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Titlebook: Reasoning in Quantum Theory; Sharp and Unsharp Qu M. Chiara,R. Giuntini,R. Greechie Book 2004 Springer Science+Business Media B.V. 2004 Alg

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发表于 2025-3-21 18:08:27 | 显示全部楼层 |阅读模式
书目名称Reasoning in Quantum Theory
副标题Sharp and Unsharp Qu
编辑M. Chiara,R. Giuntini,R. Greechie
视频videohttp://file.papertrans.cn/823/822497/822497.mp4
丛书名称Trends in Logic
图书封面Titlebook: Reasoning in Quantum Theory; Sharp and Unsharp Qu M. Chiara,R. Giuntini,R. Greechie Book 2004 Springer Science+Business Media B.V. 2004 Alg
描述"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.
出版日期Book 2004
关键词Algebraic structure; Lattice; algebra; axiomatization; quantum theory; semantics
版次1
doihttps://doi.org/10.1007/978-94-017-0526-4
isbn_softcover978-90-481-6562-9
isbn_ebook978-94-017-0526-4Series ISSN 1572-6126 Series E-ISSN 2212-7313
issn_series 1572-6126
copyrightSpringer Science+Business Media B.V. 2004
The information of publication is updating

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发表于 2025-3-21 23:33:52 | 显示全部楼层
Reasoning in Quantum Theory978-94-017-0526-4Series ISSN 1572-6126 Series E-ISSN 2212-7313
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Trends in Logichttp://image.papertrans.cn/r/image/822497.jpg
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The mathematical scenario of quantum theory and von Neumann’s axiomatizationIn his celebrated book . (von Neumann, 1932),. John von Neumann proposed an axiomatic version of sharp QT. This theory is often referred to as ..
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The emergence of fuzzy events in Hilbert space quantum theoryThe event-structures we have studied so far (both in the abstract and in the Hilbert space situation) are typically .: any event always satisfies the noncontradiction principle.
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Effect algebras and quantum MV algebrasIn Chapter 4 we have seen how the system of all effects in a Hilbert space gives rise to a “genuine” Brouwer Zadeh poset (which is neither an orthoposet nor a lattice). We will now study other interesting ways of structuring the set of all concrete effects. In particular, we will see how . and . naturally emerge from effect-systems.
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Abstract axiomatic foundations of unsharp quantum theoryIn the previous chapters we have studied the emergence of fuzzy events in the framework of Hilbert space QT. We now abstract from the Hilbert space formalism, paralleling the case of sharp QT, in order to obtain an abstract axiomatic foundation of unsharp QT.
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