Mathematics Quotations | Page 3

The self is the resultant of the interest of the genes.

Mathematics is the Life of the Gods.

The mathematical sciences wield their particular language made of digits and signs, no less subtle than any other.

[Adams] supposed that, except musicians, everyone thought Beethoven a bore, as every one except mathematicians thought mathematics a bore.

Geometry is the archetype of the beauty of the world.

I also ask you my friends not to condemn me entirely to the mill of mathematical calculations, and allow me time for philosophical speculations, my only pleasures.

Mathematics is the music of reason.

As the prerogative of Natural Science is to cultivate a taste for observation, so that of Mathematics is, almost from the starting point, to stimulate the faculty of invention.

Is my understanding only blindness to my own lack of understanding? It often seems so to me.

I Once wrote: "In mathematics process and result are equivalent."

All mathematics is tautology.

A mathematical proof must be perspicuous.

For every 10 students who start high school in Ohio, only seven will earn a diploma, only five will enroll is post-secondary institution and of those, fewer that three out of 10 will complete a bachelor's degree within 10 years, ... Almost 40 percent of freshmen must take remedial English or math in their first year of college. A high school diploma should mean that a student is prepared to succeed in college.

It is this way that in mathematics speculative theorems and practical canons are reduced by analysis to definitions, axioms and postulates.

It's not just simple math here. It's not just one for one.

A strong background in reading skills is the basis for all other disciplines, including mathematics and science,

It is really puzzling because we have grade-by-grade content standards in both reading and mathematics. But it appears that these are only paying off for mathematics. This really calls for a deeper exploration into why mathematics is doing so much better.

How long he takes and how good a job he does determines the profitability of his company. I have three years of graduate study in mathematics at MIT, and I couldn't do that job.

I write rhymes with addition and algebra, mental geometry.

I appreciate and enjoy mathematics and science and all that side of things. I definitely have that side of me even though I'm not by any means an expert, but I love reading about physics and math and that kind of stuff. I wish I knew more than I did. I mean, I read books written for laymen, not textbooks or anything.

That sometimes clear ... and sometimes vague stuff ... which is ... mathematics.

Mathematics in general is fundamentally the science of self-evident things.

In every department of physical science there is only so much science, properly so-called, as there is mathematics.

I assert that, in any particular natural science, one encounters genuine scientific substance only to the extent that mathematics is present.

Mathematics is the science of patterns, and nature exploits just about every pattern that there is.

Do mathematics have a relation to reality or are they only a mathematical symbol?

... mathematics is the science of skillful operations with concepts and rules invented just for this purpose.

The unreasonable efficiency of mathematics in science is a gift we neither understand nor deserve.

Music is a science which should have definite rules; these rules should be drawn from an evident principle; and this principle cannot really be known to us without the aid of mathematics.

Mathematics may be defined as the economy of counting. There is no problem in the whole of mathematics which cannot be solved by direct counting.

Mathemagical mathematics combines the beauty of mathematical structure with the entertainment value of a trick.

It will be another million years, at least, before we understand the primes.

The purpose of life is to conjecture and prove.

Every human activity, good or bad, except mathematics, must come to an end.

Mathematics is not yet ready for such problems.

A Mathematician is someone who can take a cup of coffee and turn it into a theory.

[P]ure mathematics is on the whole distinctly more useful than applied. For what is useful above all is technique, and mathematical technique is taught mainly through pure mathematics.

Mathematics is not a contemplative but a creative subject.

The public does not need to be convinced that there is something in mathematics.

As history proves abundantly, mathematical achievement, whatever its intrinsic worth, is the most enduring of all.

In [great mathematics] there is a very high degree of unexpectedness, combined with inevitability and economy.

The "seriousness" of a mathematical theorem lies, not in its practical consequences, which are usually negligible, but in the significance of the mathematical ideas which it connects.

This splendid subject [mathematics], queen of all exact sciences, and the ideal and norm of all careful thinking...

So-called professional mathematicians have, in their reliance on the relative incapacity of the rest of mankind, acquired for themselves a reputation for profundity very similar to the reputation for sanctity possessed by theologians.

The essence of mathematics lies precisely in its freedom.

The transfinite numbers are in a sense the new irrationalities [ ... they] stand or fall with the finite irrational numbers.

. . . She knew only that if she did or said thus-and-so, men would unerringly respond with the complimentary thus-and-so. It was like a mathematical formula and no more difficult, for mathematics was the one subject that had come easy to Scarlett in her schooldays.

No price is too high to pay to try to make the financial system go on a little bit longer. But ultimately it can't be saved, because of the mathematics that are involved.

