Set Theory and Logic (Dover Books on Mathematics)

The "Set Theory and Logic" book by Robert Roth Stoll is widely praised for its comprehensive coverage of set theory and logic, with readers finding it very readable and accessible. The book also covers basic real analysis and the foundations of arithmetic, making it an ideal introduction to these advanced mathematical concepts. It has been lauded for providing a detailed and accessible introduction to set theory, enabling individuals with a solid background in pure mathematics to appreciate complex works by renowned mathematicians such as Cantor and Godel. Despite its advanced nature, some readers have noted that additional reading and effort may be required to fully understand the material, especially for those who are not trained mathematicians. However, the clarity of Stoll's writing and the presence of exercises are highlighted as beneficial features. Some readers recommended this book as an essential read for individuals with a couple of years of undergraduate pure mathematics background, while others appreciated the author's approach of starting with topics familiar from general mathematics before delving into formal logic. The book's comprehensive content includes chapters on sets, relations, functions, order, natural numbers, cardinal numbers, ordinal numbers, rational and real numbers, basic propositional and predicate calculus, axiomatization of set theory and algebra, and first-order languages and metamathematics. Additionally, the book has been commended for presenting a natural deduction logical calculus and for its lightweight introduction that prepares readers for more advanced logic and set theory books. While some have mentioned that the book is a bit dated, its low price is Considered to be a good bargain. Overall, "Set Theory and Logic" is described as a clear, simple, and comprehensive book that provides an excellent foundation for understanding advanced mathematical concepts. **