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Henri Poincaré Quotes

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Henri Poincaré 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.”

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 Poincaré



Henri Poincaré Quote: “It is through science that we prove, but through intuition that we discover.”

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

— Henri Poincaré


Henri Poincaré Quote: “Mathematics is the art of giving the same name to different things.”

Mathematics is the art of giving the same name to different things.

— Henri Poincaré


Henri Poincaré Quote: “Mathematicians are born, not made.”

Mathematicians are born, not made.

— Henri Poincaré


Henri Poincaré Quote: “Geometry is the art of correct reasoning from incorrectly drawn figures.”

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

— Henri Poincaré


Henri Poincaré Quote: “How is error possible in mathematics?”

How is error possible in mathematics?

— Henri Poincaré


Henri Poincaré Quote: “It is far better to foresee even without certainty than not to foresee at all.”

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

— Henri Poincaré


Henri Poincaré Quote: “There are no solved problems; there are only problems that are more or less solved.”

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

— Henri Poincaré


Henri Poincaré Quote: “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.”

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 Poincaré


Henri Poincaré Quote: “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 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 Poincaré



Henri Poincaré Quote: “Doubting everything and believing everything are two equally convenient solutions that guard us from having to think.”

Doubting everything and believing everything are two equally convenient solutions that guard us from having to think.

— Henri Poincaré


Henri Poincaré Quote: “Thought is only a flash between two long nights, but this flash is everything.”

Thought is only a flash between two long nights, but this flash is everything.

— Henri Poincaré


Henri Poincaré Quote: “Intuition is more important to discovery than logic.”

Intuition is more important to discovery than logic.

— Henri Poincaré


Henri Poincaré 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.”

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 Poincaré


Henri Poincaré 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.”

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 Poincaré


Henri Poincaré 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.”

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 Poincaré


Henri Poincaré Quote: “Geometry is not true, it is advantageous.”

Geometry is not true, it is advantageous.

— Henri Poincaré


Henri Poincaré Quote: “What is it indeed that gives us the feeling of elegance in a solution, in a demonstration?”

What is it indeed that gives us the feeling of elegance in a solution, in a demonstration?

— Henri Poincaré


Henri Poincaré 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.”

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 Poincaré


Henri Poincaré Quote: “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.”

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.

— Henri Poincaré



Henri Poincaré Quote: “Most striking at first is the appearance of sudden illumination, a manifest sign of long unconscious prior work.”

Most striking at first is the appearance of sudden illumination, a manifest sign of long unconscious prior work.

— Henri Poincaré


Henri Poincaré Quote: “A small error in the former will produce an enormous error in the latter.”

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

— Henri Poincaré


Henri Poincaré Quote: “Guessing before proving! Need I remind you that it is so that all important discoveries have been made?”

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

— Henri Poincaré


Henri Poincaré Quote: “Point set topology is a disease from which the human race will soon recover.”

Point set topology is a disease from which the human race will soon recover.

— Henri Poincaré


Henri Poincaré Quote: “Every good mathematician should also be a good chess player and vice versa.”

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

— Henri Poincaré


Henri Poincaré Quote: “The mind uses its faculty for creativity only when experience forces it to do so.”

The mind uses its faculty for creativity only when experience forces it to do so.

— Henri Poincaré


Henri Poincaré Quote: “It may happen that small differences in the initial conditions produce very great ones in the final phenomena.”

It may happen that small differences in the initial conditions produce very great ones in the final phenomena.

— Henri Poincaré


Henri Poincaré 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.”

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 Poincaré


Henri Poincaré Quote: “Experiment is the sole source of truth.”

Experiment is the sole source of truth.

— Henri Poincaré


Henri Poincaré Quote: “One geometry cannot be more true than another; it can only be more convenient.”

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

— Henri Poincaré


Henri Poincaré Quote: “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.”

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 Poincaré


Henri Poincaré Quote: “We also know how cruel the truth often is, and we wonder whether delusion is not more consoling.”

