Look On My Works

(for 3 Quarks Daily)

I have put off reading G.H. Hardy’s Mathematician’s Apology (1940)to the end for too long. Now that I have, I can say with conviction that if you ever find yourself needing to justify why people should learn at least some mathematics, then this is the text to avoid, and Hardy provides the arguments you should stay away from furthest. And yet, it grew on me as an honest presentation of Hardy’s perspective on why anything is worth doing.

Hardy doubted that composing his Apology was one of those things. In the first paragraph, he apologizes for it: writing about mathematics is the business of second-rate minds, unable to do innovative math themselves. He assures us that he is only embarking on it because past sixty, he is now too old to do the real thing. This sets the tone for an essay full of quick and haughty judgments. Compliments paid with authority to the greats, confident generalizations based on personal or historical anecdote, and a great deal of dismissive hand-waving towards people or things beneath Hardy’s attention. “Newton made a quite competent Master of the Mint”, Hardy knows; and on we go, to the next item of an enumeration illustrating that mathematicians past their prime rarely excel in anything else. In a footnote, he is generous enough to add: “Pascal seems the best.”

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