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first-order and higher-order logic, model theory, set theory, proof theory, computability theory, formal languages, definability, interplay of syntax and semantics, constructive logic, intuitionism, philosophical logic, modal logic, completeness, Gödel incompleteness, decidability, undecidability, theories of truth, truth revision, consistency.
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Are there amenable groups without explicit Folner sets?
This is essentially a follow-up to this previous discussion on how, in the absence of choice, the "invariant mean" and "Folner set" characterizations of amenability are no longer equivalent. Recently …
6
votes
What are some reasonable-sounding statements that are independent of ZFC?
"There exists a complete metric space $(X,d)$ and a Borel probability measure $\mu$ on $X$ with non-separable support."
This has been discussed elsewhere on MO (I forget where, sorry), but is shown to …