Sublime

Pythagoras, as everyone knows, said that “all things are numbers.” This statement, interpreted in a modern way, is logically nonsense, but what he meant was not exactly nonsense. He discovered the importance of numbers in music, and the connection which he established between music and arithmetic survives in the mathematical terms “ harmonic mean”

Philosophy, as I shall understand the word, is something intermediate between theology and science. Like theology, it consists of speculations on matters as to which definite knowledge has, so far, been unascertainable; but like science, it appeals to human reason rather than to authority, whether that of tradition or that of revelation.

Bacon was the first of the long line of scientifically minded philosophers who have emphasized the importance of induction as opposed to deduction. Like most of his successors, he tried to find some better kind of induction than what is called “induction by simple enumeration.” Induction by simple enumeration may be illustrated by a parable. There

A government is good when it aims at the good of the whole community, bad when it cares only for itself. There are three kinds of government that are good: monarchy, aristocracy, and constitutional government (or polity); there are three that are bad: tyranny, oligarchy, and democracy.