 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 - 41. lappuseautors: Alfred North Whitehead - 1911 - 256 lapasPilnskats - Par šo grāmatu
 | Paul Carus - 1914 - 666 lapas
...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... | |
 | Robert Édouard Moritz - 1914 - 434 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... | |
 | Murray Code - 1985 - 280 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... | |
 | Joshua A. Fishman - 1991 - 306 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... | |
 | Denis Wood, John Fels - 1992 - 260 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... | |
 | Bonnie A. Nardi - 1993 - 196 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... | |
 | CBE Style Manual Committee - 1994 - 854 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... | |
 | Philip J. Davis, Reuben Hersh, Elena Anne Marchisotto - 1995 - 520 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,... | |
 | John D. Williams - 1995 - 308 lapas
...new notation. The philosopher Alfred Whitehead said in his 1911 book An Introduction to Mathematics "By relieving the brain of all unnecessary work, a...on more advanced problems, and in effect increases . . . mental power." Grady Booch, in his book Object Oriented Design with Applications said that "designing... | |
 | N. Shankar - 1997 - 224 lapas
...important for proofs in metamathematics. Chapter 6 A Mechanical Proof of the Church—Rosser Theorem By relieving the brain of all unnecessary work, a...in effect increases the mental power of the race. AN Whitehead [Whi58] The Church-Rosser theorem is a central metamathematical result about the lambda... | |
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