Gauss Quotes

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Quotes About Gauss

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The analytical geometry of Descartes and the calculus of Newton and Leibniz have expanded into the marvelous mathematical method-more daring than anything that the history of philosophy records-of Lobachevsky and Riemann, Gauss and Sylvester. Indeed, mathematics, the indispensable tool of the sciences, defying the senses to follow its splendid flights, is demonstrating today, as it never has been demonstrated before, the supremacy of the pure reason. ~ Nicholas Murray Butler
Gauss quotes by Nicholas Murray Butler
His second motto: Thou, nature, art my goddess; to thy laws my services are bound. ~ Carl Friedrich Gauss
Gauss quotes by Carl Friedrich Gauss
There are problems to whose solution I would attach an infinitely greater importance than to those of mathematics, for example touching ethics, or our relation to God, or concerning our destiny and our future; but their solution lies wholly beyond us and completely outside the province of science. ~ Carl Friedrich Gauss
Gauss quotes by Carl Friedrich Gauss
That this subject [of imaginary magnitudes] has hitherto been considered from the wrong point of view and surrounded by a mysterious obscurity, is to be attributed largely to an ill-adapted notation. If, for example, +1, -1, and the square root of -1 had been called direct, inverse and lateral units, instead of positive, negative and imaginary (or even impossible), such an obscurity would have been out of the question. ~ Carl Friedrich Gauss
Gauss quotes by Carl Friedrich Gauss
If others would but reflect on mathematical truths as deeply and continuously as I have, they would make my discoveries. ~ Carl Friedrich Gauss
Gauss quotes by Carl Friedrich Gauss
As is well known the principle of virtual velocities transforms all statics into a mathematical assignment, and by D'Alembert's principle for dynamics, the latter is again reduced to statics. Although it is is very much in order that in gradual training of science and in the instruction of the individual the easier precedes the more difficult, the simple precedes the more complicated, the special precedes the general, yet the min, once it has arrived at the higher standpoint, demands the reverse process whereby all statics appears only as a very special case of mechanics. ~ Carl Friedrich Gauss
Gauss quotes by Carl Friedrich Gauss
Less depends upon the choice of words than upon this, that their introduction shall be justified by pregnant theorems. ~ Carl Friedrich Gauss
Gauss quotes by Carl Friedrich Gauss
I have had my results for a long time: but I do not yet know how I am to arrive at them. ~ Carl Friedrich Gauss
Gauss quotes by Carl Friedrich Gauss
Nobody ever looks in the mirror and says, "Let's face it, I'm smarter than Gauss." And yet, in the last hundred years, the joined effort of all these dummies-compared-to-Gauss has produced the greatest flowering of mathematical knowledge the world has ever seen. ~ Jordan Ellenberg
Gauss quotes by Jordan Ellenberg
A mathematician will recognise Cauchy, Gauss, Jacobi or Helmholtz after reading a few pages, just as musicians recognise, from the first few bars, Mozart, Beethoven or Schubert. ~ Ludwig Boltzmann
Gauss quotes by Ludwig Boltzmann
You have no idea, how much poetry there is in the calculation of a table of logarithms! ~ Carl Friedrich Gauss
Gauss quotes by Carl Friedrich Gauss
When I have clarified and exhausted a subject, then I turn away from it, in order to go into darkness again. ~ Carl Friedrich Gauss
Gauss quotes by Carl Friedrich Gauss
I am giving this winter two courses of lectures to three students, of which one is only moderately prepared, the other less than moderately, and the third lacks both preparation and ability. Such are the onera of a mathematical profession. ~ Carl Friedrich Gauss
Gauss quotes by Carl Friedrich Gauss
It is not knowledge, but the act of learning, not the possession of but the act of getting there, which grants the greatest enjoyment. ~ Carl Friedrich Gauss
Gauss quotes by Carl Friedrich Gauss
[On scientist Carl Friedrich Gauss]
