Dialectica 73 (1-2):31-63 (2019)

Authors
Nils Kürbis
University of Lodz
Abstract
The problem of negative truth is the problem of how, if everything in the world is positive, we can speak truly about the world using negative propositions. A prominent solution is to explain negation in terms of a primitive notion of metaphysical incompatibility. I argue that if this account is correct, then minimal logic is the correct logic. The negation of a proposition A is characterised as the minimal incompatible of A composed of it and the logical constant ¬. A rule based account of the meanings of logical constants that appeals to the notion of incompatibility in the introduction rule for negation ensures the existence and uniqueness of the negation of every proposition. But it endows the negation operator with no more formal properties than those it has in minimal logic.
Keywords Negation  Falsity  Incompatibility  Logic  Parmenides  Plato
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DOI 10.1111/1746-8361.12267
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References found in this work BETA

Tractatus logico-philosophicus.Ludwig Wittgenstein - 1922 - Filosoficky Casopis 52:336-341.
The Logical Basis of Metaphysics.Michael Dummett, Hilary Putnam & James Conant - 1994 - Philosophical Quarterly 44 (177):519-527.
Truthmakers for Negative Truths.George Molnar - 2000 - Australasian Journal of Philosophy 78 (1):72 – 86.
Meaning Approached Via Proofs.Dag Prawitz - 2006 - Synthese 148 (3):507-524.
Negative Truths From Positive Facts.Colin Cheyne & Charles Pigden - 2006 - Australasian Journal of Philosophy 84 (2):249 – 265.

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