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.

Quote by Henri Poincare

Topics: Henri Poincare Quotes

Thus, they are free to replace some objects by others so long as the relations...

Thus, they are free to replace some objects by others so long as the relations...

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

The mathematical facts worthy of being studied are those which, by their analogy with other...

The mathematical facts worthy of being studied are those which, by their analogy with other...

To doubt everything, or, to believe everything, are two equally convenient solutions; both dispense with...

To doubt everything, or, to believe everything, are two equally convenient solutions; both dispense with...

Hypotheses are what we lack the least.

Hypotheses are what we lack the least.

If that enabled us to predict the succeeding situation with the same approximation, that is...

If that enabled us to predict the succeeding situation with the same approximation, that is...

A scientist worthy of his name, about all a mathematician, experiences in his work the...

A scientist worthy of his name, about all a mathematician, experiences in his work the...

A sane mind should not be guilty of a logical fallacy, yet there are very...

A sane mind should not be guilty of a logical fallacy, yet there are very...

Facts do not speak.

Facts do not speak.

Absolute space, that is to say, the mark to which it would be necessary to...

Absolute space, that is to say, the mark to which it would be necessary to...

Science is built up of facts, as a house is with stones. But a collection...

Science is built up of facts, as a house is with stones. But a collection...

If we knew exactly the laws of nature and the situation of the universe at...

If we knew exactly the laws of nature and the situation of the universe at...

The scientist does not study nature because it is useful; he studies it because he...

The scientist does not study nature because it is useful; he studies it because he...

How is an error possible in mathematics?

How is an error possible in mathematics?

Need we add that mathematicians themselves are not infallible?

Need we add that mathematicians themselves are not infallible?

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.

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.

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.

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.

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.