Consequences of collapse

In Donald Baxter & Aaron Cotnoir (eds.), Composition as Identity. Oxford University Press. 211-221 (2014)
Abstract
"Composition as identity" is the radical claim that the whole is identical to the parts - radical because it implies that a single object can be identical to many objects. Composition as identity, together with auxiliary assumptions, implies the principle of "collapse": an object is one of some things if and only it is part of the fusion of those things. Collapse has important implications: the comprehension principle of plural logic must be restricted, plural definite descriptions such as "the Cheerios in the bowl" are empty, Composition as identity does not preclude emergent properties (contrary to what McDaniel has argued), and drastic simplifications of mereological and logical ideology are extensionally available.
Keywords mereology  composition as identity  identity  parthood  logic  plural quantification  comprehension  McDaniel  Baxter
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