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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DOI 10.1023/A:1004247419201
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References found in this work BETA
Alonzo Church (1944). Introduction to Mathematical Logic. London, H. Milford, Oxford University Press.
A. P. Hazen (1993). Against Pluralism. Australasian Journal of Philosophy 71 (2):132 – 144.
K. Jaakko Hintikka (1966). Reductions in the Theory of Types. Journal of Symbolic Logic 31 (4):660-660.
M. Boffa (1984). Arithmetic and the Theory of Types. Journal of Symbolic Logic 49 (2):621-624.

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