By studying the masters and not their pupils.
Until now the theory of infinite series in general has been very badly grounded. One applies all the operations to infinite series as if they were finite; but is that permissible? I think not. Where is it demonstrated that one obtains the differential of an infinite series by taking the differential
The mathematicians have been very much absorbed with finding the general solution of algebraic equations, and several of them have tried to prove the impossibility of it. However, if I am not mistaken, they have not as yet succeeded. I therefore dare hope that the mathematicians will receive this me
There are very few theorems in advanced analysis which have been demonstrated in a logically tenable manner. Everywhere one finds this miserable way of concluding from the special to the general and it is extremely peculiar that such a procedure has led to so few of the so-called paradoxes.
I shall devote all my efforts to bring light into the immense obscurity that today reigns in Analysis. It so lacks any plan or system, that one is really astonished that there are so many people who devote themselves to it - and, still worse, it is absolutely devoid of any rigor.
It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils.
With the exception of the geometrical series, there does not exist in all of mathematics a single infinite series the sum of which has been rigorously determined. In other words, the things which are the most important in mathematics are also those which have the least foundation.
Envy is a declaration of inferiority.
Force is the law of animals, men are ruled by conviction.
I love a brave soldier who has undergone the baptism of fire.
It is not by whining that one carries out the job of king.
A legislator must know how to take advantage of even the defects of those he wants to govern. The art consists in making others work rather than in wearing oneself out.
Man, not men, is the most important consideration.
The most terrible of all my battles was the one before Moscow. The French showed themselves to be worthy of victory, but the Russians showed themselves worthy of being invincible.
The art of being sometimes audacious and sometimes very prudent is the secret of success.
To do all that one is able to do, is to be a man; to do all that one would like to do, is to be a god.
The worse the troops the greater the need of artillery.
I do not believe it is in our nature to love impartially. We deceive ourselves when we think we can love two beings, even our own children, equally. There is always a dominant affection.
An army marches on its stomach. Napoleon Bonapart
When I was happy I thought I knew men, but it was fated that I should know them in misfortune only.
The best medicine against the grapes of wrath is a whiff of grapeshot
In politics... never retreat, never retract... never admit a mistake.
It is with artillery that war is made.
Rascality has limits; stupidity has not.
The advance and perfecting of mathematics are closely joined to the prosperity of the nation.
To negotiate is not to do as one likes.
In politics nothing is immutable. Events carry within them an invincible power. The unwise destroy themselves in resistance. The skillful accept events, take strong hold of them and direct them.