The mereology of structural universals

Logic and Logical Philosophy 25 (3):259-283 (2016)
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This paper explores the mereology of structural universals, using the structural richness of a non-classical mereology without unique fusions. The paper focuses on a problem posed by David Lewis, who using the example of methane, and assuming classical mereology, argues against any purely mereological theory of structural universals. The problem is that being a methane molecule would have to contain being a hydrogen atom four times over, but mereology does not have the concept of the same part occurring several times. This paper takes up the challenge by providing mereological analysis of three operations sufficient for a theory of structural universals: Reflexive binding, i.e. identifying two of the places of a universal; Existential binding, i.e. the language-independent correlate of an existential quantification; and Conjunction.



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Citations of this work

Mereology.Achille C. Varzi - 2016 - Stanford Encyclopedia of Philosophy.
Properties.Francesco Orilia & Michele Paolini Paoletti - 2020 - Stanford Encyclopedia of Philosophy.
Structural universals.A. R. J. Fisher - 2018 - Philosophy Compass 13 (10):e12518.
Operators Solve the Many Categories Problem with Universals.Peter Forrest - 2018 - International Journal of Philosophical Studies 26 (5):747-762.

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