Relations in monadic third-order logic

Journal of Philosophical Logic 26 (6):619-628 (1997)
The representation of quantification over relations in monadic third-order logic is discussed; it is shown to be possible in numerous special cases of foundational interest, but not in general unless something akin to the Axiom of Choice is assumed
Keywords Philosophy
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Reprint years 2004
DOI 10.1023/A:1004247419201
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References found in this work BETA
Introduction to Mathematical Logic.Alonzo Church - 1944 - London: Oxford University PRess.
Set Theory and its Logic.Willard V. Quine - 1963 - Harvard University Press.
Against Pluralism.A. P. Hazen - 1993 - Australasian Journal of Philosophy 71 (2):132 – 144.
Reductions in the Theory of Types.K. Jaakko Hintikka - 1966 - Journal of Symbolic Logic 31 (4):660-660.
Arithmetic and the Theory of Types.M. Boffa - 1984 - Journal of Symbolic Logic 49 (2):621-624.

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