Comment on A number chosen truly at random will have infinite digits

panbroggi@feddit.it ⁨11⁩ ⁨months⁩ ago

• Crul@lemm.ee ⁨11⁩ ⁨months⁩ ago

  I also think that’s correct… if n ∈ ℝ.

  People are probably thinking about n ∈ ℤ.

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  • HonoraryMancunian@lemmy.world ⁨11⁩ ⁨months⁩ ago

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

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    • Crul@lemm.ee ⁨11⁩ ⁨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.

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    • Crul@lemm.ee ⁨11⁩ ⁨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.

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