|
|
|
|
|
|
by gowld
367 days ago
|
|
|
It's even more extreme than that! Take the (uncountable) set of Real numbers. Remove the normal numbers, which is almost all of them in the sense that the probability that "a uniformly randomly chosen real number is normal (and therefore also undescribable)" is 1. The remaining set of numbers, which has measure 0 in the Real numbers, is still uncountable, meaning that the proability of randomly choosing a describable number in that set is again 0. I'm not sure how deep this chain can go. Google AI says "only 1 steps" but it's not admiting the case described in this comment. |
|
|