Perspectives in Mathematical Logic
1 total work
After describing the beginnings of the subject - the theory of large cardinals - a comprehensive account is given of the work in the 1960s partition properties, forcing and sets of reals, and aspects of measurability (including saturated deals and inner models of measurability). Then discussed are the strong hypotheses like super-compactness up to Kunen's inconsistency. The last sections describe the investigation of determinacy from its beginnings up to a survey of the recent- consistency results of Woodin. The material is presented in the context. of its historical development and leads to the frontiers of contemporary research. It will serve as a reference and guide to graduate students and researchers in set theory and set-theoretic topology.