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A Binary Quantifier for Definite Descriptions in Intuitionist Negative Free Logic: Natural Deduction and Normalisation
Bulletin of the Section of Logic 48 (2):81-97 (2019)
Abstract
This paper presents a way of formalising definite descriptions with a binary quantifier ι, where ιx[F, G] is read as ‘The F is G’. Introduction and elimination rules for ι in a system of intuitionist negative free logic are formulated. Procedures for removing maximal formulas of the form ιx[F, G] are given, and it is shown that deductions in the system can be brought into normal form.Author's Profile
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Citations of this work
Definite Descriptions in Intuitionist Positive Free Logic.Nils Kürbis - 2020 - Logic and Logical Philosophy 30:1.
Two Treatments of Definite Descriptions in Intuitionist Negative Free Logic.Nils Kürbis - 2019 - Bulletin of the Section of Logic 48 (4):299-317.
Free Definite Description Theory – Sequent Calculi and Cut Elimination.Andrzej Indrzejczak - forthcoming - Logic and Logical Philosophy:1.
A Binary Quantifier for Definite Descriptions for Cut Free Free Logics.Nils Kürbis - 2021 - Studia Logica 110 (1):219-239.
Russellian Definite Description Theory—a Proof Theoretic Approach.Andrzej Indrzejczak - 2023 - Review of Symbolic Logic 16 (2):624-649.
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