Surfaces and Essences: Analogy as the Fuel and Fire of Thinking (132 page)

BOOK: Surfaces and Essences: Analogy as the Fuel and Fire of Thinking
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Chapter 8

The books by Bartha, Changeux and Connes, Hesse, Fischbein, Lakoff and Núñez, Nersessian, Oppenheimer, Poincaré, and Polya, which cover the process of scientific discovery from epistemological, philosophical, or psychological points of view, are relevant to the chapter as a whole. Those by De Morgan, Dunham, Kasner and Newman, Leibniz, Sawyer, Stewart, Stillwell, Timmermans, and Ulam are rich resources concerning the evolution of ideas in mathematics. The books by Born, Holton (and Brush), Miller, Pais, Pullman, Segrè, Stehle, and Tomonaga are marvelous gems documenting the history of ideas in physics in general, while those by Einstein, Hoffmann, Holton (2000), Miller, Pais (1982), Rigden, and Stachel focus on the more specific story of Albert Einstein’s ideas. McAllister, Stewart, and Wechsler explore the role of esthetics in scientific discoveries, while Weiner recounts the ever-present role of analogies in the story of his own life as a physicist. The books by David and Mendel, Ulam, and Villani are all quoted in the closing section of the chapter.

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Leibniz, Gottfried Wilhelm von (1702). “Specimen novum analyseos pro scientia infiniti, circa summas & quadraturas”. Reprinted in 1858 by C. I. Gerhardt as
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