Pretty much, yeah. If you assume the number will be somewhere “in the middle”, then pick any number to be in the middle of 0 and infinity, you’ll always find you can double the number and still not be at infinity, so eventually you have to conclude that the halfway point is also infinity.
That’s like the subsets of infinity which are also infinite? I’ve seen videos online that are really interesting to me but I’m no mathematician
Pretty much, yeah. If you assume the number will be somewhere “in the middle”, then pick any number to be in the middle of 0 and infinity, you’ll always find you can double the number and still not be at infinity, so eventually you have to conclude that the halfway point is also infinity.