"Complete knowledge of the nature of an analytic……" — Carl Friedrich Gauss
"Complete knowledge of the nature of an analytic function must also include insight into its behavior for imaginary values of the arguments. Often the latter is indispensable even for a proper appreciation of the behavior of the function for real arguments. It is therefore essential that the original determination of the function concept be broadened to a domain of magnitudes which includes both the real and the imaginary quantities, on an equal footing, under the single designation complex numbers."
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Carl Friedrich Gauss
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57 Quotes by Carl Friedrich Gauss
Carl Friedrich Gauss has 57 quotes on this site.
A few more worth reading:
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...as our friend Zach has often noted, in our days those who do the best for astronomy are not the…
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It is not knowledge, but the act of learning, not possession but the act of getting there, which grants the…
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My young friend, I wish that science would intoxicate you as much as our good Göttingen beer! Upon seeing a…
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As is well known the principle of virtual velocities transforms all statics into a mathematical assignment, and by D'Alembert's principle…
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Theory attracts practice as the magnet attracts iron.
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If others would but reflect on mathematical truths as deeply and continuously as I have, they would make my discoveries.
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Response, when asked how he came upon his theorems.
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Mathematical discoveries, like springtime violets in the woods, have their season which no human can hasten or retard.
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A great part of its [higher arithmetic] theories derives an additional charm from the peculiarity that important propositions, with the…
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In mathematics there are no true controversies.
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In the last two months I have been very busy with my own mathematical speculations, which have cost me much…
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It is always noteworthy that all those who seriously study this science [the theory of numbers] conceive a sort of…
See all 57 quotes by Carl Friedrich Gauss »
More Analytic Quotes
This quote is filed under Analytic Quotes,
one of 39 quotes in that category. Here are a few more:
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Sensuality, too, which used to show itself course, smiling, unmasked, and unmistakable, is now serious, analytic, and so burdened with…
— Agnes Repplier
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[Concerning] the usual contempt with which an orthodox analytic group treats all outsiders and strangers ... I urge you to…
— Abraham Maslow
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The principles of logic and mathematics are true universally simply because we never allow them to be anything else. And…
— A.J. Ayer
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The person of analytic or critical intellect finds something ridiculous in everything. The person of synthetic or constructive intellect, in…
— Johann Wolfgang von Goethe
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It is very important to be aware that you may never be satistied with your analytic career if you feel…
— Wilfred Bion
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This idea of imposing an order is very interesting to me. Photography is in essence an analytic medium. … In…
— Stephen Shore
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Our knowledge of the historical worth of certain religious doctrines increases our respect for them, but does not invalidate our…
— Sigmund Freud
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We must be both rational and intellectual, both analytic and imaginative, utilizing both statistics and insight.
— Unknown Author
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"We hold these truths to be sacred and undeniable" in a draft of the Declaration of Independence changes it instead…
— Benjamin Franklin
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Photography is inherently an analytic discipline. Where a painter starts with a blank canvas and builds a picture, a photographer…
— Stephen Shore
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We need to strengthen our analytic capacity in Washington, we need to centralize the anti-terrorism effort
— John Ashcroft
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...(I)ndividual selfhood is expressed in the self's capacity for self-transcendence and not in its rational capacity for conceptual and analytic…
— Reinhold Niebuhr
See all 39 Analytic Quotes »