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Relations in monadic third-order logic
Journal of Philosophical Logic 26 (6):619-628 (1997)
Abstract
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 assumedMy notes
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Citations of this work
Representation of Functions and Total Antisymmetric Relations in Monadic Third Order Logic.M. Randall Holmes - 2019 - Journal of Philosophical Logic 48 (2):263-278.
Meghetologia.Massimiliano Carrara & Filippo Mancini - 2020 - Aphex. Portale Italiano di Filosofia Analitica 21 (1):1-49.
Induction and comparison.Paul Pietrowski - 2007 - University of Maryland Working Papers in Linguistics 15:154-188.
References found in this work
Introduction to mathematical logic..Alonzo Church - 1944 - Princeton,: Princeton university press: London, H. Milford, Oxford university press. Edited by C. Truesdell.
Set Theory and its Logic: Revised Edition.Willard Van Orman Quine - 1963 - Harvard University Press.
Introduction to mathematical logic.Alonso Church - 1958 - Revue de Métaphysique et de Morale 63 (1):118-118.
Set Theory and Its Logic.Joseph S. Ullian & Willard Van Orman Quine - 1966 - Philosophical Review 75 (3):383.
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