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We do not master a scientific theory until we have shelled and completely prised free its mathematical kernel.

David Hilbert

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David Hilbert
Age: 81 †
Born: 1862
Born: January 23
Died: 1943
Died: February 14
Mathematician
Philosopher
Physicist
University Teacher
Königsberg i. Pr.
Kernel
Mathematical
Scientific
Master
Masters
Completely
Theory
Shelled
Free

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Mathematics is a game played according to certain simple rules with meaningless marks on paper.
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Some people have got a mental horizon of radius zero and call it their point of view.
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[On Cantor's work:] The finest product of mathematical genius and one of the supreme achievements of purely intellectual human activity.
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No one shall expel us from the paradise which Cantor has created for us. Expressing the importance of Cantor's set theory in the development of mathematics.
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The art of doing mathematics consists in finding that special case which contains all the germs of generality.
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Before beginning [to try to prove Fermat's Last Theorem] I should have to put in three years of intensive study, and I haven't that much time to squander on a probable failure.
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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.
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The further a mathematical theory is developed, the more harmoniously and uniformly does its construction proceed, and unsuspected relations are disclosed between hitherto separated branches of the science.
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The arithmetical symbols are written diagrams and the geometrical figures are graphic formulas.
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Every mathematical discipline goes through three periods of development: the naive, the formal, and the critical.
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Indignant reply to the blatent sex discrimination expressed in a colleague's opposition when Hilbert proposed appointing Emmy Noether as the first woman professor at their university.
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If one were to bring ten of the wisest men in the world together and ask them what was the most stupid thing in existence, they would not be able to discover anything so stupid as astrology.
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The tool which serves as intermediary between theory and practice, between thought and observation, is mathematics it is mathematics which builds the linking bridges and gives the ever more reliable forms.
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Geometry, like arithmetic, requires for its logical development only a small number of simple, fundamental principles. These fundamental principles are called the axioms of geometry.
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The infinite! No other question has ever moved so profoundly the spirit of man.
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Geometry is the most complete science.
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Sometimes it happens that a man's circle of horizon becomes smaller and smaller, and as the radius approaches zero it concentrates on one point. And then that becomes his point of view.
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I do not see that the sex of the candidate is an argument against her admission as a Privatdozent. After all, the Senate is not a bathhouse. Objecting to sex discrimination being the reason for rejection of Emmy Noether's application to join the faculty at the University of Gottingen.
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I didn't work especially hard at mathematics at school, because I knew that's what I'd be doing later.
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Mathematics knows no races or geographic boundaries for mathematics, the cultural world is one country.
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