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,...
Main Authors: | Hamkins, J, Kikuchi, M |
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Format: | Journal article |
Udgivet: |
Uniwersytet Mikołaja Kopernika w Toruniu
2016
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