Quantifiers as modal operators

Studia Logica 39 (2-3):145 - 158 (1980)
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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DOI 10.1007/BF00370318
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Krister Segerberg (1973). Two-Dimensional Modal Logic. Journal of Philosophical Logic 2 (1):77 - 96.

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