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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 …
Gerhard Paseman's user avatar
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
Gerhard Paseman's user avatar
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 …
Gerhard Paseman's user avatar