Formal Logic: Its Scope and Limits

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9780872208131: Formal Logic: Its Scope and Limits

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 logic’s coming of age in the 20th century: Godel’s 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 modification―once contemplated by Jeffrey--can result in a dramatic speed--up of certain proofs.

Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.

About the Author:

Richard Jeffrey (1926-2002) was Professor of Philosophy, Princeton University.

John P. Burgess is Professor of Philosophy, Princeton University.

Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.

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Richard Jeffrey
ISBN 10: 0872208133 ISBN 13: 9780872208131
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Descrizione libro Condizione libro: New. Depending on your location, this item may ship from the US or UK. Codice libro della libreria 97808722081310000000

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Richard C. Jeffrey
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Descrizione libro Hackett Publishing Co, Inc, United States, 2006. Paperback. Condizione libro: New. 4th Revised edition. Language: English . Brand New Book. 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. Codice libro della libreria AAG9780872208131

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Richard Jeffrey (author), John P. Burgess (editor)
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ISBN 10: 0872208133 ISBN 13: 9780872208131
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Descrizione libro Hackett Publishing Company 2006-03-15, Indianapolis, 2006. hardback. Condizione libro: New. Codice libro della libreria 9780872208131

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Descrizione libro Hackett Publishing Co, Inc, United States, 2006. Paperback. Condizione libro: New. 4th Revised edition. Language: English . Brand New Book. 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. Codice libro della libreria AAG9780872208131

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Descrizione libro Hackett Publishing Co, Inc 2006-05-01, 2006. HARDCOVER. Condizione libro: New. Codice libro della libreria NU-GRD-00536470

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Descrizione libro Hackett Publishing Co, Inc. Paperback. Condizione libro: new. BRAND NEW, Formal Logic: Its Scope and Limits (4th Revised edition), Richard C. Jeffrey, John P. Burgess, 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 logic's coming of age in the 20th century: Godel's 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 modification--once contemplated by Jeffrey--can result in a dramatic speed--up of certain proofs. Codice libro della libreria B9780872208131

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Jeffrey, Richard C.
Editore: Hackett Publishing Co, Inc (2006)
ISBN 10: 0872208133 ISBN 13: 9780872208131
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Descrizione libro Hackett Publishing Co, Inc, 2006. Condizione libro: New. 2006. Fourth Edition,4. Hardcover. Offers a text employing the tree method, a formal system of first-order logic. This book allows students to take control of the nuts and bolts of formal logic, and to move on to complex and abstract problems. The tree method is elaborated in steps over five chapters. Editor(s): Burgess, John P. Num Pages: 192 pages, tables & charts. BIC Classification: HPL. Category: (UU) Undergraduate. Dimension: 238 x 159 x 19. Weight in Grams: 438. . . . . . . Codice libro della libreria V9780872208131

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Descrizione libro Hardback. Condizione libro: New. Not Signed; 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 tr. book. Codice libro della libreria ria9780872208131_rkm

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Descrizione libro Hackett Publishing Co, Inc, 2006. PAP. Condizione libro: New. New Book. Shipped from UK in 4 to 14 days. Established seller since 2000. Codice libro della libreria GB-9780872208131

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Jeffrey, Richard C.
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ISBN 10: 0872208133 ISBN 13: 9780872208131
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Descrizione libro Hackett Publishing Co, Inc. Condizione libro: New. 2006. Fourth Edition,4. Hardcover. Offers a text employing the tree method, a formal system of first-order logic. This book allows students to take control of the nuts and bolts of formal logic, and to move on to complex and abstract problems. The tree method is elaborated in steps over five chapters. Editor(s): Burgess, John P. Num Pages: 192 pages, tables & charts. BIC Classification: HPL. Category: (UU) Undergraduate. Dimension: 238 x 159 x 19. Weight in Grams: 438. . . . . . Books ship from the US and Ireland. Codice libro della libreria V9780872208131

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