Hi, I can't stop thinking and speculating about Wittgenstein's unbelievable question: "What is left over if I subtract the fact that my arm goes up from the fact that I raise my arm?". I was wondering how you guys speculate and maybe even answer Wittgenstein's question. It appears at least to me that it's a biconditional link which is why it's so interesting. Is there even any difference between the two? What does 'raise' truly mean (which I feel might be the secret to the question)? Is an action [such as raise] only an action if there is some end or fruit to it? Is it possible for a means to have no end?