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.

"Sinopsis" puede pertenecer a otra edición de este libro.

About the Author:

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

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

"Sobre este título" puede pertenecer a otra edición de este libro.

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ISBN 10: 0872208133 ISBN 13: 9780872208131
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Descripción Estado de conservación: New. Depending on your location, this item may ship from the US or UK. Nº de ref. de la librería 97808722081310000000

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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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Descripción Hackett Publishing Company 2006-03-15, Indianapolis, 2006. hardback. Estado de conservación: New. Nº de ref. de la librería 9780872208131

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Richard C. Jeffrey
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Descripción Hackett Publishing Co, Inc, United States, 2006. Paperback. Estado de conservación: 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. Nº de ref. de la librería AAG9780872208131

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Richard C. Jeffrey
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Descripción Hackett Publishing Co, Inc, United States, 2006. Paperback. Estado de conservación: 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. Nº de ref. de la librería AAG9780872208131

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Jeffrey, Richard/ Burgess, John P. (EDT)
Editorial: Hackett Publishing Co, Inc 2006-05-01 (2006)
ISBN 10: 0872208133 ISBN 13: 9780872208131
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Descripción Hackett Publishing Co, Inc 2006-05-01, 2006. HARDCOVER. Estado de conservación: New. Nº de ref. de la librería NU-GRD-00536470

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Richard C. Jeffrey, John P. Burgess
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Descripción Hackett Publishing Co, Inc. Paperback. Estado de conservación: 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. Nº de ref. de la librería B9780872208131

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Jeffrey, Richard C.
Editorial: Hackett Publishing Co, Inc (2006)
ISBN 10: 0872208133 ISBN 13: 9780872208131
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Descripción Hackett Publishing Co, Inc, 2006. Estado de conservación: 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. . . . . . . Nº de ref. de la librería V9780872208131

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Richard Jeffrey, John P. Burgess (Editor)
Editorial: Hackett Pub Co (2006)
ISBN 10: 0872208133 ISBN 13: 9780872208131
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Descripción Hackett Pub Co, 2006. Hardcover. Estado de conservación: New. 4. Nº de ref. de la librería DADAX0872208133

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Richard C. Jeffrey
Editorial: Hackett Publishing Co, Inc (2006)
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Descripción Hackett Publishing Co, Inc, 2006. PAP. Estado de conservación: New. New Book. Shipped from UK in 4 to 14 days. Established seller since 2000. Nº de ref. de la librería GB-9780872208131

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Richard Jeffrey, John P. Burgess
ISBN 10: 0872208133 ISBN 13: 9780872208131
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Ria Christie Collections
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Descripción Hardback. Estado de conservación: 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. Nº de ref. de la librería ria9780872208131_rkm

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