Abstract
Some philosophers, for example Quine, doubt the possibility of jointly using modalities and quantification. Simple model-theoretic considerations, however, lead to a reconciliation of quantifiers with such modal concepts as logical, physical, and ethical necessity, and suggest a general class of modalities of which these are instances. A simple axiom system, analogous to the Lewis systems S1 —S5, is considered in connection with this class of modalities. The system proves to be complete, and its class of theorems decidable.
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DOI 10.1080/00201746008601312
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References found in this work BETA

A Completeness Theorem in Modal Logic.Saul A. Kripke - 1959 - Journal of Symbolic Logic 24 (1):1-14.
Modalities and Quantification.Rudolf Carnap - 1946 - Journal of Symbolic Logic 11 (2):33-64.
The Morning Star Paradox.Stig Kanger - 1957 - Theoria 23 (1):1-11.
The Two Concepts of Probability.Rudolf Carnap - 1946 - Journal of Symbolic Logic 11 (1):19-23.

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Citations of this work BETA

General Semantics.David K. Lewis - 1970 - Synthese 22 (1-2):18--67.
Abstract Objects.Gideon Rosen - 2008 - Stanford Encyclopedia of Philosophy.
Pragmatics and Intensional Logic.Richard Montague - 1970 - Synthese 22 (1-2):68--94.
Hyperintensionality and Normativity.Federico L. G. Faroldi - 2019 - Cham, Switzerland: Springer Verlag.
The Genesis of Possible Worlds Semantics.B. Jack Copeland - 2002 - Journal of Philosophical Logic 31 (2):99-137.

View all 40 citations / Add more citations

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