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submitted 2 weeks ago* (last edited 2 weeks ago) by Melatonin@lemmy.dbzer0.com to c/asklemmy@lemmy.ml

How about ANY FINITE SEQUENCE AT ALL?

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[-] weker01@sh.itjust.works 2 points 2 weeks ago

Let me give another counterexample. Let x be the binary expansion of pi i.e. the infinite string representing pi in base 2.

Now you will not find 2 in this sequence by definition but it's still a non-repeating number.

Now one can validly say that we restricted our alphabet and we should look only for finite strings with digits that actually occure in the number. The answer is the string "23456789" concatenated with x.

[-] LodeMike@lemmy.today 1 points 2 weeks ago

That's like saying your car is busted because it can't drive on a road made of broken glass.

[-] weker01@sh.itjust.works 1 points 2 weeks ago* (last edited 2 weeks ago)

That's mathematics. It do be like that sometimes. Counterexamples can be stupid but still valid.

It's on you to prove your claims.

this post was submitted on 26 Dec 2024
233 points (98.3% liked)

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