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

Nils Kürbis

doi:10.18778/0138-0680.48.2.01

Authors

Nils Kürbis Department of Philosophy, University College London, London, UK

DOI:

https://doi.org/10.18778/0138-0680.48.2.01

Keywords:

definite descriptions, negative intuitionist free logic, natural deduction, normalization

Abstract

This paper presents a way of formalising definite descriptions with a binary quantifier ℩, where ℩x[F, G] is read as `The F is G'. Introduction and elimination rules for ℩ in a system of intuitionist negative free logic are formulated. Procedures for removing maximal formulas of the form ℩x[F, G] are given, and it is shown that deductions in the system can be brought into normal form.

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