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Carl Friedrich Gauss Quotes

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Mathematicians stand on each other’s shoulders  (Carl Friedrich Gauss Quotes) No contradictions will arise as long as Finite Man does not mistake the infinite for something fixed, as long as he is not led by an acquired habit of mind to regard the infinite as something bounded.  (Carl Friedrich Gauss Quotes) It is not knowledge, but the act of learning, not possession but the act of getting there, which grants the greatest enjoyment.  (Carl Friedrich Gauss Quotes) For three days now this angel, almost too heavenly for earth has been my fiancée ... Life stands before me like an eternal spring with new and brilliant colours. Upon his engagement to Johanne Osthof of Brunswick; they married 9 Oct 1805.  (Carl Friedrich Gauss Quotes) Thou, nature, art my goddess; to thy laws my services are bound...{His second motto, from King Lear by Shakespeare}  (Carl Friedrich Gauss Quotes) 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 Quotes) I believe you are more believing in the Bible than I. I am not, and, you are much happier than I  (Carl Friedrich Gauss Quotes) Mathematics is the queen of the sciences and arithmetic [number theory] is the queen of mathematics. She often condescends to render service to astronomy and other natural sciences, but in all relations, she is entitled to first rank  (Carl Friedrich Gauss Quotes) Less depends upon the choice of words than upon this, that their introduction shall be justified by pregnant theorems  (Carl Friedrich Gauss Quotes) Mathematics is the queen of science, and arithmetic the queen of mathematics  (Carl Friedrich Gauss Quotes) His second motto: Thou, nature, art my goddess; to thy laws my services are bound  (Carl Friedrich Gauss Quotes) I protest against the use of infinite magnitude..., which is never permissible in mathematics  (Carl Friedrich Gauss Quotes) Mathematics is concerned only with the enumeration and comparison of relations  (Carl Friedrich Gauss Quotes) Response, when asked how he came upon his theorems  (Carl Friedrich Gauss Quotes) Theory attracts practice as the magnet attracts iron  (Carl Friedrich Gauss Quotes) Mathematics is the queen of the sciences  (Carl Friedrich Gauss Quotes) Life stands before me like an eternal spring with new and brilliant clothes  (Carl Friedrich Gauss Quotes) Ask her to wait a moment I am almost done  (Carl Friedrich Gauss Quotes) 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 Quotes) 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 Quotes) The enchanting charms of this sublime science reveal only to those who have the courage to go deeply into it  (Carl Friedrich Gauss Quotes) 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... geometry should be ranked, not with arithmetic, which is purely aprioristic, but with mechanics  (Carl Friedrich Gauss Quotes) 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 Quotes) 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 Quotes) The problem of distinguishing prime numbers from composite numbers and of resolving the latter into their prime factors is known to be one of the most important and useful in arithmetic. It has engaged the industry and wisdom of ancient and modern geometers to such an extent that it would be superfluous to discuss the problem at length... 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 Quotes) To such idle talk it might further be added: that whenever a certain exclusive occupation is coupled with specific shortcomings, it is likewise almost certainly divorced from certain other shortcomings  (Carl Friedrich Gauss Quotes) We must admit with humility that, while number is purely a product of our minds, space has a reality outside our minds, so that we cannot completely prescribe its properties a priori  (Carl Friedrich Gauss Quotes) If others would but reflect on mathematical truths as deeply and as continuously as I have, they would make my discoveries  (Carl Friedrich Gauss Quotes) But in our opinion truths of this kind should be drawn from notions rather than from notations  (Carl Friedrich Gauss Quotes) 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 Quotes)
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