Godel's Incompleteness Theorems (Oxford Logic Guides),Used

Godel's Incompleteness Theorems (Oxford Logic Guides),Used

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Kurt Godel, the greatest logician of our time, startled the world of mathematics in 1931 with his Theorem of Undecidability, which showed that some statements in mathematics are inherently 'undecidable.' His work on the completeness of logic, the incompleteness of number theory, and the consistency of the axiom of choice and the continuum theory brought him further worldwide fame. In this introductory volume, Raymond Smullyan, himself a wellknown logician, guides the reader through the fascinating world of Godel's incompleteness theorems. The level of presentation is suitable for anyone with a basic acquaintance with mathematical logic. As a clear, concise introduction to a difficult but essential subject, the book will appeal to mathematicians, philosophers, and computer scientists.

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Frequently Asked Questions

  • Q: What are Godel's incompleteness theorems? A: Godel's incompleteness theorems demonstrate that in any consistent mathematical system, there are statements that cannot be proven true or false within that system. This fundamentally changes our understanding of mathematical logic.
  • Q: Who is the author of this book? A: The author of 'Godel's Incompleteness Theorems (Oxford Logic Guides)' is Raymond Smullyan, a renowned logician known for his work in mathematical logic and philosophy.
  • Q: What is the publication date of this book? A: This book was published on August 20, 1992.
  • Q: What is the binding type of this book? A: The book is available in hardcover binding, which offers durability and a premium feel.
  • Q: How many pages does this book have? A: The book contains 160 pages, making it a concise introduction to the subject.
  • Q: Is this book suitable for beginners? A: Yes, the book is designed for readers with a basic acquaintance with mathematical logic, making it accessible even for beginners.
  • Q: What topics does the book cover? A: The book covers Godel's work on the completeness of logic, the incompleteness of number theory, and the consistency of various mathematical theories.
  • Q: Is this book a good resource for philosophers? A: Yes, the book appeals to philosophers, mathematicians, and computer scientists, as it explores deep logical concepts that are relevant across these fields.
  • Q: What makes this book different from other logic books? A: The book provides a clear and concise introduction to Godel's complex theories, making it unique in its ability to simplify difficult concepts for a broader audience.
  • Q: Can I find exercises or problems in this book? A: This book primarily serves as an introductory guide and does not focus on exercises or problem sets, but it effectively explains key concepts related to Godel's incompleteness theorems.