Abstract
Recently, more and more, I have been reminded of the importance of failure as a necessary ingredient in success. One reminder was the Michael Jordan commercial in which he says, “I've missed more than 9000 shots in my career. / I've lost almost 300 games. / 26 times I've been trusted to take the game-winning shot / and missed. / I've failed over and over and over again in my life. / And that is why / I succeed” (Zorn 1997). A New York Times article a couple of years ago included the following quote by a professor at New York University referring to a student of his, a young woman who had just become the first woman to win the prestigious Putnam Mathematical Competition, the “Olympics” of math competitions: “ ‘What really got me was her fearlessness,’ he said. ‘To be good at mathematics, you have to go right at it and start playing around with it, and she had that from the start’ ” (Arenson 1997).
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