My theory stands as firm as a rock; every arrow directed against it will return quickly to its archer. How do I know this? Because I have studied it from all sides for many years; because I have examined all objections which have ever been made against the infinite numbers; and above all because I have followed its roots, so to speak, to the first infallible cause of all created things.
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As quoted in Journey Through Genius (1990) by William DunhamGeorg Cantor
That from the outset they expect or even impose all the properties of finite numbers upon the numbers in question, while on the other hand the infinite numbers, if they are to be considered in any form at all, must (in their contrast to the finite numbers) constitute an entirely new kind of number, whose nature is entirely dependent upon the nature of things and is an object of research, but not of our arbitrariness or prejudices.
Georg Cantor
For six years you have been running away, fearing confrontation. Let me assure you that you shouldn’t be afraid. After six years, it has become clear that the lie stands behind you and the grave stands before you. You were created by Britain, and you are protected by America.
Abdullah of Saudi Arabia
Imagination.—It is that deceitful part in man, that mistress of error and falsity, the more deceptive, that she is not always so; for she would be an infallible rule of truth, if she were an infallible rule of falsehood. But being most generally false, she gives no sign of her nature, impressing the same character on the true and the false. I do not speak of fools, I speak of the wisest men; and it is among them that the imagination has the great gift of persuasion. Reason protests in vain; it cannot set a true value on things. 82
Blaise Pascal
It is said that a wise man who stands firm is a statesman, and a foolish man who stands firm is a catastrophe.
Hyman G. Rickover
Pythagoras, as everyone knows, said that "all things are numbers." This statement, interpreted in a modern way, is logical nonsense, but what he meant was not exactly nonsense. He discovered the importance of numbers in music and the connection which he established between music and arithmetic survives in the mathematical terms "harmonic mean" and "harmonic progression." He thought of numbers as shapes, as they appear on dice or playing cards. We still speak of squares or cubes of numbers, which are terms that we owe to him. He also spoke of oblong numbers, triangular numbers, pyramidal numbers, and so on. These were the numbers of pebbles (or as we would more naturally say, shot) required to make the shapes in question.
Pythagoras
Cantor, Georg
Capa, Robert
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