Modeling relations

Journal of Philosophical Logic 37 (4):353 - 385 (2008)
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 10.2307/41217910
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References found in this work BETA
Kit Fine (2000). Neutral Relations. Philosophical Review 109 (1):1-33.
Timothy Williamson (1985). Converse Relations. Philosophical Review 94 (2):249-262.
Kit Fine (1989). The Problem of de Re Modality. In John Perry, J. Almog & Howard K. Wettstein (eds.), Themes From Kaplan. Oxford University Press 197--272.

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Citations of this work BETA
Joop Leo (2013). Relational Complexes. Journal of Philosophical Logic 42 (2):357-390.
Albert Visser (2012). A Tractarian Universe. Journal of Philosophical Logic 41 (3):519-545.

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