A Quote by Augustus De Morgan

The moving power of mathematical invention is not reasoning but imagination.

Augustus De Morgan

Quote Topics

Imagination Invention Mathematical Moving Power Reasoning

Quote Author

Augustus De Morgan
British - Mathematician
June 27, 1806 - March 18, 1871

Nature seems to take advantage of the simple mathematical representations of the symmetry laws. When one pauses to consider the elegance and the beautiful perfection of the mathematical reasoning involved and contrast it with the complex and far-reaching physical consequences, a deep sense of respect for the power of the symmetry laws never fails to develop.

Chen-Ning Yang

You call a star a star, and say it is just a ball of matter moving on a mathematical course. But that is merely how you see it. By so naming things and describing them you are only inventing your own terms about them. And just as speech is invention about objects and ideas, so myth is invention about truth.

Humphrey Carpenter

Imagination is more robust in proportion as reasoning power is weak.

Giambattista Vico

The Reader may here observe the Force of Numbers, which can be successfully applied, even to those things, which one would imagine are subject to no Rules. There are very few things which we know, which are not capable of being reduc'd to a Mathematical Reasoning, and when they cannot, it's a sign our Knowledge of them is very small and confus'd; and where a mathematical reasoning can be had, it's as great folly to make use of any other, as to grope for a thing in the dark when you have a Candle standing by you.

John Arbuthnot

I've always felt that what I have going for me is not my imagination, because everyone has an imagination. What I have is a relentlessly controlled imagination. What looks like wild invention is actually quite carefully calculated.

Terry Pratchett

Genius is not a single power, but a combination of great powers. It reasons, but it is not reasoning; it judges, but it is not judgment; imagines, but it is not imagination; it feels deeply and fiercely, but it is not passion. It is neither, because it is all.

Edwin Percy Whipple

Mathematical reasoning may be regarded.

Alan Turing

The power of imagination is the ultimate creative power.. no doubt about that. While knowledge defines all we currently know and understand.. imagination points to all we might yet discover and create. Imagination is more important than knowledge. Your imagination is your preview of life's coming attractions

Albert Einstein

We have a duty towards music; namely to invent it. ...Invention presupposes imagination but should not be confused with it. For the act of invention implies the necessity of a lucky find and of achieving realization of this find. What we imagine does not necessarily take on concrete form and may remain in a state of virtuality; whereas invention is not conceivable apart from its actually being worked out.

Igor Stravinsky

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

Paul Feyerabend

The artist's imagination may wander far from nature. But as long as it is a living, moving power in his brain, isn't it just as real as any other natural phenomenon? The artist justifies his existence only when he can transform his imagination into truth.

Bill Vaughan

To do any important work in physics a very good mathematical ability and aptitude are required. Some work in applications can be done without this, but it will not be very inspired. If you must satisfy your "personal curiosity concerning the mysteries of nature" what will happen if these mysteries turn out to be laws expressed in mathematical terms (as they do turn out to be)? You cannot understand the physical world in any deep or satisfying way without using mathematical reasoning with facility.

Richard P. Feynman

Want of imagination makes things unreal enough to be destroyed. By imagination I mean knowledge and love. I mean compassion. People of power kill children, the old send the young to die, because they have no imagination. They have power. Can you have power and imagination at the same time? Can you kill people you don’t know and have compassion for them at the same time?

Wendell Berry

Only in men's imagination does every truth find an effective and undeniable existence. Imagination, not invention, is the supreme master of art as of life.

Joseph Conrad

The Mathematics are Friends to Religion, inasmuch as they charm the Passions, restrain the Impetuosity of the Imagination, and purge the Mind from Error and Prejudice. Vice is Error, Confusion, and false Reasoning; and all Truth is more or less opposite to it. Besides, Mathematical Studies may serve for a pleasant Entertainment for those Hours which young Men are apt to throw away upon their Vices; the Delightfulness of them being such as to make Solitude not only easy, but desirable.

John Arbuthnot

... scientific research is compounded of ... empirical procedures, general speculative ideas, and mathematical or abstract reasoning.