Set-theoretic mereology

We consider a set-theoretic version of mereology based on the inclusion relation ⊆ and analyze how well it might serve as a foundation of mathematics. After establishing the non-definability of ∈ from ⊆, we identify the natural axioms for ⊆-based mereology, which constitute a finitely axiomatizable,...

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Bibliographic Details
Main Authors: Hamkins, J, Kikuchi, M
Format: Journal article
Published: Uniwersytet Mikołaja Kopernika w Toruniu 2016