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Galileo was no idiot. Only an idiot could believe that science requires martyrdom - that may be necessary in religion, but in time a scientific result will establish itself.

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.
Religion
Math
Science
Scientific
May
Requires
Believe
Mathematics
Galileo
Time
Result
Martyrdom
Necessary
Establish
Results
Idiot
Belief
Mathematical

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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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Every mathematical discipline goes through three periods of development: the naive, the formal, and the critical.
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We do not master a scientific theory until we have shelled and completely prised free its mathematical kernel.
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Mathematics knows no races or geographic boundaries for mathematics, the cultural world is one country.
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Geometry is the most complete science.
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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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Mathematics is a game played according to certain simple rules with meaningless marks on paper.
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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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Physics is becoming too difficult for the physicists.
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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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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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Every kind of science, if it has only reached a certain degree of maturity, automatically becomes a part of mathematics.
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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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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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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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The art of doing mathematics consists in finding that special case which contains all the germs of generality.
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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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