A Quote by James Joseph Sylvester
I know, indeed, and can conceive of no pursuit so antagonistic to the cultivation of the oratorical faculty ... as the study of Mathematics. An eloquent mathematician must, from the nature of things, ever remain as rare a phenomenon as a talking fish, and it is certain that the more anyone gives himself up to the study of oratorical effect the less will he find himself in a fit state to mathematicize.
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Know thyself! This is the source of all wisdom, said the great thinkers of the past, and the sentence was written in golden letters on the temple of the gods. To know himself, Linnæus declared to be the essential indisputable distinction of man above all other creatures. I know, indeed, in study nothing more worthy of free and thoughtful man than the study of himself. For if we look for the purpose of our existence, we cannot possibly find it outside ourselves. We are here for our own sake.
If you want to be a physicist, you must do three things-first, study mathematics, second, study more mathematics, and third, do the same.
I know no study that will take you nearer the way to happiness than the study of nature - and I include in the study of nature not only things and their forces, but also mankind and their ways, and the moulding of the affections and the will into an earnest desire not only to be happy, but to create happiness.
The twentieth century may well find historical status as the epoch in which man began to study himself as a scientific phenomenon.
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!
No mathematician should ever allow himself to forget that mathematics, more than any other art or science, is a young man's game
Anyone who is not totally dead to himself will soon find that he is tempted and overcome by piddling and frivolous things. Whoever is weak in spirit, given to the flesh and inclined to sensual things can, but only with great difficulty, drag himself away from his earthly desires. Therefore he is often gloomy and sad when he is trying to pull himself away from them, and easily gives way to anger should someone attempt to oppose him.
It is a melancholy experience for a professional mathematician to find himself writing about mathematics. The function of a mathematician is to do something, to prove new theorems, to add to mathematics, and not to talk about what he or other mathematicians have done. Statesmen despise publicists, painters despise art-critics, and physiologists, physicists, or mathematicians have usually similar feelings: there is no scorn more profound, or on the whole more justifiable, than that of the men who make for the men who explain. Exposition, criticism, appreciation, is work for second-rate minds.
How does one chip off the marble that doesn't belong? ... That comes about through five things: humility, reverence, inspiration, deep purpose, and joy. No great man has ever wise-cracked his way to greatness. Until one learns to lose one's self he cannot find himself. No one can multiply himself by himself. He must first divide himself and give himself to the service of all, thus placing himself within all others through acts of thoughtfulness and service.
The most excellent and divine counsel, the best and most profitable advertisement of all others, but the least practised, is to study and learn how to know ourselves. This is the foundation of wisdom and the highway to whatever is good. . . . God, Nature, the wise, the world, preach man, exhort him both by word and deed to the study of himself.
A man must first of all understand certain things. He has thousands of false ideas and false conceptions, chiefly about himself, and he must get rid of some of them before beginning to acquire anything new. Otherwise the new will be built on a wrong foundation and the result will be worse than before. To speak the truth is the most difficult thing in the world; one must study a great deal and for a long time in order to speak the truth. The wish alone is not enough. To speak the truth one must know what the truth is and what a lie is, and first of all in oneself. And this nobody wants to know.
I must study politics and war that my sons may have liberty to study mathematics and philosophy.
Now, where a man in this church says, 'I don't want but one wife, I will live my religion with one,' he will perhaps be saved in the Celestial kingdom; but when he gets there he will not find himself in possession of any wife at all. He has had a talent that he has hid up. He will come forward and say, 'Here is that which thou gavest me, I have not wasted it, and here is the one talent,' and he will not enjoy it but it will be taken and given to those who have improved the talents they received, and he will find himself without any wife, and he will remain single forever and ever.
The more I study the things of the mind the more mathematical I find them. In them as in mathematics it is a question of quantities; they must be treated with precision. I have never had more satisfaction than in proving this in the realms of art, politics and history.
When an Englishman has professed his belief in the supremacy of Shakespeare amongst all poets, he feels himself excused from the general study of literature. He also feels himself excused from the particular study of Shakespeare.
The whole of life is as music and in order to study life we must study it as music. It is not only study, it is also practice which makes man perfect. If someone tells me that a certain person is miserable or wretched or distressed, my answer will be that he is out of tune.
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