2010, ISBN: 9789048153367
[ED: Softcover], [PU: Springer Netherlands], The aim of this book is to give self-contained proofs of all basic results concerning the infinite-valued proposition al calculus of Lukasiewicz and its algebras, Chang's MV -algebras. This book is for self-study: with the possible exception of Chapter 9 on advanced topics, the only prere quisite for the reader is some acquaintance with classical propositional logic, and elementary algebra and topology. In this book it is not our aim to give an account of Lukasiewicz's motivations for adding new truth values: readers interested in this topic will find appropriate references in Chapter 10. Also, we shall not explain why Lukasiewicz infinite-valued propositionallogic is a ba sic ingredient of any logical treatment of imprecise notions: Hajek's book in this series on Trends in Logic contains the most authorita tive explanations. However, in order to show that MV-algebras stand to infinite-valued logic as boolean algebras stand to two-valued logic, we shall devote Chapter 5 to Ulam's game of Twenty Questions with lies/errors, as a natural context where infinite-valued propositions, con nectives and inferences are used. While several other semantics for infinite-valued logic are known in the literature-notably Giles' game theoretic semantics based on subjective probabilities-still the transi tion from two-valued to many-valued propositonallogic can hardly be modelled by anything simpler than the transformation of the familiar game of Twenty Questions into Ulam game with lies/errors. 2010. ix, 233 S. 1 SW-Abb. 235 mm Versandfertig in 6-10 Tagen, DE, [SC: 0.00], Neuware, gewerbliches Angebot, Offene Rechnung (Vorkasse vorbehalten)
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ISBN: 9789048153367
The aim of this book is to give self-contained proofs of all basic results concerning the infinite-valued proposition al calculus of Lukasiewicz and its algebras, Chang''s MV -algebras. This book is for self-study: with the possible exception of Chapter 9 on advanced topics, the only prere quisite for the reader is some acquaintance with classical propositional logic, and elementary algebra and topology. In this book it is not our aim to give an account of Lukasiewicz''s motivations for adding new truth values: readers interested in this topic will find appropriate references in Chapter 10. Also, we shall not explain why Lukasiewicz infinite-valued propositionallogic is a ba sic ingredient of any logical treatment of imprecise notions: Hajek''s book in this series on Trends in Logic contains the most authorita tive explanations. However, in order to show that MV-algebras stand to infinite-valued logic as boolean algebras stand to two-valued logic, we shall devote Chapter 5 to Ulam''s game of Twenty Questions with lies/errors, as a natural context where infinite-valued propositions, con nectives and inferences are used. While several other semantics for infinite-valued logic are known in the literature-notably Giles'' game theoretic semantics based on subjective probabilities-still the transi tion from two-valued to many-valued propositonallogic can hardly be modelled by anything simpler than the transformation of the familiar game of Twenty Questions into Ulam game with lies/errors. | Algebraic Foundations of Many-Valued Reasoning by R. l. Cignoli Paperback | Indigo Chapters Books > Philosophy P10105, R.l. Cignoli
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ISBN: 9789048153367
The aim of this book is to give self-contained proofs of all basic results concerning the infinite-valued proposition al calculus of Lukasiewicz and its algebras, Chang''s MV -algebras. This book is for self-study: with the possible exception of Chapter 9 on advanced topics, the only prere quisite for the reader is some acquaintance with classical propositional logic, and elementary algebra and topology. In this book it is not our aim to give an account of Lukasiewicz''s motivations for adding new truth values: readers interested in this topic will find appropriate references in Chapter 10. Also, we shall not explain why Lukasiewicz infinite-valued propositionallogic is a ba sic ingredient of any logical treatment of imprecise notions: Hajek''s book in this series on Trends in Logic contains the most authorita tive explanations. However, in order to show that MV-algebras stand to infinite-valued logic as boolean algebras stand to two-valued logic, we shall devote Chapter 5 to Ulam''s game of Twenty Questions with lies/errors, as a natural context where infinite-valued propositions, con nectives and inferences are used. While several other semantics for infinite-valued logic are known in the literature-notably Giles'' game theoretic semantics based on subjective probabilities-still the transi tion from two-valued to many-valued propositonallogic can hardly be modelled by anything simpler than the transformation of the familiar game of Twenty Questions into Ulam game with lies/errors. Books > Philosophy List_Books
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Algebraic Foundations of Many-Valued Reasoning (Trends in Logic) (Trends in Logic (7), Band 7) - pocketboek
2010, ISBN: 9789048153367
Springer, Taschenbuch, Auflage: Softcover reprint of hardcover 1st ed. 2000, 244 Seiten, Publiziert: 2010-12-03T00:00:01Z, Produktgruppe: Buch, Hersteller-Nr.: 1 black & white illustrations, biography, 0.84 kg, Logik, Philosophie, Sozialwissenschaft, Kategorien, Bücher, Informatik, IT-Ausbildung & -Berufe, Computer & Internet, Künstliche Intelligenz, Fachbücher, Algebra & Zahlentheorie, Naturwissenschaft & Mathematik, Naturwissenschaften & Technik, Springer, 2010
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Algebraic Foundations of Many-Valued Reasoning (Trends in Logic) (Trends in Logic (7), Band 7) - pocketboek
2010, ISBN: 9789048153367
Springer, Taschenbuch, Auflage: Softcover reprint of hardcover 1st ed. 2000, 244 Seiten, Publiziert: 2010-12-03T00:00:01Z, Produktgruppe: Buch, Hersteller-Nr.: 1 black & white illustrations, biography, 0.84 kg, Logik, Philosophie, Sozialwissenschaft, Kategorien, Bücher, Informatik, IT-Ausbildung & -Berufe, Computer & Internet, Künstliche Intelligenz, Fachbücher, Algebra & Zahlentheorie, Naturwissenschaft & Mathematik, Naturwissenschaften & Technik, Springer, 2010
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2010, ISBN: 9789048153367
[ED: Softcover], [PU: Springer Netherlands], The aim of this book is to give self-contained proofs of all basic results concerning the infinite-valued proposition al calculus of Lukasiewi… Meer...
