Today I learned:
Topology needs mereology needs topology and both need ontology.
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We have again reached a general conclusion concerning the interplay of ontology, mereology, and topology. And the conclusion is that each of these three dimensions must be carefully weighed. One needs mereology because topology is mereologically unsophisticated. One needs topology because mereology is topologically blind. And one must take ontology seriously because both topology and mereology are incapable of making sense of important categorial distinctions.
”
Parts and Places – The Structures of Spatial Representation
By Roberto Casati and Achille C. Varzi