6533b831fe1ef96bd1298e1f

RESEARCH PRODUCT

Composition as identity and plural Cantor's theorem

Einar Duenger Bohn

subject

Cantor's theoremPure mathematicsmedia_common.quotation_subject05 social sciencesMetaphysics06 humanities and the arts0603 philosophy ethics and religion050105 experimental psychologyEpistemologyPhilosophysymbols.namesakeArgumentIdentity (philosophy)060302 philosophysymbols0501 psychology and cognitive sciencesCantor's paradoxCantor's diagonal argumentmedia_commonMathematicsMereologyPlural

description

In this paper, I argue that the thesis of Composition as Identity blocks the plural version of Cantor’s Theorem, and that this in turn has implications for our use of Cantor’s theorem in metaphysics. As an example, I show how this result blocks a recent argument by Hawthorne and Uzquiano, and might be turned around to become an abductive argument for Composition as Identity

https://doi.org/10.12775/llp.2016.009