... The approach of von Neumann and Connes to the use of non-commutative algebra in physics is naive, the situation is much more complicated.

If you understand something, you understand that it is obvious.

One of the reasons we don't do as well as we should is that we are all over-taught.

Eugene Wigner wrote a famous essay on the unreasonable effectiveness of mathematics in natural sciences. He meant physics, of course. There is only one thing which is more unreasonable than the unreasonable effectiveness of mathematics in physics, and this is the unreasonable ineffectiveness of mathematics in biology.

I used to say: "Everything is Representation Theory". Now I say: "Nothing is Representation Theory".

My seminar is for highschool students, decent undergraduates, bright graduates, and outstanding professors.

... The approach of von Neumann and Connes to the use of non-commutative algebra in physics is naive, the situation is much more complicated.