Henri Poincare Quotes and Sayings  Page 1
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“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.”
 Henri Poincare 
“The scientist does not study nature because it is useful; he studies it because he delights in it, and he delights in it because it is beautiful.”
 Henri Poincare 
“Doubt everything or believe everything: these are two equally convenient strategies. With either we dispense with the need for reflection.”
 Henri Poincare 
“It is through science that we prove, but through intuition that we discover.”
 Henri Poincare 
“The mind uses its faculty for creativity only when experience forces it to do so.”
 Henri Poincare 
“If nature were not beautiful, it would not be worth knowing, and if nature were not worth knowing, life would not be worth living”
 Henri Poincare 
“Mathematical discoveries, small or great are never born of spontaneous generation.”
 Henri Poincare 
“It is by logic that we prove, but by intuition that we discover. To know how to criticize is good, to know how to create is better.”
 Henri Poincare 
“It is by logic we prove. It is by intuition we discover.”
 Henri Poincare 
“Mathematicians do not study objects, but relations between objects.”
 Henri Poincare 
“Mathematics is the art of giving the same name to different things. [As opposed to the quotation: Poetry is the art of giving different names to the same thing].”
 Henri Poincare 
“A sane mind should not be guilty of a logical fallacy, yet there are very fine minds incapable of following mathematical demonstrations.”
 Henri Poincare 
“There are no solved problems; there are only problems that are more or less solved.”
 Henri Poincare 
“The subliminal self is in no way inferior to the conscious self. It knows how to choose and to divine.”
 Henri Poincare 
“To invent is to discern, to choose.”
 Henri Poincare 
“Mathematicians do not study objects, but relations among objects; they are indifferent to the replacement of objects by others as long the relations don't change. Matter is not important, only form interests them.”
 Henri Poincare 
“Deviner avant de démontrer! Aije besoin de rappeler que c'est ainsi que se sont faites toutes les découvertes importantes.”
 Henri Poincare 
“It may happen that small differences in the initial conditions produce very great ones in the final phenomena. A small error in the former will produce an enormous error in the later. Prediction becomes impossible, and we have the fortuitous phenomena.”
 Henri Poincare 
“Just as houses are made of stones, so is science made of facts.”
 Henri Poincare 
“Doubting everything and believing everything are two equally convenient solutions that guard us from having to think”
 Henri Poincare 
“Mathematics is the art of giving the same name to different things.”
 Henri Poincare 
“If we wish to foresee the future of mathematics, our proper course is to study the history and present condition of the science.”
 Henri Poincare 
“For a long time the objects that mathematicians dealt with were mostly illdefined; one believed one knew them, but one represented them with the senses and imagination; but one had but a rough picture and not a precise idea on which reasoning could take hold.”
 Henri Poincare 
“A first fact should surprise us, or rather would surprise us if we were not used to it. How does it happen there are people who do not understand mathematics? If mathematics invokes only the rules of logic, such as are accepted by all normal minds...how does it come about that so many persons are here refractory?”
 Henri Poincare 
“One does not ask whether a scientific theory is true, but only whether it is convenient.”
 Henri Poincare 
“Need we add that mathematicians themselves are not infallible?”
 Henri Poincare 
“In the old days when people invented a new function they had something useful in mind.”
 Henri Poincare 
“One geometry cannot be more true than another; it can only be more convenient.”
 Henri Poincare 
“The task of the educator is to make the child's spirit pass again where its forefathers have gone, moving rapidly through certain stages but suppressing none of them. In this regard, the history of science must be our guide.”
 Henri Poincare