Professor Calculus Quotes

Tinkerers built America. Benjamin Franklin, Thomas Edison, Henry Ford, all were tinkerers in their childhood. Everything from the airplane to the computer started in somebody's garage. Go back even further: the Industrial Revolution was a revolution of tinkerers. The great scientific thinkers of eighteenth-century England couldn't have been less interested in cotton spinning and weaving. Why would you be? It was left to a bloke on the shop floor who happened to glance at a one-thread wheel that had toppled over and noticed that both the wheel and the spindle were still turning. So James Hargreaves invented the spinning jenny, and there followed other artful gins and mules and frames and looms, and Britain and the world were transformed. By tinkerers rather than thinkerers. "Technological change came from tinkerers," wrote Professor J.R. McNeill of Georgetown, "people with little or no scientific education but with plenty of hands-on experience." John Ratzenberger likes to paraphrase a Stanford University study: "Engineers who are great in physics and calculus but can't think in new ways about old objects are doomed to think in old ways about new objects." That's the lesson of the spinning jenny: an old object fell over and someone looked at it in a new way.

There they are, the professor and the prodigy, and what they prodigy clearly wants is to be engaged, at long last, with a mind that loves mathematics as much as he does. But he fails. In fact -- and this is the most heartbreaking part of all -- he manages to have an entire conversation with his calculus professor without ever communicating the one fact most likely to appeal to a calculus professor. The professor never realizes that Chris Langan is good at calculus.

My most absorbing interests at the present time are etymologies of ancient languages, the newer works on the calculus of variations, and Hindu history. It's amazing the way things, apparently disconnected, hang together. I've moved up to another plateau, and now the streams of the various disciplines seem to be closer to each other as if they flow from a single source. Strange how when I'm in the college cafeteria and hear the students arguing about history or politics or religion, it all seems so childish. I find no pleasure in discussing ideas any more on such an elementary level. People resent being shown that they don't approach the complexities of the problem they don't know what exists beyond the surface ripples. It's just as bad on a higher level, and I've given up any attempt to discuss these things with the professors at Beekman.

It is important to realize that ideas about infinity are not abstract scholastic thoughts that plague absentminded professors in the ivy-covered towers of academia. Rather, all of calculus is based on the modern notions of infinity mentioned in this chapter. Calculus, in turn, is the basis of all of the modern mathematics, physics, and engineering that make our advanced technological civilization possible. The reason the counterintuitive ideas of infinity are central to modern science is that they work. We cannot simply ignore them.