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

Quote by Henri Poincare

Topics: Henri Poincare Quotes

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...

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

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

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

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

Need we add that mathematicians themselves are not infallible?

Need we add that mathematicians themselves are not infallible?

If nature were not beautiful, it would not be worth knowing, and if nature were...

If nature were not beautiful, it would not be worth knowing, and if nature were...

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.

Invention consists in avoiding the constructing of useless contraptions and in constructing the useful combinations...

Invention consists in avoiding the constructing of useless contraptions and in constructing the useful combinations...

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...

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...

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.

If one looks at the different problems of the integral calculus which arise naturally when...

If one looks at the different problems of the integral calculus which arise naturally when...

How is an error possible in mathematics?

How is an error possible in mathematics?

Mathematicians do not study objects, but relations between objects.

Mathematicians do not study objects, but relations between objects.

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.

Geometry is not true, it is advantageous.

Geometry is not true, it is advantageous.

To invent is to discern, to choose.

To invent is to discern, to choose.

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.

Mathematicians are born, not made.

Mathematicians are born, not made.

A very small cause which escapes our notice determines a considerable effect that we cannot...

A very small cause which escapes our notice determines a considerable effect that we cannot...