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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.
Mathematics
Germs
Case
Contains
Statistics
Cases
Consists
Special
Mathematical
Art
Math
Findings
Generality
Finding
Generalities
More quotes by David Hilbert
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.
David Hilbert
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.
David Hilbert
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.
David Hilbert
Mathematics knows no races or geographic boundaries for mathematics, the cultural world is one country.
David Hilbert
We do not master a scientific theory until we have shelled and completely prised free its mathematical kernel.
David Hilbert
Physics is becoming too difficult for the physicists.
David Hilbert
One must be able to say at all times--instead of points, straight lines, and planes--tables, chairs, and beer mugs
David Hilbert
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.
David Hilbert
Mathematical science is in my opinion an indivisible whole, an organism whose vitality is conditioned upon the connection of its parts.
David Hilbert
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.
David Hilbert
Geometry is the most complete science.
David Hilbert
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.
David Hilbert
The arithmetical symbols are written diagrams and the geometrical figures are graphic formulas.
David Hilbert
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.
David Hilbert
The infinite! No other question has ever moved so profoundly the spirit of man.
David Hilbert
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.
David Hilbert
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.
David Hilbert
Every kind of science, if it has only reached a certain degree of maturity, automatically becomes a part of mathematics.
David Hilbert
[On Cantor's work:] The finest product of mathematical genius and one of the supreme achievements of purely intellectual human activity.
David Hilbert
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
