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Mathematical logic, Set theory, Peano arithmetic, Model theory, Proof theory, Recursion theory, Computability theory, Univalent foundations, Reverse mathematics, Frege foundation of arithmetic, Goedel's incompleteness and Mathematics, Structural set theory, Category theory, Type theory.
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Why hasn't mereology succeeded as an alternative to set theory?
The most sophisticated philosophical treatment of the relation between set theory and mereology is David Lewis' book Parts of Classes. For each non-empty set S, Lewis views the singleton set of each m …