The modality and non-extensionality of the quantifiers

Synthese 196 (7):2545-2554 (2019)
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Abstract

We shall try to defend two non-standard views that run counter to two well-entrenched familiar views. The standard views are the universal and existential quantifiers of first-order logic are not modal operators, and the quantifiers are extensional. If that is correct then the counterclaims create genuine problems for some traditional philosophical doctrines.

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10.1007/s11229-014-0539-6

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Arnold Koslow
CUNY Graduate Center

Citations of this work

Ideology in a Desert Landscape.Alessandro Torza - 2017 - Philosophical Issues 27 (1):383-406.
Bi-intuitionistic implication structures.Daniel Skurt - 2018 - Journal of Applied Non-Classical Logics 28 (1):20-34.

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References found in this work

On a generalization of quantifiers.Andrzej Mostowski - 1957 - Fundamenta Mathematicae 44 (2):12--36.
Modalities and quantification.Rudolf Carnap - 1946 - Journal of Symbolic Logic 11 (2):33-64.
A Structuralist Theory of Logic.Arnold Koslow - 1992 - New York: Cambridge University Press.
On a Generalization of Quantifiers.A. Mostowski - 1958 - Journal of Symbolic Logic 23 (2):217-217.

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