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...

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<

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...

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<

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...

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<

2010, ISBN: 9789048153367

pocketboek

[ED: Kartoniert / Broschiert], [PU: Springer Netherlands], Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Introduction. 1. Basic notions.… Meer...

[ED: Kartoniert / Broschiert], [PU: Springer Netherlands], Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Introduction. 1. Basic notions. 2. Chang completeness theorem. 3. Free MV-algebras. 4. Lukasiewicz INFINITY-valued calculus. 5. Ulam s game. 6. Lattice-theo, DE, [SC: 0.00], Neuware, gewerbliches Angebot, Taschenbuch, 233, [GW: 379g], 1. Auflage, Banküberweisung, PayPal<

2010, ISBN: 9789048153367

Buch, Softcover, Softcover reprint of hardcover 1st ed. 2000, [PU: Springer], Springer, 2010