[Carl Friedrich] Gauss told his friend Rudolf Wagner, a professor of biology at Gottingen University, that he did not believe in the Bible but that he had meditated a great deal on the future of the human soul and speculated on the possibility of the soul being reincarnated on another planet. Evidently, Gauss was a Deist with a good deal of skepticism concerning religion. ~ Gerhard Falk
Gauss quotes by Gerhard Falk
Certain opponents of Marxism dismiss it as an outworn economic dogma based upon 19th century prejudices. Marxism never was a dogma. There is no reason why its formulation in the 19th century should make it obsolete and wrong, any more than the discoveries of Gauss, Faraday and Darwin, which have passed into the body of science... The defense generally given is that the Gita and the Upanishads are Indian; that foreign ideas like Marxism are objectionable. This is generally argued in English the foreign language common to educated Indians; and by persons who live under a mode of production (the bourgeois system forcibly introduced by the foreigner into India.) The objection, therefore seems less to the foreign origin than to the ideas themselves which might endanger class privilege. Marxism is said to be based upon violence, upon the class-war in which the very best people do not believe nowadays. They might as well proclaim that meteorology encourages storms by predicting them. No Marxist work contains incitement to war and specious arguments for senseless killing remotely comparable to those in the divine Gita. ~ Damodar Dharmananda Kosambi
Gauss quotes by Damodar Dharmananda Kosambi
I protest against the use of infinite magnitude ... , which is never permissible in mathematics. ~ Carl Friedrich Gauss
Gauss quotes by Carl Friedrich Gauss
The mathematical giant [Gauss], who from his lofty heights embraces in one view the stars and the abysses ... ~ Farkas Bolyai
Gauss quotes by Farkas Bolyai
The importance of C.F. Gauss for the development of modern physical theory and especially for the mathematical fundament of the theory of relativity is overwhelming indeed; also his achievement of the system of absolute measurement in the field of electromagnetism. In my opinion it is impossible to achieve a coherent objective picture of the world on the basis of concepts which are taken more or less from inner psychological experience. ~ Albert Einstein
Gauss quotes by Albert Einstein
Unless you are as smart as Johann Karl Friedrich Gauss, savvy as a half-blind Calcutta bootblack, tough as General William Tecumseh Sherman, rich as the Queen of England, emotionally resilient as a Red Sox fan, and as generally able to take care of yourself as the average nuclear missile submarine commander, you should never have been allowed near this document. ~ Neal Stephenson
Gauss quotes by Neal Stephenson
As we have seen with reference to the experiences of Gauss and Poincare, the mathematicians also discovered the fact that our representations are "ordered" before we become aware of them. B.L. van der Waerden, who cites many examples of essential mathematical insights arising from the unconscious, concludes: " ... the unconscious is not only able to associate and combine, but even to judge. The judgment of the unconscious is an intuitive one, but it is under favorable circumstances completely sure. ~ C. G. Jung
Gauss quotes by C. G. Jung
Mathematics is concerned only with the enumeration and comparison of relations. ~ Carl Friedrich Gauss
Gauss quotes by Carl Friedrich Gauss
Dostoevsky gives me more than any scientist, more than Gauss. ~ Albert Einstein
Gauss quotes by Albert Einstein
Arc, amplitude, and curvature sustain a similar relation to each other as time, motion, and velocity, or as volume, mass, and density. ~ Carl Friedrich Gauss
Gauss quotes by Carl Friedrich Gauss
As our friend Zach has often noted, in our days those who do the best for astronomy are not the salaried university professors, but so-called dillettanti, physicians, jurists, and so forth.Lamenting the fragmentary time left to a professor has remaining after fulfilling his teaching duties. ~ Carl Friedrich Gauss
Gauss quotes by Carl Friedrich Gauss
He is like the fox, who effaces his tracks in the sand with his tail.

