A Quote by Niels Henrik Abel
It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils.
Related Quotes
Mathematics has two faces: it is the rigorous science of Euclid, but it is also something else. Mathematics presented in the Euclidean way appears as a systematic, deductive science; but mathematics in the making appears as an experimental, inductive science. Both aspects are as old as the science of mathematics itself.
Communists should set an example in study; at all times they should be pupils of the masses as well as their teachers.
The study of mathematics is the indispensable basis for all intellectual and spiritual progress.
If you want to be a physicist, you must do three things-first, study mathematics, second, study more mathematics, and third, do the same.
The study of geometry is a petty and idle exercise of the mind, if it is applied to no larger system than the starry one. Mathematics should be mixed not only with physics but with ethics; that is mixed mathematics.
Statistics is, or should be, about scientific investigation and how to do it better, but many statisticians believe it is a branch of mathematics. Now I agree that the physicist, the chemist, the engineer, and the statistician can never know too much mathematics, but their objectives should be better physics, better chemistry, better engineering, and in the case of statistics, better scientific investigation. Whether in any given study this implies more or less mathematics is incidental.
The study of combinations should enrich the analytical spirit of studious amateurs. Thereafter the most gifted among them will be able to catch some sparks of the genius of masters, and in addition some rays of the glory that is the masters.
What is mathematics? Ask this question of person chosen at random, and you are likely to receive the answer "Mathematics is the study of number." With a bit of prodding as to what kind of study they mean, you may be able to induce them to come up with the description "the science of numbers." But that is about as far as you will get. And with that you will have obtained a description of mathematics that ceased to be accurate some two and a half thousand years ago!
By studying the masters and not their pupils.
Education should aim at destroying free will so that after pupils are thus schooled they will be incapable throughout the rest of their lives of thinking or acting otherwise than as their school masters would have wished
The broader the chess player you are, the easier it is to be competitive, and the same seems to be true of mathematics - if you can find links between different branches of mathematics, it can help you resolve problems. In both mathematics and chess, you study existing theory and use that to go forward.
We in science are spoiled by the success of mathematics. Mathematics is the study of problems so simple that they have good solutions
We in science are spoiled by the success of mathematics. Mathematics is the study of problems so simple that they have good solutions.
We need to make sure that the laws we're passing are protecting people. And we should not be voting against something that makes progress just because it doesn't make as much progress as we'd like to see made. As much as I might like to see any number of issues progress in larger steps, I understand that some of these things happen in smaller steps. And so for that reason, progress is progress. And success is success.
The natural history of science is the study of the unknown. If you fear it you're not going to study it and you're not going to make any progress.
Progress is slow partly from mere intellectual inertia. In a subject where there is no agreed procedure for knocking out errors, doctrines have a long life. A professor teaches what he was taught, and his pupils, with a proper respect and reverence for teachers, set up a resistance against his critics for no other reason than that it was he whose pupils they were.
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