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Carl Friedrich Gauss quotes - page 3
Finally, a few days ago, it has been achieved - but not by my cumbersome search, rather through God's good grace, I am tempted to say. As the lightning strikes the riddle was solved; I myself would be unable to point to a guiding thread between what I knew before, what I had used in my last attempts, and what made it work.
Carl Friedrich Gauss
It is beyond doubt that the happiness which love can bestow on its chosen souls is the highest that can fall to mortal's lot. But when I imagine myself in the place of the man who, after twenty happy years, now in one moment loses his all, I am moved almost to say that he is the wretchedest of mortals, and that it is better never to have known such happy days. So it is on this miserable earth: 'the purest joy finds its grave in the abyss of time.
Carl Friedrich Gauss
Mathematics is the queen of sciences and 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 the first rank.
Carl Friedrich Gauss
Theory attracts practice as the magnet attracts iron.
Carl Friedrich Gauss
You have no idea, how much poetry there is in the calculation of a table of logarithms!
Carl Friedrich Gauss
The Infinite is only a manner of speaking.
Carl Friedrich Gauss
It is always noteworthy that all those who seriously study this science [the theory of numbers] conceive a sort of passion for it.
Carl Friedrich Gauss
Mathematics is concerned only with the enumeration and comparison of relations.
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.
Carl Friedrich Gauss
I protest against the use of infinite magnitude ..., which is never permissible in mathematics.
Carl Friedrich Gauss
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
I believe you are more believing in the Bible than I. I am not, and, you are much happier than I.
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
Mathematical discoveries, like springtime violets in the woods, have their season which no human can hasten or retard.
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
By explanation the scientist understands nothing except the reduction to the least and simplest basic laws possible, beyond which he cannot go, but must plainly demand them; from them however he deduces the phenomena absolutely completely as necessary.
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
To the distracting occupations belong especially my lecture courses which I am holding this winter for the first time, and which now cost much more of my time than I like. Meanwhile I hope that the second time this expenditure of time will be much less, otherwise I would never be able to reconcile myself to it, even practical (astronomical) work must give far more satisfaction than if one brings up to B a couple more mediocre heads which otherwise would have stopped at A.
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
But of all these principles ours is the most simple; by the others we should be led into the most complicated calculations.
Carl Friedrich Gauss
Spherical trigonometry and certain other theorems, to which the author has added a new one of frequent application, then serve for the solution of the problems which the comparison of the various directions involved can present.
Carl Friedrich Gauss
The principle that the sum of the squares of the differences between the observed and computed quantities must be a minimum may, in the following manner, be considered independently of the calculus of probabilities.
Carl Friedrich Gauss
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