Random Quotation

In the mathematics I can report no deficience, except that it be that men do not sufficiently understand the excellent use of the pure mathematics, in that they do remedy and cure many defects in the wit and faculties intellectual. For if the wit be too dull, they sharpen it; if too wandering, they fix it; if too inherent in the sense, they abstract it. So that as tennis is a game of no use in itself, but of great use in respect it maketh a quick eye and a body ready to put itself into all postures; so in the mathematics, that use which is collateral and intervenient is no less worthy than that which is principal and intended.

John Fauvel and Jeremy Gray (eds.) A History of Mathematics: A Reader, Sheridan House, 1987.

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# Loci: Convergence

## Mathematical Quotations

Our library of quotations is organized alphabetically by surname of the author.

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## Immanuel Kant (1724-1804)

All human knowledge thus begins with intuitions, proceeds thence to concepts, and ends with ideas.

## Immanuel Kant (1724-1804)

The science of mathematics presents the most brilliant example of how pure reason may successfully enlarge its domain without the aid of experience.

## Kaplan, Abraham

Mathematics is not yet capable of coping with the naivete of the mathematician himself.

## Irving Kaplansky

We [he and Halmos] share a philosophy about linear algebra: we think basis-free, we write basis-free, but when the chips are down we close the office door and compute with matrices like fury.

## Samuel Karlin (1924-2007)

The purpose of models is not to fit the data but to sharpen the questions.

## Kasner and Newman

The testament of science is so continually in a flux that the heresy of yesterday is the gospel of today and the fundamentalism of tomorrow.

## Kasner and Newman

Perhaps the greatest paradox of all is that there are paradoxes in mathematics.

## Kasner and Newman

When the mathematician says that such and such a proposition is true of one thing, it may be interesting, and it is surely safe. But when he tries to extend his proposition to everything, though it is much more interesting, it is also much more dangerous. In the transition from one to all, from the specific to the general, mathematics has made its greatest progress, and suffered its most serious setbacks, of which the logical paradoxes constitute the most important part. For, if mathematics is to advance securely and confidently it must first set its affairs in order at home.

## Kasner and Newman

Mathematics is often erroneously referred to as the science of common sense. Actually, it may transcend common sense and go beyond either imagination or intuition. It has become a very strange and perhaps frightening subject from the ordinary point of view, but anyone who penetrates into it will find a veritable fairyland, a fairyland which is strange, but makes sense, if not common sense.

## Kasner and Newman

Mathematics is the science which uses easy words for hard ideas.

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