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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.

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.
Whole
Logic
Organism
Connections
Vitality
Mathematics
Organisms
Parts
Reasoning
Whose
Uncertainty
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Connection
Ontology
Upon
Mathematical
Indivisible
Science
Certainty
Conditioned

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The infinite! No other question has ever moved so profoundly the spirit of man.
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Mathematics knows no races or geographic boundaries for mathematics, the cultural world is one country.
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The arithmetical symbols are written diagrams and the geometrical figures are graphic formulas.
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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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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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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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The art of doing mathematics consists in finding that special case which contains all the germs of generality.
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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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[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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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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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.
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Every mathematical discipline goes through three periods of development: the naive, the formal, and the critical.
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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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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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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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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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Physics is becoming too difficult for the physicists.
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Mathematics is a game played according to certain simple rules with meaningless marks on paper.
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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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