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

Marcus Rossberg
University of Connecticut
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
Keywords Second-order logic  Plurals  Relations  Ontological commitment  Boolos  Rayo  Yablo
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DOI 10.1007/s10992-014-9326-6
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References found in this work BETA

The Logical Basis of Metaphysics.Michael DUMMETT - 1991 - Harvard University Press.
Philosophy of Logic.W. V. O. Quine - 1970 - Harvard University Press.
Objects of Thought.A. N. PRIOR - 1971 - Clarendon Press.

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