Modeling relations

Journal of Philosophical Logic 37 (4):353 - 385 (2008)

Authors
Joop Leo
Utrecht University
Abstract
In the ordinary way of representing relations, the order of the relata plays a structural role, but in the states themselves such an order often does not seem to be intrinsically present. An alternative way to represent relations makes use of positions for the arguments. This is no problem for the love relation, but for relations like the adjacency relation and cyclic relations, different assignments of objects to the positions can give exactly the same states. This is a puzzling situation. The question is what is the internal structure of relations? Is the use of positions still justified, and if so, what is their ontological status? In this paper mathematical models for relations are developed that provide more insight into the structure of relations “out there” in the real world.
Keywords argument-places  mathematical models  metaphysics  relations  states of affairs  substitution
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DOI 10.1007/s10992-007-9076-9
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References found in this work BETA

Neutral Relations.Kit Fine - 2000 - Philosophical Review 109 (1):1-33.
Vague Identity and Quantum Indeterminacy.E. J. Lowe - 1994 - Analysis 54 (2):110 - 114.
The Problem of de Re Modality.Kit Fine - 1989 - In John Perry, J. Almog & Howard K. Wettstein (eds.), Themes From Kaplan. Oxford University Press. pp. 197--272.
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Citations of this work BETA

Plural Slot Theory.T. Scott Dixon - 2018 - In Karen Bennett & Dean Zimmerman (eds.), Oxford Studies in Metaphysics Volume 11. Oxford: Oxford University Press. pp. 193-223.
Modeling Occurrences of Objects in Relations.Joop Leo - 2010 - Review of Symbolic Logic 3 (1):145-174.
The Identity of Argument-Places.Joop Leo - 2008 - Review of Symbolic Logic 1 (3):335-354.
Anti-Positionalism’s Regress.Jan Willem Wieland - 2010 - Axiomathes 20 (4):479-493.
Relational Complexes.Joop Leo - 2013 - Journal of Philosophical Logic 42 (2):357-390.

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