> You could just as well say that "half of the reals are in the [-1, 1] range" in that you could say there is a 1:1 correspondence between x and 1/x That appli

> You could just as well say that "half of the reals are in the [-1, 1] range" in that you could say there is a 1:1 correspondence between x and 1/x That applies to the rationals, too, and for integers there’s the similar “there are as many odd integers as there are integers”. Infinities are weird, even the simplest one of aleph-zero.