Skip to main content

All Questions

Filter by
Sorted by
Tagged with
5 votes
2 answers
555 views

How "strong" is the existence of a non trivial ultrafilter on $\omega$?

Obviously the question in the title alone doesn't make sense so I'll develop on the context and then I'll ask my question : Studying $AD$ (axiom of determinacy) I had to prove that $AD$ and $AC$ are ...
Maxtimax's user avatar
  • 180
10 votes
0 answers
759 views

Full conditional probabilities and versions of AC?

A probability is a finitely additive measure on a boolean algebra with total measure $1$. A function $P:\scr B \times (\scr B - \{ 0 \})$ is a full conditional probability on $\scr B$ (for a boolean ...