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Atomic Mereology, Gunk Mereology, Mereology with Bottom, General Extensional Mereology, Mereology and Set Theory, Mereotopology, Boundaries, Grounding point free Geometry, Lewis's Mereology, philosophy of Mereology

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Why hasn't mereology succeeded as an alternative to set theory?

Mereology (at least in Leśniewski’s version — I’m not familiar with other versions) would make no distinction between a collection of sets and the union of those sets. … I think you can get somewhat closer to set theory by combining (as Leśniewski did) mereology with ontology, but even then I don’t think you get anywhere near ZF. …
Andreas Blass's user avatar