Category Archives: Uncategorized

Math: the Greatest Story Ever Told

What exactly are mathematical objects like π and the unit circle? In what sense do they exist? In the last post I proposes neofictionalism, the idea that the mathematical universe is a collective fiction (like Lord of the Rings, Star … Continue reading

Posted in Uncategorized | Leave a comment

Where is π today? The nature of the mathematical universe.

Mathematicians discovered a new [whole] number. It’s between six and seven and is called “bleen”. -George Carlin When we’re talking about π, what are we talking about? What kind of object is it? A number, your text book will tell you. … Continue reading

Posted in Uncategorized | 1 Comment

One Day in the Greece

I’ve been to Greece often enough that I’ve picked up a bit of (modern) Greek. Like anyone in  my situation, I’ve had fun spotting Greek words with Englishs cognates based on Greek roots, popping up with unusual meanings in unusual contexts. … Continue reading

Posted in Uncategorized | Leave a comment

B before A

Remember this Wadge’s Law Whenever you want to do something, there’s always someone who says there’s something else you have to do first. Call  the thing you want to do A, the thing you’ve been told you have to do … Continue reading

Posted in Uncategorized | 1 Comment

Laws of the Universe and Teaching

Time for another break from research (at least the normal kind). I seem to be always discovering fundamental Laws of the Universe, especially about teaching. I’d like to share some of them with you.  They are each called “Wadge’s Law” … Continue reading

Posted in Uncategorized | 1 Comment

Fun with Power Series

Nothing says fun like formal power series! A formal power series is a (usually) infinite polynomial in x. For example 1 + x + x2 + x3 + x4 + … This is an expression, not a number. If we … Continue reading

Posted in Uncategorized | Leave a comment

Negative Time Iteration

Lucid is based on a simple temporal logic. The time model follows from formalizing iteration as it appears in imperative programs with, say, while or for loops. In this model there is a first or initial time point, and every … Continue reading

Posted in Uncategorized | Leave a comment