ABSTRACT
The resulting organization of my thoughts on the subject was presented in my 1986 book Mathematics, Form, and Function, which aimed to examine some of the basic parts of undergraduate and firstyear graduate mathematics to see where they come from, how they fit together, what the relations are between them, and what this says about the possible philosophies of mathematics. I discussed geometry, transformations and groups, calculus, and linear algebra. There was
an extensive chapter on mechanics, followed by a chapter describing the wonderful structure of complex analysis, plus a chapter on categories, ending with a description of what I called the mathematical network. I described this network in terms of diagrams (graphs) connecting different topics. I ended with the claim that mathematics results are correct but not true.
