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Reasoning in Quantum Theory / Sharp and Unsharp Quantum Logics / Maria Luisa Dalla Chiara (u. a.) / Taschenbuch / Trends in Logic / Paperback / XXII / Englisch / 2010 / Springer Netherland - Dalla Chiara, Maria Luisa
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Reasoning in Quantum Theory / Sharp and Unsharp Quantum Logics / Maria Luisa Dalla Chiara (u. a.) / Taschenbuch / Trends in Logic / Paperback / XXII / Englisch / 2010 / Springer Netherland - pocketboek

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Maria Luisa Dalla Chiara:

Reasoning in Quantum Theory: Sharp and Unsharp Quantum Logics - nieuw boek

ISBN: 9789048165629

Is quantum logic really logic? This book argues for a positive answer to this question once and for all. There are many quantum logics and their structures are delightfully varied. The mo… Meer...

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Reasoning in Quantum Theory - Maria Luisa Dalla Chiara, Roberto Giuntini, Richard Greechie
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Reasoning in Quantum Theory ab 165.49 € als Taschenbuch: Sharp and Unsharp Quantum Logics Trends in Logic. Softcover reprint of hardcover 1st ed. 2004.. Aus dem Bereich: Bücher, Wissensch… Meer...

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Maria Luisa Dalla Chiara; Roberto Giuntini; Richard Greechie:
Reasoning in Quantum Theory - nieuw boek

ISBN: 9789048165629

Mathematics; Order, Lattices, Ordered Algebraic Structures; Quantum Physics; Mathematical Logic and Foundations; Philosophy of Science Algebraic structure, Lattice, algebra, axiomatizatio… Meer...

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Reasoning in Quantum Theory: Sharp and Unsharp Quantum Logics - pocketboek

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Reasoning in Quantum Theory: Sharp and Unsharp Quantum Logics Reasoning-in-Quantum-Theory~~Maria-Luisa-Dalla-Chiara Science>Mathematics>Mathematics Paperback, Springer Netherlands

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Reasoning in Quantum Theory: Sharp and Unsharp Quantum Logics (Trends in Logic)

"Is quantum logic really logic?" This book argues for a positive answer to this question once and for all. There are many quantum logics and their structures are delightfully varied. The most radical aspect of quantum reasoning is reflected in unsharp quantum logics, a special heterodox branch of fuzzy thinking. For the first time, the whole story of Quantum Logic is told; from its beginnings to the most recent logical investigations of various types of quantum phenomena, including quantum computation. Reasoning in Quantum Theory is designed for logicians, yet amenable to advanced graduate students and researchers of other disciplines.

Gedetalleerde informatie over het boek. - Reasoning in Quantum Theory: Sharp and Unsharp Quantum Logics (Trends in Logic)


EAN (ISBN-13): 9789048165629
ISBN (ISBN-10): 9048165628
Gebonden uitgave
pocket book
Verschijningsjaar: 2010
Uitgever: Springer-Verlag GmbH
320 Bladzijden
Gewicht: 0,512 kg
Taal: eng/Englisch

Boek bevindt zich in het datenbestand sinds 2012-02-22T14:30:40+01:00 (Amsterdam)
Detailpagina laatst gewijzigd op 2024-02-18T20:23:34+01:00 (Amsterdam)
ISBN/EAN: 9789048165629

ISBN - alternatieve schrijfwijzen:
90-481-6562-8, 978-90-481-6562-9
alternatieve schrijfwijzen en verwante zoekwoorden:
Auteur van het boek: giuntini, luisa
Titel van het boek: look sharp, what logics mean, luisa


Gegevens van de uitgever

Auteur: Maria Luisa Dalla Chiara
Titel: Trends in Logic; Reasoning in Quantum Theory - Sharp and Unsharp Quantum Logics
Uitgeverij: Springer; Springer Netherland
298 Bladzijden
Verschijningsjaar: 2010-12-06
Dordrecht; NL
Gedrukt / Gemaakt in
Gewicht: 0,498 kg
Taal: Engels
164,99 € (DE)

