Now, in the development of our knowledge of the workings of Nature out of the tremendously complex assemblage of phenomena presented to the scientifi….

Euclid for children is barbarous..

We do not dwell in the Palace of Truth. But, as was mentioned to me not long since, "There is a time coming when all things shall be found out." I am….

Mathematics is of two kinds, Rigorous and Physical. The former is Narrow: the latter Bold and Broad. To have to stop to formulate rigorous demonstrat….

Criticized for using formal mathematical manipulations, without understanding how they worked: Should I refuse a good dinner simply because I do not ….

The best result of mathematics is to be able to do without it..

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

It is shocking that young people should be addling their brains over mere logical subtleties in Euclid's Elements, trying to understand the proof of ….

Theory is the essence of facts. Without theory scientific knowledge would be only worthy of the madhouse..

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 fell….

Facts are of not much use, considered as facts. They bewilder by their number and their apparent incoherency. Let them be digested into theory, howev….

Ohm (a distinguished mathematician, be it noted) brought into order a host of puzzling facts connecting electromotive force and electric current in c….

Electric and magnetic forces. May they live for ever, and never be forgot, if only to remind us that the science of electromagnetics, in spite of the….

If it is love that makes the world go round, it is self-induction that makes electromagnetic waves go round the world..

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..

Shall I refuse my dinner because I do not fully understand the process of digestion?.

Logic can be patient, for it is eternal..

Why should I refuse a good dinner simply because I don't understand the digestive processes involved?.