{Describing the writing style of famous mathematician Carl Friedrich Gauss} ~ Niels Henrik Abel
Gauss quotes by Niels Henrik Abel
With a thousand joys I would accept a nonacademic job for which industriousness, accuracy, loyalty, and such are sufficient without specialized knowledge, and which would give a comfortable living and sufficient leisure, in order to sacrifice to my gods [mathematical research]. For example, I hope to get the editting of the census, the birth and death lists in local districts, not as a job, but for my pleasure and satisfaction ... ~ Carl Friedrich Gauss
Gauss quotes by Carl Friedrich Gauss
It is a common misconception, in the spirit of the sentiments expressed in Q16, that Godel's theorem shows that there are many different kinds of arithmetic, each of which is equally valid. The particular arithmetic that we may happen to choose to work with would, accordingly, be defined merely by some arbitrarily chosen formal system. Godel's theorem shows that none of these formal systems, if consistent, can be complete; so-it is argued-we can keep adjoining new axioms, according to our whim, and obtain all kinds of alternative consistent systems within which we may choose to work. The comparison is sometimes made with the situation that occurred with Euclidean geometry. For some 21 centuries it was believed that Euclidean geometry was the only geometry possible. But when, in the eighteenth century, mathematicians such as Gauss, Lobachevsky, and Bolyai showed that indeed there are alternatives that are equally possible, the matter of geometry was seemingly removed from the absolute to the arbitrary. Likewise, it is often argued, Godel showed that arithmetic, also, is a matter of arbitrary choice, any one set of consistent axioms being as good as any other. ~ Roger Penrose
Gauss quotes by Roger Penrose
Theory attracts practice as the magnet attracts iron. ~ Carl Friedrich Gauss
Gauss quotes by Carl Friedrich Gauss
[On Sophie Germain] When a person of the sex which, according to our customs and prejudices, must encounter infinitely more difficulties than men ... succeeds nevertheless in surmounting these obstacles and penetrating the most obscure parts of [number theory], then without doubt she must have the noblest courage, quite extraordinary talents and superior genius. ~ Carl Friedrich Gauss
Gauss quotes by Carl Friedrich Gauss
I mean the word proof not in the sense of the lawyers, who set two half proofs equal to a whole one, but in the sense of a mathematician, where half proof = 0, and it is demanded for proof that every doubt becomes impossible. ~ Carl Friedrich Gauss
Gauss quotes by Carl Friedrich Gauss
The total number of Dirichlet's publications is not large: jewels are not weighed on a grocery scale. ~ Carl Friedrich Gauss
Gauss quotes by Carl Friedrich Gauss
In my opinion instruction is very purposeless for such individuals who do no want merely to collect a mass of knowledge, but are mainly interested in exercising (training) their own powers. One doesn't need to grasp such a one by the hand and lead him to the goal, but only from time to time give him suggestions, in order that he may reach it himself in the shortest way. ~ Carl Friedrich Gauss
Gauss quotes by Carl Friedrich Gauss
Mathematicians stand on each other's shoulders. ~ Carl Friedrich Gauss
Gauss quotes by Carl Friedrich Gauss
In the last two months I have been very busy with my own mathematical speculations, which have cost me much time, without my having reached my original goal. Again and again I was enticed by the frequently interesting prospects from one direction to the other, sometimes even by will-o'-the-wisps, as is not rare in mathematic speculations. ~ Carl Friedrich Gauss
Gauss quotes by Carl Friedrich Gauss
A reply to Olbers' attempt in 1816 to entice him to work on Fermat's Theorem. I confess that Fermat's Theorem as an isolated proposition has very little interest for me, because I could easily lay down a multitude of such propositions, which one could neither prove nor dispose of. [] ~ Carl Friedrich Gauss
Gauss quotes by Carl Friedrich Gauss
It may be true that people who are merely mathematicians have certain specific shortcomings; however that is not the fault of mathematics, but is true of every exclusive occupation. Likewise a mere linguist, a mere jurist, a mere soldier, a mere merchant, and so forth. One could add such idle chatter that when a certain exclusive occupation is often connected with certain specific shortcomings, it is on the other hand always free of certain other shortcomings. ~ Carl Friedrich Gauss
Gauss quotes by Carl Friedrich Gauss
