Monday, May 25, 2009

Thinking about thinking and Mark Kac


When I was a young research engineer, I had the opportunity to work with Mark Kac during a summer. Kac was a very great mathematician, a Fields Prize winner. He had come to the lab in balmy southern California for a summer as a vacation from his post as a full professor of Mathematics at Rockefeller University. Two of my colleagues in the lab had been his graduate students in the past.

Professor Kac was a colorful man, and there were many stories of his totally logical approach to situations that seemed to defy logic. I might be able to add one.

On arrival he informed me and my colleagues that he had noticed over the years that he produced good mathematical results at a rate of four per year. Moreover, it didn't seem to matter whether he worked hard or not during that year. Therefore, the logical thing was not to work hard. Therefore he proposed to take it very easy for the next couple of months. In fact, he did so! However, in the final month of the summer he started working long hours, and indeed at the end of the summer published a major paper in a prestigious journal.

In retrospect, I wonder whether he had trained his subconscious mind to work while his conscious mind was taking a break. Perhaps in those first couple of months that summer while he appeared to be taking it easy and enjoying the southern California weather and sites, he was also mulling over a critical problem faced by our laboratory, and when he was ready to put thought to paper, that thought was mature and ready to crystalize and share.

In any case, that summer provided a rare opportunity for me to get to know a man with a really great intellect!

No comments: