Monday, November 01, 2004

One and one

Via Foreword, a New York Times article on "What Makes an Equation Beautiful."
Mr. Harrison wrote: " '1 + 1 = 2' is the fairy tale of mathematics, the first equation I taught my son, the first expression of the miraculous power of the mind to change the real world. I remember my son holding up the index finger, the 'one finger,' of each hand as he learned the expression, and the moment of wonder, perhaps his first of true philosophical wonder, when he saw that the two fingers, separated by his whole body, could be joined in a single concept in his mind."

This makes me all warm and fuzzy in a curiously Kantian way. Who would think that a synthetic a priori judgment could sound so beautiful?