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Since Pi is infinite and non-repeating, would that mean any finite sequence of non-repeating numbers should appear somewhere in Pi? (lemmy.dbzer0.com)

submitted 3 days ago* (last edited 3 days ago) by Melatonin@lemmy.dbzer0.com to c/asklemmy@lemmy.ml

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How about ANY FINITE SEQUENCE AT ALL?

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[–] stevedice@sh.itjust.works 3 points 2 days ago* (last edited 2 days ago)

Since Pi is infinite and non-repeating, would that mean any finite sequence of non-repeating digits from 0-9 should appear somewhere in Pi in base 10?

Does any possible string of infinite non-repeating digits contain every possible finite sequence of non repeating digits?

Let's abstract this.

S = an arbitrary string of numbers

X = is infinite

Y = is non-repeating

Z = contains every possible sequence of finite digits

Now your statements become:

Since S is X and Y, does that mean that it's also Z?

Does any S that is X and Y, also Z?"