Watt's Myth

Myth, then, is the form in which I try to answer when children ask me those fundamental metaphysical questions which come so readily to their minds: 'Where did the world come from?' 'Why did God make the world?' 'Where was I before I was born?' 'Where do people go when they die?' Again and again I have found that they seem to be satisfied with a simple and very ancient story, which goes something like this: 'There was never a time when the world began, because it goes round and round like a ...

 There are "Levels" to Understanding Mathematics

The way it was described to me when I was in high school was in terms of 'levels'. Sometimes, in your mathematics career, you find that your slow progress, and careful accumulation of tools and ideas, has suddenly allowed you to do a bunch of new things that you couldn't possibly do before. Even though you were learning things that were useless by themselves, when they've all become second nature, a whole new world of possibility appears. You have "leveled up", if you will. Something clicks,...