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Math quotes
Math
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Math quotes (page 11 of 75)
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"Logic takes care of itself; all we have to do is to look and see how it does it."
"Mathematics is like draughts in being suitable for the young, not too difficult, amusing, and without peril to the state."
"Logic is one thing and commonsense another."
"No employment can be managed without arithmetic, no mechanical invention without geometry."
"Men who are unhappy, like men who sleep badly, are always proud of the fact."
"Aristotle maintained that women have fewer teeth than men; although he was twice married, it never occurred to him to verify this statement by examining his wives' mouths."
"What destroys more self-confidence than any other educational thing in America is being assigned to some remedial math when you get into some college, and then it's not taught very well and you end up with this sense of, 'Hey, I can't really figure those things out.'"
"Man is full of desires: he loves only those who can satisfy them all. "This man is a good mathematician," someone will say. But I have no concern for mathematics; he would take me for a proposition. "That one is a good soldier." He would take me for a besieged town. I need, that is to say, a decent man who can accommodate himself to all my desires in a general sort of way."
"The years of searching in the dark for a truth that one feels but cannot express, the intense desire and the alternations of confidence and misgiving until one breaks through to clarity and understanding, are known only to him who has experienced them himself."
"Everything of importance has been said before by somebody who did not discover it."
"In the study of ideas, it is necessary to remember that insistence on hard-headed clarity issues from sentimental feeling, as it were a mist, cloaking the perplexities of fact. Insistence on clarity at all costs is based on sheer superstition as to the mode in which human intelligence functions. Our reasonings grasp at straws for premises and float on gossamers for deductions."
"Algebra reverses the relative importance of the factors in ordinary language."
"The mathematical life of a mathematician is short. Work rarely improves after the age of twenty-five or thirty. If little has been accomplished by then, little will ever be accomplished."
"Do I contradict myself? Very well then, I can bear it."
"If I am given a formula, and I am ignorant of its meaning, it cannot teach me anything, but if I already know it what does the formula teach me?"
"Mathematics was born and nurtured in a cultural environment. Without the perspective which the cultural background affords, a proper appreciation of the content and state of present-day mathematics is hardly possible."
"From somewhere, back in my youth, heard Prof say, 'Manuel, when faced with a problem you do not understand, do any part of it you do understand, then look at it again.' He had been teaching me something he himself did not understand very well—something in math—but had taught me something far more important, a basic principle."
"Someone has remarked that 'An ideal math talk should have one proof and one joke and they should not be the same'."
"I hope that posterity will judge me kindly, not only as to the things which I have explained, but also to those which I have intentionally omitted so as to leave to others the pleasure of discovery."