Abstract

There is a story about a distinguished mathematician who had been invited to deliver a course of advanced lectures to other high-powered students of mathematics on a subject about which he was known to have some original ideas. The course, however, got off to a slow start. He devoted three lectures to discussing whether a certain proposition P was or was not self evident. The proposition P was essential to the argument he wanted to develop. Happily, he was able to announce at the opening of his fourth lecture that he had decided that P was self evident. There was an audible sigh of relief. It was now known, on the highest authority, that P was self evident. From that the argument proceeded briskly and with irresistible logic to the lecturer's surprising and devastating conclusions