...life" (MS 436 [1898]). 33 Certainly, any mathematician or logician would agree with Whitehead that, "by relieving the brain of all unnecessary work, a good notation sets us free to concentrate on more advanced problems, and in effect increases the mental power of the race."34...

...treatises on the subject. First. Descartes would have applauded Alfred North Whitehead's statement that "by relieving the brain of all unnecessary work, a...and, in effect, increases the mental power of the race."8 In the Regulae — which, in rules 16 through 21, is partially parallel to the Geometry —...

...in the unsolved puzzle? Does your path enclose the largest possible area of cave?" Q* 102 Rat Attack By relieving the brain of all unnecessary work, a...in effect, increases the mental power of the race. - Alfred North Whitehead, in P. Davis and R. Hersh, The Mathematical Experience . he trochophore party...

...== I'ma Dot in Place 2. Eleven plus two = Twelve plus one 3. The Morse code == Here come dots [706] 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...

...SYSTEM 'The interesting point to notice is the admirable illustration which this numeral system aifords of the enormous importance of a good notation. By...free to concentrate on more advanced problems, and in eifect increases the mental power of the race.' AN WHTTEHEAD in An Introduction to Mathematics IT is...

...genannt, so hätte von einer solchen Dunkelheit kaum die Rede sein können,Carl Friedrich Gauß (1831) 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 [. . . ] a large proportion of...

...the advantages of formalization. He stressed its usefulness in enhancing economy of mental efforts: "By relieving the brain of all unnecessary work, a...in effect increases the mental power of the race." Again, it is hard to see why this advantage of economizing our rational powers should end at the entrance...

...from arithmetic— a clear hint this for teachers." 721. AN Whitchead? writes on the power of symbols: "By relieving the brain of all unnecessary work, a...power of the race. Before the introduction of the 'E. Mach, Space and Geometry (trans. TJ McConnaek, 1906), p. 103, 104. 'Benchara Branford, A Study...

...Leibniz's use of mathematical symbols. See also the long quotation from AN Whitehead on pp. 332-33 ("By relieving the brain of all unnecessary work,...and in effect increases the mental power of the race . . . Civilization advances by extending the number of important operations which we can perform without...

...Whitehead, who helped develop the new logical symbolism early in the 20th century, put it this way: "By relieving the brain of all unnecessary work, a...problems, and in effect increases the mental power of the race."9 Through the use of formal logic we can identify various forms of argument and test their validity....