You can't disprove a statistical assertion with a single counterexample. Kudos to Jeanne Bamberger, but she's not, by herself, statistically significant.

I'm not saying that your conclusions are wrong, but "one of my best professors was a woman" is a very weak argument.

The original assertion (All the best chefs are men, best professors I know are men too) is unprovable, because none of us are xentronium and the professor part of his assertion was based on personal experience ("I know").

However, the first part of his statement (I firmly believe there are three areas women should not generally be part of: military, cooking and teaching) can be argued against quite effectively by showing a single counter example.

xentronium needs to either argue the counter example (ie, argue that Jeanne Bamberger is not a good teacher), or narrow down his argument (eg, argue that only women who's first name starts with "J" make good teachers). Both lines of response weaken his argument considerably.