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. A showerthought should offer a unique perspective on an ordinary part of life.

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

submitted 1 year ago by [email protected] to c/[email protected]

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[–] [email protected] 6 points 1 year ago* (last edited 1 year ago) (1 children)

I think it's right

Edit:

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

[–] [email protected] 7 points 1 year ago* (last edited 1 year 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.

[–] [email protected] 3 points 1 year ago (2 children)

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

[–] [email protected] 4 points 1 year 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.

[–] [email protected] 2 points 1 year 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.