@mark noble,
I didn't know I had any students. I dropped out of school in the negative third grade. I went on to betray my Vulcan heritage.
Mathematics is beautiful. Why? Because if all language is abstraction (isn't it?), then mathematics is
precise abstraction. Grumple (forgive me the joke as I forgive yours) mistakes me for a number mystic or structure-drunk. Ah, Grumple, if only you knew what a relative skeptic I am. All concepts are contingent. I mean self, causality, objectivity, etc., etc. Yeah, I like to connect dots, but these dots are not stable. So I am writing on water. The only stable think is absolute concept. And what is that? What do all concepts have in common? They are and they are one. Existence and unification. The rest is flux. Thus ends my little indulgence.