Friday, August 29, 2008

A Mathematician's Apology

G H Hardy
I have never done anything 'useful'. No discovery of mine has made, or is likely to make, directly or indirectly, for good or ill, the least difference to the amenity of the world. I have helped to train other mathematicians, but mathematicians of the same kind as myself, and their work has been, so far at any rate as I have helped them to it, as useless as my own. Judged by all practical standards, the value of my mathematical life is nil; and outside mathematics it is trivial anyhow. I have just one chance of escaping a verdict of complete triviality, that I may be judged to have created something worth creating. And that I have created something is undeniable: the question is about its value.
The case for my life, then, or for that of any one else who has been a mathematician in the same sense in which I have been one, is this: that I have added something to knowledge, and helped others to add more; and that these somethings have a value which differs in degree only, and not in kind, from that of the creations of the great mathematicians, or of any of the other artists, great or small, who have left some kind of memorial behind them.
If you've ever talked with someone who is a genius to the point of distraction, reading A Mathematician's Apology will be a little familiar to you. Hardy is blunt and almost harsh in his theorizing about life and art. But his clarity is especially helpful since it is directed at something that doesn't generally get that much clarity at all: art. He provides a helpful and unique view into the argument about the purpose of art.

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