Cardinal Composition

Abstract The thesis of Weak Unrestricted Composition says that every pair objects has a fusion. This been argued by Contessa (Analysis 72(3):455–457, 2012) and Smith (Erkenntnis 84(1):41–55, 2019) to be compatible with the world being junky hence evade an argument against necessity Strong proposed Bohn 69(1):27–31, 2009a, Philos Q 59(235):193–201, 2009b). However, neither alone nor different variants it have in literature can provide us satisfying answer special composition question, or so we will argue. We then go on explore alternative family purely mereological rules vicinity , Cardinal : A plurality pairwise non-overlapping composes object iff are cardinality smaller than $$\kappa $$ κ . As show, all instances for infinite s determine fusion junk, instance > \aleph _0$$ > ℵ 0 is furthermore gunk dense chains parthood.