
Richard Hamming, Methods of Mathematics Applied to Calculus, Probability, and Statistics (1985).
Source: The Moral Judgment of the Child (1932), Ch. 1 : The Rules of the Game
Context: From the point of view of the practice or application of rules four successive stages can be distinguished.
A first stage of a purely motor and individual character, during which the child handles the marbles at the dictation of his desires and motor habits. This leads to the formation of more or less ritualized schemas, but since play is still purely individual, one can only talk of motor rules and not of truly collective rules.
The second may be called egocentric for the following reasons. This stage begins at the moment when the child receives from outside the example of codified rules, that is to say, some time between the ages of two and five. But though the child imitates this example, he continues to play either by himself without bothering to find play-fellows, or with others, but without trying to win, and therefore without attempting to unify the different ways of playing. In other words, children of this stage, even when they are playing together, play each one "on his own " (everyone can win at once) and without regard for any codification of rules. This dual character, combining imitation of others with a purely individual use of the examples received, we have designated by the term Egocentrism.
A third stage appears between 7 and 8, which we shall call the stage of incipient cooperation. Each player now tries to win, and all, therefore, begin to concern themselves with the question of mutual control and of unification of the rules. But while a certain agreement may be reached in the course of one game, ideas about the rules in general are still rather vague. In other words, children of 7-8, who belong to the same class at school and are therefore constantly playing with each other, give, when they are questioned separately, disparate and often entirely contradictory accounts of the rules observed in playing marbles.
Finally, between the years of 11 and 12, appears a fourth stage, which is that of the codification of rules. Not only is every detail of procedure in the game fixed, but the actual code of rules to be observed is known to the whole society. There is remarkable concordance in the information given by children of 10-12 belonging to the same class at school, when they are questioned on the rules of the game and their possible variations.
Richard Hamming, Methods of Mathematics Applied to Calculus, Probability, and Statistics (1985).
“For four years, from an artistic point of view, I lived from wonder to wonder.”
On her four years stay in Japan from March 1916, quoted in Japan (1916- 1920) http://www.searchforlight.org/TheMother_lifeSketchpart5.htm
"On the Harmony of Theory and Practice in Mechanics" (Jan. 3, 1856)
“Great is truth, but still greater, from a practical point of view, is silence about truth.”
Source: Brave New World
Source: Computer-Aided Design: A Statement of Objectives (1960), p. iii; Abstract.
Source: Public Finance - International Edition - Sixth Edition, Chapter 6, Political Economy, p. 140
Journal of Genetics Vol. 58, page 464 (1963).
Haldane may have been putting his own twist on a phrase he had heard elsewhere, since similar statements can be found earlier. On p. 113 of The Art of Scientific Investigation http://www.archive.org/stream/artofscientifici00beve#page/112/mode/2up (1955), William Ian Beardmore Beveridge wrote: <blockquote>It has been said that the reception of an original contribution to knowledge may be divided into three phases: during the first it is ridiculed as not true, impossible or useless; during the second, people say that there may be something in it but it would never be of any practical use; and in the third and final phase, when the discovery has received general recognition, there are usually people who say that it is not original and has been anticipated by others.</blockquote>
A note at the bottom of the page adds that "This saying seems to have originated from Sir James Mackenzie (The Beloved Physician, by R. M. Wilson, John Murray, London)". In addition, on p. 366 of "The Accident Prevention Problem in the Small Shop" in Safety Engineering Vol. 33 (1950), Earl B. Morgan wrote: <blockquote>First, it is ridiculed; second, it is subject to argument: third, it is accepted.</blockquote>
A similar quote is also often attributed to Arthur Schopenhauer but this is likely incorrect since it does not appear in any of his published writings.
“These systems can be studied from a syntactic, a semantic, or a pragmatic point of view.”
[O] : Introduction, 0.4
Semiotics and the Philosophy of Language (1984)
Context: A specific semiotics is, or aims at being, the 'grammar' of a particular sign system, and proves to be successful insofar as it describes a given field of communicative phenomena as ruled by a system of signification. Thus there are 'grammars' of the American Sign Language, of traffic signals, of a playing-card 'matrix' for different games or of a particular game (for instance, poker). These systems can be studied from a syntactic, a semantic, or a pragmatic point of view.