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

Quote by Henri Poincare

Topics: Henri Poincare Quotes

To invent is to discern, to choose.

To invent is to discern, to choose.

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...

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

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

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...

Facts do not speak.

Facts do not speak.

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.

Need we add that mathematicians themselves are not infallible?

Need we add that mathematicians themselves are not infallible?

No more than these machines need the mathematician know what he does.

No more than these machines need the mathematician know what he does.

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.

Hypotheses are what we lack the least.

Hypotheses are what we lack the least.

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...

Science is facts.

Science is facts.

One would have to have completely forgotten the history of science so as to not...

One would have to have completely forgotten the history of science so as to not...

Mathematicians are born, not made.

Mathematicians are born, not made.

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.

Mathematicians do not study objects, but relations between objects.

Mathematicians do not study objects, but relations between objects.

Geometry is not true, it is advantageous.

Geometry is not true, it is advantageous.

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...

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

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

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...