Builder Quote by Timothy Gowers

“It is obvious that mathematics needs both sorts of mathematicians, theory-builders and problem-solvers.”

Timothy Gowers

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Builder Mathematician Mathematics Needs Obvious Problem Problem solvers Theory

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Although the prime numbers are rigidly determined, they somehow feel like experimental data.

Timothy Gowers

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“if, for each t, we write u(t) for the function from to that takes x to u(x, t), then it describes how the function…

Timothy Gowers

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What a mathematical proof actually does is show that certain conclusions, such as the irrationality of , follow from certain premises, such as the…

Timothy Gowers

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“ut = -uux - uxxx. Why is it that this equation gives rise to the remarkable stability of the solutions that was observed experimentally…

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“It is a remarkable phenomenon that children can learn to speak without ever being consciously aware of the sophisticated grammar they are using.”

Timothy Gowers

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“The function ei(kx-ωt) represents a wave that travels at a speed of ω/k, which we have just shown to be equal to -k2. Therefore,…

Timothy Gowers

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“differential equations that can be solved in “closed form,” that is, by means of a formula for the unknown function f, are the exception…

Timothy Gowers

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This attitude [the abstract method in mathematics] can be encapsulated in the following slogan: a mathematical object is what it does.

Timothy Gowers

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At the other end of the spectrum is, for example, graph theory, where the basic object, a graph, can be immediately comprehended. One will…

Timothy Gowers

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... the atlas is a manifold. This is a typical mathematician's use of the word "is", and should not be confused with the normal use.

Timothy Gowers

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Here is something Category-Theorists like: it is trivial, but not trivially trivial.

Timothy Gowers

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“Can we have genuine knowledge of space without ever leaving our armchairs?”

Timothy Gowers

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In the eyes of empire builders men are not men but instruments.

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I came to architecture from building. Because my father was a builder, everybody was - and is - a builder in my family.

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Builders insist that success may never come without a compelling personal commitment to something you care about and would be willing to do with…

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It is interesting, that termites don't build things, and the great builders of our nation almost to a man have been Christians, because Christians…

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Donald Trump, as a businessman, he's not much of a builder and he's not much of dealmaker and he certainly isn't very good at…

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I have discovered the secrets of the pyramids, and have found out how the Egyptians and the ancient builders in Peru, Yucatan and Asia,…

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I look on everything with a very optimistic eye. Because I'm a body builder by trade, you know, that was my intent all my…

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But the virtues we get by first exercising them, as also happens in the case of the arts as well. For the things we…

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