I have the vagary of taking a lively interest in mathematical subjects only where I may anticipate ingenious association of ideas and… — Carl Friedrich Gauss Copy Share Image
I am giving this winter two courses of lectures to three students, of which one is only moderately prepared, the other less… — Carl Friedrich Gauss Copy Share Image
The bottom line for mathematicians is that the architecture has to be right. In all the mathematics that I did, the essential… — Freeman Dyson Copy Share Image
The mathematical education of the young physicist [Albert Einstein] was not very solid, which I am in a good position to evaluate… — Hermann Minkowski Copy Share Image
Probably no branch of mathematics has experienced a more surprising growth than has... topology... Considered as a most specialized and abstract subject… — Raymond Louis Wilder Copy Share Image
It is however pretty evident, on general principles, that in devising for mathematical truths a new form in which to record and… — Ada Lovelace Copy Share Image
The theory of ramification is one of pure colligation, for it takes no account of magnitude or position; geometrical lines are used,… — James Joseph Sylvester Copy Share Image
Most programming languages are decidedly inferior to mathematical notation and are little used as tools of thought in ways that would be… — Kenneth E. Iverson Copy Share Image
Mathematicians can and do fill in gaps, correct errors, and supply more detail and more careful scholarship when they are called on… — William Thurston Copy Share Image
Of the properties of mathematics, as a language, the most peculiar one is that by playing formal games with an input mathematical… — IU?. I. Manin Copy Share Image
I do not define time, space, place, and motion, as being well known to all. Only I must observe, that the common… — Isaac Newton Copy Share Image
Most people have some appreciation of mathematics, just as most people can enjoy a pleasant tune; and there are probably more people… — Anonymous Copy Share Image
During the last two centuries and a half, physical knowledge has been gradually made to rest upon a basis which it had… — Augustus De Morgan Copy Share Image
The material which a scientist actually has at his disposal, his laws, his experimental results, his mathematical techniques, his epistemological prejudices, his… — Paul Feyerabend Copy Share Image
One might think this means that imaginary numbers are just a mathematical game having nothing to do with the real world. From… — Stephen Hawking Copy Share Image
...to characterize the import of pure geometry, we might use the standard form of a movie-disclaimer: No portrayal of the characteristics of… — Carl Gustav Hempel Copy Share Image
It is a profoundly erroneous truism, repeated by all copy books and by eminent people when they are making speeches, that we… — Alfred North Whitehead Copy Share Image
Euclid manages to obtain a rigorous proof without ever dealing with infinity, by reducing the problem [of the infinitude of primes] to… — Lucio Russo Copy Share Image
Then suddenly, he was struck by a powerful but simple little truth, and it was this: that English grammar is governed by… — Roald Dahl Copy Share Image
What expressions we used - in part taken over and in part newly invented! above all, the famous 'wholly other' breaking in… — Karl Barth Copy Share Image
When I look out the window at my backyard, I can't think of anything interesting to ask. I mean, it's green, it's… — Lawrence Summers Copy Share Image
Music is part of Number Theory. Nowadays when a number-theorist applies for a grant, he says that it is good for security,… — Hendrik Lenstra Copy Share Image
... each of the 24 modes in the Ramanujan function corresponds to a physical vibration of a string. Whenever the string executes… — Michio Kaku Copy Share Image
Justice to others and to ourselves is the same; that we cannot define our duties by mathematical lines ruled by the square,… — Albert Pike Copy Share Image
...There is no study in the world which brings into more harmonious action all the faculties of the mind than [mathematics], ...… — James Joseph Sylvester Copy Share Image
Nothing has done more to render modern economic theory a sterile and irrelevant exercise in autoeroticism than its practitioners’ obsession with mathematical,… — Robert Higgs Copy Share Image
The provisions of the Constitution are not mathematical formulas having their essence in their form; they are organic, living institutions transplanted from… — Oliver Wendell Holmes, Jr Copy Share Image
“Mathematics was actually a logical puzzle with endless variations—riddles that could be solved. The trick was not to solve arithmetical problems. Five… — Stieg Larsson Copy Share Image
I was very much on the mathematical side, where you probably do your best work before you're forty-five. Having passed that significant… — John Polkinghorne Copy Share Image
In my experience most mathematicians are intellectually lazy and especially dislike reading experimental papers. He seemed to have very strong biological intuitions… — Francis Crick Copy Share Image
Why are we willing to accept a new mathematical formula we don't understand as the product of a brilliant mind, while rejecting… — Sydney J. Harris Copy Share Image
The extraordinary fact is that the first idea I had which motivated me, that worked, is conjecture, a mathematical idea which may… — Benoit Mandelbrot Copy Share Image
It is a pleasant surprise to him (the pure mathematician) and an added problem if he finds that the arts can use… — George Santayana Copy Share Image
In a way, math isn't the art of answering mathematical questions, it is the art of asking the right questions, the questions… — Gregory Chaitin Copy Share Image
I combat the errors of ages; I meet the violence of mobs; I cope with illegal proceedings from executive authority; I cut… — Joseph Smith, Jr Copy Share Image
I know this world is ruled by Infinite Intelligence. It required Infinite Intelligence to create it and it requires Infinite Intelligence to… — Thomas A. Edison Copy Share Image
We come now to the question: what is a priori certain or necessary, respectively in geometry (doctrine of space) or its foundations?… — Albert Einstein Copy Share Image
Mathematical science shows what is. It is the language of unseen relations between things. But to use and apply that language, we… — Ada Lovelace Copy Share Image
If you attack a mathematical problem directly, very often you come to a dead end, nothing you do seems to work and… — Michael Atiyah Copy Share Image
True technique will know how to maintain the illusion of liberty, choice, and individuality; but these will have been carefully calculated so… — Jacques Ellul Copy Share Image
![“The mathematical education of the young physicist [Albert Einstein] was not very solid, which I am in a good position to evaluate since he obtained it from me in Zurich some time ago.” quote by Hermann Minkowski](https://sms4smile.com/quotes/img-quotes/c88/hermann-minkowski-55458_education_the-mathematical-education-of-the-young_548481.jpg)
![“Probably no branch of mathematics has experienced a more surprising growth than has... topology... Considered as a most specialized and abstract subject in the early 1920's, it is today [1938] an indispensable equipment for the investigation of modern mathematical theories.” quote by Raymond Louis Wilder](https://sms4smile.com/quotes/img-quotes/f41/raymond-louis-wilder-82780_abstract_probably-no-branch-of-mathematics-has-ex_919488.jpg)
![“Euclid manages to obtain a rigorous proof without ever dealing with infinity, by reducing the problem [of the infinitude of primes] to the study of finite numbers. This is exactly what contemporary mathematical analysis does.” quote by Lucio Russo](https://sms4smile.com/quotes/img-quotes/66c/lucio-russo-43521_analysis_euclid-manages-to-obtain-a-rigorous-proo_2943863.jpg)
![“...There is no study in the world which brings into more harmonious action all the faculties of the mind than [mathematics], ... or, like this, seems to raise them, by successive steps of initiation, to higher and higher states of conscious intellectual being…” quote by James Joseph Sylvester](https://sms4smile.com/quotes/img-quotes/bc5/james-joseph-sylvester-23602_action_there-is-no-study-in-the-world-which-bri_23809.jpg)
