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Dec 17, 2010 at 7:23 comment added Andrés E. Caicedo This result is typically used as follows: Any non-principal ultrafilter on a set $X$ is countably complete. Else, we can easily produce from it a non-principal ultrafilter on $\omega$.
Dec 17, 2010 at 7:19 history answered Andrés E. Caicedo CC BY-SA 2.5