Monday, January 17, 2005

Harvard behind its president

Update: I wonder whether you will agree that this (the first is audio) description of the differences between men and women is fair and insightful:

If you need a woman to tell you that most experts believe that biology plays at least as important role as socialization in these issues, see

The original text follows: Sean Carroll from The Preposterous Universe at University of Chicago has kind of complained about a certain event - I would rather call it a non-event - at Harvard University.

His remark was based on the following article in the Boston Globe, also imported by The Times, The New York Times, CNN, The Guardian, BBC, The Independent, Foxnews, USA today, Washington Post, and as well as all other media you know: they apparently have nothing more important to write about:

I want to assure my readers that everything is fine at Harvard! For example, unlike our friends in Illinois, we were celebrating the Martin Luther King Day today. ;-) Also, most of us endorse our president, Lawrence Summers, and we're typically very happy that the school is led by a mainstream, but also an independent and rational thinker. Most of the people who attended the conference were fine with Summers' reasoning, and it is just an illusion if someone thinks that his reasoning was too controversial.



As a Czech person, I find the reaction of some people particularly bizarre because in the Czech Republic, the people who would find Prof. Summers' reasoning controversial virtually don't exist - neither on the left wing, nor on the right wing. In Central Europe, you won't find too many people who think that the girls in average like math, physics, computers, and engineering as much as the boys. When democracy was being re-introduced into the former Eastern bloc, many of us were saying that the difference between the U.S. and Czechoslovakia is that in Czechoslovakia, we had the freedom of speech, while in the U.S., you also had the freedom after speech. ;-) Given the reaction of some people, maybe the difference was not too dramatic...



Incidentally, Summers' speech was not problematic for most Americans either - just look at the polls in various web newspapers. Also, some participants of that economic conference, such as Prof. Claudia Goldin and others, remained very rational and appreciated inspiring ideas.



I also know enough to guarantee that our president would never discriminate against the women or against the men - or against any minority or majority, for that matter. The reason why I am so sure about it is that I've heard his opinions in a relatively private environment of a party (see below) where the people are much more open than during their speeches at conferences. The President's web page with his statement is here:

Incidentally, we have many outstanding female senior colleagues over here. Sean, be sure that Prof. Summers treats women just like men, and vice versa. Unlike many hypocritical people who talk about the equal rights of women but who always buy just dolls to their daughters, Prof. Summers also bought toy trucks, for example. :-) This comment from the Boston Globe may sound as a funny episode, but I think that it actually shows that our president is very serious about the equal rights and opportunities for both genders. And it's not just about words.



When the daughter called the trucks "baby truck" and "daddy truck", different people may draw different conclusions. My conclusions based on this observation - but also many other, more detailed observations - are probably much closer to those of Prof. Summers' rather than those of Sean Carroll's, but no one has ever had any problems at Harvard for making different conclusions - since the origin of various behavioral differences and correlations remains largely an open question.



Actually, I still have not evaluated a simple integral. During a party for the new faculty who met with Prof. Summers a month+ ago, I've made many silly comments - for example I mentioned some statistics (who knows where I got them from) indicating that the average distance of the birthplaces of the husband and his wife in the U.S. is 400 miles or how much exactly it was. Prof. Summers asked what is the average distance if the distribution for both the husband and the wife is uniform over a disk of radius R. Well, the average distance is obviously R times a numerical constant as Prof. Summers remarked immediately - but I will have to calculate this constant. Summers' estimate was 1. ;-)



If you can integrate it quickly, the required integral (for R=1), derived in the polar coordinates, is:

  • [ int (0,1,r) r int (0,1,s) s int (0,2.pi,f) sqrt(r^2+s^2-2.r.s.cos(f)) ] / [ int (0,1,r) r int (0,1,s) s int (0,2.pi,f) ]
My Mathematica has some problems with the fonts, so I can't really evaluate it. Well, I tried it in the library (Apple), and it either leads to some elliptic integrals, or to very slow triple numerical integrals. Can someone calculate it? ;-)