Categories

Ideals in Art and Mathematics: What gets us there?

Most of us begin drawings with lines. And even though those lines may not be in the subject of a rendering, they are nonetheless perceived. Some of the visual information we use to re-present our experience in a drawing is also used in mathematics, geometry in particular. A difficult question to answer but an interesting […]

Finding The Thought With The Words

I just heard Radiolab’s show on words (you can listen here). The show explores just how much of our experience is born of language. It begins with experiments which seem to reveal that until we can bridge islands of our experience with phrases, we can’t actually think. This may be a difficult argument to make […]

Moving The Mind’s Eyes

Advances in neurobiological research often demonstrate how very difficult it is for us to get a good look at ourselves. Effective analytic tools in the sciences usually rely on defined categories such as organic and inorganic; animals and plants; protons, neutrons and electrons; voluntary action versus involuntary action; motor skills versus thinking skills. But […]

Zeki, The Brain, and The Art of Abstraction

My introduction to Semir Zeki came in 1992 with a special issue of Scientific American called Mind And Brain. I still have the magazine with the lines I highlighted. I was excited when I read it. Something new was happening. Here are some of the passages I marked:

“The […]

Galileo’s Perspective

Our family lived in France for the last six months and at the end of that time we had the chance to visit family in Florence. Since we drove to Florence we could stop at Pisa along the way. I found Galileo all around me.

Dava Sobel’s book, Galileo’s Daughter, once drew me in and […]

Quoting Poincare

I hope to use this blog to find new things to see about mathematics. And this might even have some effect on how we see ourselves. I want to start with something Henri Poincare said. Poincare was an intellectual heavyweight, a mathematician, theoretical physicist, and philosopher. He was the last person to […]