternative, non-modal, account of negation as a contradictory-forming operator that we argue is superior to, and more natural than, the modal account.
Keywords negation  modality  compatibility  contradictory
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DOI 10.1007/s10992-017-9427-0
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References found in this work BETA

Philosophy of Logic.W. V. Quine - 1970 - Harvard University Press.
Spandrels of Truth.J. C. Beall - 2009 - Oxford, England: Oxford University Press.
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Citations of this work BETA

Negation on the Australian Plan.Francesco Berto & Greg Restall - 2019 - Journal of Philosophical Logic 48 (6):1119-1144.
On Negation for Non-classical Set Theories.S. Jockwich Martinez & G. Venturi - 2021 - Journal of Philosophical Logic 50 (3):549-570.
Against a Metaphysical Understanding of Rejection.Mariela Rubin & Ariel Roffé - 2018 - Principia: An International Journal of Epistemology 22 (1):189-202.
When Curry Met Abel.Manuel Eduardo Tapia-Navarro & Luis Estrada-González - 2020 - Logic Journal of the IGPL 28 (6):1233-1242.

View all 6 citations / Add more citations

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