In our four further discussions of the Edmonds book this week, we will break little if any truly new ground. We will try to go more deeply into some questions that we raised last week. First, I mentioned last week that Wittgenstein's discussion of the foundations of mathematics after an exposure to Brouwer's views was what brought him fully back into philosophy. I omitted a related point. Wittgenstein did eventually write up his thoughts on that subject. REMARKS ON THE FOUNDATIONS OF MATHEMATICS was published after his death, in 1956. There he makes the remarkable observation that what is called "losing" in chess may constitute winning in another game. That is his analogy. His example involves "Russell's system," the logicism/logical apparatus of PRINCIPIA MATHEMATICA. A proposition could be proven the case in Russell's system yet sti...