Logic for exact entailment

Review of Symbolic Logic 12 (3):536-556 (2019)

Mark Jago
Nottingham University
Kit Fine
New York University
An exact truthmaker for A is a state which, as well as guaranteeing A’s truth, is wholly relevant to it. States with parts irrelevant to whether A is true do not count as exact truthmakers for A. Giving semantics in this way produces a very unusual consequence relation, on which conjunctions do not entail their conjuncts. This feature makes the resulting logic highly unusual. In this paper, we set out formal semantics for exact truthmaking and characterise the resulting notion of entailment, showing that it is compact and decidable. We then investigate the effect of various restrictions on the semantics. We also formulate a sequent-style proof system for exact entailment and give soundness and completeness results.
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DOI 10.1017/s1755020318000151
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References found in this work BETA

Angellic Content.Kit Fine - 2016 - Journal of Philosophical Logic 45 (2):199-226.
Mereology.Achille C. Varzi - 2016 - Stanford Encyclopedia of Philosophy.
Facts and Tautological Entailments.Bas C. Van Fraassen - 1969 - Journal of Philosophy 66 (15):477-487.

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A Plea for Inexact Truthmaking.Michael Deigan - forthcoming - Linguistics and Philosophy:1-22.

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