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Topologist Inspirational Quotes (127)
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Adaptability to change is itself a hallmark of successful education.
Peter Hilton
No one fully understands spinors. Their algebra is formally understood but their general significance is mysterious. In some sense they describe the 'square root' of geometry and, just as understanding the square root of -1 took centuries, the same might be true of spinors.
Michael Atiyah
The real satisfaction from mathematics is in learning from others and sharing with others.
William Thurston
The subject for which I am asking your attention deals with the foundations of mathematics. To understand the development of the opposing theories existing in this field one must first gain a clear understnding of the concept science for it is as a part of science that mathematics originally took its place in human thought.
L. E. J. Brouwer
Point set topology is a disease from which the human race will soon recover.
Henri Poincare
Guessing before proving! Need I remind you that it is so that all important discoveries have been made?
Henri Poincare
Pure logic could never lead us to anything but tautologies it can create nothing new not from it alone can any science issue.
Henri Poincare
Thought is only a flash between two long nights, but this flash is everything.
Henri Poincare
...the feeling of mathematical beauty, of the harmony of numbers and of forms, of geometric elegance. It is a genuinely aesthetic feeling, which all mathematicians know
Henri Poincare
A reality completely independent of the spirit that conceives it, sees it, or feels it, is an impossibility. A world so external as that, even if it existed, would be forever inaccessible to us.
Henri Poincare
If you attack a mathematical problem directly, very often you come to a dead end, nothing you do seems to work and you feel that if only you could peer round the corner there might be an easy solution. There is nothing like having somebody else beside you, because he can usually peer round the corner.
Michael Atiyah
The subliminal self is in no way inferior to the conscious self. It knows how to choose and to divine.
Henri Poincare
Mathematicians do not study objects, but the relations between objects.
Henri Poincare
To survive, humans need food, water, and air. Yet biodiversity, the Earth's bodies of water, and the planet's atmosphere are all under threat.
Graciela Chichilnisky
We need to support our future instead of undermining human survival. Let's do it.
Graciela Chichilnisky
Geoengineering means changing the Earth's fundamental large-scale processes.
Graciela Chichilnisky
We need a transformation of the world economy and of how we use and share the Earth's resources. We are running out of time. We are truly at the point of no return.
Graciela Chichilnisky
Mathematicians are born, not made.
Henri Poincare
What is it indeed that gives us the feeling of elegance in a solution, in a demonstration?
Henri Poincare
All great progress takes place when two sciences come together, and when their resemblance proclaims itself, despite the apparent disparity of their substance.
Henri Poincare
I entered an omnibus to go to some place or other. At that moment when I put my foot on the step the idea came to me, without anything in my former thoughts seeming to have paved the way for it, that the transformations I had used to define the Fuchsian functions were identical with non-Euclidean geometry.
Henri Poincare
It is by logic that we prove, but by intuition that we discover. To know how to criticize is good, to know how to create is better.
Henri Poincare
I work in celestial mechanics, but I am not interested in getting to the moon.
Marston Morse
While denial leads to certainty, it is only the certainty of death. This is true for individuals and also for civilizations.
Graciela Chichilnisky
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