All the math you need in the stock market you get in the fourth grade.
Desire animates the world. It is present in the baby crying for milk, the girl struggling to solve a math problem, the woman running to meet her lover and later deciding to have children, and the old woman, hunched over her walker, moving down the hall of the nursing home at a glacial pace to pick up her mail. Banish desire from the world, and you get a world of frozen beings who have no reason to live and no reason to die.
Doing mathematics should always mean finding patterns and crafting beautiful and meaningful explanations.
It is the story that matters, not just the ending.
Mental acuity of any kind comes from solving problems yourself, not from being told how to solve them.
There are no solved problems; there are only problems that are more or less solved.
Only professional mathematicians learn anything from proofs. Other people learn from explanations.
I see a certain order in the universe and math is one way of making it visible.
Nothin' from nothin' leaves nothin'.
Euclid Alone Has Looked on Beauty Bare.
The calculus is the greatest aid we have to the application of physical truth in the broadest sense of the word.
Calculus required continuity, and continuity was supposed to require the infinitely little; but nobody could discover what the infinitely little might be.
A math lecture without a proof is like a movie without a love scene. This talk has two proofs.
Mathematics is for lazy people.
I am acutely aware of the fact that the marriage between mathematics and physics, which was so enormously fruitful in past centuries, has recently ended in divorce.
Mathematics may be defined as the economy of counting. There is no problem in the whole of mathematics which cannot be solved by direct counting.
Most likely, logic is capable of justifying mathematics to no greater extent than biology is capable of justifying life.
It is by logic that we prove, but by intuition that we discover. To know how to criticize is good, to know how to create is better.
So-called professional mathematicians have, in their reliance on the relative incapacity of the rest of mankind, acquired for themselves a reputation for profundity very similar to the reputation for sanctity possessed by theologians.
Yet what are all such gaieties to me whose thoughts are full of indices and surds?
Logic is the hygiene the mathematician practices to keep his ideas healthy and strong.
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.
The latest authors, like the most ancient, strove to subordinate the phenomena of nature to the laws of mathematics.
There is nothing mysterious, as some have tried to maintain, about the applicability of mathematics. What we get by abstraction from something can be returned.
It is the merest truism, evident at once to unsophisticated observation, that mathematics is a human invention.
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