Grounding Megethology on Plural Arbitrary Reference

D.K. Lewis, in his “Mathematics is Megethology,” combines mereology with plural quantification to reconstruct set theory, creating a megethology with enough expressive power to explore hypotheses about the size of reality. This chapter presents a new approach to megethology based on the theory of plural arbitrary reference developed earlier in the book. Our approach demonstrates how megethology can be founded on plural arbitrary reference without relying on mereology.