BC; Order, Lattices, Ordered Algebraic Structures; Hardcover, Softcover / Mathematik/Arithmetik, Algebra; Algebra; Verstehen; Algebraic structure; Lattice; algebra; axiomatization; quantum theory; semantics; Quantum Physics; Mathematical Logic and Foundations; Philosophy of Science; Order, Lattices, Ordered Algebraic Structures; Quantum Physics; Mathematical Logic and Foundations; Philosophy of Science; Quantenphysik (Quantenmechanik und Quantenfeldtheorie); Mathematik: Logik; Mathematische Grundlagen; Wissenschaftsphilosophie und -theorie; BB

List of Figures. List of Tables. Preface. Acknowledgements. I: Mathematical and Physical Background. Introduction. 1. The mathematical scenario of quantum theory and von Neumann's axiomatization. 1.1. Algebraic structures. 1.2. The geometry of quantum theory. 1.3. The axiomatization of orthodox QT. 1.4. The 'logic' of the quantum events. 1.5. The logico-algebraic approach to QT. 2. Abstract axiomatic foundations of sharp QT. 2.1. Mackey's minimal axiomatization of QT. 2.2. Events. 2.3. Event-state systems. 2.4. Event-state systems and preclusivity spaces. 3. Back to Hilbert space. 3.1. Events as closed subspaces. 3.2. Events as projections. 3.3. Hilbert event-state systems. 3.4. From abstract orthoposets of events to Hilbert lattices. 4. The emergence of fuzzy events in Hilbert space quantum theory. 4.1. The notion of effect. 4.2. Effect-Brouwer Zadeh posets. 4.3. MacNeille completions. 4.4. Unsharp preclusivity spaces. 5. Effect algebras and quantum MV algebras. 5.1. Effect algebras and Brouwer Zadeh effect algebras. 5.2. The Lukasiewwicz operations. 5.3. MV algebras and QMV algebras. 5.4. Quasi-linear QMV algebras and effect algebras. 6. Abstract axiomatic foundations of unsharp quantum theory. 6.1. A minimal axiomatization of unsharp QT. 6.2. The algebraic structure of abstract effects. 6.3. The sharply dominating principle. 6.4. Abstract unsharp preclusivity spaces. 6.5. Sharp and unsharp abstract quantum theory. 7. To what extent is quantum ambiguity ambiguous? 7.1. Algebraic notions of 'sharp'. 7.2. Probabilistic definitions of 'sharpness'. II: Quantum Logics as Logic. Introduction. 8. Sharp quantum logics. 8.1. Algebraic and Kripkean semantics for sharp quantum logics. 8.2. Algebraic and Kripkean realizations of Hilbert event-state systems. 8.3. The implication problem in quantum logic. 8.4. Five polynomial conditions. 8.5. The quantum logical conditional as a counterfactual conditional. 8.6. Implication-connectives. 9. Metalogical properties and anomalies of quantum logic. 9.1. The failure of the Lindenbaum properety. 9.2. A modal interpretation of sharp quantum logics. 10. An axiomatization of OL and OQL. 10.1. The calculi of OL and OQL. 10.2. The soundness and completeness theorems. 11. The metalogical intractability of orthomodularity. 11.1. Orthomodularity is not elementary. 11.2. The embeddability problem. 11.3. Hilbert quantum logic and the orthomodular law. 12. First-order quantum logics and quantum set theories. 12.1. First-order semantics. 12.2. Quantum set theories. 13. Partial classical logic, the Lindenbaum property and the hidden variable problem. 13.1. Partial classical logic. 13.2. Partial classical logic and the Lindenbaum property. 13.3. States on partial Boolean algebras. 13.4. The Lindenbaum property and the hidden variable problem. 14. Unsharp quantum logics. 14.1.

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