Greg Ewing writes:
The limit of p = 1/n as n goes to infinity is zero. Events with zero probability can't happen. I don't know how it can be made more rigorous than that.
Sorry, as Steven pointed out, events *that are modeled as* having zero probability happen all the time. What you should not do with such events is give them positive (ie, atomic) weight in statistical calculations (= theory), and therefore you should not *predict* their occurance as individuals (unless you have no fear of becoming a laughingstock = practice).
Infinity: Just say no.
I thought your name was Ewing. Is it really Brouwer?<wink/> (Don't bother, I know. The reference to Brouwer is close enough for tsukkomi[1].) Footnotes: [1] https://en.wikipedia.org/wiki/Glossary_of_owarai_terms N.B. "Straight man" is not an accurate translation.