This volume is the second (and last) part of the Proceedings of the Summer Institute on Axiomatic Set Theory held at 1967. Many of the lectures delivered during the Institute have been published in the first volume of these proceedings, edited by Dana S. Scott. Although we were unable to obtain all the remaining manuscripts, this volume contains most of them. A small number of the contributions was meanwhile published elsewhere;
the complete list of lectures is provided at the end of this volume. For several reasons, the publication of this volume was slightly delayed. I wish to thank the authors of the papers for their patience.