Quantifiers as modal operators

Studia Logica 39 (2-3):145 - 158 (1980)

Abstract

Montague, Prior, von Wright and others drew attention to resemblances between modal operators and quantifiers. In this paper we show that classical quantifiers can, in fact, be regarded as S5-like operators in a purely propositional modal logic. This logic is axiomatized and some interesting fragments of it are investigated.

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Steve Kuhn
Georgetown University

References found in this work

Two-Dimensional Modal Logic.Krister Segerberg - 1973 - Journal of Philosophical Logic 2 (1):77 - 96.
Egocentric Logic.A. N. Prior - 1968 - Noûs 2 (3):191-207.
"Now".Arthur Prior - 1968 - Noûs 2 (2):101-119.

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