Herbrand semantics, the potential infinite, and ontology-free logic

History and Philosophy of Logic 13 (1):69-90 (1992)
Abstract
This paper investigates the ontological presuppositions of quantifier logic. It is seen that the actual infinite, although present in the usual completeness proofs, is not needed for a proper semantic foundation. Additionally, quantifier logic can be given an adequate formulation in which neither the notion of individual nor that of a predicate appears
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References found in this work BETA
Susan Haack (1978). Philosophy of Logics. Cambridge University Press.
Theodore Hailperin (1987). Infinite Truth-Functional Logic. Notre Dame Journal of Formal Logic 29 (1):28-33.
Jacques Herbrand (1971). Logical Writings. Dordrecht, Holland,D. Reidel Pub. Co..

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Citations of this work BETA
Theodore Hailperin (2011). Logic Semantics with the Potential Infinite. History and Philosophy of Logic 31 (2):145-159.
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