Quotes About Mathematics

The process of rotating, stretching, and moving is called an affine transformation.

Period-doubling is a general principle of nature.

Today's scientists have substituted mathematics for experiments, and they wander off through equation after equation, and eventually build a structure which has no relation to reality.

Not every calculator integrate and differentiate.

To start with, the idea of "children," in the everyday sense of the term, learning "rigorous science and mathematics" is palpably absurd.'] In the course of history a few actual children have managed the trick-Pascal, Gauss, and Galois come to mind-but such talent is as rare as that of Mozart or Mendelssohn. Even Newton was unacquainted with rigorous science and mathematics before the age of twenty!

Since so many research conclusions depend on essentially mathematical ideas-the principles of statistical and probabilistic inference-and since even the best-trained physicians tend to have only a modest mathematical education, physicians end up taking many of these conclusions on faith.

My mathematics is helpless against the sea.

The most important use to which he had put his memory was that he had stuffed an unprecedented number of mathematical constants and equations into it. Most of us have very few mathematical constants in our mind, perhaps only the up-to-twelve-times multiplication table. Johnny had put in his mind layers and layers of algebraic verities. These were the explanation of his extraordinary powers of mental calculation.

The great virtues were that mathematics remained rigorously free from emotional content, free from ethical content, and free from political content. It allowed people to try to rise to the top by being reasoning scientists and scholars, instead of being bullying politicians or priests.

Science begins with the world we have to live in, accepting its data and trying to explain its laws. From there, it moves toward the imagination: it becomes a mental construct, a model of a possible way of interpreting experience. The further it goes in this direction, the more it tends to speak the languages of mathematics, which is really one of the languages of the imagination, along with literature and music.

Pure mathematics enters into and gives form to the physical sciences, and I have a notion that myths and images of literature also enter into and give form to all the structures we build out of world

Why, can you imagine what would happen if we named all the twos Henry or George or Robert or John or lots of other things? You'd have to say Robert plus John equals four, and if the four's name were Albert, things would be hopeless.

Archimedes, one of the greatest men of science there has ever been, and the father of physics.

Rejecting God's truth b/c of mankind's hypocrisy is like rejecting mathematical truth b/c mankind's incompetence.

He's probably quite good at mathematical calculations, but he doesn't seem to have ever handled accounts of money. Because we have always been poor,

I look upward ignorantly but reverently at the white host of heaven. Even the astronomer who peers through the magic glasses must go in peril of losing his mysterious awe in a tangle of mathematical calculations.

To Goethe again we owe the profound saying: "the mathematician is only complete insofar as he feels within himself the beauty of the true.

Von Goethe stammt auch das tiefe Wort, daß der Mathematiker nur insofern vollkommen sei, als er das Schöne des Wahren in sich empfinde.

To Goethe we owe the profound saying: 'The mathematician is only complete insofar as he feels within himself the beauty of the true'. Here we feel how nearly the secret of number is related to the secret of artistic creation. Mathematics, then, are an art. The development of the great arts ought never to be treated without an (assuredly not unprofitable) side-glance at contemporary mathematics.

Godel continued drawing conclusions beyond the point where Einstein stopped.

I imagine you working on me as an algebra problem, reducing me to fractions, crossing out common denominators, until there's nothing left on the page but a line that says x = whatever it is that is wrong with me.

Se puede dividir el infinito un número infinito de veces, y las partes resultantes seguirán siendo infinitamente grandes. Pero si divides un número no infinito un número infinito de veces, las partes resultantes son no infinitamente pequeñas. Como son no infinitamente pequeñas, pero hay un número infinito de ellas, si las sumas, obtienes una suma infinita. De lo que se desprende que, de hecho, cualquier número es infinito.

Amo las palabras por lo que son capaces de conseguir. Del mismo modo, no soy ningún aritmético. Los números que solo hablan de números me interesan muy poco.

You can divide infinity an infinite number of times, and the resulting pieces will still be infinitely large," Uresh said in his odd Lenatti accent. "But if you divide a non-infinite number an infinite number of times the resulting pieces are non-infinitely small. Since they are non-infinitely small, but there are an infinite number of them, if you add them back together, their sum is infinite. This implies any number is, in fact, infinite.