We thus have a kind of see-saw: first, pure persuasion leading to the conversion of a minority; then force exerted to secure that the rest of the com… - Bertrand Russell

So much of modern mathematical work is obviously on the border-line of logic, so much of modern logic is symbolic and formal, that the very close relationship of logic and mathematics has become obvious to every instructed student. The proof of their identity is, of course, a matter of detail: starting with premisses which would be universally admitted to belong to logic, and arriving by deduction at results which as obviously belong to mathematics, we find that there is no point at which a sharp line can be drawn, with logic to the left and mathematics to the right. If there are still those who do not admit the identity of logic and mathematics, we may challenge them to indicate at what point, in the successive definitions and deductions of Principia Mathematica, they consider that logic ends and mathematics begins. It will then be obvious that any answer must be quite arbitrary.

Children must be under authority, and are themselves aware that they must be, although they like to play a game of rebellion at times. The case of children is unique in the fact that those who have authority over them are sometimes fond of them. Where this is the case, the children do not resent the authority in general, even when they resist it on particular occasions. Education authorities, as opposed to teachers, have not this merit, and do in fact sacrifice the children to what they consider the good of the State by teaching them "patriotism," i.e., a willingness to kill and be killed for trivial reasons.

The man who pursues happiness wisely will aim at the possession of a number of subsidiary interests in addition to those central ones upon which his life is built.