Quantification and ontology

Synthese 124 (1-2):1-43 (2000)
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Abstract

Quineans have taken the basic expression of ontological commitment to be an assertion of the form '' x '', assimilated to theEnglish ''there is something that is a ''. Here I take the existential quantifier to be introduced, not as an abbreviation for an expression of English, but via Tarskian semantics. I argue, contrary to the standard view, that Tarskian semantics in fact suggests a quite different picture: one in which quantification is of a substitutional type apparently first proposed by Geach. The ontological burden is borne by constant symbols, and truth is defined separately from reference.

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References found in this work

From a Logical Point of View.Willard Van Orman Quine - 1953 - Cambridge: Harvard University Press.
Naming and Necessity.Saul Kripke - 1980 - Philosophy 56 (217):431-433.
Frege.Michael Dummett - 1975 - Teorema: International Journal of Philosophy 5 (2):149-188.
Constructibility and mathematical existence.Charles S. Chihara - 1990 - New York: Oxford University Press.

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