> 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.
> 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.
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?