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All Quotes by author - Henri Poincare
" Absolute space, that is to say, the mark to which it would be necessary to refer the earth to know whether it really moves, has no objective existence. "
Earth
Mark
Space
" A sane mind should not be guilty of a logical fallacy, yet there are very fine minds incapable of following mathematical demonstrations. "
Sane
Logical
Guilty
" A scientist worthy of his name, about all a mathematician, experiences in his work the same impression as an artist; his pleasure is as great and of the same nature. "
Artist
Work
Same
" A small error in the former will produce an enormous error in the latter. "
Error
Will
Produce
" A very small cause which escapes our notice determines a considerable effect that we cannot fail to see, and then we say that the effect is due to chance. "
Fail
Small
See
" Facts do not speak. "
Facts
Speak
" Geometry is not true, it is advantageous. "
True
Geometry
" How is an error possible in mathematics? "
Error
Possible
Mathematics
" Hypotheses are what we lack the least. "
Least
Hypotheses
Lack
" Ideas rose in clouds; I felt them collide until pairs interlocked, so to speak, making a stable combination. "
Rose
Pairs
Ideas
" If nature were not beautiful, it would not be worth knowing, and if nature were not worth knowing, life would not be worth living. "
Worth
Life
Beautiful
" If one looks at the different problems of the integral calculus which arise naturally when one wishes to go deep into the different parts of physics, it is impossible not to be struck by the analogies existing. "
Go
Problems
Physics
" If that enabled us to predict the succeeding situation with the same approximation, that is all we require, and we should say that the phenomenon had been predicted, that it is governed by the laws. "
Predict
Same
Laws
" If we knew exactly the laws of nature and the situation of the universe at the initial moment, we could predict exactly the situation of the same universe at a succeeding moment. "
Nature
Universe
Moment
" In the old days when people invented a new function they had something useful in mind. "
Old Days
Days
Mind
" Invention consists in avoiding the constructing of useless contraptions and in constructing the useful combinations which are in infinite minority. "
Useless
Minority
Infinite
" It has adopted the geometry most advantageous to the species or, in other words, the most convenient. "
Geometry
Words
Most
" It is far better to foresee even without certainty than not to foresee at all. "
Better
Certainty
Far
" It is the harmony of the diverse parts, their symmetry, their happy balance; in a word it is all that introduces order, all that gives unity, that permits us to see clearly and to comprehend at once both the ensemble and the details. "
Unity
Happy
Balance
" It is through science that we prove, but through intuition that we discover. "
Prove
Through
Science
" Just as houses are made of stones, so is science made of facts. "
Houses
Science
Stones
" Mathematical discoveries, small or great are never born of spontaneous generation. "
Great
Never
Born
" Mathematicians are born, not made. "
Made
Mathematicians
Born
" Mathematicians do not study objects, but relations between objects. "
Objects
Study
Mathematicians
" Mathematics is the art of giving the same name to different things. "
Same
Name
Mathematics
" Need we add that mathematicians themselves are not infallible? "
Infallible
Mathematicians
Need
" No more than these machines need the mathematician know what he does. "
Machines
More
Need
" One would have to have completely forgotten the history of science so as to not remember that the desire to know nature has had the most constant and the happiest influence on the development of mathematics. "
Science
Nature
Mathematics
" Point set topology is a disease from which the human race will soon recover. "
Disease
Race
Soon
" Science is built up of facts, as a house is with stones. But a collection of facts is no more a science than a heap of stones is a house. "
Science
Stones
Up
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