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“Time and time again does the pride of man influence his very own fall. While denying it, one gradually starts to believe that he is the authority, or that he possesses great moral dominion over others, yet it is spiritually unwarranted. By that point he loses steam; in result, he falsely begins trying to prove that unwarranted dominion by seizing the role of a condemner.”

“It is said that history turns on small hinges. A human career, too, results from an accumulating series of decisions about large and small matters over a period of years. But the catch is that you can never know when a seemingly small decision may prove to be, from the vantage of later years, the big decision of your life.”

“The fact that astrology nevertheless yields valid results proves that it is not the apparent positions of the stars which work, but rather the times which are measured or determined by arbitrarily named stellar positions. Time thus proves to be a stream of energy filled with qualities and not, as our philosophy would have it, an abstract concept or precondition of knowledge.”

“To escape the power of the unknown, to prove to yourself that you don't believe in it, you accept its spells. Like an avowed atheist who sees the Devil at night, you reason: He certainly doesn't exist; this is therefore an illusion, perhaps a result of indigestion. But the Devil is sure that he exists, and believes in his upside-down theology. What, then, will frighten him? You make the sign of the cross, and he vanishes in a puff of brimstone.”

“If you view everything through the lens of fear, then you tend to stay in retreat mode. You can just as easily see a crises or problem as a challenge, an opportunity to prove your mettle, the chance to strengthen and toughen yourself, or a call to collective action. By seeing it as a challenge, you will have converted this negative into a positive purely by a mental process that will result in positive action as well.”

“I love the pole vault because it is a professor's sport. One must not only run and jump, but one must think. Which pole to use, which height to jump, which strategy to use. I love it because the results are immediate and the strongest is the winner. Everyone knows it. In everyday life that is difficult to prove.”

“Unlike mathematical theorems, scientific results can't be proved. They can only be tested again and again, until only a fool would not believe them. I cannot prove that electrons exist..........if you don't believe in them I have a high voltage cattle prod I'm willing to apply as an argument on their behalf. Electrons speak for themselves.”

“However the machine would permit us to test the hypothesis for any special value of n. We could carry out such tests for a sequence of consecutive values n=2,3,.. up to, say, n=100. If the result of at least one test were negative, the hypothesis would prove to be false; otherwise our confidence in the hypothesis would increase, and we should feel encouraged to attempt establishing the hypothesis, instead of trying to construct a counterexample.”

“Too much knowledge could be a bad thing. I was lead to the Szemerédi theorem by proving a result, about squares, that Euler had already proven, and I relied on an "obvious" fact, about arithmetical progressions, that was unproved at the time. But that lead me to try and prove that formerly unproved statement- about arithmetical progressions-and that ultimately lead to the Szemerédi Theorem.”

“A young financial writer once brought ridicule upon himself by stating that a certain company had nothing to commend it except excellent earnings. Well, there are companies whose earnings are excellent but whose stocks I would never recommend. In selecting investments, I attach prime importance to the men behind them. I'd rather buy brains and character than earnings. Earnings can be good one year and poor the next. But if you put your money into securities run by men combining conspicuous brains and unimpeachable character, the likelihood is that the financial results will prove satisfactory.”

“Rather, risk is a perception in each investor's mind that results from analysis of the probability and amount of potential loss from an investment. If an exploratory oil well proves to be a dry hole, it is called risky. If a bond defaults or a stock plunges in price, they are called risky. But if the well is a gusher, the bond matures on schedule, and the stock rallies strongly, can we say they weren't risky when the investment after it is concluded than was known when it was made.”