Mathematics Quotes
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In my view, using technology too soon is definitely detrimental to education. I have often used the analogy 'it's like wine-tasting for first-graders'. One can be both a strong advocate of first-graders and wine-tasting, but strongly opposed to wine-tasting for first-graders.
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Its very nature, scientific investigation takes for granted such assumptions as that: there is a physical world existing independently of our minds; this world is characterized by various objective patterns and regularities; our senses are at least partially reliable sources of information about this world; there are objective laws of logic and mathematics that apply to the objective world outside our minds;
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Mathematics is the science which draws necessary conclusions.
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Mathematics may be defined as the economy of counting. There is no problem in the whole of mathematics which cannot be solved by direct counting.
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Through music you can become sad, joyful, loving, you can learn. You can learn mathematics, touch, pacing... Oh my God! Ooh... Wow... You can see colors through music. Anything!
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Axiomatization is what one does last, it's rubbish. It's the hygiene of mathematics, axiomatization.
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Everybody who reasons carefully about anything is making a contribution ... and if you abstract it away and send it to the Department of Mathematics they put it in books.
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Chess is not Mathematics, where ten is always more than one; in chess the King with a pawn can beat opponent's King with all pieces if they are placed badly.
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Atheism is the opium of the mathematicians. Atheism is the religion of Mathematics.
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I have written a book called 'In the Wonderland of Numbers.' It's about a young girl, Neha, who is very poor in mathematics, but in a series of illusory experiences, she becomes a great mathematician.
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Just like a man grieving because he has recently lost in his dreams some thing that he had never had in reality, or hoping that tomorrow he would dream that he found it again. That is how mathematics is created; it has its fatal flaw.
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Religion has the same relation to man's heavenly condition that mathematics has to his earthly one: both the one and the other are merely the rules of the game. Belief in God and belief in numbers: local truth and truth of location.
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... we should not be disappointed that everyday language does not work any longer at the apex of our little theory. It is natural; like poetry, the very reason for the existence of mathematics is that it expresses thoughts and feelings which we cannot express in mundane everyday language.
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I had made an empirical discovery and it carried all the weight of a mathematical proof.
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Mathematics is like draughts in being suitable for the young, not too difficult, amusing, and without peril to the state.
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We've lost something that's been with us for so long, and something that drew a lot of us into mathematics. But perhaps that's always the way with math problems, and we just have to find new ones to capture our attention.
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The subtleties of mathematics defecate the grossness of our apprehension, and supply the elements of a sounder and severer logic.
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There is an underlying timelessness in the basic conversation that is mathematics.
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Pictures were completely eliminated from mathematics; in particular when I was young this happened in a very strong fashion.
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Mathematics is concerned with "all possible worlds."
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We know that nature is described by the best of all possible mathematics because God created it.
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Public space is for living, doing business, kissing, and playing. Its value can't be measured with economics or mathematics; it must be felt with the soul.
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I shall here present the view that numbers, even whole numbers, are words, parts of speech, and that mathematics is their grammar. Numbers were therefore invented by people in the same sense that language, both written and spoken, was invented. Grammar is also an invention. Words and numbers have no existence separate from the people who use them. Knowledge of mathematics is transmitted from one generation to another, and it changes in the same slow way that language changes. Continuity is provided by the process of oral or written transmission.
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The beauty of string theory is that it is all about mathematics. For that, you don't need resources or labs. Just sit in your room and do the maths.