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"BEAUTY DOTH OF ITSELF PERSUADE": MATHEMATICAL BEAUTY AND THEORETICAL UNDERSTANDING
 
Michael Dickson
Department of Philosophy
University of South Carolina

 
March 30, 2005
Wednesday, 12:30pm-2:00pm
Sumwalt College, Room 102

 
In his dissertation, and later in his famous book on quantum theory, Dirac argued that the equation of motion in quantum theory was, given a few assumptions, mathematically the only possible one. Dirac seems to have been very impressed with the argument. However, it turns out to be fallacious, and I think it is likely that (eventually) Dirac knew, or suspected, it to be so. Why did he then continue to insist on its importance? I will suggest that the answer is that he felt it was beautiful, and that beauty was, in Dirac's view, sufficient reason to think that a piece of mathematical physics contributes in an important cognitive way to the development and understanding of science. Finally, I shall compare (rather, contrast) Dirac's view, which I more or less endorse, with some contemporary views about mathematical beauty and 'unreasonable effectiveness' that initially sound similar, notably those of Wigner and Steiner.
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