Left Quotes - page 85
Yes, we had one and all left our native planets in order to discover whether, regarding the cosmos as a whole, the spirit which we all in our hearts obscurely knew and haltingly prized, the spirit which on Earth we sometimes call humane, was Lord of the Universe, or outlaw; almighty, or crucified. And now it was becoming clear to us that if the cosmos had any lord at all, he was not that spirit but some other, whose purpose in creating the endless fountain of worlds was not fatherly toward the beings that he had made, but alien, inhuman, dark.
Olaf Stapledon
We must face the fact that, though the free intelligence and the spirit of community are at once the goal and an essential means, they may be not only ineffectual but actually harmful, unless they are combined with a full measure of that hot indignation against tyranny, that devoted service in the struggle for the new order, which is characteristic of the best minds of the political Left. On the other hand, the political Left, if it is to capture the imagination and allegiance of the people of this country and sweep them forward to victory, must, I believe, learn a more liberal spirit. I mean, of course, liberal not in the political but in the cultural sense, namely, loyalty to the free critical intelligence and respect for the human individual.
Olaf Stapledon
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.
Bertrand Russell