Graph theory, like lattice theory, is the whipping boy of mathematicians in need of concealing their feelings of insecurity.
Mathematicians also make terrible salesmen. Physicists can discover the same thing as a mathematician and say ‘We’ve discovered a great new law of nature. Give us a billion dollars.’ And if it doesn’t change the world, then they say, ‘There’s an even deeper thing. Give us another billion dollars.’
When an undergraduate asks me whether he or she should major in mathematics rather than in another field that I will simply call X, my answer is the following: “If you major in mathematics, you can switch to X anytime you want to, but not the other way around.”
Flakiness is nowadays creeping into the sciences like a virus through a computer system, and it may be the greatest present threat to our civilization. Mathematics can save the world from the invasion of the flakes by unmasking them, and by contributing some hard thinking. You and I know that mathematics, by definition, is not and never will be flaky.
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