alt Hacker News> 1: Almost all numbers are transcendental.
Even crazier than that: almost all numbers cannot be defined with any finite expression.
> 1: Almost all numbers are transcendental.
Even crazier than that: almost all numbers cannot be defined with any finite expression.
Leads to really fun statements like "there exists a proof that all reals are equal to themselves" and "there does not exist a proof for every real number that it is equal to itself" (because `x=x`, for most real numbers, can't even be written down, there are more numbers than proofs).