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You are download the call of the primes surprising patterns peculiar puzzles and other is not share! Your kremlin replaced a gun that this website could almost store. Your case was an detrital tank. Bell Mathematics, Queen and Servant of the Sciences. Einstein, Albert God does not care about our mathematical difficulties. He integrates empirically. Infeld Quest , Einstein, Albert How can it be that mathematics, being after all a product of human thought independent of experience, is so admirably adapted to the objects of reality? Einstein, Albert [About Newton] Nature to him was an open book, whose letters he could read without effort.
Einstein, Albert 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. Einstein, Albert What is this frog and mouse battle among the mathematicians? Brouwer vs. Hilbert] In H. Einstein, Albert Raffiniert ist der Herr Gott, aber boshaft ist er nicht. God is subtle, but he is not malicious. Inscribed in Fine Hall, Princeton University.
Einstein, Albert Nature hides her secrets because of her essential loftiness, but not by means of ruse. Einstein, Albert The human mind has first to construct forms, independently, before we can find them in things. Einstein, Albert Since the mathematicians have invaded the theory of relativity, I do not understand it myself anymore. Schilpp ed. Albert Einstein, Philosopher-Scientist , Evanston, Einstein, Albert Do not worry about your difficulties in mathematics, I assure you that mine are greater.
Einstein, Albert The truth of a theory is in your mind, not in your eyes. Einstein, Albert These thoughts did not come in any verbal formulation. I rarely think in words at all.
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A thought comes, and I may try to express it in words afterward. Einstein, Albert A human being is a part of the whole, called by us "Universe," a part limited in time and space. He experiences himself, his thoughts and feelings as something separated from the resta kind of optical delusion of his consciousness. This delusion is a kind of prison for us, restricting us to our personal desires and to affection for a few persons nearest to us. Our task must be to free ourselves from this prison by widening our circle of compassion to e mbrace all living creatures and the whole of nature in its beauty.
Nobody is able to achieve this completely, but the striving for such achievement is in itself a part of the liberation and a foundation for inner security. Einstein, Albert The world needs heroes and it's better they be harmless men like me than villains like Hitler. Einstein, Albert It is nothing short of a miracle that modern methods of instruction have not yet entirely strangled the holy curiousity of inquiry. Einstein, Albert Everything that is really great and inspiring is created by the individual who can labor in freedom. Einstein, Albert The search for truth is more precious than its possession.
The American Mathematical Monthly v.
Einstein, Albert If my theory of relativity is proven successful, Germany will claim me as a German and France will declare that I am a citizen of the world. Address at the Sorbonne, Paris. Einstein, Albert We come now to the question: what is a priori certain or necessary, respectively in geometry doctrine of space or its foundations? Formerly we thought everything; nowadays we think nothing.
Already the distanc e-concept is logically arbitrary; there need be no things that correspond to it, even approximately. Einstein, Albert Most of the fundamental ideas of science are essentially simple, and may, as a rule, be expressed in a language comprehensible to everyone. The Evolution of Physics. Einstein, Albert Science without religion is lame; religion without science is blind. Reader's Digest , Nov. Ellis, Havelock The mathematician has reached the highest rung on the ladder of human thought.
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The Dance of Life. Ellis, Havelock It is here [in mathematics] that the artist has the fullest scope of his imagination. Erath, V. God is a child; and when he began to play, he cultivated mathematics. It is the most godly of man's games. Das blinde Spiel. Euler, Leonhard - If a nonnegative quantity was so small that it is smaller than any given one, then it certainly could not be anything but zero. To those who ask what the infinitely small quantity in mathematics is, we answer t hat it is actually zero. Hence there are not so many mysteries hidden in this concept as they are usually believed to be.
These supposed mysteries have rendered the calculus of the infinitely small quite suspect to many people. Those doubts that remain w e shall thoroughly remove in the following pages, where we shall explain this calculus. Euler, Leonhard Mathematicians have tried in vain to this day to discover some order in the sequence of prime numbers, and we have reason to believe that it is a mystery into which the human mind will never penetrate.
Euler, Leonhard [upon losing the use of his right eye] Now I will have less distraction. Everett, Edward In the pure mathematics we contemplate absolute truths which existed in the divine mind before the morning stars sang together, and which will continue to exist there when the last of their radiant host shall hav e fallen from heaven. Quoted by E.
Bell in The Queen of the Sciences , Baltimore, Eves, Howard W. A formal manipulator in mathematics often experiences the discomforting feeling that his pencil surpasses him in intelligence. An expert problem solver must be endowed with two incompatible qualities, a restless imagination and a patient pertinacity. Mathematics may be likened to a large rock whose interior composition we wish to examine. The older mathematicians appear as persevering stone cutters slowly attempting to demolish the rock from the outside with hammer and ch isel.
The later mathematicians resemble expert miners who seek vulnerable veins, drill into these strategic places, and then blast the rock apart with well placed internal charges. One is hard pressed to think of universal customs that man has successfully established on earth. There is one, however, of which he can boast the universal adoption of the Hindu-Arabic numerals to record numbers. In this we perhaps have man's unique worldwide victory of an idea. Ewing, John If the entire Mandelbrot set were placed on an ordinary sheet of paper, the tiny sections of boundary we examine would not fill the width of a hydrogen atom.
Physicists think about such tiny objects; only mathematicians ha ve microscopes fine enough to actually observe them. John Smith who has applied for a position in your department.
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I should start by saying that I cannot recommend him to o highly. In fact, there is no other student with whom I can adequately compare him, and I am sure that the amount of mathematics he knows will surprise you. His dissertation is the sort of work you don't expect to see these days. It definitely d emonstrates his complete capabilities. In closing, let me say that you will be fortunate if you can get him to work for you.