Items related to Formal Logic: Its Scope and Limits
Synopsis
The first beginning logic text to employ the tree method--a complete formal system of first-order logic that is remarkably easy to understand and use--this 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 second-order logic, and the Church-Turing theorem on the undecidability of first-order logic. This new edition provides additional problems, solutions to selected problems, and two new Supplements: Truth-Functional 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 Jeffrey--can result in a dramatic speed--up of certain proofs.
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About the Author
Richard Jeffrey (1926-2002) was Professor of Philosophy, Princeton University.
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- PublisherMcGraw-Hill Inc.,US
- Publication date1981
- ISBN 10 0070323216
- ISBN 13 9780070323216
- BindingHardcover
- LanguageEnglish
- Edition number2
- Number of pages198
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Formal Logic : Its Scope and Limits
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McGraw-Hill Companies, The, 1981
ISBN 10: 0070323216
ISBN 13: 9780070323216
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Formal Logic : Its Scope and Limits
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Formal Logic : Its Scope and Limits
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ISBN 10: 0070323216
ISBN 13: 9780070323216
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Formal Logic: Its Scope and Limits
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Hardcover. Condition: Good. No Jacket. 2nd Edition. Second edition. Book is clean and tight without inside markings. This is a book for beginners, designed to familiarize them with a formal system of first-order logic in the course of a semester's study and to give them access to the discoveries defining the scope and limits of formal methods that marked the coming of age in the twentieth century: Godel's completeness and incompleteness theorems for first- and second-order logic in Chapter 7, and the Church-Turing theorem on the undecidability of first-order logic in Chapter 6. Seller Inventory # TA243818
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Formal Logic : its scope and limits
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