I approached the bulk of my schoolwork as a chore rather than an intellectual adventure. The tedium was relieved by a few courses that seem to be qualitatively different. Geometry was the first exciting course I remember. Instead of memorizing facts, we were asked to think in clear, logical steps. Beginning from a few intuitive postulates, far reaching consequences could be derived, and I took immediately to the sport of proving theorems.
Steven ChuSuppose you had a small electrical fire and... a structural engineer [looked] at your home's wiring [and] reports that the wiring is "shot" and there is a 50% chance that your house would burn down in the next few years unless you replace all the wiring. The job will cost $20,000... so you get an independent assessment. The next engineer agrees with the first warning. You can either continue to shop for additional evaluations until you find the one engineer in 1,000 that is willing to give you the answer you want, "Your family is not in danger" or you can change the wiring.
Steven Chu