"Without the concepts, methods and results found and……" — Hermann Weyl
"Without the concepts, methods and results found and developed by previous generations right down to Greek antiquity one cannot understand either the aims or achievements of mathematics in the last 50 years. [Said in 1950]"
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Hermann Weyl
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21 Quotes by Hermann Weyl
Hermann Weyl has 21 quotes on this site.
A few more worth reading:
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Before you generalize, formalize, and axiomatize there must be mathematical substance.
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Besides language and music, it [mathematics] is one of the primary manifestations of the free creative power of the human…
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You can not apply mathematics as long as words still becloud reality.
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Besides language and music, mathematics is one of the primary manifestations of the free creative power of the human mind.
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Logic is the hygiene the mathematician practices to keep his ideas healthy and strong.
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One may say that mathematics talks about the things which are of no concern to men. Mathematics has the inhuman…
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We are not very pleased when we are forced to accept a mathematical truth by virtue of a complicated chain…
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Mathematics has the inhuman quality of starlight, brilliant and sharp, but cold.
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It is impossible to discuss realism in logic without drawing in the empirical sciences... A truly realistic mathematics should be…
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A modern mathematical proof is not very different from a modern machine, or a modern test setup: the simple fundamental…
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... numbers have neither substance, nor meaning, nor qualities. They are nothing but marks, and all that is in them…
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Our federal income tax law defines the tax y to be paid in terms of the income x; it does…
See all 21 quotes by Hermann Weyl »
More Achievement Quotes
This quote is filed under Achievement Quotes,
one of 2,338 quotes in that category. Here are a few more:
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The important achievement of Apollo was demonstrating that humanity is not forever chained to this planet and our visions go…
— Neil Armstrong
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Because a thing seems difficult for you, do not think it impossible for anyone to accomplish.
— Marcus Aurelius
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If quantitatively the American achievement is impressive, qualitatively it is somewhat less satisfying.
— Irving Babbitt
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All I've ever ended up with in terms of achievements is the movie, some really stupid anecdotes, a bunch of…
— Christian Bale
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Accomplishment is socially judged by ill defined criteria so that one has to rely on others to find out how…
— Albert Bandura
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Our achievements speak for themselves. What we have to keep track of are our failures, discouragements and doubts. We tend…
— Ethel Barrymore
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The natural liberty of man is to be free from any superior power on Earth, and not to be under…
— Samuel Adams
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It is not the going out of port, but the coming in, that determines the success of a voyage.
— Henry Ward Beecher
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Goodness is achieved not in a vacuum, but in the company of other men, attended by love.
— Saul Bellow
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You cannot do wrong and feel right. It is impossible!
— Ezra Taft Benson
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The proud depend upon the world to tell them whether they have value or not. Their self-esteem is determined by…
— Ezra Taft Benson
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The toughest thing about success is that you've got to keep on being a success.
— Irving Berlin
See all 2,338 Achievement Quotes »