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.
Ludwig WittgensteinA philosopher who is not taking part in discussions is like a boxer who never goes into the ring.
Ludwig WittgensteinWhen philosophers use a word--"knowledge," "being," "object," "I," "proposition," "name"--and try to grasp the essence of the thing, one must always ask oneself: is the word ever actually used in this way in the language-game which is its original home?--What we do is to bring words back from their metaphysical to their everyday use.
Ludwig WittgensteinThe truth of the thoughts that are here set forth seems to me unassailable and definitive. I therefore believe myself to have found, on all essential points, the final solution of the problems. And if I am not mistaken in this belief, then the second thing in which the value of this work consists is that it shows how little is achieved when these problems are solved.
Ludwig Wittgenstein