ABSTRACT

In this chapter, the author introduces a symposium on infinity. He do so, not because he can claim any special intimacy with the infinite, but because he think it all-important that a notion so fundamental should be rescued from the grip of the experts, and should be brought back into general circulation. The author divides his treatment of infinity into two parts. In the first he skims briefly over the historical terrain of western thought about the infinite, so that it may be plain where he propose to come down in this field, and precisely what drifts of thought he intend to reinforce or to combat. In the second part he let one to have a few of his own personal intuitions on the matter, backed up with an amplifying commentary, which try to show how one's thought about the infinite may be fitted into the general pattern of one's thought about number.