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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References found in this work BETA
Krister Segerberg (1973). Two-Dimensional Modal Logic. Journal of Philosophical Logic 2 (1):77 - 96.
Citations of this work BETA
M. J. Cresswell (2010). Temporal Reference in Linear Tense Logic. Journal of Philosophical Logic 39 (2):173 - 200.
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