There is a truth in Schopenhauer’s view that philosophy is an organism, and that a book on philosophy, with a beginning and end, is a sort of contradiction. ... In philosophy matters are not simple enough for us to say ‘Let’s get a rough idea’, for we do not know the country except by knowing the connections between the roads.

If we were to imagine an orange on the blue side or green on the red side or violet on the yellow side, it would give us the same impression as a north wind coming from the southwest.

Mathematics is a logical method. . . . Mathematical propositions express no thoughts. In life it is never a mathematical proposition which we need, but we use mathematical propositions only in order to infer from propositions which do not belong to mathematics to others which equally do not belong to mathematics.

A tautology's truth is certain, a proposition's possible, a contradiction's impossible.

If a lion could talk, we could not understand him.

Telling someone something he does not understand is pointless, even if you add that he will not be able to understand it.

What is troubling us is the tendency to believe that the mind is like a little man within.