I love articles like this. Thanks for sharing. Ultimately math is just a language invented to describe the world. Which is what any language does. And it's a really useful language for sharing certain kinds of intelligence. I got into a discussion with my son last night about sine waves. Which don't really exist, per se, but they are a useful language construct for thinking about waves (especially sound waves as we were discussing). Shared intelligence like this is, as some have maintained, a major differentiator between humans and pre-humans. So the very fact we can argue about what is a number is part of what it is to be human.