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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

26 votes

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

It was proved by Tarski (in the 30's of the previous century) that Lesniewski's mereology determine structures which bear a very strong resemblance to complete Boolean algebras. … Every mereological structure can be transformed into complete Boolean lattice by adding zero element (its non-existence is a consequence of axioms for mereology). …
Rafał Gruszczyński's user avatar
10 votes

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

I hope it will shed some light on mereology and its relation to set theory. … (It is worth mentioning here as well that existence of atoms is independent from the axioms of the classical mereology.) …
Rafał Gruszczyński's user avatar