In practical matters the end is not mere speculative knowledge of what is to be done, but rather the doing of it. It is not enough to know about Virtue, then, but we must endeavor to possess it, and to use it, or to take any other steps that may make.
And what has come to prevail in democracies is the very reverse of beneficial, in those, that is, which are regarded as the most democratically run. The reason for this lies in the failure properly to define liberty. For there are two marks by which democracy is thought to be defined: "sovereignty of the majority" and "liberty." "Just" is equated with what is equal, and the decision of the majority as to what is equal is regarded as sovereign; and liberty is seen in terms of doing what one wants.
Tools may be animate as well as inanimate; for instance, a ship's captain uses a lifeless rudder, but a living man for watch; for a servant is, from the point of view of his craft, categorized as one of its tools. So any piece of property can be regarded as a tool enabling a man to live, and his property is an assemblage of such tools; a slave is a sort of living piece of property; and like any other servant is a tool in charge of other tools.
If liberty and equality, as is thought by some, are chiefly to be found in democracy, they will be best attained when all persons alike share in government to the utmost.
As the pleasures of the body are the ones which we most often meet with, and as all men are capable of these, these have usurped the family title; and some men think these are the only pleasures that exist, because they are the only ones which they know.
There are two distinctive peculiarities by reference to which we characterize the soul (1) local movement and (2) thinking, discriminating, and perceiving. Thinking both speculative and practical is regarded as akin to a form of perceiving; for in the one as well as the other the soul discriminates and is cognizant of something which is.
The so-called Pythagoreans, who were the first to take up mathematics, not only advanced this subject, but saturated with it, they fancied that the principles of mathematics were the principles of all things.