Yeah, you would think so (and I thought the same for a while). All the epsilon delta stuff seems to work fine with rationals. But really most theorems of calcul

Yeah, you would think so (and I thought the same for a while). All the epsilon delta stuff seems to work fine with rationals. But really most theorems of calculus (intermediate value thm, etc...) just are false, with very easy counter examples, as we see in the post.