On mistaking pseudorandom number generators for being truly "random" — this quote is often erroneously interpreted to mean that von Neumann was against the use of pseudorandom numbers, when in reality he was cautioning about misunderstanding their true nature while advocating their use. From "Various techniques used in connection with random digits" by John von Neumann in Monte Carlo Method (1951) edited by A.S. Householder, G.E. Forsythe, and H.H. Germond <!-- National Bureau of Standards Applied Mathematics Series, 12 (Washington, D.C.: U.S. Government Printing Office, 1951): 36-38. -->
Context: Any one who considers arithmetical methods of producing random digits is, of course, in a state of sin. For, as has been pointed out several times, there is no such thing as a random number — there are only methods to produce random numbers, and a strict arithmetic procedure of course is not such a method.
“The method of arithmetical teaching]] is perhaps the best understood of any of the methods concerned with elementary studies.”
Source: Education as a Science, 1898, p. 288.
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Alexander Bain 7
Scottish philosopher and educationalist 1818–1903Related quotes
Discussion to ‘Statistics in agricultural research’ by J.Wishart, Journal of the Royal Statistical Society, Supplement, 1, 26-61, 1934.
1930s
“Every course would be a course in methods of learning and, therefore, in methods of teaching.”
Teaching as a Subversive Activity (1969)
Context: If every college teacher taught his courses in the manner we have suggested, there would be no needs for a methods course. Every course would be a course in methods of learning and, therefore, in methods of teaching. For example, a "literature" course would be a course in the process of learning how to read. A history course would be a course in the process of learning how to do history. And so on. But this is the most farfetched possibility of all since college teachers, generally speaking, are more fixated on the Trivia game, than any group of teachers in the educational hierarchy. Thus we are left with the hope that, if methods courses could be redesigned to be model learning environments, the educational revolution might begin. In other words, it will begin as soon as there are enough young teachers who sufficiently despise the crippling environments they are employed to supervise to want to subvert them. The revolution will begin to be visible when such teachers take the following steps (many students who have been through the course we have described do not regard these as "impractical"): 1. Eliminate all conventional "tests" and "testing." 2. Eliminate all "courses." 3. Eliminate all "requirements." 4. Eliminate all full time administrators and administrations. 5. Eliminate all restrictions that confine learners to sitting still in boxes inside of boxes.... the conditions we want to eliminate... happen to be the sources of the most common obstacles to learning. We have largely trapped ourselves in our schools into expending almost all of our energies and resources in the direction of preserving patterns and procedures that make no sense even in their own terms. They simply do not produce the results that are claimed as their justification in the first place — quite the contrary. If it is practical to persist in subsidizing at an ever-increasing social cost a system which condemns our youth to ten or 12 or 16 years of servitude in a totalitarian environment ostensibly for the purpose of training them to be fully functioning, self-renewing citizens of democracy, then we are vulnerable to whatever criticisms that can be leveled.
Source: The present state of art of industrial management, 1913, p. 1124-5 ; (*) See Primer of Scientific Management, F. B. Gilbreth, p. 56; Psychology of Management, L. M. Gilbreth, chap. 8; Motion Study, F. B. Gilbreth, p. 36.
quoted by his brother-in-law Claude Terrasse, in 'Introduction' of Pierre Bonnard, John Rewald; MoMA - distribution Simon & Schuster, New York, 1918
"After Twenty Five Years", an address at McGill College, Montreal (1899); later published in Aequanimitas : With other Addresses to Medical Students, Nurses and Practitioners of Medicine (1910), p. 210.
“Buddha's teachings are scientific methods to solve the problems of all living beings permanently.”
Modern Buddhism: The Path of Compassion and Wisdom (2011)