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Formal Logic: Its Scope And Limits
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The First Beginning Logic Text To Employ The Tree Methoda Complete Formal System Of Firstorder Logic That Is Remarkably Easy To Understand And Usethis Text Allows Students To Take Control Of The Nuts And Bolts Of Formal Logic Quickly, And To Move On To More Complex And Abstract Problems.The Tree Method Is Elaborated In Manageable Steps Over Five Chapters, In Each Of Which Its Adequacy Is Reviewed; Soundness And Completeness Proofs Are Extended At Each Step, And The Decidability Proof Is Extended At The Step From Truth Functions To The Logic Of Nonoverlapping Quantifiers With A Single Variable, After Which Undecidability Is Demonstrated By Example. The First Three Chapters Are Bilingual, With Arguments Presented Twice, In Logical Notation And In English. The Last Three Chapters Consider The Discoveries Defining The Scope And Limits Of Formal Methods That Marked Logics Coming Of Age In The 20Th Century: Godels Completeness And Incompleteness Theorems For First And Secondorder Logic, And The Churchturing Theorem On The Undecidability Of Firstorder Logic.This New Edition Provides Additional Problems, Solutions To Selected Problems, And Two New Supplements: Truthfunctional Equivalence Reinstates Material On That Topic From The Second Edition That Was Omitted In The Third, And Variant Methods, In Which John Burgess Provides A Proof Regarding The Possibility Of Modifying The Tree Method So That It Will Always Find A Finite Model When There Is One, And Another, Which Shows That A Different Modificationonce Contemplated By Jeffreycan Result In A Dramatic Speedup Of Certain Proofs.
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- Q: How many pages does this book have? A: This book has one hundred ninety-two pages. It provides a comprehensive introduction to formal logic.
- Q: What is the binding type of the book? A: The book is a hardcover edition. This provides durability and a professional appearance.
- Q: What are the dimensions of the book? A: The book measures five point seventy-five inches in length, zero point seventy-five inches in width, and nine point zero two inches in height.
- Q: Who is the author of this book? A: The author of this book is Richard Jeffrey. He is known for his work in logic and philosophy.
- Q: What is the main subject of this book? A: The book focuses on formal logic. It covers first-order logic and its complexities.
- Q: How do I effectively use this book for studying? A: To use this book effectively, read each chapter sequentially, practicing the tree method as you progress. Utilize the additional problems and solutions for deeper understanding.
- Q: Is this book suitable for beginners in logic? A: Yes, this book is suitable for beginners. It employs the tree method, which simplifies complex concepts in formal logic.
- Q: What age group is this book appropriate for? A: This book is appropriate for high school students and above. It is designed for those starting their studies in formal logic.
- Q: How should I care for this book? A: To care for this book, store it in a cool, dry place away from direct sunlight. Avoid exposing it to moisture, which can damage the binding.
- Q: Can I clean the book if it gets dirty? A: Yes, you can clean the book. Use a dry cloth to gently wipe the cover and pages if they become soiled.
- Q: What if the book arrives damaged? A: If the book arrives damaged, contact the seller for return instructions. Most sellers provide a return policy for damaged items.
- Q: How can I return this book if I'm not satisfied? A: You can return the book by following the return policy provided at purchase. Ensure you keep the original packaging for a smoother return process.
- Q: Is there a warranty for this book? A: No, books typically do not come with a warranty. However, you can check the return policy for any guarantees.
- Q: What distinguishes this book from other logic texts? A: This book is distinguished by its use of the tree method, which simplifies first-order logic concepts. It also includes bilingual arguments for better understanding.
- Q: Are there any additional resources with the book? A: Yes, this new edition includes additional problems, solutions, and two new supplements. These supplements enhance understanding of truth-functional equivalence and variant methods.
- Q: Does this book cover advanced topics in logic? A: Yes, the book covers advanced topics such as Godel’s completeness and incompleteness theorems. It also discusses the Church-Turing theorem regarding undecidability.