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"He who seeks for methods without having a definite problem in mind seeks in the most part in vain."
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"You must have your own world within the world and you must never compromise on the matters of giving up your own world for any reason whatsoever!"
"The mind of the Renaissance was not a pilgrim mind, but a sedentary city mind, like that of the ancients."
Mind,
"All of us share conscious recognition of our individual self. Each of us is more than a product of our conscious thoughts. The dictation of our unconscious mind also affects our behavior. The unconsciousness cogitates upon problems that are too harsh to submit to conscious resolution. The unconscious mind frequently directs us to take action that a rational, conscious mind would eschew. Resembling a two-sided coin, both our conscious and unconscious minds contribute to our thought processes. Collaborative thoughts lead to action, and repeated actions result in the development of behavior patterns, and ingrained behavior patterns lead to a sense of identity."
"In order to be open to creativity, one must have the capacity for constructive use of solitude. One must overcome the fear of being alone."
Explore more quotes by David Hilbert
"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."
"Mathematical science is in my opinion an indivisible whole, an organism whose vitality is conditioned upon the connection of its parts."
"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."
"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."
"Mathematics is a game played according to certain simple rules with meaningless marks on paper."
"Mathematics knows no races or geographic boundaries; for mathematics, the cultural world is one country."
"If I were to awaken after having slept for a thousand years, my first question would be: Has the Riemann hypothesis been proven?"
"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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