Science advances one funeral at a time.

... a result once generally accepted by mathematicians is seldom retracted, and then only with great pangs. The Nature of Mathematics

Increasingly, the mathematics will demand the courage to face its implications.

All results of the profoundest mathematical investigation must ultimately be expressible in the simple form of properties of the integers.

Mathematics is written for mathematicians.

Mathemata mathematicis scribuntur Mathematics is written for mathematicians De Revolutionibus

The total subject of mathematics is clearly too broad for any of us. I do not think that any mathematician since Gauss has covered it uniformly and fully; even Hilbert did not and all of us are of considerably lesser width quite apart from the question of depth than Hilbert.

The emphasis on mathematical methods seems to be shifted more towards combinatorics and set theory - and away from the algorithm of differential equations which dominates mathematical physics.

Poetry is the mathematics of writing and closely kin to music.

Mathematics commands all my respect, but I have no use for engines.

Music is mathematics, the mathematics of listening, mathematics for the ears.

Do not imagine that mathematics is harsh and crabbed, and repulsive to common sense. It is merely the etherealisation of common sense.

Mathematics is the only true metaphysics.

The mathematics are such if you're going to compete in the Cup competition, there's a very significant upside, certainly if you're a consistent top player, to perform well just like you are within a tournament structure. So that is a dynamic, and the fact that the way the point structure for this series will be structured almost dictates if you're going to perform well, you've got to play every week.

The mathematics clearly demonstrate that we are still capable of winning both world championships, but of course it's going to be somewhat challenging.

The mathematics of rhythm are universal. They don't belong to any particular culture.

Mathematics was hard, dull work. Geography pleased me more. For dancing I was quite enthusiastic.

Tout ce qu'on invente est vrai, soi-en sure. La poesie est une chose aussi precise que la geometrie.

Mathematics without natural history is sterile, but natural history without mathematics is muddled.

Mathematics is so much easier than words mathematics makes things clear that words merely muddle and confuse and mess up.

I was so pleased to be at university to do physics and mathematics.

A mathematical point is the most indivisble and unique thing which art can present.

Before you generalize, formalize, and axiomatize there must be mathematical substance.

Our mathematics of the last few decades has wallowed in generalities and formalizations.

For mathematics, even to the logical forms in which it moves, is entirely dependent on the concept of natural number.

Physics without mathematics is meaningless.

All of mathematics is a tale about groups.

It is by logic that we prove, but by intuition that we discover. To know how to criticize is good, to know how to create is better.

One geometry cannot be more true than another; it can only be more convenient.

It is the simple hypotheses of which one must be most wary; because these are the ones that have the most chances of passing unnoticed.

How is error possible in mathematics?

Later generations will regard Mengenlehre (set theory) as a disease from which one has recovered.

If we wish to foresee the future of mathematics, our proper course is to study the history and present condition of the science.

Mathematics should be fun.

Computation involves going from a question to an answer. Mathematics involves going from an answer to a question.

The Torus is my enemy!

Mathematics is universal. It's discovered by human beings, but the rules of mathematics are the same throughout the universe and the laws of the universe.

Yet what are all such gaieties to me whose thoughts are full of indices and surds?

But I quite like the way you can talk about science without necessarily using mathematics, but using metaphors instead.

One could perhaps describe the situation by saying that God is a mathematician of a very high order, and He used very advanced mathematics in constructing the universe

A great deal of my work is just playing with equations and seeing what they give.

The economics profession went astray because economists, as a group, mistook beauty, clad in impressive-looking mathematics, for truth.

Why does mathematics describe nature. That's a deeper question than most.

The sky is where mathematics and magic become one.

Mathematics alone make us feel the limits of our intelligence. For we can always suppose in the case of an experiment that it is inexplicable because we don't happen to have all the data. In mathematics we have all the data and yet we don't understand. We always come back to the contemplation of our human wretchedness. What force is in relation to our will, the impenetrable opacity of mathematics is in relation to our intelligence.

This method of deduction ... is often called "combinatory". Its usefulness is not exhausted at this stage, but it does even at the outset lead to some valuable conclusions.

What cannot be known is more revealing than what can.

If things are nice there is probably a good reason why they are nice: and if you do not know at least one reason for this good fortune, then you still have work to do.

In mathematics we do not appeal to authority, but rather you are responsible for what you believe.

All science requires mathematics.

... mathematics is absolutely necessary and useful to the other sciences.

I have to admit that he was not bad at combinatorial analysis - a branch, however, that even then I considered to be dried up.