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Obvious is the most dangerous word in mathematics.

Eric Temple Bell

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Eric Temple Bell
Age: 77 †
Born: 1883
Born: February 7
Died: 1960
Died: December 21
Historian Of Mathematics
Mathematician
Novelist
Science Fiction Writer
Writer
John Taine
Dangerous
Word
Arithmetic
Knowledge
Sensual
Science
Mathematical
Math
Logic
Mathematics
Obvious

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Even stranger things have happened and perhaps the strangest of all is the marvel that mathematics should be possible to a race akin to the apes.
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The only royal road to elementary geometry is ingenuity.
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Galois read the geometry from cover to cover as easily as other boys read a pirate yarn.
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It is the perennial youthfulness of mathematics itself which marks it off with a disconcerting immortality from the other sciences.
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Time makes fools of us all. Our only comfort is that greater shall come after us.
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Nevertheless, the consuming hunger of the uncritical mind for what it imagines to be certainty or finality impels it to feast upon shadows in the prevailing famine of substance.
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The full impact of the Lobachevskian method of challenging axioms has probably yet to be felt. It is no exaggeration to call Lobachevsky the Copernicus of Geometry [as did Clifford], for geometry is only a part of the vaster domain which he renovated it might even be just to designate him as a Copernicus of all thought.
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Pick the assumptions to pieces till the stuff they are made of is exposed to plain view - this is the cardinal rule for understanding the basis of our beliefs.
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The pursuit of pretty formulas and neat theorems can no doubt quickly degenerate into a silly vice, but so can the quest for austere generalities which are so very general indeed that they are incapable of application to any particular.
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Poincaré was a vigorous opponent of the theory that all mathematics can be rewritten in terms of the most elementary notions of classical logic something more than logic, he believed, makes mathematics what it is.
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Archimedes, Newton, and Gauss, these three, are in a class by themselves among the great mathematicians, and it is not for ordinary mortals to attempt to range them in order of merit.
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Science makes no pretension to eternal truth or absolute truth.
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Guided only by their feeling for symmetry, simplicity, and generality, and an indefinable sense of the fitness of things, creative mathematicians now, as in the past, are inspired by the art of mathematics rather than by any prospect of ultimate usefulness.
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Fashion as King is sometimes a very stupid ruler.
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Wherever groups disclosed themselves, or could be introduced, simplicity crystallized out of comparative chaos.
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Any impatient student of mathematics or science or engineering who is irked by having algebraic symbolism thrust upon him should try to get along without it for a week.
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If Number rules the universe as Pythagoras asserted, Number is merely our delegate to the throne, for we rule Number.
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