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submitted 6 days ago* (last edited 6 days ago) by Melatonin@lemmy.dbzer0.com to c/asklemmy@lemmy.ml

How about ANY FINITE SEQUENCE AT ALL?

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[-] SwordInStone@lemmy.world 77 points 5 days ago* (last edited 5 days ago)

No, the fact that a number is infinite and non-repeating doesn't mean that and since in order to disprove something you need only one example here it is: 0.1101001000100001000001... this is a number that goes 1 and then x times 0 with x incrementing. It is infinite and non-repeating, yet doesn't contain a single 2.

[-] Azzu@lemm.ee 1 points 5 days ago

But didn't you just give a counterexample with an infinite number? OP only said something about finite numbers.

[-] Strobelt@lemmy.world 19 points 5 days ago* (last edited 5 days ago)

They were showing that another Infinite repeating sequence 0.1010010001... is infinite and non-repeating (like pi) but doesn't contain all finite numbers

[-] Azzu@lemm.ee 7 points 5 days ago

You mean infinite and non- repeating?

[-] Strobelt@lemmy.world 2 points 5 days ago

This! Fixed it. Thanks!

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this post was submitted on 26 Dec 2024
234 points (98.8% liked)

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