Books in category Mathematics – Set Theory

Set Theory, Arithmetic, and Foundations of Mathematics
This collection of papers from various areas of mathematical logic showcases the remarkable breadth and richness of the field.

This book originates as an essential underlying component of a modern, imaginative threesemester honors program (six undergraduate courses) in Mathematical Studies.

Polynomial Completeness in Algebraic Systems
Thus Polynomial Completeness in Algebraic Systems constitutes an accessible, coherent presentation of this rich topic valuable to both researchers and graduate students in general algebraic systems.

This book presents the theory of proper forcing and its relatives from the beginning. No prior knowledge of forcing is required.

The book also offers a tutorial on fuzzy control theory, based mainly on the wellknown classical ProportionalIntegralDerivative (PID) controllers theory and design methods.

Explores the link between mathematics and ontology.

The gems of the theory are emphasized: beautiful results with elegant proofs. The book developed from a course at Louisiana State University and combines a careful presentation with the informal style of those lectures.

The role of axiom systems is part of the discussion but their limitations are pointed out. Formal set theory has its place in the book but Dr Hamilton recognises that this is a part of mathematics and not the basis on which it rests.

Set Theoretical LogicThe Algebra of Models
This is an introduction to mathematical logic in which all the usual topics are presented: compactness and axiomatizability of semantical consequence, LöwenheimSkolemTarski theorems, prenex and other normal forms, and characterizations …

Set Theory and the Continuum Hypothesis
This unique text and reference is suitable for students and professionals. 1966 edition. Copyright renewed 1994.