I thought continuity provides an answer: 11:59:59.9999999999 is still AM. 12:00:00.0000000001 is clearly PM. When should the AM switch to PM? My intuition says at the same time that the 11 switches to a 12 (and all the 9's switch to 0's). Thus, noon is pm. Having said that, in reality the solution is banish the abominable 12 hour clock, and use the 24 hour clock. That also removes the ambiguity whether "Midnight on J…
Well, since 9.9999999... = 10 [0], then 50 + 9.999999... = 50 + 10 Given that, to you claim, 11:59.59.99999[...] is still AM, then 11:59:60 is still AM, thus 12:00:00 is still AM. [0] https://www.youtube.com/watch?v=SDtFBSjNmm0 /s
I'm arguing for switching the very moment the number of nines is infinite, or, in other words, they've turned into (an equally infinite number of) zeros.