Henri Poincare Quotes

Quotes about:

• 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

  Math, Intuition, Logic

  Henri Poincare (2012). “The Value of Science: Essential Writings of Henri Poincare”, p.746, Modern Library

  73 Copy quote

• 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

  Beautiful, Math, Science

  Henri Poincare (2012). “The Value of Science: Essential Writings of Henri Poincare”, p.318, Modern Library

  55 Copy quote

• It is with logic that one proves; it is with intuition that one invents.

  Henri Poincare

  Intuition, Logic, Prove It

  8 Copy quote

• Science is built up with 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

  Science, House, Stones

  "Science and Hypothesis". Book by Henri Poincaré, translated by George Bruce Halsted. Chapter IX: "Hypotheses in Physics", 1913.

  8 Copy quote

• Doubt everything or believe everything: these are two equally convenient strategies. With either we dispense with the need for reflection.

  Henri Poincare

  Believe, Science, Reflection

  52 Copy quote

• There are no solved problems; there are only problems that are more or less solved.

  Henri Poincare

  Knowledge, Math, Ontology

  56 Copy quote

• Geometry is the art of correct reasoning from incorrectly drawn figures.

  Henri Poincare

  Art, Math, Figures

  28 Copy quote

• 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

  Teaching, Long, Important

  34 Copy quote

• Experiment is the sole source of truth. It alone can teach us something new; it alone can give us certainty.

  Henri Poincare

  Truth, Teaching, Science

  The Foundations of Science Science and Hypothesis (p. 127)

  19 Copy quote

• It is far better to foresee even without certainty than not to foresee at all.

  Henri Poincare

  Absolute Certainty, Certainty, Foreseeing

  The Foundations of Science Science and Hypothesis (p. 129)

  27 Copy quote

• Mathematicians are born, not made.

  Henri Poincare

  Math, Born, Made

  17 Copy quote

• Intuition is more important to discovery than logic.

  Henri Poincare

  Discovery, Intuition, Important

  22 Copy quote

• 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

  Party, Passion, Mean

  Speech at the University of Brussels during the festival for the 75th anniversary of the university's foundation, November 19, 1909.

  18 Copy quote

• Guessing before proving! Need I remind you that it is so that all important discoveries have been made?

  Henri Poincare

  Science, Discovery, Important

  9 Copy quote

• Often when works at a hard question, nothing good is accomplished at the first attack. Then one takes a rest, long or short, and sits down anew to the work. During the first half-hour, as before, nothing is found, and then all of a sudden the decisive idea presents itself to the mind.

  Henri Poincare

  Ideas, Long, Mind

  11 Copy quote

• Chance ... must be something more than the name we give to our ignorance.

  Henri Poincare

  Ignorance, Science, Names

  Henri Poincare (2012). “The Value of Science: Essential Writings of Henri Poincare”, p.666, Modern Library

  4 Copy quote

• A small error in the former will produce an enormous error in the latter.

  Henri Poincare

  Errors, Produce, Latter

  9 Copy quote

• 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

  Beautiful, Nature, Knowing

  Henri Poincare (2012). “The Value of Science: Essential Writings of Henri Poincare”, p.318, Modern Library

  34 Copy quote

• Every good mathematician should also be a good chess player and vice versa.

  Henri Poincare

  Science, Player, Vices

  Henri Poincare (2012). “The Value of Science: Essential Writings of Henri Poincare”, p.642, Modern Library

  26 Copy quote

• 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

  People, Mind, Ontology

  5 Copy quote

• One geometry cannot be more true than another; it can only be more convenient.

  Henri Poincare

  Mathematics, Geometry, Convenient

  Henri Poincare (2012). “The Value of Science: Essential Writings of Henri Poincare”, p.85, Modern Library

  27 Copy quote

• It is through science that we prove, but through intuition that we discover.

  Henri Poincare

  Creativity, Science, Intuition

  "Atlas of the Poetic Continent: Pathways in Ecological Citizenship". Book by Shelley Sacks, Wolfgang Zumdick, p. 60, 2013.

  31 Copy quote

• Mathematicians do not study objects, but the relations between objects.

  Henri Poincare

  Study, Relation, Mathematician

  "The Value of Science: Essential Writings of Henri Poincare".

  15 Copy quote

• 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

  Nature, Philosophical, Science

  20 Copy quote

• Mathematical discoveries, small or great are never born of spontaneous generation They always presuppose a soil seeded with preliminary knowledge and well prepared by labour, both conscious and subconscious.

  Henri Poincare

  Math, Discovery, Preparation

  8 Copy quote

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