Best 579 quotes in «mathematics quotes» category

The science of mathematics performs more than it promises, but the science of metaphysics promises more than it performs.

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

The simple equations that generate the convoluted Mandelbrot fractal have been called the wittiest remarks ever made.

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.

The student is best taught who is told the least

The subtleties of mathematics defecate the grossness of our apprehension, and supply the elements of a sounder and severer logic.

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

The so-called mysteries of quantum mechanics are in its philosophical interpretation, not in its mathematics.

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

The very term 'combinatorial methods' has an oxymoronic character.

The standard model gives us an accuracy of ten decimal digits, this is an amazing success that has never been achieved before in science.

The world is continuous, but the mind is discrete.

This is not mathematics; this is theology.

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.

This book is about physics and its about physics and its relationship with mathematics and how they seem to be intimately related and to what extent can you explore this relationship and trust it.

This branch of mathematics [Probability] is the only one, I believe, in which good writers frequently get results which are entirely erroneous.

To be successful, you should concentrate on the world of companies, not arcane accounting mathematics.

Thought, then, is the execution of this computer code.

To many, mathematics is a collection of theorems. For me, mathematics is a collection of examples; a theorem is a statement about a collection of examples and the purpose of proving theorems is to classify and explain the examples.

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

To me, mathematics is like playing the violin. Some people can do it - others can't. If you don't have it, then there's no point in pretending.

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

To those who ask what the infinitely small quantity in mathematics is, we answer that it is actually zero. Hence there are not so many mysteries hidden in this concept as they are usually believed to be.

To speak algebraically, Mr. M. is execrable, but Mr. G. is (x + 1)- ecrable.

We can... treat only the geometrical aspects of mathematics and shall be satisfied in having shown that there is no problem of the truth of geometrical axioms and that no special geometrical visualization exists in mathematics.

We know that nature is described by the best of all possible mathematics because God created it. So there is a chance that the best of all possible mathematics will be created out of physicists' attempts to describe nature.

We know that nature is described by the best of all possible mathematics because God created it.

What affected me most profoundly was the realization that the sciences of cryptography and mathematics are very elegant, pure sciences. I found that the ends for which these pure sciences are used are less elegant.

We have heard much about the poetry of mathematics, but very little of it has yet been sung. The ancients had a juster notion of their poetic value than we.

What exactly is mathematics? Many have tried but nobody has really succeeded in defining mathematics; it is always something else.

What has philosophy got to do with measuring anything? It's the mathematicians you have to trust, and they measure the skies like we measure a field.

What cannot be known is more revealing than what can.

What mathematics are to matter and force, occult science is to life and consciousness.

We ourselves are co-called non-linear dynamical systems... I don't feel quite so pathetic when I interrupt a project to check on some obscure web site or newsgroup or derive an iota of cheer by getting rid of pocketful of change.

What Is Mathematics? This question, if asked in earnest, has no answer.

Wherefore in all great works are Clerks so much desired? Wherefore are Auditors so well-fed? What causeth Geometricians so highly to be enhaunsed? Why are Astronomers so greatly advanced? Because that by number such things they find, which else would farre excell mans minde.

When a branch of mathematics ceases to interest any but the specialists, it is very near its death, or at any rate dangerously close to a paralysis, from which it can be rescued only by being plunged back into the vivifying source of the science.

When I give this talk to a physics audience, I remove the quotes from my 'Theorem'.

Without computers we will be stuck only proving theorems that have short proofs.

Wherever Mathematics is mixed up with anything, which is outside its field, you will find attempts to demonstrate these merely conventional propositions a priori, and it will be your task to find out the false deduction in each case.

With randomness it is very unlikely to be embarrassed, but even if you get embarrassed, you can't replicate it.

You can not apply mathematics as long as words still becloud reality.

You know, I'm not terribly fast at my times tables, because that's not what I think mathematics is about.

You are the mountain and the valley.

Why do children dread mathematics? Because of the wrong approach. Because it is looked at as a subject.

You want to know how to rhyme, then learn how to add. It's mathematics.

99 percent of all statistics only tell 49 percent of the story.

A brick can be used to represent the zero probability of this book being any good.

Add Snow White and her seven dwarfs, 2 droids for Luke Skywalker, of course. 1 true ring to rule them all. A decimal is a place to stall. Snow White's gone, the dwarfs alone. This system your next clue has shown. Now you might ask, this little key, Just what does it mean for me? Hold on tight and you will see, Someday it will set clues free.

A distinguished writer [Siméon Denis Poisson] has thus stated the fundamental definitions of the science: 'The probability of an event is the reason we have to believe that it has taken place, or that it will take place.' 'The measure of the probability of an event is the ratio of the number of cases favourable to that event, to the total number of cases favourable or contrary, and all equally possible' (equally like to happen). From these definitions it follows that the word probability, in its mathematical acceptation, has reference to the state of our knowledge of the circumstances under which an event may happen or fail. With the degree of information which we possess concerning the circumstances of an event, the reason we have to think that it will occur, or, to use a single term, our expectation of it, will vary. Probability is expectation founded upon partial knowledge. A perfect acquaintance with all the circumstances affecting the occurrence of an event would change expectation into certainty, and leave neither room nor demand for a theory of probabilities.