Let's not lose the plot here. I was critiquing a piece called "Math Foundations from Scratch". It's a little hard to tell whether it was intended to be pedago

Let's not lose the plot here. I was critiquing a piece called "Math Foundations from Scratch". It's a little hard to tell whether it was intended to be pedagogical, targeted toward people who didn't already understand the foundations of math, or a sort of review or reference, targeted at those who did. But either way I think it fails, notwithstanding the fact that the specific flaw that I cited, a circular definition of the word "number", appeared in the context of a discussion of natural numbers. That's my opinion. I've explained at some length why I hold this opinion, but it's still just my opinion.