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math.LO2017★ 1 cited
The inclusion relations of the countable models of set theory are all isomorphic
Joel David Hamkins, Makoto Kikuchi
The structures arising as the inclusion relation of a countable model of sufficient set theory , whether well-founded or not,…
math.LO2016
Set-theoretic mereology
Joel David Hamkins, Makoto Kikuchi
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…