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

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...

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...

Facts do not speak.

Facts do not speak.

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.

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...

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...

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.

Geometry is not true, it is advantageous.

Geometry is not true, it is advantageous.

Science is facts.

Science is facts.

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.

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...

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 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.

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

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

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

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...

Mathematicians do not study objects, but relations between objects.

Mathematicians do not study objects, but relations between objects.

Need we add that mathematicians themselves are not infallible?

Need we add that mathematicians themselves are not infallible?

The mind uses its faculty for creativity only when experience forces it to do so.

The mind uses its faculty for creativity only when experience forces it to do so.

Hypotheses are what we lack the least.

Hypotheses are what we lack the least.