Proof that there is morw irrationals than integers.
Suppose you did make a list (assume it is only the irrationals from 0-1). Lets give the first numbers on the list,
4:0.0000000000000000000000000...(After one trillion digits, there is a one)
I can create a number that in not on the list.
The first digit is 0
The next is the first number's 10s on the list +1. (If it is 9, make it a 0.)
The next is the second number's 100s on the list +1.
Then, it continues.
The number is not on the list.
How about the 383rd number?
It can't be since the number's 383rd digit is different from t…