I believe that mathematical reality lies outside of us, and that our function is to discover, or observe it, and that the theorems which we prove, and which we describe grandiloquently as our 'creations' are simply notes on our observations.
Saturday, 28 November 2009
Hardy's platonism
G. H. Hardy was a famous number theorist in Cambridge, and the mentor of Srinivasa Ramanujan. He wrote a short book called A Mathematician's Apology, explaining his view of mathematics. It is a rather cynical book, devoid of any 'romanticism' about the mathematical profession. Hardy was sceptical of religion, and probably of spirituality in general. Nevertheless, he was a fully-fledged Platonist:
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