Originally Posted by
jutfrank
You have in mind two number lines side by side, and see that one is longer than the other, and so you conclude that one infinity is bigger than the other because each line has a finite length. In my opinion, all you're saying with this is something about how the human mind likes to make sense of abstract ideas. This handy 'trick' of viewing infinity as complete is also evident when mathematicians talk of 'infinite sets' and when they attempt to express infinity as a number. Philosophers, being much more sensible types, tend to think of infinity as incomplete (not least because it's a much more difficult and interesting view!). With this view, there are no 'bigger' or 'smaller' infinities because, by definition, there is no concept of