“The true Logic for this world is the Calculus of Probabilities, which takes account of the magnitude of the probability.”

It is a universal condition of the enjoyable that the mind must believe in the existence of a law, and yet have a mystery to move about in.

Mathematicians may flatter themselves that they possess new ideas which mere human language is as yet unable to express. Let them make the effort to express these ideas in appropriate words without the aid of symbols, and if they succeed they will not only lay us laymen under a lasting obligation.

But I think that the results which each man arrives at in his attempts to harmonize his science with his Christianity ought not to be regarded as having any significance except to the man himself, and to him only for a time, and should not receive the stamp of a society.

All the mathematical sciences are founded on relations between physical laws and laws of numbers, so that the aim of exact science is to reduce the problems of nature to the determination of quantities by operations with numbers.

What’s the go of that? What’s the particular go of that?

In fact, whenever energy is transmitted from one body to another in time, there must be a medium or substance in which the energy exists after it leaves one body and before it reaches the other … and if we admit this medium as an hypothesis.

The only laws of matter are those that our minds must fabricate and the only laws of mind are fabricated for it by matter.

Gin a body meet a body Flyin’ through the air, Gin a body hit a body, Will it fly? and where?

Ampere was the Newton of Electricity.

The mind of man has perplexed itself with many hard questions. Is space infinite, and in what sense? Is the material world infinite in extent, and are all places within that extent equally full of matter? Do atoms exist or is matter infinitely divisible?

Francis Galton, whose mission it seems to be to ride other men’s hobbies to death, has invented the felicitous expression ‘structureless germs’.

But that we may find illustrations of the highest doctrines of science in games and gymnastics, in travelling by land and by water, in storms of the air and of the sea, and wherever there is matter in motion.

The University of Cambridge, in accordance with that law of its evolution, by which, while maintaining the strictest continuity between the successive phases of its history, it adapts itself with more or less promptness to the requirements of the times, has lately instituted a course of Experimental Physics.

I think men of science as well as other men need to learn from Christ, and I think Christians whose minds are scientific are bound to study science that their view of the glory of God may be as extensive as their being is capable.

I have been battering away at Saturn, returning to the charge every now and then. I have effected several breaches in the solid ring, and now I am splash into the fluid one, amid a clash of symbols truly astounding.

Faraday is, and must always remain, the father of that enlarged science of electromagnetism.

As you will find in multivariable calculus, there is often a number of solutions for any given problem.

Aerodynamics is mathematics for those who haven’t learned to do calculus. In my case, too, for one who hasn’t learned to add or multiply, at least the first time.