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Henri Poincaré Quotes

Henri Poincaré quote from classy quote

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

Henri Poincaré Foresight Future History Math Mathematics Present Science Study

How is it that there are so many minds that are incapable of understanding mathematics? ... the skeleton of our understanding, ... and actually they are the majority. ... We have here a problem that is not easy of solution, but yet must engage the attention of all who wish to devote themselves to education.

~ Henri Poincaré

Henri Poincaré Attention Education Majority Math Mathematics Problem Science Skeleton Solution Understanding

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

~ Henri Poincaré

Henri Poincaré Certainty Experiment Novel Science Teach Truth

Pure analysis puts at our disposal a multitude of procedures whose infallibility it guarantees; it opens to us a thousand different ways on which we can embark in all confidence; we are assured of meeting there no obstacles; but of all these ways, which will lead us most promptly to our goal? Who shall tell us which to choose? We need a faculty which makes us see the end from afar, and intuition is this faculty. It is necessary to the explorer for choosing his route; it is not less so to the one following his trail who wants to know why he chose it.

~ Henri Poincaré

Henri Poincaré Analogy Epistemology Ethics Intuition Logic Math Mathematics Moral Opinion Philosophy Physics Science Thought

Consider now the Milky Way. Here also we see an innumerable dust, only the grains of this dust are no longer atoms but stars; these grains also move with great velocities, they act at a distance one upon another, but this action is so slight at great distances that their trajectories are rectilineal; nevertheless, from time to time, two of them may come near enough together to be deviated from their course, like a comet that passed too close to Jupiter. In a word, in the eyes of a giant, to whom our Suns were what our atoms are to us, the Milky Way would only look like a bubble of gas.

~ Henri Poincaré

Henri Poincaré Astronomy Atoms Awe Comet Comparison Cosmology Galaxy Giant Jupiter Milky Way Science Size Stars Suns

Why is it that showers and even storms seem to come by chance, so that many people think it quite natural to pray for rain or fine weather, though they would consider it ridiculous to ask for an eclipse by prayer?

~ Henri Poincaré

Henri Poincaré Chance Eclipse Natural Naturalism Rain Ridiculous Superstition Weather

Physicists believe that the Gaussian law has been proved in mathematics while mathematicians think that it was experimentally established in physics.

~ Henri Poincaré

Henri Poincaré Mathematics Physics

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

~ Henri Poincaré

Henri Poincaré Abstraction Art Mathematics

Science is built of facts the way a house is built of bricks but an accumulation of facts is no more science than a pile of bricks is a house.

~ Henri Poincaré

Henri Poincaré Science Technology

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.

~ Henri Poincaré

Henri Poincaré Earth Know Existence

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 Life Beautiful Living

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 Beautiful Study Useful

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 Work Great Artist

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 Moment Universe Situation

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

~ Henri Poincaré

Henri Poincaré Intuition Prove Through

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 Facts House Stones

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.

~ Henri Poincaré

Henri Poincaré Small Fail See
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