Modeling occurrences of objects in relations

Review of Symbolic Logic 3 (1):145-174 (2010)
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Abstract

We study the logical structure of relations, and in particular the notion of occurrences of objects in a state. We start with formulating a number of principles for occurrences and defining corresponding mathematical models. These models are analyzed to get more insight in the formal properties of occurrences. In particular, we prove uniqueness results that tell us more about the possible logical structures relations might have

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Joop Leo
Utrecht University

Citations of this work

A Theory of Structured Propositions.Andrew Bacon - 2023 - Philosophical Review 132 (2):173-238.
Relations.Fraser MacBride - 2016 - Stanford Encyclopedia of Philosophy.
Collective Abstraction.Jon Erling Litland - 2022 - Philosophical Review 131 (4):453-497.
Relational Complexes.Joop Leo - 2013 - Journal of Philosophical Logic 42 (2):357-390.
Coordinate-free logic.Joop Leo - 2016 - Review of Symbolic Logic 9 (3):522-555.

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References found in this work

Elementary logic.Benson Mates - 1965 - New York,: Oxford University Press.
Theory of knowledge: the 1913 manuscript.Bertrand Russell - 1984 - New York: Routledge. Edited by Elizabeth Ramsden Eames & Kenneth Blackwell.
The Higher Infinite.Akihiro Kanamori - 2000 - Studia Logica 65 (3):443-446.
Set Theory.Keith J. Devlin - 1981 - Journal of Symbolic Logic 46 (4):876-877.

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