I had changed from being a mathematician to a practicing scientist. I was increasingly embarassed that I could no longer follow some of the more modern branches of pure mathematics. ↗
Stunted varieties were generally chosen, particularly if they had the side branches opposite or regular, for much depends upon this; a one-sided tree is of no value in the eyes of the Chinese. ↗
This may be done by grafting, by confining the roots, withholding water, bending the branches, or in a hundred other ways which all proceed upon the same principle. ↗
If you look closely at a tree you'll notice it's knots and dead branches, just like our bodies. What we learn is that beauty and imperfection go together wonderfully. ↗
It should seem, then, that the nature of society dictates another, a higher branch, whose superiority arises from its being the interested and natural conservator of the universal interest. ↗
Consequently he who wishes to attain to human perfection, must therefore first study Logic, next the various branches of Mathematics in their proper order, then Physics, and lastly Metaphysics. ↗
The Theory of Groups is a branch of mathematics in which one does something to something and then compares the result with the result obtained from doing the same thing to something else, or something else to the same thing. ↗
