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The art of doing mathematics consists in finding that special case which contains all the germs of generality.

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.
Case
Contains
Cases
Statistics
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Consists
Mathematical
Art
Math
Findings
Generality
Finding
Generalities
Mathematics
Germs

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Mathematical science is in my opinion an indivisible whole, an organism whose vitality is conditioned upon the connection of its parts.
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Mathematics is a game played according to certain simple rules with meaningless marks on paper.
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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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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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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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Geometry is the most complete science.
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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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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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Some people have got a mental horizon of radius zero and call it their point of view.
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Every kind of science, if it has only reached a certain degree of maturity, automatically becomes a part of mathematics.
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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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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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One must be able to say at all times--instead of points, straight lines, and planes--tables, chairs, and beer mugs
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Is mathematics doomed to suffer the same fate as other sciences that have split into separate branches?... Mathematics is, in my opinion, an indivisible whole... May the new century bring with it ingenious champions and many zealous and enthusiastic disciples.
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The arithmetical symbols are written diagrams and the geometrical figures are graphic formulas.
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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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[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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The infinite! No other question has ever moved so profoundly the spirit of man.
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Physics is becoming too difficult for the physicists.
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Every mathematical discipline goes through three periods of development: the naive, the formal, and the critical.
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