Beauty is More Important than Accuracy

I think that there is a moral to this story, namely that it is more important to have beauty in one's equations than to have them fit experiment. If Schroedinger had been more confident of his work, he could have published it some months earlier, and he could have published a more accurate equation .... It seems that if one is working from the point of view of getting beauty in one's equations, and if one has really a sound insight, one is on a sure line of progress. If there is not complete ...

 Language Requires a Common Frame of Experience

The greatest is obsolescence, the meaning of something evocative changing because the players’ reality has changed since the inspiration entered it. William Gibson’s ground-breaking cyberpunk novel Neuromancer begins, “The sky above the port was the color of television, tuned to a dead channel.” Supporting details make it clear that this is an industrial port at night, the sky gray from pollution and flecked with ash and other debris. But that was an image published in 1984. A decade...

 Mathematicians Who Can Only Generalize or Specialize

A mathematician who can only generalise is like a monkey who can only climb UP a tree. ... And a mathematician who can only specialise is like a monkey who can only climb DOWN a tree. In fact neither the up monkey nor the down monkey is a viable creature. A real monkey must find food and escape his enemies and so must be able to incessantly climb up and down. A real mathematician must be able to generalise and specialise. ... There is, I think, a moral for the teacher. A teacher of traditiona...