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Set Theory and Logic (Dover Books on Mathematics) by Robert Roth Stoll is a mathematics available to read on EtoBox.

What is Set Theory and Logic (Dover Books on Mathematics) about?

Set Theory and Logic is the result of a course of lectures for advanced undergraduates, developed at Oberlin College for the purpose of introducing students to the conceptual foundations of mathematics. Mathematics, specifically the real number system, is approached as a unity whose operations can be logically ordered through axioms. One of the most complex and essential of modern mathematical innovations, the theory of sets (crucial to quantum mechanics and other sciences), is introduced in a most careful concept manner, aiming for the maximum in clarity and stimulation for further study in set logic. Contents include: Sets and Relations — Cantor's concept of a set, etc.Natural Number Sequence — Zorn's Lemma, etc.Extension of Natural Numbers to Real NumbersLogic — the Statement and Predicate Calculus, etc.Informal Axiomatic MathematicsBoolean AlgebraInformal Axiomatic Set TheorySeveral Algebraic Theories — Rings, Integral Domains, Fields, etc.First-Order Theories — Metamathematics, etc.Symbolic logic does not figure significantly until the final chapter. The main theme of the book is mathematics as a system seen through the elaboration of real numbers; set theory and logic are see

Who reads Set Theory and Logic (Dover Books on Mathematics)?

Author

Robert Roth Stoll

Publisher

Dover Publications, Incorporated

Published

2012

Language

EN

ISBN

9780486139647

Category

mathematics

Subjects

Mathematics, Stem

Rating

4.6 / 5 (85 ratings)

Updated

2026-03-14