A model-theoretic criterion of ontology

Synthese 71 (1):1 - 18 (1987)
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Abstract

My aim has been to adapt Quine's criterion of the ontological commitment of theories couched in standard quantificational idiom to a much broader class of theories by focusing on the set-theoretic structure of the models of those theories. For standard first-order theories, the two criteria coincide on simple entities. Divergences appear as they are applied to higher-order theories and as composite entities are taken into account. In support of the extended criterion, I appeal to its fruits in treating the various examples considered above and to the healthy intuitions of the non-noneists among us. Don't O(m) and E(m) comprise just the things we should have though existed according to a particular interpretation m of a language or a theory? Whatever the answer (and it will hardly be unanimous), I hope to have pointed the way towards a recognition of ontology as a worthwhile branch of modern theory

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Four modal modelings.John Bacon - 1988 - Journal of Philosophical Logic 17 (2):91 - 114.

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References found in this work

Ontological relativity and other essays.Willard Van Orman Quine (ed.) - 1969 - New York: Columbia University Press.
The ways of paradox, and other essays.Willard Van Orman Quine (ed.) - 1976 - Cambridge, Mass.: Harvard University Press.
Semantical Considerations on Modal Logic.Saul Kripke - 1963 - Acta Philosophica Fennica 16:83-94.
Methods of Logic.P. L. Heath & Willard Van Orman Quine - 1955 - Philosophical Quarterly 5 (21):376.
Ontology and the vicious-circle principle.Charles S. Chihara - 1973 - Ithaca [N.Y.]: Cornell University Press.

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