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    henri poincare Quotes

    Pure logic could never lead us to anything but tautologies; it can create nothing new; not from it alone can any science issue.
    — Henri Poincare
    tags: alone  logic 
     
    One does not ask whether a scientific theory is true, but only whether it is convenient.
    — Henri Poincare
    tags: true 
     
    One geometry cannot be more true than another; it can only be more convenient.
    — Henri Poincare
    tags: true 
     
    Mathematics has a threefold purpose. It must provide an instrument for the study of nature. But this is not all: it has a philosophical purpose, and, I daresay, an aesthetic purpose.
    — Henri Poincare
    The aim of science is not things themselves, as the dogmatists in their simplicity imagine, but the relation between things.
    — Henri Poincare
    It is through science that we prove, but through intuition that we discover.
    — Henri Poincare
    tags: intuition 
     
    A reality completely independent of the spirit that conceives it, sees it, or feels it, is an impossibility. A world so external as that, even if it existed, would be forever inaccessible to us.
    — Henri Poincare
    tags: reality  world  forever  spirit 
     
    There are no solved problems; there are only problems that are more or less solved.
    — Henri Poincare
    tags: problem 
     
    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
    Analyse data just so far as to obtain simplicity and no further.
    — Henri Poincare
    tags: simplicity 
     
    Geometry is the art of correct reasoning from incorrectly drawn figures.
    — Henri Poincare
    Tolstoi explains somewhere in his writings why, in his opinion, "Science for Science's sake" is an absurd conception. We cannot know all the facts since they are infinite in number. We must make a selection ... guided by utility ... Have we not some better occupation than counting the number of lady-birds in existence on this planet?
    — Henri Poincare
    Intuition is more important to discovery than logic.
    — Henri Poincare
    It is far better to foresee even without certainty than not to foresee at all.
    — Henri Poincare
    Every good mathematician should also be a good chess player and vice versa.
    — Henri Poincare
    tags: chess 
     
    Experiment is the sole source of truth. It alone can teach us something new; it alone can give us certainty.
    — Henri Poincare
    tags: truth  alone 
     
    Doubt everything or believe everything: these are two equally convenient strategies. With either we dispense with the need for reflection.
    — 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
    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
    tags: logic  intuition 
     
    Thought must never submit, neither to a dogma, nor to a party, nor to a passion, nor to an interest, nor to a preconceived idea, nor to whatever it may be, save to the facts themselves, because, for thought, submission would mean ceasing to be.
    — Henri Poincare
    tags: thoughts  facts  passion  ideas 
     
    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
    tags: facts 
     
    To invent is to discern, to choose.
    — Henri Poincare
    tags: invent 
     
    In one word, to draw the rule from experience, one must generalize; this is a necessity that imposes itself on the most circumspect observer.
    — Henri Poincare
    tags: experience  rules 
     
    It is not order only, but unexpected order, that has value.
    — Henri Poincare
    tags: value 
     
    Ideas rose in clouds; I felt them collide until pairs interlocked, so to speak, making a stable combination.
    — Henri Poincare
    tags: ideas 
     
    Experiment is the sole source of truth.
    — Henri Poincare
    tags: truth 
     
    But for harmony beautiful to contemplate, science would not be worth following.
    — Henri Poincare
    tags: beautiful  harmony  worth 
     
    Guessing before proving! Need I remind you that it is so that all important discoveries have been made?
    — Henri Poincare
    tags: discovery 
     
    All of mathematics is a tale about groups.
    — Henri Poincare
    tags: mathematics 
     
    All great progress takes place when two sciences come together, and when their resemblance proclaims itself, despite the apparent disparity of their substance.
    — Henri Poincare
    tags: progress 
     
    How is error possible in mathematics?
    — Henri Poincare
    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.
    — Henri Poincare
    Mathematicians do not study objects, but relations between objects.
    — Henri Poincare
    Mathematicians do not deal in objects, but in relations between objects; thus, they are free to replace some objects by others so long as the relations remain unchanged. Content to them is irrelevant: they are interested in form only.
    — Henri Poincare
    The mind uses its faculty for creativity only when experience forces it to do so.
    — Henri Poincare
    ...the feeling of mathematical beauty, of the harmony of numbers and of forms, of geometric elegance. It is a genuinely aesthetic feeling, which all mathematicians know
    — Henri Poincare
    tags: beauty  harmony 
     
    Just as houses are made of stones, so is science made of facts.
    — Henri Poincare
    tags: facts 
     
    Mathematicians are born, not made.
    — Henri Poincare
    All that is not thought is pure nothingness; since we can think only thoughts, and all the words we use to speak of things can express only thoughts, to say there is something other than thought is therefore an affirmation which can have no meaning.
    — Henri Poincare
    tags: thoughts  meaning 
     
    It is by logic we prove. It is by intuition we discover.
    — Henri Poincare
    tags: logic  intuition 
     
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