Yes, "half of all floating-point numbers are in the interval [-1,1]" but measures over real numbers and other continuous spaces are about as toxic as you can get<p><a href="https://en.wikipedia.org/wiki/Banach%E2%80%93Tarski_paradox" rel="nofollow">https://en.wikipedia.org/wiki/Banach%E2%80%93Tarski_paradox</a><p>In my mind the "real" numbers as described by Cantor ought to be called the phony numbers, whereas there is a lot more reality in the integers or the rationals in that every integer has a name.<p>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 or you could say there are as many reals in [-1, 1] as there are between [π, 2π].