Experiment is the sole source of truth. It alone can teach us something new; it alone can give us certainty.
How is it that there are so many minds that are incapable of understanding mathematics? ... the skeleton of our understanding, ... and actually they are the majority. ... We have here a problem that is not easy of solution, but yet must engage the attention of all who wish to devote themselves to education.
Mathematics is the art of giving the same name to different things.