Communication engineering began with Gauss, Wheatstone, and the first telegraphers. ~ Norbert Wiener
Gauss quotes by Norbert Wiener
It may be true, that men, who are mere mathematicians, have certain specific shortcomings, but that is not the fault of mathematics, for it is equally true of every other exclusive occupation. ~ Carl Friedrich Gauss
Gauss quotes by Carl Friedrich Gauss
Sophie Germain proved to the world that even a woman can accomplish something in the most rigorous and abstract of sciences and for that reason would well have deserved an honorary degree. ~ Carl Friedrich Gauss
Gauss quotes by Carl Friedrich Gauss
Two centuries ago Carl Friedrich Gauss, one of the greatest mathematicians and a founder of number theory, described his brainchild as "the queen of mathematics." Queens are regal, but they are also largely decorative, and this nuance was not lost on Gauss. ~ Ian Stewart
Gauss quotes by Ian Stewart
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. ~ Carl Friedrich Gauss
Gauss quotes by Carl Friedrich Gauss
Does the pursuit of truth give you as much pleasure as before? Surely it is not the knowing but the learning, not the possessing but the acquiring, not the being-there but the getting there that afford the greatest satisfaction. If I have exhausted something, I leave it in order to go again into the dark. Thus is that insatiable man so strange: when he has completed a structure it is not in order to dwell in it comfortably, but to start another. ~ Carl Friedrich Gauss
Gauss quotes by Carl Friedrich Gauss
[Gauss calculated the elements of the planet Ceres] and his analysis proved him to be the first of theoretical astronomers no less than the greatest of 'arithmeticians.' ~ W. W. Rouse Ball
Gauss quotes by W. W. Rouse Ball
The total subject of mathematics is clearly too broad for any of us. I do not think that any mathematician since Gauss has covered it uniformly and fully; even Hilbert did not and all of us are of considerably lesser width quite apart from the question of depth than Hilbert. ~ John Von Neumann
Gauss quotes by John Von Neumann
God does arithmetic. ~ Carl Friedrich Gauss
Gauss quotes by Carl Friedrich Gauss
In other words, our conscious representations are sometimes ordered (or arranged in a pattern) before they have become conscious to us. The 18th-century German mathematician Karl Friedrich Gauss gives an example of an experience of such an unconscious order of ideas: He says that he found a certain rule in the theory of numbers "not by painstaking research, but by the Grace of God, so to speak. The riddle solved itself as lightning strikes, and I myself could not tell or show the connection between what I knew before, what I last used to experiment with, and what produced the final success." The French scientist Henri Poincare is even more explicit about this phenomenon; he describes how during a sleepless night he actually watched his mathematical representations colliding in him until some of them "found a more stable connection. One feels as if one could watch one's own unconscious at work, the unconscious activity partially becoming manifest to consciousness without losing its own character. At such moments one has an intuition of the difference between the mechanisms of the two egos. ~ C.G. Jung
Gauss quotes by C.G. Jung
Ask her to wait a moment I am almost done. ~ Carl Friedrich Gauss
Gauss quotes by Carl Friedrich Gauss
There are ... scientific works - star catalogues, for example - which are not art; but the theoretical structures of Gauss, Einstein, or Maxwell are original, individual, "very personal" responses and expressions of exactly the same kind as the creative works of Beethoven or Dostoievski. ~ James R Newman
Gauss quotes by James R Newman
The moral high ground is a lovely place. It won't stop a missile, though. It won't alter the trajectory of a gauss round. ~ James S.A. Corey
Gauss quotes by James S.A. Corey
Further, the dignity of the science itself seems to require that every possible means be explored for the solution of a problem so elegant and so celebrated. ~ Carl Friedrich Gauss
Gauss quotes by Carl Friedrich Gauss
I know this may sound like an excuse," he said. "But tensor functions in higher differential topology, as exemplified by application of the Gauss-Bonnett Theorem to Todd Polynomials, indicate that cohometric axial rotation in nonadiabatic thermal upwelling can, by random inference derived from translational equilibrium aggregates, array in obverse transitional order the thermodynamic characteristics of a transactional plasma undergoing negative entropy conversions."
