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 Feb 21 awarded Nice Answer Nov 17 awarded Nice Question Aug 30 awarded Popular Question Apr 16 accepted Natural numbers in set theory is {0,1,2,…}? Jan 25 awarded Yearling Dec 29 comment Natural numbers in set theory is {0,1,2,…}? $\mathbb{N}$ is defined as the intersection of all inductive sets. Dec 27 revised Natural numbers in set theory is {0,1,2,…}? added 383 characters in body Dec 23 asked Natural numbers in set theory is {0,1,2,…}? Aug 22 awarded Popular Question Aug 19 awarded Popular Question Jul 2 awarded Curious Dec 3 accepted Sample space of the Monty Hall problem Dec 2 asked Sample space of the Monty Hall problem Sep 13 comment Finding the mean and Std Dev from Geometric probability Just use the formula for P(X = x) in the formula for mean and std. deviation and simplify. Sep 13 comment a normed vector space is normed closed iff it is weakly closed. This question seems to have been posted before: math.stackexchange.com/questions/449301/… Aug 23 awarded Yearling Jun 30 accepted Finitely many non-convergent ultrafilters Jun 30 comment Finitely many non-convergent ultrafilters Thanks. As you can tell, my intuition of ultrafilters sucks. I find your explanation using $\beta X$ intuitive, except that I don't see how the neighborhoods in $\beta X$ relate back to the elements inside the ultrafilters. Jun 30 asked Finitely many non-convergent ultrafilters Jun 5 accepted Non-convergent ultrafilter on $[0,\infty)$