Systems of substitutional semantics

Philosophy of Science 51 (4):631-656 (1984)

Authors
Daniel Bonevac
University of Texas at Austin
Abstract
I investigate substitutional interpretations of quantifiers that count existential sentences true just in case they have true instances in a parametric extension of the language. I devise a semantics meeting four criteria: (1) it accounts adequately for natural language quantification; (2) it provides an account of justification in abstract sciences; (3) it constitutes a continuous semantics for natural and formal languages; and (4) it is purely substitutional, containing no appeal to referential interpretations. The prospects for a purely substitutional theory of quantification are thus no worse than for a referential account
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DOI 10.1086/289209
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Logic Without Metaphysics.José L. Zalabardo - forthcoming - Synthese:1-28.
Ontology and Objectivity.Thomas Hofweber - 1999 - Dissertation, Stanford University
Quantity and Quantification.Daniel Bonevac - 1985 - Noûs 19 (2):229-247.

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