I'm sure that some of them will be very hard and I'll have a sense of achievement again, but nothing will mean… — Andrew Wiles Copy Share Image
“We are not told, or not told early enough so that it sinks in, that mathematics is a language, and that we… — Mortimer J. Adler Copy Share Image
The page of my notebook was filled with many messy integrals, but all of a sudden I saw emerge a formula for… — Lee Smolin Copy Share Image
So long as mathematicians can impose up-and-down semantics upon students while trafficking personally in the non-up-and-down advantages of their concise statements, they… — R. Buckminster Fuller Copy Share Image
For all the time schools devote to the teaching of mathematics, very little (if any) is spent trying to convey just what… — Keith Devlin Copy Share Image
The mere man of pleasure is miserable in old age, and the mere drudge in business is but little better, whereas, natural… — Thomas Paine Copy Share Image
Do not talk to me of Archimedes' lever. He was an absent-minded person with a mathematical imagination. Mathematics commands my respect, but… — Joseph Conrad Copy Share Image
There is a slam-dunk case for extending foreign language teaching to children aged five. Just as some people have taken a perverse… — Michael Gove Copy Share Image
Some mathematics problems look simple, and you try them for a year or so, and then you try them for a hundred… — Andrew Wiles Copy Share Image
After two years of undergraduate study, it was clear that I was bored by the regime of problem-solving required by the Cambridge… — Philip Kitcher Copy Share Image
Pickover's lively, provocative travel guide takes readers into the fascinating realm of mystic math, from perfectly strange numbers to fractured geometries and… — Ivars Peterson Copy Share Image
With the computer and programming languages, mathematics has newly-acquired tools, and its notation should be reviewed in the light of them. The… — Kenneth E. Iverson Copy Share Image
This is a rather unusual situation in physics. We perform approximate calculations which are valid only in some regime and this gives… — Nathan Seiberg Copy Share Image
The regular division of the plane into congruent figures evoking an association in the observer with a familiar natural object is one… — M. C. Escher Copy Share Image
As we speak of poetical beauty, so ought we to speak of mathematical beauty and medical beauty. But we do not do… — Blaise Pascal Copy Share Image
Cell and tissue, shell and bone, leaf and flower, are so many portions of matter, and it is in obedience to the… — D'Arcy Wentworth Thompson Copy Share Image
Standard mathematics has recently been rendered obsolete by the discovery that for years we have been writing the numeral five backward. This… — Woody Allen Copy Share Image
Combinatorial analysis, in the trivial sense of manipulating binomial and multinomial coefficients, and formally expanding powers of infinite series by applications ad… — Richard Askey Copy Share Image
If present trends continue, our country may soon find itself far behind many other nations in both science and technology nations where,… — Martin Gardner Copy Share Image
For hundreds of pages the closely-reasoned arguments unroll, axioms and theorems interlock. And what remains with us in the end? A general… — Michael Frayn Copy Share Image
[T]he 47th proposition in Euclid might now be voted down with as much ease as any proposition in politics; and therefore if… — Sydney Smith Copy Share Image
Why learn a number like pi to so many decimal places? The answer I gave then as I do now is that… — Daniel Tammet Copy Share Image
“Mathematics works only with computationally reducible systems. Axioms and deductive logic are intended to provide shortcuts, to give general results that can… — Richard Bookstaber Copy Share Image
“Always preoccupied with his profound researches, the great Newton showed in the ordinary-affairs of life an absence of mind which has become… — Camille Flammarion Copy Share Image
“Civilization advances by extending the number of important operations which we can perform without thinking about them. —Alfred North Whitehead, An Introduction… — Robert Wachter Copy Share Image
When I was in Cambridge reading mathematics, I went to Amsterdam for the International Mathematics Congress. There I saw M.C. Escher's fascinating… — Roger Penrose Copy Share Image
It is the facts that matter, not the proofs. Physics can progress without the proofs, but we can't go on without the… — Richard P. Feynman Copy Share Image
... we should not be disappointed that everyday language does not work any longer at the apex of our little theory. It… — Alexandre Borovik Copy Share Image
...the mathematician uses an indirect definition of congruence, making use of the fact that the axiom of parallels together with an additional… — Hans Reichenbach Copy Share Image
People think they don’t understand math, but it’s all about how you explain it to them. If you ask a drunkard what… — Israel Gelfand Copy Share Image
I chose to be a maths teacher because I thought the marking would be easy. You'd just tick and cross, whereas if… — Romesh Ranganathan Copy Share Image
I was always told that I was good in mathematics, and I guess my grades and standardized test scores supported that. My… — Henry Petroski Copy Share Image
“Why did math matter so much? Some reasons were practical: More and more jobs required familiarity with probability, statistics, and geometry. The… — Amanda Ripley Copy Share Image
A chess problem is genuine mathematics, but it is in some way "trivial" mathematics. However, ingenious and intricate, however original and surprising… — G. H. Hardy Copy Share Image
“Tengo's lectures took on uncommon warmth, and the students found themselves swept up in his eloquence. He taught them how to practically… — Haruki Murakami Copy Share Image
When I was in fifth grade, there were many girls who were good at math, but when I was in junior high… — Judith Love Cohen Copy Share Image
Now that practical skills have developed enough to provide adequately for material needs, one of these sciences which are not devoted to… — Aristotle Copy Share Image
The math you need for most of finance is ninth-grade algebra, and most people feel reasonably comfortable with that. But I think… — Sal Khan Copy Share Image
Mathematics is much more than a language for dealing with the physical world. It is a source of models and abstractions which… — Melvin Schwartz Copy Share Image
“Well, three reasons. First, because I've been thinking about our Theorem and I have a question. How does it work if you're… — John Green Copy Share Image
![“[T]he 47th proposition in Euclid might now be voted down with as much ease as any proposition in politics; and therefore if Lord Hawkesbury hates the abstract truths of science as much as he hates concrete truth in human affairs, now is his time for getting rid of the multiplication table, and…” quote by Sydney Smith](https://sms4smile.com/quotes/img-quotes/709/sydney-smith-6523_abstract_t-he-47th-proposition-in-euclid-might-no_463551.jpg)
![“Now that practical skills have developed enough to provide adequately for material needs, one of these sciences which are not devoted to utilitarian ends [mathematics] has been able to arise in Egypt, the priestly caste there having the leisure necessary for disinterested research.” quote by Aristotle](https://sms4smile.com/quotes/img-quotes/2ee/aristotle-78_able_now-that-practical-skills-have-developed_114834.jpg)
