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forcing, large cardinals, descriptive set theory, infinite combinatorics, cardinal characteristics, forcing axioms, ultrapowers, measures, reflection, pcf theory, models of set theory, axioms of set theory, independence, axiom of choice, continuum hypothesis, determinacy, Borel equivalence relations, Boolean-valued models, embeddings, orders, relations, transfinite recursion, set theory as a foundation of mathematics, the philosophy of set theory.
10
votes
The logic of Buddha: a formal approach
The 2015 World Congress on Logic and Religion -- which mentions the Bilimoria paper -- also lists a talk "The Logical Nature of the Nalanda Tradition of Buddhism" by Razvan Diaconescu of
Simion Stoilo …
7
votes
History of (proposal of) set-theoretic foundations
Not a complete answer, but maybe relevant.
Russell, in Introduction to Mathematical Philosophy (1919) simply states the Peano axioms are the foundations of math without much discussion.
Having reduce …