[alexashka]

> If you choose a random point on the line, the probability of choosing a rational is zero.

Wat?

If a thing is in my pocket, there's an above zero probability of me picking it when I randomly take a thing out of my pocket.

What are math people doing that's different?

[BalinKing]

> If a thing is in my pocket, there's an above zero probability of me picking it when I randomly take a thing out of my pocket.

This is only true if there are only a finite number of things in your pocket, though… I think an analogy is how we always have 1/n>0 for any finite (positive) number n—and yet, 1/infinity=0.

For something more precise, I think the corresponding Wikipedia page (FWIW) is https://en.wikipedia.org/wiki/Almost_never.

[josephcsible]

> Do math people not feel the need to explain themselves when they state things that defy common sense everyone except math people agree upon? Is that part of thinking you're 'smart'?

It's a pretty basic thing covered in undergrad prob/stats classes. We don't re-explain it every time we use it for the same reason computer scientists don't re-explain the halting problem every time it comes up.

[wat10000]

They’re working with infinity. Your pocket is not infinite. Numbers are.