The maxim is, that whatever can be affirmed (or denied) of a class, may be affirmed (or denied) of everything included in the class. This axiom, supposed to be the basis of the syllogistic theory, is termed by logicians the dictum de omni et nullo.

Truths are known to us in two ways: some are known directly, and of themselves; some through the medium of other truths. The former are the subject of Intuition, or Consciousness; the latter, of Inference; the latter of Inference. The truths known by Intuition are the original premisses, from which all others are inferred.

Of two pleasures, if there be one which all or almost all who have experience of both give a decided preference, irrespective of any feeling of moral obligation to prefer it, that is the more desirable pleasure.

There is one characteristic of the present direction of public opinion, peculiarly calculated to make it intolerant of any marked demonstration of individuality. The general average of mankind are not only moderate in intellect, but also moderate in inclinations: they have no tastes or wishes strong enough to incline them to do anything unusual, and they consequently do not understand those who have, and class all such with the wild and intemperate whom they are accustomed to look down upon.

So true is that unnatural generally means only uncustomary, and that everything which is usual appears natural.

It is conceivable that religion may be morally useful without being intellectually sustainable.

The natural tendency of representative government, as of modern civilisation, is towards collective mediocrity: and this tendency is increased by all reductions and extensions of the franchise, their effect being to place the principal power in the hands of classes more and more below the highest level of instruction in the community.