Hacker News Reader

I guess, but, the set is not even countably infinite. "Selecting at random" is something that happens in the real, non-infinite world, not in the mathematically rigorous would where infinities can exist. So, no, probability-zero events do not happen in either.

View on HN

Not necessarily - you might just come up with a number you know is in the set, say pi/4. I know it's in the set because it satisfies the conditions that define it. Still, the odds of that particular number being picked up are zero.

If you picked that, you did not pick uniformly from the unit interval. You picked from something else, which was much smaller.

Reply on news.ycombinator.com