Henri Poincare Quotes

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

Science, Through, Intuition

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

Mind, Guilty, Minds

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

Human, Point, Race

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

Science, House, Facts

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

Nature, Beautiful, Study

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

Small, Error, Former

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

Life, Nature, Beautiful

Invention consists in avoiding the constructing of useless contraptions and in constructing the useful combinations which are in infinite minority.
Henri Poincare

Useful, Useless, Avoiding

Mathematicians are born, not made.
Henri Poincare

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

Long, Thought, Two

To doubt everything, or, to believe everything, are two equally convenient solutions; both dispense with the necessity of reflection.
Henri Poincare

Doubt, Two, Reflection

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 Poincare

Small, Cannot, Chance

Facts do not speak.
Henri Poincare

Geometry is not true, it is advantageous.
Henri Poincare

How is an error possible in mathematics?
Henri Poincare

Possible, Error

Hypotheses are what we lack the least.
Henri Poincare

Lack, Hypotheses

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

Speak, Making, Until

In the old days when people invented a new function they had something useful in mind.
Henri Poincare

Mind, Old, Days

It has adopted the geometry most advantageous to the species or, in other words, the most convenient.
Henri Poincare

Words, Geometry, Adopted

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

Far, Certainty, Foresee

Just as houses are made of stones, so is science made of facts.
Henri Poincare

Science, Facts, Houses

Mathematical discoveries, small or great are never born of spontaneous generation.
Henri Poincare

Great, Small, Born

Mathematicians do not study objects, but relations between objects.
Henri Poincare

Study, Between, Relations

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

Art, Giving, Different

Need we add that mathematicians themselves are not infallible?
Henri Poincare

Themselves, Add, Infallible

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Biography

Nationality: French

Type: Mathematician

Born: April 29, 1854

Died: July 17, 1912

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