Brazil anon made an interesting point
>There are infinite rational numbers from 0 to 1. Would you say that it's statistically impossible not to have two number 0.5 between 0 and 1?
>Dumbass.

That is a very interesting question.
Why should it be that there is a number which is half way... What is the implication of having a number .5 vs only having numbers infinitely close to .5?
Can we create a number system where the halfway point between 0 and 1 is an irrational number? What does that look like?