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Civilization advances by extending the number of important operations which we can perform without thinking of them.
Civilization advances by extending the number of important operations which we can perform without thinking of them.
Computer science is no more about computers than astronomy is about telescopes.
Computer science is no more about computers than astronomy is about telescopes.
Everything that can be invented, has been invented. - 1899.
Everything that can be invented, has been invented. - 1899.
... it is certain that the real function of art is to increase our self-consciousness; to make us more aware read more
... it is certain that the real function of art is to increase our self-consciousness; to make us more aware of what we are, and therefore of what the universe in which we live really is. And since mathematics, in its own way, also performs this function, it is not only aesthetically charming but profoundly significant. It is an art, and a great art.
Research is the process of going up alleys to see if they are blind.
Research is the process of going up alleys to see if they are blind.
The world is very different now. For man holds in his mortal hands the power to abolish all forms of read more
The world is very different now. For man holds in his mortal hands the power to abolish all forms of human poverty, and all forms of human life. - Inaugural Address.
It is not always possible to know what one has learned, or when the dawning will arrive. You will continue read more
It is not always possible to know what one has learned, or when the dawning will arrive. You will continue to shift, sift, to shake out and to double back. The synthesis that finally occurs can be in the most unexpected place and the most unexpected time. My charge ... is to be alert to the dawnings.
Mankind always sets itself only such tasks as it can solve; since, looking at the matter more closely, we will read more
Mankind always sets itself only such tasks as it can solve; since, looking at the matter more closely, we will always find that the task itself arises only when the material conditions necessary for its solution already exist or are at least in the process of formation.
...there is no prescribed route to follow to arrive at a new idea. You have to make the intuitive leap. read more
...there is no prescribed route to follow to arrive at a new idea. You have to make the intuitive leap. But the difference is that once you've made the intuitive leap you have to justify it by filling in the intermediate steps. In my case, it often happens that I have an idea, but then I try to fill in the intermediate steps and find that they don't work, so I have to give it up.
