4 ms·
> Infinity != Everything More precisely, infinite sets come in different sizes. For example, there are provably more real numbers than natural numbers even tho
by Reelin 6y ago
> Infinity != Everything
More precisely, infinite sets come in different sizes. For example, there are provably more real numbers than natural numbers even though both sets are infinitely large. (https://en.wikipedia.org/wiki/Aleph_number https://en.wikipedia.org/wiki/Aleph_number)
- drdeca 6y agoWhile true, I don’t think this is the distinction they are getting at. Rather, I think they are getting at the distinction between “infinitely many integers” and “all integers”, (Or possibly between “a set with infinite measure” vs “the entire measure space”).
- a1369209993 6y agoI think their point is more along the lines of "there are infinitely many (real or rational) numbers between zero and one, but none of them are equal to two".