Categories

Optimism

I began a post in 2013 by recognizing something that David Deutsch said in a TED talk in 2005. I have referred back to it many times since, and here I will do it again. But this time I would like to present it more completely. It’s a beautiful articulation of something that’s just […]

Ideals in the body politic

I have spent quite a bit of time, using much of the information provided in these posts, to argue that mathematics is in a unique position to show us that our thoughts (the silent language in our heads) that appear to be produced in the privacy of our imagination, have some independent reality. By […]

Individuals, Information, and the lenses of mathematics

First, I would like to apologize for neglecting Mathematics Rising in recent months. Changes to the classes I’ve been teaching at UT Dallas, (that were necessitated by Covid-19) consumed so much of my time that it became difficult for me to do much more than teach my classes and take care of my family. […]

Mathematics says, “here is a point of view.”

Category theory in mathematics is a relatively new and provocative branch of mathematics that has found many faithful followers and some critics. By relatively new I mean that category theory notions were first introduced only as far back as 1945. Criticism of the theory is often related to the level of abstraction it requires. […]