Maths Physics, Physics Maths

“Mathematics is a part of physics. Physics is an experimental science, a part of natural science. Mathematics is the part of physics where experiments are cheap.

…

In the middle of the twentieth century it was attempted to divide physics and mathematics. The consequences turned out to be **catastrophic**. Whole generations of mathematicians grew up without knowing half of their science and, of course, in total ignorance of any other sciences. ”

— On teaching mathematics, by V.I. Arnold

2007.08.26, Sunday, CHK2