I am still at Trattenbach, surrounded, as ever, by odiousness and baseness. I know that human beings on the average are not worth much anywhere, but here they are much more good-for-nothing and irresponsible than elsewhere.
Ludwig WittgensteinSince social relationships are always ambiguous, since my thought is only a unit, since my thoughts create rifts as much as they unite, since my words establish contacts by being spoken and create isolation by remaining unspoken, since an immense moat separates the subjective certitude that I have for myself from the objective reality that I represent to others, since I never stop finding myself guilty even though I feel I am innocent.
Ludwig WittgensteinMathematics 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.
Ludwig Wittgenstein