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From Concrete Mathematics:
Incidentally, when we’re faced with a “prove or disprove,” we’re usually better off trying first to disprove with a counterexample, for two reasons: A disproof is potentially easier (we just need one counterexample); and nit-picking arouses our creative juices. Even if the given assertion is true, out search for a counterexample often leads us to a proof, as soon as we see why a counterexample is impossible. Besides, it’s healthy to be skeptical.
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