It seems that there is some innate drive to mathematize things, categorize, etc. Is there some sort of romance of mathematics that drives scholars to wish to adapt mathematical-type arguments? Thinking that a single definition of a term like civilization is possible (FA doesn’t make this mistake) and that one can create categories that make some sort of sense is so depressing. It is the idea that taking on the mask of mathematics gives some legitimacy to an argument. Mathematicians would probably be the last to see a reason or basis for this approach.
David Harlan’s “The Degradation of American History” is another good book with a bunch of quotable quotes. For example “… social scientists like to imagine themselves a community of inquirers held together not only by a common grievance over parking but by a common set of research procedures.” It is always a definite thrill – OK, I am being sarcastic – to be involved in one of the wonderful debates over word usage and definition, etc. I think mathematicians find it particularly humorous, since math builds fromm a VERY small set of simple statements (called Peano’s Axioms) into the entire field of mathematics. Nothing is REAL in any sense of the word.
In 1940 G. . Hardy, one of the bright lights of early
20th century mathematics from
http://en.wikipedia.org/wiki/A_Mathematician%27s_Apology has a good summary. I think Hardy would have considered many of the attempts to “borrow” the beauty and stature of mathematics, as seen in many of the sociological works I read, and even some histories, to be vulgar. And I think it is downright silly. Language is so extremely imprecise that to think we can describe something as vague as civilization, or almost any other similar concept, precisely is fools play.
OK, rant over. And I
lied. Here is a little topical economics
for the class. Courtesy Dilbert, August 22, 2009