Conjunctive paraconsistency

Synthese 199 (3-4):6845-6874 (2021)
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This article is a preliminary presentation of conjunctive paraconsistency, the claim that there might be non-explosive true contradictions, but contradictory propositions cannot be considered separately true. In case of true ‘p and not p’, the conjuncts must be held untrue, Simplification fails. The conjunctive approach is dual to non-adjunctive conceptions of inconsistency, informed by the idea that there might be cases in which a proposition is true and its negation is true too, but the conjunction is untrue, Adjunction fails. While non-adjunctivism is a well-known option, the other view is not so much studied nowadays, but it was not unknown in the tradition, and there are some positive suggestions, in recent literature, that the position is plausible and deserves to be developed. The article compares conjunctivism, non-adjunctivism and dialetheism, then focuses on some possible justifications, costs and benefits of the conjunctive view.

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Author's Profile

Franca d'Agostini
Università degli Studi di Milano

Citations of this work

Dialetheism.Francesco Berto, Graham Priest & Zach Weber - 2008 - Stanford Encyclopedia of Philosophy 2018 (2018).
Hegelian Conjunction, Hegelian Contradiction.Jc Beall & Elena Ficara - 2023 - History and Philosophy of Logic 44 (2):119-131.
The Birth of Dialetheism.Elena Ficara - 2021 - History and Philosophy of Logic 42 (3):281-296.
Hegel’s Interpretation of the Liar Paradox.Franca D’Agostini & Elena Ficara - 2021 - History and Philosophy of Logic 43 (2):105-128.
Hegel’s Interpretation of the Sorites.Franca D’Agostini - 2023 - History and Philosophy of Logic 44 (2):132-150.

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Guide to Ground.Kit Fine - 2012 - In Fabrice Correia & Benjamin Schnieder (eds.), Metaphysical Grounding. Cambridge University Press. pp. 37--80.
Aboutness.Stephen Yablo - 2014 - Oxford: Princeton University Press.
Saving truth from paradox.Hartry H. Field - 2008 - New York: Oxford University Press.
Truth and truthmakers.D. M. Armstrong - 2004 - New York: Cambridge University Press.
Between Probability and Certainty: What Justifies Belief.Martin Smith - 2016 - Oxford, GB: Oxford University Press UK.

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