This is a tricky domain because, unlike simple arithmetic, to solve a calculus problem - and in particular to perform integration - you have to be smart about which integration technique should be used: integration by partial fractions, integration by parts, and so on.

General fiction is pretty much about ways that people get into problems and screw their lives up. Science fiction is about everything else.

Speed is what distinguishes intelligence. No bird discovers how to fly: evolution used a trillion bird-years to 'discover' that – where merely hundreds of person-years sufficed.

If we understood something just one way, we would not understand it at all.

Logic doesn't apply to the real world. D. R. Hofstadter and D. C. Dennett (eds.) The Mind's I, 1981.

Listening to music engages the previously acquired personal knowledge of the listener.

Each part of the mind sees only a little of what happens in some others, and that little is swiftly refined, reformulated and "represented." We like to believe that these fragments have meanings in themselves - apart from the great webs of structure from which they emerge - and indeed this illusion is valuable to us qua thinkers - but not to us as psychologists - because it leads us to think that expressible knowledge is the first thing to study.