Cardinal Composition

Erkenntnis (forthcoming)
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Abstract

The thesis of Weak Unrestricted Composition says that every pair of objects has a fusion. This thesis has been argued by Contessa and Smith to be compatible with the world being junky and hence to evade an argument against the necessity of Strong Unrestricted Composition proposed by Bohn. However, neither Weak Unrestricted Composition alone nor the different variants of it that have been proposed in the literature can provide us with a satisfying answer to the special composition question, or so we will argue. We will then go on to explore an alternative family of purely mereological rules in the vicinity of Weak Unrestricted Composition, Cardinal Composition: A plurality of pairwise non-overlapping objects composes an object iff the objects in the plurality are of cardinality smaller than $$\kappa $$ κ. As we will show, all the instances for infinite $$\kappa $$ κ s determine fusion and are compatible with junk, and every instance for a $$\kappa > \aleph _0$$ κ > ℵ 0 is furthermore compatible with gunk and dense chains of parthood.

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Author Profiles

Jonas Werner
University of Bern
Lisa Vogt
Freie Universität Berlin

Citations of this work

On the Contingency of Universalism.Claudio Calosi - forthcoming - Erkenntnis:1-15.

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References found in this work

Material Beings.Peter Van Inwagen - 1990 - Cornell University Press.
Mereology.Achille C. Varzi - 2016 - Stanford Encyclopedia of Philosophy.
Four Dimensionalism: An Ontology of Persistence and Time.Theodore Sider - 2004 - Philosophy and Phenomenological Research 68 (3):642-647.
Material Beings.Peter Van Inwagen - 1990 - Philosophy 67 (259):126-127.

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