The axiomatic theory of sets is a vibrant part of pure mathematics, with its own basic notions, fundamental results, and deep open problems. At the same time, it is often viewed as a foundation of mathematics so that in the most prevalent, current mathematical practice "to make a notion precise" simply means "to define it in set theory." This book ...
Descriptive Set Theory is the study of sets in separable, complete metric spaces that can be defined (or constructed), and so can be expected to have special properties not enjoyed by arbitrary pointsets. This subject was started by the French analysts at the turn of the 20th century, most prominently Lebesgue, and, initially, was concerned ...
Hailed by the "Bulletin of the American Mathematical Society" as "easy to use and a pleasure to read," this research monograph is recommended for students and professionals interested in model theory and definability theory. The sole prerequisite is a familiarity with the basics of logic, model theory, and set theory. 1974 edition.
Topics of this proceedings volume will include Computability and Complexity of Higher Type Functions by Stephen Cook, Logics for Termination and Correctness of Functional Programs by Solomon Feferman, Reals and Forcing with Elementary Topos by the well known mathematician, Saunders MacLane and Ieke Moerdijk, and Concurrent Computation as Game ...
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