The attempt to apply rational arithmetic to a problem in geometry resulted in the first crisis in the history of mathematics. The… — David van Dantzig Copy Share Image
It is my experience that proofs involving matrices can be shortened by 50% if one throws the matrices out. — Emil Artin Copy Share Image
In studying mathematics or simply using a mathematical principle, if we get the wrong answer in sort of algebraic equation, we do… — Eric Butterworth Copy Share Image
Nothing is more important than to see the sources of invention which are, in my opinion more interesting than the inventions themselves. — Gottfried Leibniz Copy Share Image
The propositions of mathematics have, therefore, the same unquestionable certainty which is typical of such propositions as "All bachelors are unmarried," but… — Carl Gustav Hempel Copy Share Image
The art of Navigation demonstrates how, by the shortest good way, by the aptest direction, and in the shortest time, a sufficient… — John Dee Copy Share Image
I have concluded that most PhD economists under appraise the power of the common-stock-based "wealth effect," under current extreme conditions... "Wealth effects"… — Charlie Munger Copy Share Image
Music rhythms are mathematical patterns. When you hear a song and your body starts moving with it, your body is doing math.… — Kareem Abdul-Jabbar Copy Share Image
The miracle of man is not how far he has sunk but how magnificently he has risen. We are known among the… — Robert Ardrey Copy Share Image
Those who are accustomed to judge by feeling do not understand the process of reasoning, because they want to comprehend at a… — Blaise Pascal Copy Share Image
Another characteristic of mathematical thought is that it can have no success where it cannot generalize. — Charles Sanders Peirce Copy Share Image
One cannot inquire into the foundations and nature of mathematics without delving into the question of the operations by which the mathematical… — L. E. J. Brouwer Copy Share Image
In mathematical analysis we call x the undetermined part of line a: the rest we don't call y, as we do in… — Georg C. Lichtenberg Copy Share Image
This is not what I thought physics was about when I started out: I learned that the idea is to explain nature… — Hans Christian von Baeyer Copy Share Image
There is no more common error than to assume that, because prolonged and accurate mathematical calculations have been made, the application of… — Alfred North Whitehead Copy Share Image
You know we all became mathematicians for the same reason: we were lazy. — Maxwell Rosenlicht Copy Share Image
Beyond the natural numbers, addition, multiplication, and mathematical induction are intuitively clear. — L. E. J. Brouwer Copy Share Image
…Our sunsets have been reduced to wavelengths and frequencies. The complexities of the universe have been shredded into mathematical equations. Even our… — Dan Brown Copy Share Image
It seems to me that all the evidence points to Apollonius as the founder of Greek mathematical astronomy. — Otto E. Neugebauer Copy Share Image
I received my undergraduate degree in engineering in 1939 and a Master of Science degree in mathematical physics in 1941 at Steven… — Frederick Reines Copy Share Image
One of the pleasures of looking at the world through mathematical eyes is that you can see certain patterns that would otherwise… — Steven Strogatz Copy Share Image
A sphere is made up of not one, but an infinite number of circles; women have diverse gifts, and to say that… — Maria Mitchell Copy Share Image
Well, for me, the real excitement of doing physical things in films, whether you're talking about a fight scene or a stunt… — Benjamin Bratt Copy Share Image
