Mathematical Quotes

The universe can best be pictured as consisting of pure thought, the thought of what for want of a better word we must describe as a mathematical thinker.

Innumeracy and pseudoscience are often associated, in part because of the ease with which mathematical certainty can be invoked, to bludgeon the innumerate into a dumb acquiescence.

A good mathematical joke is better, and better mathematics, than a dozen mediocre papers.

A mathematical proof must be perspicuous.

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

The analytical geometry of Descartes and the calculus of Newton and Leibniz have expanded into the marvelous mathematical method

Mathematical Reasoning is not only exact; it has its own criteria of reality.

There is coming an era for people with a mathematical state of mind

Under the federal reserve act, panics are scientifically created. The present panic is the first scientifically created one, worked out as we figured, a mathematical equation.

Never had any mathematical conversations with anybody, because there was nobody else in my field.

When the difficulty of a problem lies only in finding out what follows from certain fixed premises, mathematical methods furnish invaluable wings for flying over intermediate obstructions.

Mathematical objects are determined by - and understood by - the network of relationships they enjoy with all the other objects of their species.

He that gives a portion of his time and talent to the investigation of mathematical truth, will come to all other questions with a decided advantage over his opponents.

Love was even more mathematical than poetry. It was the pure mathematics of the spirit.

We must... maintain that mathematical geometry is not a science of space insofar as we understand by space a visual structure that can be filled with objects - it is a pure theory of manifolds.

A sane mind should not be guilty of a logical fallacy, yet there are very fine minds incapable of following mathematical demonstrations.

The mathematical difficulties of the theory of rotation arise chiefly from the want of geometrical illustrations and sensible images, by which we might fix the results of analysis in our minds.

A mathematical idea should not be petrified in a formalised axiomatic setting, but should be considered instead as flowing as a river.

And for mathematical science, he that doubts their certainty hath need of a dose of hellebore.

We often say that the earth is a sphere, but to be precise, the term sphere refers only to the surface. The correct mathematical term for the solid earth is a ball.

Mechanics is the paradise of the mathematical sciences because by means of it one comes to the fruits of mathematics.

The mathematical forms of order which the mind of a physicist manipulates coincides "miraculously" with experimental measurements.

The space you occupy and the authority you exercise may be measured with mathematical exactness by the service you render.

Mathemata mathematicis scribuntur Mathematics is written for mathematicians De Revolutionibus

It seems that jazz is more cerebral and more mathematical in a sense.

Then suddenly, he was struck by a powerful but simple little truth, and it was this: that English grammar is governed by rules that are almost mathematical in their strictness!

Vacuum stands and remains a mathematical space. A cube placed in a vacuum would not displace anything, as it would displace air or water in a space already containing those fluids.

One of the pleasures of looking at the world through mathematical eyes is that you can see certain patterns that would otherwise be hidden.

Geometry is the only science that it hath pleased God hitherto to bestow on mankind.

A mathematician believes that describing the speed of Mercury with equations amounts to science.

A mathematical equation stands forever.

Writing a novel is like trying to solve a very long mathematical equation. Changing anything can change everything else.

Ex-Professor Moriarty of mathematical celebrity... is the Napoleon of crime, Watson.

...while the individual man is an insoluble puzzle, in the aggregate he becomes a mathematical certainty.

Only mathematics and mathematical logic can say as little as the physicist means to say.

A mathematical proof is beautiful, but when you're finished, it's really only about one thing. A story can be about many things.

Homeric mind is ingenuity, practical intelligence. There is no Rodin-like deep thinking, no mathematical or philosophical speculation. Odysseus thinks with his hands.

Every new body of discovery is mathematical in form, because there is no other guidance we can have.

Has the mathematical abilities of a Clydesdale.

Die mathematische Forschung besteht aus 10% Intuition und 90% Arbeit.

Asked for a testimony to the effect that Emmy Noether was a great woman mathematician, he said: I can testify that she is a great mathematician, but that she is a woman, I cannot swear.

. . . we have overcome the notion that mathematical truths have an existence independent and apart from our own minds. It is even strange to us that such a notion could ever have existed.

It is my experience that proofs involving matrices can be shortened by 50% if one throws the matrices out.

If indeed, as Hilbert asserted, mathematics is a meaningless game played with meaningless marks on paper, the only mathematical experience to which we can refer is the making of marks on paper.

If a lunatic scribbles a jumble of mathematical symbols it does not follow that the writing means anything merely because to the inexpert eye it is indistinguishable from higher mathematics.

One factor that has remained constant through all the twists and turns of the history of physical science is the decisive importance of the mathematical imagination.

317 is a prime, not because we think so, or because our minds are shaped in one way rather than another, but because it is so, because mathematical reality is built that way.

[On the Gaussian curve, remarked to Poincaré:] Experimentalists think that it is a mathematical theorem while the mathematicians believe it to be an experimental fact.

All mathematical laws which we find in Nature are always suspect to me, in spite of their beauty. They give me no pleasure. They are merely auxiliaries. At close range it is all not true.

I realize that in this undertaking I place myself in a certain opposition to views widely held concerning the mathematical infinite and to opinions frequently defended on the nature of numbers.