How is an error possible in mathematics?

Quote by Henri Poincare

Topics: Henri Poincare Quotes

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...

Mathematicians do not study objects, but relations between objects.

Mathematicians do not study objects, but relations between objects.

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

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

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...

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...

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.

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

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.

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...

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...

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...

Science is facts.

Science is facts.

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.

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.

Need we add that mathematicians themselves are not infallible?

Need we add that mathematicians themselves are not infallible?

To invent is to discern, to choose.

To invent is to discern, to choose.

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...

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...

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

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

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.