This volume contains a variety of problems from classical set theory. Many of these problems are also related to other …
Michael Potter presents a comprehensive new philosophical introduction to set theory. Anyone wishing to work on the logical foundations of …
Traditional logic as a part of philosophy is one of the oldest scientific disciplines and can be traced back to …
Translated from the French, this book is an introduction to first-order model theory. Starting from scratch, it quickly reaches the …
Logic is sometimes called the foundation of mathematics: the logician studies the kinds of reasoning used in the individual steps …
This book provides a self-contained introduction to modern set theory and also opens up some more advanced areas of current …
In the age of Machine Intelligence and computerized decision making, we have to deal with subjective imprecision inherently associated with …
This book presents the classic relative consistency proofs in set theory that are obtained by the device of 'inner models'. …
Designed for undergraduate students of set theory, Classic Set Theory presents a modern perspective of the classic work of Georg …
What is a number? What is infinity? What is continuity? What is order? Answers to these fundamental questions obtained by …
Set theory presents many unusual challenges to the mathematician who wishes to pursue independent study of the subject at an …
Descriptive set theory is mainly concerned with studying subsets of the space of all countable binary sequences. In this paper …
Presents a novel approach to set theory that is entirely operational. This approach avoids the existential axioms associated with traditional …
This book is intended as an undergraduate senior level or beginning graduate level text for mathematical logic. There are virtually …
Labyrinth of Thought discusses the emergence and development of set theory and the set-theoretic approach to mathematics during the period …
This book deals with two important branches of mathematics, namely, logic and set theory. Logic and set theory are closely …
This book is an introduction into modern cardinal arithmetic in the frame of the axioms of Zermelo-Fraenkel set theory together …
Set Theory has experienced a rapid development in recent years, with major advances in forcing, inner models, large cardinals and …
Ever since Paul Cohen's spectacular use of the forcing concept to prove the independence of the continuum hypothesis from the …
A succinct introduction to mathematical logic and set theory, which together form the foundations for the rigorous development of mathematics. …
This work presents the most important combinatorial ideas in partition calculus and discusses ordinary partition relations for cardinals without the …
Set theory is the mathematics of infinity and part of the core curriculum for mathematics majors. This book blends theory …
This handbook is the definitive compendium of the methods, results, and current initiatives in modern set theory in all its …