"Why don't you just shut up," said Hardesty. ~ Mark Helprin
Gauss quotes by Mark Helprin
Mathematics is the queen of science, and arithmetic the queen of mathematics. ~ Carl Friedrich Gauss
Gauss quotes by Carl Friedrich Gauss
Gauss replied, when asked how soon he expected to reach certain mathematical conclusions, that he had them long ago, all he was worrying about was how to reach them! ~ Rene Dubos
Gauss quotes by Rene Dubos
In mathematics there are no true controversies. ~ Carl Friedrich Gauss
Gauss quotes by Carl Friedrich Gauss
I believe you are more believing in the Bible than I. I am not, and, you are much happier than I. ~ Carl Friedrich Gauss
Gauss quotes by Carl Friedrich Gauss
The enchanting charms of this sublime science reveal only to those who have the courage to go deeply into it. ~ Carl Friedrich Gauss
Gauss quotes by Carl Friedrich Gauss
Life stands before me like an eternal spring with new and brilliant clothes. ~ Carl Friedrich Gauss
Gauss quotes by Carl Friedrich Gauss
When a philosopher says something that is true then it is trivial. When he says something that is not trivial then it is false. ~ Carl Friedrich Gauss
Gauss quotes by Carl Friedrich Gauss
If we except the great name of Newton (and the exception is one that the great Gauss himself would have been delighted to make) it is probable that no mathematician of any age or country has ever surpassed Gauss in the combination of an abundant fertility of invention with an absolute vigorousness in demonstration ... ~ Henry John Stephen Smith
Gauss quotes by Henry John Stephen Smith
I am coming more and more to the conviction that the necessity of our geometry cannot be demonstrated, at least neither by, nor for, the human intellect. ~ Carl Friedrich Gauss
Gauss quotes by Carl Friedrich Gauss
Archimedes, Newton, and Gauss, these three, are in a class by
themselves among the great mathematicians, and it is not for
ordinary mortals to attempt to range them in order of merit. ~ Eric Temple Bell
Gauss quotes by Eric Temple Bell
For other great mathematicians or philosophers, he [Gauss] used the epithets magnus, or clarus, or clarissimus; for Newton alone he kept the prefix summus. ~ W. W. Rouse Ball
Gauss quotes by W. W. Rouse Ball
The higher arithmetic presents us with an inexhaustible store of interesting truths - of truths, too, which are not isolated, but stand in a close internal connection, and between which, as our knowledge increases, we are continually discovering new and sometimes wholly unexpected ties. ~ Carl Friedrich Gauss
Gauss quotes by Carl Friedrich Gauss
Maiha
"Allow me to introduce you to the Children of Mars. On lead guitar and eight barreled Calliope Gatlin, Colonel Fujiyama. On bass and manning the double-barreled thirty millimeter PPC's we have Major Howard. Singing backup and key boards we have Fight Captain Benz with a lovely ten millimeter rapid fire gauss rifle. Her lovely partner Captain Martin on drums with her ten millimeter Hell-bore pulse laser rifle. And singing lead and front man, a true artist with a bang from the Castile sniper rifle, our Big Daddy, Papa of Death and Destruction, the one, the only, the man, the myth, the legend, Lord James Nakatoma- Bailey." When I finished Alice was giggling out loud. ~ Jessie Wolf
Gauss quotes by Jessie Wolf
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