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“Mystery is an inescapable ingredient of mathematics. Mathematics is full of unanswered questions, which far outnumber known theorems and results. It's the nature of mathematics to pose more problems than it can solve. Indeed, mathematics itself may be built on small islands of truth comprising the pieces of mathematics that can be validated by relatively short proofs. All else is speculation.”

“However rich we may become in knowledge of the deeper causes of historical results, we forgo all understanding of history if we forget this inner continuity,--i.e., the conscious intentions of the participants in history-making and their consciously known successes.”

“When America was first made known to Europe, the part assumed by France on the borders of that new world was peculiar, and is little recognized. While the Spaniard roamed sea and land, burning for achievement, red-hot with bigotry and avarice, and while England, with soberer steps and a less dazzling result, followed in the path of discovery and gold-hunting, it was from France that those barbarous shores first learned to serve the ends of peaceful commercial industry.”

“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.”

“The material which a scientist actually has at his disposal, his laws, his experimental results, his mathematical techniques, his epistemological prejudices, his attitude towards the absurd consequences of the theories which he accepts, is indeterminate in many ways, ambiguous, and never fully separated from the historical background . This material is always contaminated by principles which he does not know and which, if known, would be extremely hard to test.”

“In all the known history of Mankind, advances have been made primarily in physical technology; in the capacity of handling the inanimate world about Man. Control of self and society has been left to to chance or to the vague gropings of intuitive ethical systems based on inspiration and emotion. As a result no culture of greater stability than about fifty-five percent has ever existed, and these only as the result of great human misery.”

“Treading the soil of the moon, palpating its pebbles, tasting the panic and splendor of the event, feeling in the pit of one's stomach the separation from Terra-these form the most romantic sensation an explorer has ever known . . . this is the only thing I can say about the matter. The utilitarian results do not interest me.”