"Necessity is the mother of invention" is a silly proverb. "Necessity is the mother of futile dodges" is much nearer the truth.
Alfred Whitehead (1861 - 1947)
Source: W.H. Auden and L. Kronenberger The Viking Book of Aphorisms, New York: Viking Press, 1966.
Contributed by: Zaady
"One and one make two" assumes that the changes in the shift of circumstance are unimportant. But it is impossible for us to analyze this notion of unimportant change.
So far as the mere imparting of information is concerned, no university has had any justification for existence since the popularization of printing in the fifteenth century.
Source: The Aims of Education.
Mathematics as a science, commenced when first someone, probably a Greek, proved propositions about "any" things or about "some" things, without specifications of definite particular things.
We think in generalities, but we live in details.
No Roman ever died in contemplation over a geometrical diagram. A reference to the death of Archimedes.
Source: H. Eves Mathematical Circles Squared, Boston: Prindle, Weber and Schmidt, 1972.
By relieving the brain of all unnecessary work, a good notation sets it free to concentrate on more advanced problems, and, in effect, increases the mental power of the race.
Source: P. Davis and R. Hersh The Mathematical Experience, Boston: Birkhäuser, 1981.
Ideas won't keep; something must be done about them.
There is a tradition of opposition between adherents of induction and of deduction. In my view it would be just as sensible for the two ends of a worm to quarrel.
Source: N. Rose Mathematical Maxims and Minims, Raleigh NC:Rome Press Inc., 1988.
There is a technique, a knack, for thinking, just as there is for doing other things. You are not wholly at the mercy of your thoughts, any more than they are you. They are a machine you can learn to operate.
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