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arXiv · 2108.01976

A Binary Quantifier for Definite Descriptions in Intuitionist Negative Free Logic: Natural Deduction and Normalisation

Nils Kürbis
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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.

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Nils Kürbis. 2021-08-04. A Binary Quantifier for Definite Descriptions in Intuitionist Negative Free Logic: Natural Deduction and Normalisation. https://doi.org/10.18778/0138-0680.48.2.01

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