Hypotheses are what we lack the least.

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

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

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

It may happen that small differences in the initial conditions produce very great ones in the final phenomena. A small error in the former will produce an enormous error in the later. Prediction becomes impossible, and we have the fortuitous phenomena.

Point set topology is a disease from which the human race will soon recover.

The aim of science is not things themselves, as the dogmatists in their simplicity imagine, but the relation between things.