
If others would but reflect on mathematical truths as deeply and as continuously as I have, they would make my discoveries.

The more you know, the less sure you are.

Mathematics is the tool specially suited for dealing with abstract concepts of any kind and there is no limit to its power in this field.

I like to think of mathematicians as forming a nation of our own without distinctions of geographical origin, race, creed, sex, age or even time... all dedicated to the most beautiful of the arts and sciences.

There are three kinds of people: those who can count, and those who cannot.

Mathematics began to seem too much like puzzle solving.
Physics is puzzle solving, too, but of puzzles created by nature, not by the mind of man.

Mathematics rightly viewed possesses not only truth but supreme beauty.

Beauty is the first test: there is no permanent place in the world for ugly mathematics.

Neglect of mathematics work injury to all knowledge, since he who is ignorant of it cannot know the other sciences or things of this world. And what is worst, those who are thus ignorant are unable to perceive their own ignorance, and so do not seek a remedy.

The further a mathematical theory is developed, the more harmoniously and uniformly does its construction proceed, and unsuspected relations are disclosed between hitherto separated branches of the science.

...the source of all great mathematics is the special case, the concrete example. It is frequent in mathematics that every instance of a concept of seemingly generality is, in essence, the same as a small and concrete special case.

The Universal Zulu Nation stands to acknowledge wisdom, understanding, freedom, justice, and equality, peace, unity, love, and having fun, work, overcoming the negative through the positive, science, mathematics, faith, facts, and the wonders of God, whether we call him Allah, Jehovah, Yahweh, or Jah.

Mathematics is as much an aspect of culture as it is a collection of algorithms.

Sometimes a good idea comes to you when you are not looking for it.
Through an improbable combination of coincidence, naivete and lucky mistakes.

[All phenomena] are equally susceptible of being calculated, and all that is necessary, to reduce the whole of nature to laws similar to those which Newton discovered with the aid of the calculus, is to have a sufficient number of observations and a mathematics that is complex enough.

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

A mathematician, like a painter or a poet, is a maker of patterns.

Geometry is the science of correct reasoning on incorrect figures.

The theory of probability is the only mathematical tool available to help map the unknown and the uncontrollable. It is fortunate that this tool, while tricky, is extraordinarily powerful and convenient.

God does not care about our mathematical difficulties. He integrates empirically.

The discipline of economics has yet to get over its childish passion for mathematics and for purely theoretical and often highly ideological speculation, at the expense of historical research and collaboration with the other social sciences.

Medicine makes people ill, mathematics make them sad and theology makes them sinful.

There was a young fellow from Trinity, Who took the square root of infinity.
But the number of digits, Gave him the fidgets; He dropped Math and took up Divinity.

The glory of science is, that it is freeing the soul, breaking the mental manacles, getting the brain out of bondage, giving courage to thought, filling the world with mercy, justice, and joy.

Any teacher that can be replaced by a computer should be replaced by a computer.

Mathematics is not a deductive science  that's a cliché.
When you try to prove a theorem, you don't just list the hypotheses, and then start to reason. What you do is trial and error, experimentation, guesswork.

This therefore is Mathematics: She reminds you of the invisible forms of the soul; She gives life to her own discoveries; She awakens the mind and purifies the intellect; She brings light to our intrinsic ideas; She abolishes oblivion and ignorance which are ours by birth.

Strange as it may sound, the power of mathematics rests on its evasion of all unnecessary thought and on its wonderful saving of mental operations.

If there should chance to be any mathematicians who, ignorant in mathematics yet pretending to skill in that science, should dare, upon the authority of some passage of Scripture wrested to their purpose, to condemn and censure my hypothesis, I value them not, and scorn their inconsiderate judgement. De Revolutionibus Coelestibus

Being a language, mathematics may be used not only to inform but also, among other things, to seduce.

Mathematics is the queen of science, and arithmetic the queen of mathematics.

Theorems are fun especially when you are the prover, but then the pleasure fades. What keeps us going are the unsolved problems.

The Arab world is also the world that produced some of the greatest improvements in mathematics and in science. Even today, when a Princeton mathematician does an algorithm, he may not remember that "algorithm" derived from the name alKhwarizmi, who is a ninthcentury Arab mathematician.

Nothing has afforded me so convincing a proof of the unity of the Deity as these purely mental conceptions of numerical and mathematical science.

In mathematics and science, there is no difference in the intelligence of men and women. The difference in genes between men and women is simply the Y chromosome, which has nothing to do with intelligence.
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