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"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."
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"Science is what you know, philosophy is what you don't know."
"Human psychology is the most mysterious thing in the world."
"The Man in the Moon is in fact a record of ancient catastrophes--most of which took place before humans, before mammals, and probably even before life arose on Earth. It is a characteristic conceit of our species to put a human face on random cosmic violence."
"The electrical, electronics and wireless radio frequency (RF) industries are creating an increasingly high radiation environment for the human. This is comparable to the elevated radiation environment found at high altitudes and smart health researchers would be wise to contrast high altitude diseases to the epidemics of our time, such as Autism, Attention Deficit Disorder (ADD), Fibromyalgia, Electromagnetic Hypersensitivity (EHS), and so on."
"Some say we are not like humans but we are more like them than we are different. Man and animals are in the same species as mammals as they have mammary glands that produce the milk to nurse their young. Their lungs breathe air and their blood is warm. They are vertebrates in that their skeletal system and well-designed spines hold their bodies together. Each cell is made of molecules, each molecule is made of atoms, and each atom is made of protons, neutrons and mostly electrons, which are made of waves of fibered light."
"Is it not curious, that so vast a being as the whale should see the world through so small an eye, and hear the thunder through an ear which is smaller than a hare's? But if his eyes were broad as the lens of Herschel's great telescope; and his ears capacious as the porches of cathedrals; would that make him any longer of sight, or sharper of hearing? Not at all.-Why then do you try to 'enlarge' your mind? Subtilize it."
"Science is properly more scrupulous than dogma. Dogma gives a charter to mistake, but the very breath of science is a contest with mistake, and must keep the conscience alive."
"I would expect a significant development and elaboration of language in only a few generations if all the chimps unable to communicate were to die or fail to reproduce. Basic English corresponds to about 1,000 words. Chimpanzees are already accomplished in vocabularies exceeding 10 percent of that number."
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."
"A mathematical theory is not to be considered complete until you have made it so clear that you can explain it to the first man whom you meet on the street."
"Mathematical science is in my opinion an indivisible whole, an organism whose vitality is conditioned upon the connection of its parts."
"Mathematics knows no races or geographic boundaries; for mathematics, the cultural world is one country."
"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."
"One can measure the importance of a scientific work by the number of earlier publications rendered superfluous by it."
"He who seeks for methods without having a definite problem in mind seeks in the most part in vain."
"Mathematics is a game played according to certain simple rules with meaningless marks on paper."
"If I were to awaken after having slept for a thousand years, my first question would be: Has the Riemann hypothesis been proven?"
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