Quotes by Eric Temple Bell - Page 1

Fashion as King is sometimes a very stupid ruler.
Eric Temple Bell / Mathematician
Kings
Fashion
Sometimes
Stupid
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Obvious is the most dangerous word in mathematics.
Eric Temple Bell / Mathematician
Knowledge
Science
Math
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The only royal road to elementary geometry is ingenuity.
Eric Temple Bell / Mathematician
Science
Geometry
Royal
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Science makes no pretension to eternal truth or absolute truth.
Eric Temple Bell / Mathematician
Absolute Truth
Eternal
Pretension
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Time makes fools of us all. Our only comfort is that greater shall come after us.
Eric Temple Bell / Mathematician
Comfort
Fool
Greater
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Galois read the geometry from cover to cover as easily as other boys read a pirate yarn.
Eric Temple Bell / Mathematician
Science
Boys
Teenager
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The longer mathematics lives the more abstract - and therefore, possibly also the more practical - it becomes.
Eric Temple Bell / Mathematician
Life
Individualism
Mathematics
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Wherever groups disclosed themselves, or could be introduced, simplicity crystallized out of comparative chaos.
Eric Temple Bell / Mathematician
Groups
Simplicity
Statistics
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Euclid taught me that without assumptions there is no proof. Therefore, in any argument, examine the assumptions.
Eric Temple Bell / Mathematician
Intelligence
Assumption
Math
Taught
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I have always hated machinery, and the only machine I ever understood was a wheelbarrow, and that but imperfectly.
Eric Temple Bell / Mathematician
Machines
Math
Understanding
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The mistakes and unresolved difficulties of the past in mathematics have always been the opportunities of its future...
Eric Temple Bell / Mathematician
Opportunity
Mistake
Past
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If "Number rules the universe" as Pythagoras asserted, Number is merely our delegate to the throne, for we rule Number.
Eric Temple Bell / Mathematician
Math
Numbers
Thrones
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It is the perennial youthfulness of mathematics itself which marks it off with a disconcerting immortality from the other sciences.
Eric Temple Bell / Mathematician
Graphic Design
Immortality
Mathematics
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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.
Eric Temple Bell / Mathematician
Apes
Math
Race
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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.
Eric Temple Bell / Mathematician
Pieces
Understanding
Views
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Had Poincaré been as strong in practical science as he was in theoretical he might have made a fourth with the incomparable three, Archimedes, Newton, and Gauss.
Eric Temple Bell / Mathematician
Might
Strong
Three
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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.
Eric Temple Bell / Mathematician
Engineering
Symbolism
Trying
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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.
Eric Temple Bell / Mathematician
Imagination
Mind
Shadow
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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.
Eric Temple Bell / Mathematician
Class
Order
Ordinary
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If a lunatic scribbles a jumble of mathematical symbols it does not follow that the writing means anything merely because to the inexpert eye it is indistinguishable from higher mathematics.
Eric Temple Bell / Mathematician
Eye
Mean
Writing
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If indeed, as Hilbert asserted, mathematics is a meaningless game played with meaningless marks on paper, the only mathematical experience to which we can refer is the making of marks on paper.
Eric Temple Bell / Mathematician
Games
Mathematics
Paper
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The very basis of creative work is irreverence! The very basis of creative work is bold experimentation. There has never been a creator of lasting importance who has not also been an innovator.
Eric Temple Bell / Mathematician
Creative
Importance
Irreverence
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Abstractness, sometimes hurled as a reproach at mathematics, is its chief glory and its surest title to practical usefulness. It is also the source of such beauty as may spring from mathematics.
Eric Temple Bell / Mathematician
Beauty
Math
Spring
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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.
Eric Temple Bell / Mathematician
Logic
Mathematics
Opponents
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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.
Eric Temple Bell / Mathematician
Doubt
Math
Silly
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Poincaré [was] the last man to take practically all mathematics, pure and applied, as his province. ... Few mathematicians have had the breadth of philosophic vision that Poincaré had, and none in his superior in the gift of clear exposition.
Eric Temple Bell / Mathematician
Men
Lasts
Vision
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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.
Eric Temple Bell / Mathematician
Art
Inspiration
Past
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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.
Eric Temple Bell / Mathematician
Science
Challenges
Impact
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In his wretched life of less than twenty-seven years Abel accomplished so much of the highest order that one of the leading mathematicians of the Nineteenth Century could say without exaggeration, "Abel has left mathematicians enough to keep them busy for five hundred years." Asked how he had done all this in the six or seven years of his working life, Abel replied, "By studying the masters, not the pupils."
Eric Temple Bell / Mathematician
Abel
Order
Seven Years
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A number of aspects of mathematics are not much talked about in contemporary histories of mathematics. We have in mind business and commerce, war, number mysticism, astrology, and religion. In some instances, writers, hoping to assert for mathematics a noble parentage and a pure scientific experience, have turned away their eyes. Histories have been eager to put the case for science, but the Handmaiden of the Sciences has lived a far more raffish and interesting life than her historians allow.
Eric Temple Bell / Mathematician
Math
Mathematical
Mathematics
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