 What led Wittgenstein to abandon the Tractatus’s analysis of generality was his realization that he had failed adequately to think through the infinite case. He had proceeded as though the finite case could be used as a way of thinking about the infinite case, the details of which could be sorted out at a later date. By 1932 he had come to regard this attitude as mistaken. The point is made in a passage from the Cambridge Lectures whose meaning can only be appreciated after some preliminary explanation. The passage in question makes a crucial claim about something Wittgenstein refers to as “The Proposition”. By this phrase in this context he means the joint denial of all the propositions that are values of the propositional function “x is in this room”. This proposition can be written: 