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

• Autorzy: Nils Kürbis
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

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

• Wydawca: Wydawnictwo Uniwersytetu Łódzkiego
• Czasopismo: Bulletin of the Section of Logic
• Rocznik: 2019
• Tom: 48
• Numer: 2
• Strony: 81-97

Daty

wydano

2019-06-30

Twórcy

autor

Nils Kürbis

• Department of Philosophy, University College London, London, UK

Bibliografia

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• [5] D. Prawitz, Natural Deduction: A Proof-Theoretical Study, Stockholm, Göteborg, Uppsala: Almqvist and Wiksell, 1965.
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• [7] N. Tennant, A General Theory of Abstraction Operators, The Philosophical Quarterly, vol. 54, no. 214 (2004), pp. 105–133. https://doi.org/10.1111/j.0031-8094.2004.00344.x
• [8] N. Tennant, Natural Logic, Edinburgh: Edinburgh University Press, 1978.
• [9] A. S. Troelstra and H. Schwichtenberg, Basic Proof Theory, Cambridge University Press, 2 ed., 2000. https://doi.org/10.1017/CBO9781139168717

Identyfikatory

DOI

10.18778/0138-0680.48.2.01