Mathematics is an experimental science, and definitions do not come first, but later on.

...there is no absolute scale of size in nature, and the small may be as important, or more so than the great.

Euclid for children is barbarous.

Mathematics is an experimental science, and definitions do not come first, but later on.

Waves from moving sources: Adagio. Andante. Allegro moderato.

Ohm (a distinguished mathematician, be it noted) brought into order a host of puzzling facts connecting electromotive force and electric current in conductors, which all previous electricians had only succeeded in loosely binding together qualitatively under some rather vague statements. Even as late as 20 years ago, "quantity" and "tension" were much used by men who did not fully appreciate Ohm's law.

However absurd it may seem, I do in all seriousness hereby declare that I am animated mainly by philanthropic motives. I desire to do good to my fellow creatures, even to the Cui bonos.