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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.
2
votes
Using the multiverse approach to decide the law of the exluded middle?
I offer a different perspective on the question, which I hope will be found
useful.
One view of logic is strongly syntactic: develop a language, and develop
rules for manipulating this language and …
2
votes
Simple adjective for "of the size of a proper class"?
I nominate "too big".
Gerhard "Ask Me About System Design" Paseman, 2011.03.08
1
vote
Lower bounding the maximum size of sets in a set family with union promise
This problem has enough parameters to easily confuse. I will add some trivial cases to help motivate the problem, and encourage the poster to provide some more.
Of course, arranging that every set i …