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Top rated mathematical set theory books

Here are some top-rated mathematical set theory books:

  1. "Set Theory: An Introduction to Independence Proofs" by Kenneth Kunen: This book is a classic in the field and provides a comprehensive introduction to set theory, including independence proofs.
  2. "Set Theory and Its Philosophy" by Michael Potter: This book provides a thorough introduction to set theory, as well as its philosophical foundations and implications.
  3. "A Course in Mathematical Logic" by John Bell and Moshe Machover: This book covers mathematical logic, including set theory, and is suitable for graduate students and researchers.
  4. "Set Theory" by Thomas Jech: This book is a thorough and modern introduction to set theory, covering topics such as cardinal numbers, ordinal numbers, and the axiom of choice.
  5. "Introduction to Set Theory" by Karel Hrbacek and Thomas Jech: This book provides a gentle introduction to set theory, covering the basics of sets, relations, and functions.
  6. "The Foundations of Set Theory" by Abraham Fraenkel and Yehoshua Bar-Hillel: This book is a classic in the field and provides a comprehensive introduction to the foundations of set theory.
  7. "Set Theory: A First Course" by Daniel Cunningham: This book provides a introductory course in set theory, covering topics such as sets, relations, and functions.
  8. "Mathematical Logic and Set Theory" by Philip Scowcroft: This book covers mathematical logic and set theory, including topics such as propositional and predicate logic, and the axiom of choice.
  9. "Axiomatic Set Theory" by Patrick Suppes: This book provides a comprehensive introduction to axiomatic set theory, including the Zermelo-Fraenkel axioms and the axiom of choice.
  10. "Set Theory and the Continuum Hypothesis" by Paul Cohen: This book provides a classic introduction to set theory and the continuum hypothesis, including the author's own proof of the independence of the continuum hypothesis.

These books are all highly rated and suitable for different levels of readers, from undergraduate students to advanced researchers. However, it's worth noting that some of these books may require a significant mathematical background to fully appreciate.

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Note: The ratings can vary depending on the source and the audience. These ratings are intended to provide a general idea of the book's quality and reputation.