Set theory Books

In this monograph, questions of extensions and relaxations are consid­ ered. These questions arise in many applied problems in connection with the operation of perturbations. In some cases, the operation of "small" per­...

Math class can be a frustrating place for many children, but it doesn't have to be that way. When a student understands the fundamentals of math, the classroom transforms from a place of stress and anger into a place full of exciting adventures. The...

Mathematics of Fuzzy Sets: Logic, Topology and Measure Theory is a major attempt to provide much-needed coherence for the mathematics of fuzzy sets. Much of this book is new material required to standardize this mathematics,...

Assessing the degree to which two objects, an object and a query, or two concepts are similar or compatible is a fundamental component of human reasoning and consequently is critical in the development of automated diagnosis,...

This book presents an exploration of set theory and the mathematical representation of families of sets. It includes discussions of related problems and concepts, such as basic set theory, relations, functions, and logic, as well as their applications to...

Russell's paradox arises when we consider those sets that do not belong to themselves. The collection of such sets cannot constitute a set. Step back a bit. Logical formulas define sets (in a standard model). Formulas, being mathematical objects, can...

A thorough introduction to Borel sets and measurable selections, acting as a stepping stone to descriptive set theory by presenting such important techniques as universal sets, prewellordering, scales, etc. It contains...

This book provides a comprehensive introduction to set theory and the foundations of arithmetic. Landin and Hamilton's clear and concise explanations make the complex subject matter easy to grasp. Their approach has influenced generations of...