Quotable Mathematics

"The notion of an equilibrium point is the basic ingredient of our theory. This notion yields a generalization of the concept of the so...

"The notion of an equilibrium point is the basic ingredient of our theory. This notion yields a generalization of the concept of the so...

"It is an outcome of faith that nature - as she is perceptible to our five senses - takes the character of such a well formulated puzzl...

"It is possible to learn strategic flexibility [...] however, that it is difficult to teach it. It is not a matter of learning a few re...

"Up until now most economists have concerned themselves with linear systems, not because of any belief that the facts were so simple,...

"In short, absolute, so-called mathematical factors never find a firm basis in military calculations. From the very start there is an i...

"Every man, as the Stoics used to say, is first and principally recommended to his own care; and every man is certainly, in every respe...

"The most important application of the theory of probability is to what we may call 'chance-like' or 'random' events, o...

"So is not mathematical analysis then not just a vain game of the mind? To the physicist it can only give a convenient language; but is...

"A proven theorem of game theory states that every game with complete information possesses a saddle point and therefore a solution....

"The implication of game theory, which is also the implication of the third image, is, however, that the freedom of choice of any one s...

"An equilibrium is not always an optimum; it might not even be good. This may be the most important discovery of game theory." (Iv...

"The first attempts to consider the behavior of so-called ‘random neural nets’ in a systematic way have led to a series of problems con...

"Chess combines the beauty of mathematical structure with the recreational delights of a competitive game." (Martin Gardner, ...