Logical necessity, physical necessity, ethics, and quantifiers

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.
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Citations of this work BETA
General Semantics.David Lewis - 1970 - Synthese 22 (1-2):18--67.
The Genesis of Possible Worlds Semantics.B. Jack Copeland - 2002 - Journal of Philosophical Logic 31 (2):99-137.
Pragmatics and Intensional Logic.Richard Montague - 1970 - Synthese 22 (1-2):68--94.
Validity and Necessity.Roberta Ballarin - 2004 - Journal of Philosophical Logic 34 (3):275-303.
Mathematical Modal Logic: A View of its Evolution.Robert Goldblatt - 2003 - Journal of Applied Logic 1 (5-6):309-392.

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