We also know how cruel the truth often is, and we wonder whether delusion is not more consoling.

— Henri Poincaré


Henri Poincaré Quote: “Sociology is the science with the greatest number of methods and the least results.”

Sociology is the science with the greatest number of methods and the least results.

— Henri Poincaré


Henri Poincaré Quote: “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.”

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 Poincaré


Henri Poincaré Quote: “Experiment is the sole source of truth. It alone can teach us something new; it alone can give us certainty.”

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

— Henri Poincaré


Henri Poincaré Quote: “Pure logic could never lead us to anything but tautologies; it can create nothing new; not from it alone can any science issue.”

Pure logic could never lead us to anything but tautologies; it can create nothing new; not from it alone can any science issue.

— Henri Poincaré


Henri Poincaré Quote: “A very small cause, which escapes us, determines a considerable effect which we cannot ignore, and we say that this effect is due to chance.”

A very small cause, which escapes us, determines a considerable effect which we cannot ignore, and we say that this effect is due to chance.

— Henri Poincaré


Henri Poincaré Quote: “What is a good definition? For the philosopher or the scientist, it is a definition which applies to all the objects to be defined, and applies only to them; it is that which satisfies the rules of logic. But in education it is not that; it is one that can be understood by the pupils.”

What is a good definition? For the philosopher or the scientist, it is a definition which applies to all the objects to be defined, and applies only to them; it is that which satisfies the rules of logic. But in education it is not that; it is one that can be understood by the pupils.

— Henri Poincaré


Henri Poincaré Quote: “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.”

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.

— Henri Poincaré


Henri Poincaré Quote: “A cat is witty, he has nerve, he knows how to do precisely the right thing at the right moment.”

A cat is witty, he has nerve, he knows how to do precisely the right thing at the right moment.

— Henri Poincaré


Henri Poincaré Quote: “Analyse data just so far as to obtain simplicity and no further.”

Analyse data just so far as to obtain simplicity and no further.

— Henri Poincaré


Henri Poincaré Quote: “Ideas rose in clouds; I felt them collide until pairs interlocked, so to speak, making a stable combination.”

Ideas rose in clouds; I felt them collide until pairs interlocked, so to speak, making a stable combination.

— Henri Poincaré


Henri Poincaré Quote: “Mathematicians do not study objects, but relations between objects.”

Mathematicians do not study objects, but relations between objects.

— Henri Poincaré


Henri Poincaré Quote: “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.”

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.

— Henri Poincaré


Henri Poincaré Quote: “But for harmony beautiful to contemplate, science would not be worth following.”

But for harmony beautiful to contemplate, science would not be worth following.

— Henri Poincaré


Henri Poincaré Quote: “It is not order only, but unexpected order, that has value.”

It is not order only, but unexpected order, that has value.

— Henri Poincaré


Henri Poincaré Quote: “A sane mind should not be guilty of a logical fallacy, yet there are very fine minds incapable of following mathematical demonstrations.”

A sane mind should not be guilty of a logical fallacy, yet there are very fine minds incapable of following mathematical demonstrations.

— Henri Poincaré


Henri Poincaré Quote: “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.”

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.

— Henri Poincaré


Henri Poincaré Quote: “The mathematical facts worthy of being studied are those which, by their analogy with other facts, are capable of leading us to the knowledge of a physical law. They reveal the kinship between other facts, long known, but wrongly believed to be strangers to one another.”

The mathematical facts worthy of being studied are those which, by their analogy with other facts, are capable of leading us to the knowledge of a physical law. They reveal the kinship between other facts, long known, but wrongly believed to be strangers to one another.

— Henri Poincaré


Henri Poincaré Quote: “If we wish to foresee the future of mathematics, our proper course is to study the history and present condition of the science.”

If we wish to foresee the future of mathematics, our proper course is to study the history and present condition of the science.

— Henri Poincaré

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