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

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 student is best taught who is told the least

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

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

The world is continuous, but the mind is discrete.

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.

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

This is not mathematics; this is theology.

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

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

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.

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

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.

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

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.

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.

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

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.

What cannot be known is more revealing than what can.

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 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.

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.

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

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.

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

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

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.

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.

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

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

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 are the mountain and the valley.

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

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

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

4.19. Dedekind's approach is a singular combination of Descartes' Cogito and the idea of the idea in Spinoza. The starting point is the very space of the Cogito, as 'closed' configuration of all possible thoughts, existential point of pure thought. It is claimed (but only the Cogito assures us of this) that something like the set of all my possible thoughts exists. From Spinoza's causal 'serialism' (regardless of whether or not he figured in Dedekind's historical sources) are taken both the existence of a parallelism' which allows us to identify simple ideas by way of their object (Spinoza says: through the body of which the idea is an idea), and the existence of a reflexive redoubling, which secures the existence of 'complex' ideas, whose object is no longer a body, but another idea. For Spinoza, as for Dedekind, this process of reflexive redoubling must go to infinity. An idea of an idea (or the thought of a thought of an object) is an idea. So there exists an idea of the idea of a body, and so on.

4.23..If 'thought' means: instance of the subject in a truth-procedure, then there is no thought of this thought, because it contains no knowledge.

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