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" By relieving the brain of all unnecessary work, a good notation sets it free to concentrate on more advanced problems, and in effect increases the mental power of the race. "
AN INTRODUCTION TO MATHEMATICS - 59. lappuse
autors: A. N. WHITEHEAD - 1911
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The Monist, 24. sējums

Paul Carus - 1914
...Whitehead's admirable little book entitled An Introduction to Mathematics, the following sentences: "The interesting point to notice is the admirable...problems, and in effect increases the mental power of the race."9 Then again:18 "... .by the aid of symbolism, we can make transitions in reasoning almost mechanically...
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Memorabilia Mathematica; Or, The Philomath's Quotation-book

Robert Édouard Moritz - 1914 - 410 lapas
...— DE MORGAN, A. Calculus of Functions; Encyclopedia Metropolitana, Addition to Article 26. 1217. Before the introduction of the Arabic notation, multiplication...mathematical faculties. Probably nothing in the modern world could have more astonished a Greek mathematician than to learn that, under the influence of compulsory...
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Whitehead, Process Philosophy, and Education

Robert Sherrick Brumbaugh - 1982 - 145 lapas
...history when human genius achieves a level close to that which St. Thomas reserves for angelic teaching. By relieving the brain of all unnecessary work, a...called into play the highest mathematical faculties. . . . So in mathematics, granted that we are giving any serious attention to mathematical ideas, the...
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Advances in Human-computer Interaction, 1. sējums

H. Rex Hartson - 1985 - 296 lapas
...quoted by Iverson in his 1979 ACM Turing Award Lecture (Iverson, 1980, p. 44), AN Whitehead states: "By relieving the brain of all unnecessary work, a...in effect increases the mental power of the race." The cognitive directness of graphical representation is addressed by Shneiderman (1983); he points...
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Order and Organism: Steps Toward a Whiteheadian Philosophy of Mathematics ...

Murray Code - 1985 - 265 lapas
...effort. Whitehead's oft-quoted remarks on the symbolic aspect of mathematics are well worth repeating: By relieving the brain of all unnecessary work, a...problems, and in effect increases the mental power of the race.3 6 Moreover, this capacity to increase the power of thought through formal symbolic manipulations...
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The Influence of Language on Culture and Thought: Essays in Honor of Joshua ...

Joshua A. Fishman - 1991 - 290 lapas
...illustrates an important form of condensation; the philosopher Alfred North Whitehead put it as follows: "By relieving the brain of all unnecessary work, a...in effect, increases the mental power of the race" (quoted in Davis and Hersh 1981: 123-124). A similar increase in the efficiency of thought is provided...
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The Power of Maps

Denis Wood, John Fels - 1992 - 248 lapas
...Pentagon without calculus. As AN Whitehead remarks, appositely enough for both hillsigns and arithmetic: By relieving the brain of all unnecessary work a good...it free to concentrate on more advanced problems. ... By the aid of symbolism, we can make transitions in reasoning almost mechanically by the eye, which...
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A Small Matter of Programming: Perspectives on End User Computing

Bonnie A. Nardi - 1993 - 162 lapas
...people have invented. That is what we shall do in the next chapter. Task-specific Programming Languages By relieving the brain of all unnecessary work, a...it free to concentrate on more advanced problems. —A. Whitehead, An Introduction to Mathematics FORMAL SYSTEMS: SOME BACKGROUND In 1979, as part of...
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Scientific Style and Format: The CBE Manual for Authors, Editors, and Publishers

Council of Biology Editors. Style Manual Committee, CBE Style Manual Committee, Edward J. Huth, Centre Balears Europa. Style Manual Committee, Council of Biology Editors - 1994 - 825 lapas
...SCIENCE 2-2-2-4 SCIENTIFIC STYLE MANUALS 2-5 THE FUTURE OF SCIENTIFIC STYLE 2-6 A NOTE ON SOURCES 2-7 By relieving the brain of all unnecessary work, a...in effect increases the mental power of the race. . . . Civilization advances by extending the number of important operations which we can perform without...
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The Mathematical Experience: Study Edition

Philip J. Davis, Reuben Hersh, Elena Anne Marchisotto - 1995 - 488 lapas
...with precision and clarity and to abbreviate. The reward is that, as Alfred North Whitehead put it, "by relieving the brain of all unnecessary work, a...in effect, increases the mental power of the race." In point of fact, without the process of abbreviation, mathematical discourse is hardly possible. Consider,...
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