Somehow Things Do Not Relate: On the Interpretation of Polyadic Second-Order Logic

Journal of Philosophical Logic 44 (3):341-350 (2015)
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Abstract

Boolos has suggested a plural interpretation of second-order logic for two purposes: to escape Quine’s allegation that second-order logic is set theory in disguise, and to avoid the paradoxes arising if the second-order variables are given a set-theoretic interpretation in second-order set theory. Since the plural interpretation accounts only for monadic second-order logic, Rayo and Yablo suggest an new interpretation for polyadic second-order logic in a Boolosian spirit. The present paper argues that Rayo and Yablo’s interpretation does not achieve the goal

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Marcus Rossberg
University of Connecticut

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Atomic ontology.Andrew Parisi - 2020 - Synthese 197 (1):355-379.

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References found in this work

The logical basis of metaphysics.Michael Dummett - 1991 - Cambridge, Mass.: Harvard University Press.
Philosophy of logic.Willard Van Orman Quine - 1970 - Cambridge, Mass.: Harvard University Press. Edited by Simon Blackburn & Keith Simmons.
Natural deduction: a proof-theoretical study.Dag Prawitz - 1965 - Mineola, N.Y.: Dover Publications.
Frege's conception of numbers as objects.Crispin Wright - 1983 - [Aberdeen]: Aberdeen University Press.

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