Logical necessity, physical necessity, ethics, and quantifiers

Inquiry 3 (1-4):259 – 269 (1960)
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
Rudolf Carnap (1946). Modalities and Quantification. Journal of Symbolic Logic 11 (2):33-64.
Richard Montague & Donald Kalish (1959). That. Philosophical Studies 10 (4):54 - 61.
Rudolf Carnap (1946). The Two Concepts of Probability. Journal of Symbolic Logic 11 (1):19-23.

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Citations of this work BETA
David Lewis (1970). General Semantics. Synthese 22 (1-2):18--67.
B. Jack Copeland (2002). The Genesis of Possible Worlds Semantics. Journal of Philosophical Logic 31 (2):99-137.
Roberta Ballarin (2005). Validity and Necessity. Journal of Philosophical Logic 34 (3):275 - 303.

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