Explore Quotes on Mathematics

There are a multitude of allied branches of knowledge connected with mans condition; the relation of these to political economy is analogous to the connexion of mechanics, astronomy, optics, sound, heat, and every other branch more or less of physical science, with pure mathematics.

Euclid taught me that without assumptions there is no proof. Therefore, in any argument, examine the assumptions.

In real life, I assure you, there is no such thing as algebra.

An expert is someone who knows some of the worst mistakes that can be made in his subject and how to avoid them.

Mathematics, rightly viewed, possesses not only truth, but supreme beauty a beauty cold and austere, like that of sculpture, without appeal to any part of our weaker nature, without the georgeous trappings of painting or music, yet sublimely pure, and capable of a stern perfection such as only the greatest art can show. The true spirit of delight, the exaltation, the sense of being more than Man, which is the touchstone of the highest excellence, is to be found in mathematics as surely as in poetry.

I think it is a peculiarity of myself that I like to play about with equations, just looking for beautiful mathematical relations which maybe don't have any physical meaning at all. Sometimes they do._x000D__x000D_At age 60.

Mathematics is much more than a language for dealing with the physical world. It is a source of models and abstractions which will enable us to obtain amazing new insights into the way in which nature operates. Indeed, the beauty and elegance of the physical laws themselves are only apparent when expressed in the appropriate mathematical framework.

Can one think that because we are engineers, beauty does not preoccupy us or that we do not try to build beautiful, as well as solid and long lasting structures? Aren't the genuine functions of strength always in keeping with unwritten conditions of harmony? ... Besides, there is an attraction, a special charm in the colossal to which ordinary theories of art do not apply.

Every moment dies a man,_x000D__x000D_Every moment one is born.

As for everything else, so for a mathematical theory: beauty can be perceived but not explained.

The important thing to remember about mathematics is not to be frightened

An unsophisticated forecaster uses statistics as a drunken man uses lamp-posts - for support rather than for illumination.

To those who do not know mathematics it is difficult to get across a real feeling as to the beauty, the deepest beauty, of nature ... If you want to learn about nature, to appreciate nature, it is necessary to understand the language that she speaks in.

Education is indoctrination if you're white - subjugation if you're black.

The further on we go, the more meaning there is, but the less articulable. You live your life and the older you get- the more specifically you harvest- the more precious becomes every ounce and spasm. Your life and times don’t drain of meaning because they become more contradictory, ornamented by paradox, inexplicable. The less explicable, the more meaning. The less like a mathematics equation (a sum game); the more like music (significant secret).

Mathematics reveals its secrets only to those who approach it with pure love, for its own beauty.

Contrariwise, if it was so, it might be; and if it were so, it would be; but as it isn't, it ain't. That's logic.

Physicists have come to realize that mathematics, when used with sufficient care, is a proven pathway to truth.

Numbers written on restaurant bills within the confines of restaurants do not follow the same mathematical laws as numbers written on any other pieces of paper in any other parts of the Universe. This single fact took the scientific world by storm.

Science is what we understand well enough to explain to a computer. Art is everything else we do.

... it is impossible to explain honestly the beauties of the laws of nature in a way that people can feel, without their having some deep understanding of mathematics. I am sorry, but this seems to be the case.