A Paradox For Those Who Know Mathematics

Bri the Math Guy on What to Know for Real Analysis

If you know mathematics, you will be quite willing to deny that.

Some who know me think that I am good with mathematics. Apparently, I used to say quite frequently, when trying to explain something, "It is just math."

I suspect that a lot of those exposed to some advanced mathematics will disclaim knowledge of mathematics. We all have had the experience of taking a couple of hours of reading one or two pages of math and still not being sure of our understanding. Perhaps we read with paper and pen in hand - I am quite willing to cross things out, instead of erase - and work out each step. And still, after going through an entire proof, not being sure of the point.

Even after you have learned or been exposed to quite a bit, you may find that parts of mathematics whose very existence is surprising. For me, these parts still include model theory and alegbraic geometry.

Some cannot read a book if a single equation appears in it. I know that that is so, but I find hard to grasp. Some math books will say that the only prerequisite is mathematical maturity. And I do recall one teacher suggesting that, for our first go-through, we should read a chapter of our textbook like a novel. One thing I have not come across literature on is how authors of math books decide on the scope.

Anyways, to have a hope at learning some math, you must be willing to put time in, while feeling lost. But maybe I am generalizing too much from my own experience.

As I am writing up my example with absolute, extensive, and intensive rent, I want to NOT present a general model. I'd like to say just see Kurz & Salvadori (1995). But they do not have a general model combining intensive and extensive rent, as I understand it. Nor they have a general model with markup pricing.

So instead of doing math, I am writing about math.

Reference

• Lara Alcock. 2013. How to Study as a Mathematics Major. Oxford University Press