Showerthoughts

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A "Showerthought" is a simple term used to describe the thoughts that pop into your head while you're doing everyday things like taking a shower, driving, or just daydreaming. The best ones are thoughts that many people can relate to and they find something funny or interesting in regular stuff.

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-20

A number chosen truly at random will have infinite digits (lemmy.world)

submitted 8 months ago by HonoraryMancunian@lemmy.world to c/showerthoughts@lemmy.world

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[–] panbroggi@feddit.it 6 points 8 months ago* (last edited 8 months ago) (1 children)

I think it's right

Edit:

TIL: when saying random numbers, some people think to integers, others to real numbers.

[–] Crul@lemm.ee 7 points 8 months ago* (last edited 8 months ago) (1 children)

I also think that's correct... if we are talking about real numbers.

People are probably thinking about integers. I'm not sure about OP.

EDIT: I think it also works with p-adic numbers.

[–] HonoraryMancunian@lemmy.world 3 points 8 months ago (2 children)

Yes real numbers, but as far as I'm aware it'll happen for integers too almost surely

[–] Crul@lemm.ee 4 points 8 months ago

I think you're confusing "arbitrarily large" with "infinitely large". See Wikipedia Arbitrarily large vs. (...) infinitely large

Furthermore, "arbitrarily large" also does not mean "infinitely large". For example, although prime numbers can be arbitrarily large, an infinitely large prime number does not exist—since all prime numbers (as well as all other integers) are finite.

[–] Crul@lemm.ee 2 points 8 months ago

For integers I disagree (but I'm not a mathematician). The set of integers with infinite digits is the empty set, so AFAIK, it has probability 0.