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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?

9409/ Let me quote their Abstract (from the 13'th draft) verbatim (my comments will be in square brackets): We develop a point-free construction of the classical continuum, with an interval based on mereology … If so, then the mereology of the Hellman-Shapiro variety will have done much to explain why there can exist such a plethora of continua, and how such can come to be. …
Thomas Benjamin's user avatar