Ars Conjectandi (1713)
Reported in Andrew Stuart, Letters to the Right Honorable Lord Mansfield (1773), p. 29.
George Forsythe (1958) cited in: Computers and people Vol 23. (1974). p. 11 Pagina 11
Source: 1850s, An Investigation of the Laws of Thought (1854), p. 244; Cited in: Michael J. Katz (1986) Templets and the Explanation of Complex Patterns, p. 123
Madison's own notes on Madison's remarks of debate (6 June 1787) http://avalon.law.yale.edu/18th_century/debates_606.asp
1780s, The Debates in the Federal Convention (1787)
Context: In all cases where a majority are united by a common interest or passion, the rights of the minority are in danger. What motives are to restrain them? A prudent regard to the maxim that honesty is the best policy is found by experience to be as little regarded by bodies of men as by individuals. Respect for character is always diminished in proportion to the number among whom the blame or praise is to be divided. Conscience, the only remaining tie, is known to be inadequate in individuals: In large numbers, little is to be expected from it. Besides, Religion itself may become a motive to persecution & oppression. — These observations are verified by the Histories of every Country antient & modern. In Greece & Rome the rich & poor, the creditors & debtors, as well as the patricians & plebians alternately oppressed each other with equal unmercifulness. What a source of oppression was the relation between the parent cities of Rome, Athens & Carthage, & their respective provinces: the former possessing the power, & the latter being sufficiently distinguished to be separate objects of it? Why was America so justly apprehensive of Parliamentary injustice? Because G. Britain had a separate interest real or supposed, & if her authority had been admitted, could have pursued that interest at our expence. We have seen the mere distinction of colour made in the most enlightened period of time, a ground of the most oppressive dominion ever exercised by man over man. What has been the source of those unjust laws complained of among ourselves? Has it not been the real or supposed interest of the major number? Debtors have defrauded their creditors. The landed interest has borne hard on the mercantile interest. The Holders of one species of property have thrown a disproportion of taxes on the holders of another species. The lesson we are to draw from the whole is that where a majority are united by a common sentiment, and have an opportunity, the rights of the minor party become insecure. In a Republican Govt. the Majority if united have always an opportunity. The only remedy is to enlarge the sphere, & thereby divide the community into so great a number of interests & parties, that in the 1st. place a majority will not be likely at the same moment to have a common interest separate from that of the whole or of the minority; and in the 2d. place, that in case they shd. have such an interest, they may not be apt to unite in the pursuit of it. It was incumbent on us then to try this remedy, and with that view to frame a republican system on such a scale & in such a form as will controul all the evils wch. have been experienced.
Source: An Introduction To Probability Theory And Its Applications (Third Edition), Chapter VI, The Binomial And The Poisson Distributions, p. 152-153.
Source: The Drunkard's Walk, Chapter 5, The Dueling Of Large And Small Numbers, p. 99
Source: 1850s, An Investigation of the Laws of Thought (1854), p. 243-4; As cited in: "George Boole (1815–64)" in: Oxford Dictionary of Scientific Quotations, Edited by W. F. Bynum and Roy Porter, January 2006
Source: Younger by the Day: 365 Ways to Rejuvenate Your Body and Revitalize Your Spirit
