Cardinal Composition

Erkenntnis (forthcoming)
Download Edit this record How to cite View on PhilPapers
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.
Keywords
No keywords specified (fix it)
Categories
(categorize this paper)
PhilPapers/Archive ID
VOGCC-2
Upload history
Archival date: 2022-08-04
View other versions
Added to PP index
2022-07-30

Total views
30 ( #68,715 of 71,405 )

Recent downloads (6 months)
30 ( #28,113 of 71,405 )

How can I increase my downloads?

Downloads since first upload
This graph includes both downloads from PhilArchive and clicks on external links on PhilPapers.