ISBN: 9789048153367
The aim of this book is to give self-contained proofs of all basic results concerning the infinite-valued proposition al calculus of Lukasiewicz and its algebras, Chang''s MV -algebras. T… Meer...
ISBN: 9789048153367
The aim of this book is to give self-contained proofs of all basic results concerning the infinite-valued proposition al calculus of Lukasiewicz and its algebras, Chang''s MV -algebras. T… Meer...
Algebraic Foundations of Many-Valued Reasoning (Trends in Logic) (Trends in Logic (7), Band 7) - pocketboek
2010, ISBN: 9789048153367
Springer, Taschenbuch, Auflage: Softcover reprint of hardcover 1st ed. 2000, 244 Seiten, Publiziert: 2010-12-03T00:00:01Z, Produktgruppe: Buch, Hersteller-Nr.: 1 black & white illustratio… Meer...
Algebraic Foundations of Many-Valued Reasoning (Trends in Logic) (Trends in Logic (7), Band 7) - pocketboek
2010, ISBN: 9789048153367
Springer, Taschenbuch, Auflage: Softcover reprint of hardcover 1st ed. 2000, 244 Seiten, Publiziert: 2010-12-03T00:00:01Z, Produktgruppe: Buch, Hersteller-Nr.: 1 black & white illustratio… Meer...
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Gedetalleerde informatie over het boek. - Algebraic Foundations of Many-Valued Reasoning by R.l. Cignoli Paperback | Indigo Chapters
EAN (ISBN-13): 9789048153367
ISBN (ISBN-10): 9048153360
Gebonden uitgave
pocket book
Verschijningsjaar: 2010
Uitgever: R.l. Cignoli
244 Bladzijden
Gewicht: 0,374 kg
Taal: eng/Englisch
Boek bevindt zich in het datenbestand sinds 2012-12-24T08:54:08+01:00 (Amsterdam)
Detailpagina laatst gewijzigd op 2022-07-15T11:27:46+02:00 (Amsterdam)
ISBN/EAN: 9789048153367
ISBN - alternatieve schrijfwijzen:
90-481-5336-0, 978-90-481-5336-7
Gegevens van de uitgever
Auteur: R.L. Cignoli; Itala M. d'Ottaviano; Daniele Mundici
Titel: Trends in Logic; Algebraic Foundations of Many-Valued Reasoning
Uitgeverij: Springer; Springer Netherland
233 Bladzijden
Verschijningsjaar: 2010-12-03
Dordrecht; NL
Gedrukt / Gemaakt in
Gewicht: 0,454 kg
Taal: Engels
149,79 € (DE)
153,99 € (AT)
165,50 CHF (CH)
POD
IX, 233 p. 1 illus.
BC; Previously published in hardcover; Hardcover, Softcover / Mathematik/Grundlagen; Mathematik: Logik; Verstehen; Addition; Equivalence; Fuzzy; calculus; fuzzy control; fuzzy logic; logic; proof; B; Mathematical Logic and Foundations; Logic; Order, Lattices, Ordered Algebraic Structures; Discrete Mathematics in Computer Science; Artificial Intelligence; Mathematical Logic and Foundations; Logic; Order, Lattices, Ordered Algebraic Structures; Discrete Mathematics in Computer Science; Artificial Intelligence; Mathematics and Statistics; Mathematische Grundlagen; Philosophie: Logik; Algebra; Mathematik für Informatiker; Diskrete Mathematik; Künstliche Intelligenz; BB
Introduction. 1. Basic notions. 2. Chang completeness theorem. 3. Free MV-algebras. 4. Lukasiewicz INFINITY-valued calculus. 5. Ulam's game. 6. Lattice-theoretical properties. 7. MV-algebras and l-groups. 8. Varieties of MV-algebras. 9. Advanced topics. 10. Further Readings. Bibliography. Index.Andere boeken die eventueel grote overeenkomsten met dit boek kunnen hebben:
Laatste soortgelijke boek:
9780792360094 Algebraic Foundations of Many-Valued Reasoning (R. L. Cignoli)
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