Comment by karmakurtisaani

> Spoken like a true formalist.

Doesn't seem to be a bad thing. There are some famous cranks who reject the concept of infinity, since I suppose they have problems wrapping their head around it.

> What fraction of people who "know" that there are more reals than natural numbers, do you think really understand that this is not an eternal verity of mathematics, but only a conclusion that follows from a particular set of rules that we're playing the mathematics game with?

People misunderstand mathematics all the time. It's ok, it's part of the journey.