Most numbers are uncomputable too lol can't even tell you the first digit of 'em. There's functions that we can't represent at all like the irrational indicator function, no idea what it looks like and its not possible to know. Lots of functions like that in function space
Okay, I knew pi isn't normal, but I assumed there were some other numbers that were (like e or something).
But apparently all the known normal numbers are dumb bullshit people constructed just to demonstrate that there are normal numbers?
And yet most of the reals are normal??
And yet we still can't find any of them???
Math sure gets weird sometimes.
Yes, this state of affairs is called "finding hay in a haystack" and we're pretty bad at it.
"if it weren't for all of this damn hay I might actually be able to find the fucking hay!"
Most numbers are uncomputable too lol can't even tell you the first digit of 'em. There's functions that we can't represent at all like the irrational indicator function, no idea what it looks like and its not possible to know. Lots of functions like that in function space
That one is less weird to me honestly. Not such a surprise that we can't find the numbers whose whole thing is not being findable.