David Hilbert

Mathematics German 1862 – 1943 440 quotes

Formulated 23 problems that shaped 20th century math

Quotes by David Hilbert

The problems of mathematics are not only problems of the specific, but also problems of the universal.

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The problems of mathematics are not only problems of the local, but also problems of the global.

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The problems of mathematics are not only problems of the individual, but also problems of the collective.

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The problems of mathematics are not only problems of the mind, but also problems of the heart.

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Mathematics is an exact science, and its truths are eternal and immutable.

Letter to a colleague

The infinite! No other question has ever moved so profoundly the spirit of man; no other idea has so fruitfully stimulated his intellect; yet no other concept stands in greater need of clarification than that of the infinite.

On the Infinite 1925

We are not speaking here of arbitrariness in any sense. Mathematics is not like a game whose tasks are determined by arbitrarily stipulated rules. Rather, it is a conceptual system possessing internal necessity that can only be so and by no means otherwise.

Attributed, often cited in discussions of mathematical truth

The object of mathematics is to find the most general laws by which the various elements of a mathematical system are connected.

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If I were to awaken after a thousand years, my first question would be: Has the Riemann hypothesis been proven?

Anecdote, often cited by mathematicians

The further development of mathematics is in the hands of the young generation.

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The problems of mathematics are not isolated, but are connected with each other in a complex network.

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Mathematics is the queen of the sciences and number theory is the queen of mathematics.

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The true mathematician is a poet.

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We are dealing with a question of principle, and it is a question of principle that we must not give up.

Letter to a colleague, regarding a mathematical dispute

The most important thing in mathematics is to be able to see the connections between different ideas.

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The problems of mathematics are not to be solved by brute force, but by insight and elegance.

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Mathematics is the foundation of all exact knowledge.

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The true nature of mathematics is to be found in its problems.

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The problems of mathematics are not to be feared, but to be embraced.

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The mathematician's task is to understand, not to create.

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