“He had doubted the correctness of the law of refraction of light but when he found in 1661 that he could deduce it from his Principle, he not only resolved his doubts about the law but felt all the more certain that his Principle was correct.”

— Morris Kline

Source: Mathematical Thought from Ancient to Modern Times (1972), p. 580
Context: Fermat knew that under reflection light takes the path requiring least time and, convinced that nature does indeed act simply and economically, affirmed in letters of 1657 and 1662 his Principle of Least Time, which states that light always takes the path requiring least time. He had doubted the correctness of the law of refraction of light but when he found in 1661 that he could deduce it from his Principle, he not only resolved his doubts about the law but felt all the more certain that his Principle was correct.... Huygens, who had at first objected to Fermat's Principle, showed that it does hold for the propagation of light in media with variable indices of refraction. Even Newton's first law of motion, which states that the straight line or shortest distance is the natural motion of a body, showed nature's desire to economize. These examples suggested that there might be a more general principle. The search for such a principle was undertaken by Maupertuis.

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Morris Kline 42

American mathematician 1908–1992

Alexander Bryan Johnson (1786–1867) United States philosopher and banker

The Philosophical Emperor, a Political Experiment, or, The Progress of a False Position: (1841)
Context: His majesty recollected the celebrated quack doctor, who when asked why his patrons were more numerous than those of regular practitioners, replied, that he was patronised by the fools, who are numerous in every community, while regular physicians are patronised by the wise, who are few. His majesty could not see why the principle was not applicable to politics. He resolved to try it. He would so govern as to be patronised by the numerous class, and leave the desires of the few to be regarded by some future emperor, who should choose to make so unpromising an experiment.

“From early childhood his moral principles had struggled blindly with his interests, but he was certain of one law that ruled all others — masses of men invariably follow interests in deciding morals. Morality is a private and costly luxury.”

Henry Adams (1838–1918) journalist, historian, academic, novelist

The Education of Henry Adams (1907)

“Descartes maintained his confidence in the instantaneity of light. … Yet in his derivation of the law of refraction, Descartes reasoned that light travelled faster in a dense medium than in one less dense. He seems to have had no qualms about comparing infinite magnitudes!”

Carl B. Boyer (1906–1976) American mathematician

Source: The Rainbow: From Myth to Mathematics (1959), p. 204

“no one talks more passionately about his rights than he who in the depths of his soul doubts whether he has any”

Friedrich Nietzsche book Human, All Too Human

I.597
Human, All Too Human (1878)
Context: No one talks more passionately about his rights than he who in the depths of his soul doubts whether he has any. By enlisting passion on his side he wants to stifle his reason and its doubts: thus he will acquire a good conscience and with it success among his fellow men.

“When I look into his eyes, I could see without a doubt that he loved me more than anyone else in the world, that I was his salvation, the same way that he was mine.”

Richelle Mead Shadow Kiss

Source: Shadow Kiss

“Marx set out to resolve the contradictions and to correct the errors in classical political economy. In this he thought he had succeeded very well. Judging by the sound and the fury of the controversy surrounding his interpretations, he either succeeded too well or deluded himself to the success of his enterprise.”

David Harvey (1935) British anthropologist

Source: The Limits To Capital (2006 VERSO Edition), Chapter 2, Production and Distribution, p. 39

“It is not unreasonable to assume that the works of God, their existence and preceding non-existence, are the result of His wisdom, but we are unable to understand many of the ways of His Wisdom in His works. On this principle the whole Law of Moses is based; it begins with this principle: "And God saw all that He had made, and behold, it was very good"”

Maimónides book The Guide for the Perplexed

Source: Guide for the Perplexed (c. 1190), Part III, Ch.25
Context: It is not unreasonable to assume that the works of God, their existence and preceding non-existence, are the result of His wisdom, but we are unable to understand many of the ways of His Wisdom in His works. On this principle the whole Law of Moses is based; it begins with this principle: "And God saw all that He had made, and behold, it was very good" (Gen. i. 31); and it ends with this principle: "The Rock, perfect is His work" (Deut. xxxii. 4). Note it.

“In gathering the materials of International law, he had to go beyond national treaties and denominational interests, for a principle embracing all mankind. The principles of law must stand, he said, even if we suppose that there is no God.”

John Dalberg-Acton, 1st Baron Acton (1834–1902) British politician and historian

The History of Freedom in Christianity (1877)
Context: The French philosopher Charron was one of the men least demoralised by party spirit, and least blinded by zeal for a cause. In a passage almost literally taken from St. Thomas, he describes our subordination under the law of nature, to which all legislation must conform; and he ascertains it not by the light of revealed religion, but by the voice of universal reason, through which God enlightens the consciences of men. Upon this foundation Grotius drew the lines of real political science. In gathering the materials of International law, he had to go beyond national treaties and denominational interests, for a principle embracing all mankind. The principles of law must stand, he said, even if we suppose that there is no God. By these inaccurate terms he meant that they must be found independently of Revelation. From that time it became possible to make politics a matter of principle and of conscience, so that men and nations differing in all other things could live in peace together, under the sanctions of a common law.

“If a man wants to succeed in his work, that is, to achieve the anticipated results, he must bring his ideas into correspondence with the laws of the objective external world; if they do not correspond, he will fail in his practice. After he fails, he draws his lessons, corrects his ideas to make them correspond to the laws of the external world, and can thus turn failure into success; this is what is meant by “failure is the mother of success” and “a fall into the pit, a gain in your wit.”

Mao Zedong (1893–1976) Chairman of the Central Committee of the Communist Party of China

On Practice (1937)
Original: (zh-CN) 人们要想得到工作的胜利即得到预想的结果，一定要使自己的思想合于客观外界的规律性，如果不合，就会在实践中失败。人们经过失败之后，也就从失败取得教训，改正自己的思想使之适合于外界的规律性，人们就能变失败为胜利，所谓“失败者成功之母”，“吃一堑长一智”，就是这个道理。

“No one cared enough to criticise, except himself who soon began to suffer from reaching his own limits. He found that he could not be this — or that — or the other; always precisely the things he wanted to be. He had not wit or scope or force. Judges always ranked him beneath a rival, if he had any; and he believed the judges were right. His work seemed to him thin, commonplace, feeble. At times he felt his own weakness so fatally that he could not go on; when he had nothing to say, he could not say it, and he found that he had very little to say at best.”

Henry Adams (1838–1918) journalist, historian, academic, novelist

The Education of Henry Adams (1907)

“He had doubted the correctness of the law of refraction of light but when he found in 1661 that he could deduce it from his Principle, he not only resolved his doubts about the law but felt all the more certain that his Principle was correct.”

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