This morning, for no reason in particular, I decided to browse my copy of the classic qualmath textbook, Fundamentals of Qualitative Mathematics, and it proved surprisingly relevant:

The towering edifice of qualitative mathematics is constructed upon a pair of simple axioms. First: Everything is something divided by nothing. Second: Each thing is a zillionth of everything. From this axiomatic pair, the gazillion deformulae of qualitative mathematics are derived.

It feels almost as if this was written in response to what I was already thinking.