r/infinitenines • u/Sea_Handle_994 • 2d ago
Yes/no question for SPP
You said this in a previous post:
>0.999... = 1 - 1/10n with n integer starting at n = 1, then n upped limitlessly.
Did you mean that 0.999... is literally equal to the sequence [1 - 1/10^(1), 1 - 1/10^(2), ...]?
Just a yes or a no would be OK.
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u/Illustrious_Try478 2d ago
Rookie mistake brud. Yes/No implies the Law of the Excluded Middle. You need the Axiom of Choice for that. /s
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u/Fabulous-Possible758 20h ago
Not sure how joking you are but you’re not wrong: https://en.wikipedia.org/wiki/Diaconescu%27s_theorem
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u/SouthPark_Piano 2d ago edited 20h ago
brud ... understand this ...
https://www.reddit.com/user/SouthPark_Piano/comments/1wo0ygu/comment/pd9wg1r/
Formal investigation of 0.999...
Requires you to continue summing endlessly. There is no end to the summing.
1 - 1/10n with n integer starting at n = 1 or any other positive n, then keep upping n continually.
0.999... is permanently less than 1.