La Nave, Federica (Author)
Harvard University
Murdoch, John Emery
Edition Details: Advisor: Murdoch, John E.
Physical Details: 168 pp.
Language: English
This dissertation focuses on what makes a mathematician believe provable an unproved proposition. My claim is that understanding this kind of belief requires the concepts of intuition and approximation. I define these two concepts, and then show their relation to the beliefs of mathematicians by studying two historical questions: the solutions or attempted solutions to the three famous problems of ancient Greek antiquity (squaring the circle, trisecting the angle, doubling the cube); and Rafael Bombelli, a Renaissance mathematician, and his coming to believe in a new kind of number.
...MoreDescription Looks at problems and attempted solutions in mathematics in ancient Greece and in the work of the Renaissance mathematician Rafael Bombelli. Cited in Diss. Abstr. Int. A 66/05 (2005): 1931. UMI pub. no. 3173957.
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