First-Degree Entailment and Truthmaker Functions

Journal of Philosophical Logic 53 (2):373-390 (2024)
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Abstract

We define a concept of truthmaker function, and prove the functional completeness, w.r.t. truthmaker functions in this sense, of a set of four-valued functions corresponding to standard connectives of the system of relevance logic known as First-Degree Entailment or Belnap–Dunn logic.

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References found in this work

Angellic Content.Kit Fine - 2016 - Journal of Philosophical Logic 45 (2):199-226.
Faulty Belnap Computers and Subsystems of FDE.Thomas Macaulay Ferguson - 2016 - Journal of Logic and Computation 26 (5):1617–1636.
Epimorphism between Fine and Ferguson’s Matrices for Angell’s AC.Richard Zach - 2023 - Logic and Logical Philosophy 32 (2):161-179.
Four-Valued Paradefinite Logics.Ofer Arieli & Arnon Avron - 2017 - Studia Logica 105 (6):1087-1122.

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