The Substitution of Similars, The True Principles of Reasoning (1869)
Context: Aristotle's dictim... may then be formulated somewhat as follows:—Whatever is known of a term may be stated of its equal or equivalent. Or, in other words, Whatever is true of a thing is true of its like.... the value of the formula must be judged by its results;... it not only brings into harmony all the branches of logical doctrine, but... unites them in close analogy to the corresponding parts of mathematical method. All acts of mathematical reasoning may... be considered but as applications of a corresponding axiom of quantity...
“A good deal of my research work in physics has consisted in not setting out to solve some particular problems, but simply examining mathematical quantities of a kind that physicists use and trying to get them together in an interesting way regardless of any application that the work may have. It is simply a search for pretty mathematics. It may turn out later that the work does have an application. Then one has had good luck.”
P.A.M. Dirac, "Pretty Mathematics," International Journal of Theoretical Physics, Vol. 21, Issue 8–9, August 1982, p. 603 http://link.springer.com/article/10.1007/BF02650229#page-1
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Paul Dirac 23
theoretical physicist 1902–1984Related quotes
Preface (March 30, 1807)
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Conclusion in BBC's The Story of Maths, episode 4
Selected Papers of Freeman Dyson with Commentary. https://books.google.com/books?id=nnyNUidX1OMC&pg=PA1 American Mathematical Soc. (1996) p. 1
George Forsythe (1958) cited in: Computers and people Vol 23. (1974). p. 11 Pagina 11