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List of figures | ||
List of tables | ||
Preface | ||
Acknowledgments | ||
Pt. I | Mathematical and physical background | 1 |
Ch. 1 | The mathematical scenario of quantum theory and von Neumann's axiomatization | 9 |
Ch. 2 | Abstract axiomatic foundations of sharp QT | 41 |
Ch. 3 | Back to Hilbert space | 65 |
Ch. 4 | The emergence of fuzzy events in Hilbert space quantum theory | 75 |
Ch. 5 | Effect algebras and quantum MV algebras | 87 |
Ch. 6 | Abstract axiomatic foundations of unsharp quantum theory | 115 |
Ch. 7 | To what extent is quantum ambiguity ambiguous? | 137 |
Pt. II | Quantum logics as logic | 147 |
Ch. 8 | Sharp quantum logics | 155 |
Ch. 9 | Metalogical properties and anomalies of quantum logic | 171 |
Ch. 10 | An axiomatization of OL and OQL | 179 |
Ch. 11 | The metalogical intractability of orthomodularity | 185 |
Ch. 12 | First-order quantum logics and quantum set theories | 193 |
Ch. 13 | Partial classical logic, the Lindenbaum property and the hidden variable problem | 201 |
Ch. 14 | Unsharp quantum logics | 217 |
Ch. 15 | The Brouwer Zadeh logics | 225 |
Ch. 16 | Partial quantum logics and Lukasiewicz' quantum logic | 237 |
Ch. 17 | Quantum computational logic | 249 |
Conclusions | 267 | |
Synoptic tables | 271 | |
Bibliography | 275 | |
Index of symbols | 283 | |
Subject index | 287 | |
Index of names | 293 |
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