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David Hilbert Quotes

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Geometry is the most complete science  (David Hilbert Quotes) I didn’t work especially hard at mathematics at school, because I knew that’s what I’d be doing later.  (David Hilbert Quotes) 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 Quotes) However unapproachable these problems may seem to us and however helpless we stand before them, we have, nevertheless, the firm conviction that their solution must follow by a finite number of purely logical processes.  (David Hilbert Quotes) A mathematical problem should be difficult in order to entice us, yet not completely inaccessible, lest it mock at our efforts. It should be to us a guide post on the mazy paths to hidden truths, and ultimately a reminder of our pleasure in the successful solution  (David Hilbert Quotes) 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 itsel  (David Hilbert Quotes) One of the supreme achievements of purely intellectual human activity  (David Hilbert Quotes) We must know. We will know  (David Hilbert Quotes) Mathematics is the foundation of all exact knowledge of natural phenomena  (David Hilbert Quotes) Begin with the simplest examples  (David Hilbert Quotes) Keep computations to the lowest level of the multiplication table  (David Hilbert Quotes) The arithmetical symbols are written diagrams and the geometrical figures are graphic formulas  (David Hilbert Quotes) Physics is much too hard for physicists  (David Hilbert Quotes) The infinite! No other question has ever moved so profoundly the spirit of man  (David Hilbert Quotes) Mathematics is a game played according to certain simple rules with meaningless marks on paper  (David Hilbert Quotes) Mathematics knows no races or geographic boundaries; for mathematics, the cultural world is one country  (David Hilbert Quotes) Physics is becoming too difficult for the physicists  (David Hilbert Quotes) Every kind of science, if it has only reached a certain degree of maturity, automatically becomes a part of mathematics  (David Hilbert Quotes) He who seeks for methods without having a definite problem in mind seeks in the most part in vain  (David Hilbert Quotes) How thoroughly it is ingrained in mathematical science that every real advance goes hand in hand with the invention of sharper tools and simpler methods which, at the same time, assist in understanding earlier theories and in casting aside some more complicated developments  (David Hilbert Quotes) 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  (David Hilbert Quotes) Mathematical science is in my opinion an indivisible whole, an organism whose vitality is conditioned upon the connection of its parts  (David Hilbert Quotes) 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  (David Hilbert Quotes) To new concepts correspond, necessarily, new signs. These we choose in such a way that they remind us of the phenomena which were the occasion for the formation of the new concepts  (David Hilbert Quotes) One can measure the importance of a scientific work by the number of earlier publications rendered superfluous by it  (David Hilbert Quotes) 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 Quotes) The art of doing mathematics consists in finding that special case which contains all the germs of generality  (David Hilbert Quotes) Every mathematical discipline goes through three periods of development: the naive, the formal, and the critical  (David Hilbert Quotes) One hears a lot of talk about the hostility between scientists and engineers. I don’t believe in any such thing. In fact I am quite certain it is untrue... There cannot possibly be anything in it because neither side has anything to do with the other  (David Hilbert Quotes) 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 Quotes)
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