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- The ideal engineer is a composite ... He is not a scientist, he is not a mathematician, he is not a sociologist or a writer; but he may use the knowledge and techniques of any or all of these disciplines in solving engineering problems.
- N. W. Dougherty, 1955
- Proof is the idol before whom the pure mathematician tortures himself.
- Sir Arthur Eddington (1882 - 1944), The Nature of the Physical World
- It is impossible to trap modern physics into predicting anything with perfect determinism because it deals with probabilities from the outset.
- Sir Arthur Eddington (1882 - 1944), In J. R. Newman (ed.) The World of Mathematics, New York: Simon and Schuster, 1956
- The mathematics is not there till we put it there.
- Sir Arthur Eddington (1882 - 1944), The Philosophy of Physical Science
- By keenly confronting the enigmas that surround us, and by considering and analysing the observations that I have made, I ended up in the domain of mathematics, Although I am absolutely without training in the exact sciences, I often seem to have more in common with mathematicians than with my fellow artists.
- M. C. Escher (1898 - 1972), Quoted in To Infinity and Beyond, E Maor (Princeton 1991)
- Mathematics is the queen of the sciences.
- Carl Friedrich Gauss (1777 - 1855), from Sartorius von Waltershausen, "Gauss zum Gedachtniss" [1856]
- Civilization advances by extending the number of important operations which we can perform without thinking about them.
- Alfred North Whitehead (1861 - 1947), Introduction to Mathematics (1911)
- If a `religion' is defined to be a system of ideas that contains unprovable statements, then Godel taught us that mathematics is not only a religion, it is the only religion that can prove itself to be one.
- John D. Barrow (1952 - ), (1735-1811)
- Every man who is not a monster, mathematician or a mad philosopher, is the slave of some woman or other.
- George Eliot (1819 - 1880), Scenes of Clerical Life - Amos Barton
- The sciences do not try to explain, they hardly even try to interpret, they mainly make models. By a model is meant a mathematical construct which, with the addition of certain verbal interpretations, describes observed phenomena. The justification of such a mathematical construct is solely and precisely that it is expected to work.
- Johann Von Neumann (1903 - 1957)
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