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.
“Mr. MADISON said that he had brought with him into the Convention a strong bias in favor of an enumeration and definition of the powers necessary to be exercised by the national Legislature; but had also brought doubts concerning its practicability. His wishes remained unaltered; but his doubts had become stronger. What his opinion might ultimately be he could not yet tell. But he should shrink from nothing which should be found essential to such a form of Govt. as would provide for the safety, liberty and happiness of the community. This being the end of all our deliberations, all the necessary means for attaining it must, however reluctantly, be submitted to.”
Madison's notes (31 May 1787)
1780s, The Debates in the Federal Convention (1787)
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James Madison 145
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