Guessing before proving! Need I remind you that it is so that all important discoveries have been made?

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

One does not ask whether a scientific theory is true, but only whether it is convenient.

If we ought not to fear mortal truth, still less should we dread scientific truth. In the first place it can not conflict with ethics? But if science is feared, it is above all because it can give no happiness? Man, then, can not be happy through science but today he can much less be happy without it.

Hypotheses are what we lack the least.

Every good mathematician should also be a good chess player and vice versa.

Intuition is more important to discovery than logic.