Abstract
The subject to which I invite your attention this evening is a very recent development in mathematics which happens to be of great importance to philosophy.The question may perhaps be raised why a terrifying topic like mathematics as introduced into an Institute of Philosophy. There are two answers to this question. In the first place my talk this evening will not be a “mathematical lecture” in any ordinary sense of the term, and no mathematical knowledge whatsoever will be presupposed. In the second place, even if it were to be a mathematical lecture, such an audience as is here assembled tonight would find nothing terrifying in the prospect.