A Quote by John William Strutt

Examples ... which might be multiplied ad libitum, show how difficult it often is for an experimenter to interpret his results without the aid of mathematics.

John William Strutt

Quote Topics

Ad Aid Difficult Examples His How Interpret Mathematics Might Often Often Is Results Show Which Without

Quote Author

John William Strutt
English - Physicist
November 12, 1842 - June 30, 1919

Combinatorial analysis, in the trivial sense of manipulating binomial and multinomial coefficients, and formally expanding powers of infinite series by applications ad libitum and ad nauseamque of the multinomial theorem, represented the best that academic mathematics could do in the Germany of the late 18th century.

Richard Askey

If science is to progress, what we need is the ability to experiment, honesty in reporting results—the results must be reported without somebody saying what they would like the results to have been—and finally—an important thing—the intelligence to interpret the results.

Richard P. Feynman

To many, mathematics is a collection of theorems. For me, mathematics is a collection of examples; a theorem is a statement about a collection of examples and the purpose of proving theorems is to classify and explain the examples.

John B. Conway

Mystery is an inescapable ingredient of mathematics. Mathematics is full of unanswered questions, which far outnumber known theorems and results. It's the nature of mathematics to pose more problems than it can solve. Indeed, mathematics itself may be built on small islands of truth comprising the pieces of mathematics that can be validated by relatively short proofs. All else is speculation.

Ivars Peterson

It is necessary to look at the results of observation objectively, because you, the experimenter, might like one result better than another.

Richard P. Feynman

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

Immanuel Kant

These examples of the lack of simplicity in English and French, all appearances to the contrary, could be multiplied almost without limit and apply to all national languages.

Edward Sapir

I believe you can never fail in life or love. You just produce results. It's up to you how you interpret those results.

Karen Salmansohn

Nothing of real worth can be obtained without courageous working. Man owes his growth chiefly to the active striving of the will, that encounter with difficulty which he calls effort; and it is astonishing to find how often results apparently impracticable are then made possible.

Samuel Smiles

There are many examples in high schools which show something about the effects such competition might have.

James S. Coleman

But there is another reason for the high repute of mathematics: it is mathematics that offers the exact natural sciences a certain measure of security which, without mathematics, they could not attain.

Albert Einstein

One cannot inquire into the foundations and nature of mathematics without delving into the question of the operations by which the mathematical activity of the mind is conducted. If one failed to take that into account, then one would be left studying only the language in which mathematics is represented rather than the essence of mathematics.

L. E. J. Brouwer

He that alone would wise and mighty be,Commands that others love as well as he.Love as he lov'd! - How can we soar so high?-He can add wings when he commands to fly.Nor should we be with this command dismay'd;He that examples gives will give his aid:For he took flesh, that where his precepts fall,His practice, as a pattern, may prevail.

Edmund Waller

MacGyver of course, that's probably my favorite show of all time, because it was a guy who was so, so smart and could use his wits, and his technical know-how could get him out of any situation. There's something about the adventurer aspect of that show that I loved, that he went on all these great missions and saved people without having to use guns or anything like that. And I think that show might even be coming back, too.

Rhys Darby

In abstract mathematics, of course operations alter those particular relations which are involved in the considerations of number and space, and the results of operations are those peculiar results which correspond to the nature of the subjects of operation.