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As far as the laws of mathematics refer to reality, they are not certain, and as far as they are certain, they do not refer to reality.
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All these primary impulses, not easily described in words, are the springs of man's actions.
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It has often been said, and certainly not without justification, that the man of science is a poor philosopher.
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One reason why mathematics enjoys special esteem, above all other sciences, is that its laws are absolutely certain and indisputable, while those of other sciences are to some extent debatable and in constant danger of being overthrown by newly discovered facts.
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The point is to develop the childlike inclination for play and the childlike desire for recognition and to guide the child over to important fields for society. Such a school demands from the teacher that he be a kind of artist in his province.
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Do you remember how electrical currents and 'unseen waves' were laughed at? The knowledge about man is still in its infancy.
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The thing is, not to stop questioning.
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There is no salvation for civilization, or even the human race, other than the creation of a world government.
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Every day I remind myself that my inner and outer life are based on the labors of other men, living and dead, and that I must exert myself in order to give in the same measure as I have received and am still receiving.
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Incompetence is the true crisis.
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You must be aware that most men, and also not only a few women, are by nature not monogamous. This nature makes itself even more forceful when tradition and circumstance stand in an individual's way.
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All these constructions and the laws connecting them can be arrived at by the principle of looking for the mathematically simplest concepts and the link between them.
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Inner freedom is an infrequent gift of nature and a worthy object for the individual.
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In scientific thinking are always present elements of poetry. Science and music requires a thought homogeneous.
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To the extent math refers to reality, we are not certain to the extent we are certain, math does not refer to reality.
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Not all that counts, can be counted.
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My pacifism is an instinctive feeling, a feeling that possesses me because the murder of men is disgusting. My attitude is not derived from any intellectual theory but is based on my deepest antipathy to every kind of cruelty and hatred.
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It is an outcome of faith that nature-as she is perceptible to our five senses-takes the character of such a well formulated puzzle.
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For every one billion particles of antimatter there were one billion and one particles of matter. And when the mutual annihilation was complete, one billionth remained - and that's our present universe.
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Relations between pure and applied mathematicians are based on trust and understanding. Namely, pure mathematicians do not trust applied mathematicians, and applied mathematicians do not understand pure mathematicians.
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Reading after a certain age diverts the mind too much from its creative pursuits. Any man who reads too much and uses his own brain too little falls into lazy habits of thinking, just as the man who spends too much time in the theater is tempted to be content with living vicariously instead of living his own life.
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A photograph never grows old. You and I change, people change all through the months and years but a photograph always remains the same. How nice to look at a photograph of mother or father taken many years ago. You see them as you remember them. But as people live on, they change completely. That is why I think a photograph can be kind.
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What I seek to accomplish is simply to serve with my feeble capacity truth and justice, at the risk of pleasing no one.
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Occurrences in this domain are beyond the reach of exact prediction because of the variety of factors in operation, not because of any lack of order in nature.