Comment on A number chosen truly at random will have infinite digits
panbroggi@feddit.it 7 months ago
I think it’s right
I also think that’s correct… if n ∈ ℝ.
n ∈ ℝ
People are probably thinking about n ∈ ℤ.
n ∈ ℤ
Yes real numbers, but as far as I’m aware it’ll happen for integers too almost surely
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.
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.
Crul@lemm.ee 7 months ago
I also think that’s correct… if
n ∈ ℝ.People are probably thinking about
n ∈ ℤ.HonoraryMancunian@lemmy.world 7 months ago
Yes real numbers, but as far as I’m aware it’ll happen for integers too almost surely
Crul@lemm.ee 7 months ago
I think you’re confusing “arbitrarily large” with “infinitely large”. See Wikipedia Arbitrarily large vs. (…) infinitely large
Crul@lemm.ee 7 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.