# mathematics

## A Quote by R. L. Wilder on appreciation, contentment, day, environment, mathematics, perspective, and present

Mathematics was born and nurtured in a cultural environment. Without the perspective which the cultural background affords, a proper appreciation of the content and state of present-day mathematics is hardly possible.

Source: The American Mathematical Monthly, March 1994.

Contributed by: Zaady

## A Quote by R. L. Wilder on mathematics

There is nothing mysterious, as some have tried to maintain, about the applicability of mathematics. What we get by abstraction from something can be returned.

Source: Introduction to the Foundations of Mathematics.

Contributed by: Zaady

## A Quote by Plato on difficulty and mathematics

Mathematics is like checkers in being suitable for the young, not too difficult, amusing, and without peril to the state.

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## A Quote by Philip J. Davis on mathematics and theory

One of the endlessly alluring aspects of mathematics is that its thorniest paradoxes have a way of blooming into beautiful theories.

Source: Number, Scientific American, 211, (Sept. 1964), 51 - 59.

Contributed by: Zaady

## A Quote by Peter Hilton on mathematics and questions

Computation involves going from a question to an answer. Mathematics involves going from an answer to a question.

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## A Quote by Percy Williams Bridgman on inventions, mathematics, and observation

It is the merest truism, evident at once to unsophisticated observation, that mathematics is a human invention.

Source: The Logic of Modern Physics, New York, 1972.

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## A Quote by Pearl S. Buck on fatherhood, justice, language, life, mathematics, meaning, music, relationships, scientists, and understanding

No one really understood music unless he was a scientist, her father had declared, and not just a scientist, either, oh, no, only the real ones, the theoreticians, whose language was mathematics. She had not understood mathematics until he had explained to her that it was the symbolic language of relationships. "And relationships," he had told her, "contained the essential meaning of life."

Source: The Goddess Abides, Pt. I, 1972.

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## A Quote by Paul R. Halmos on errors, justice, mathematics, reason, and science

Mathematics is not a deductive science -- that's a cliche. When you try to prove a theorem, you don't just list the hypotheses, and then start to reason. What you do is trial and error, experimentation, guesswork.

Source: I Want to be a Mathematician, Washington: MAA Spectrum, 1985.

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## A Quote by Paul R. Halmos on mathematics

...the source of all great mathematics is the special case, the concrete example. It is frequent in mathematics that every instance of a concept of seemingly great generality is in essence the same as a small and concrete special case.

Source: I Want to be a Mathematician, Washington: MAA Spectrum, 1985.

Contributed by: Zaady

## A Quote by Paul R. Halmos on ability, driving, luck, mathematics, and talent

To be a scholar of mathematics you must be born with talent, insight, concentration, taste, luck, drive and the ability to visualize and guess.

Source: I Want to be a Mathematician, Washington: MAA Spectrum, 1985.

Contributed by: Zaady