Monomania
发表于 2025-3-21 17:46:09
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返老还童
发表于 2025-3-21 21:58:51
What are Quantum Logics and What Ought They to be?dating, in the spirit of Leibniz, the physical theories that are of concern to us here. We feel that this has now been accomplished with a clarity and precision that has been wanting up to this point. As a consequence of this work, we feel qualified to submit our answer to the question in the title
没有准备
发表于 2025-3-22 02:23:44
Charting the Labyrinth of Quantum Logics: A Progress Reportbe interpreted as representing the propositions pertaining to a physical system. Subsequent research has attempted to clarify this suggestion, and a large assortment of mathematical systems have been investigated under the general rubric of quantum logic (QL).
Hallowed
发表于 2025-3-22 06:50:00
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厚颜
发表于 2025-3-22 12:40:03
What does Quantum Logic Explain?lves the transition from a propositional calculus forming a Boolean algebra to a propositional calculus which constitutes “a sort of projective geometry”.* For von Neumann, the significance of this thesis for the foundational problems of the theory lay in the possibility of regarding the projective
营养
发表于 2025-3-22 16:22:31
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营养
发表于 2025-3-22 17:43:12
The Quantum Logical and the Operational Description for Physical Systemsis the ordered vector space E consisting of the expectation value functions for the observables of the Quantum Logical description. The “questions” of logic will correspond to the set of all decision effects of E. Every element in E results by constructing the norm mean of some decision effect value
整洁
发表于 2025-3-23 01:17:39
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Crepitus
发表于 2025-3-23 02:52:21
Some Metalogical Pathologies of Quantum Logicof weaker logics. A particularly interesting property is represented by the Lindenbaum property (LP), according to which any non-contradictory set of sentences can be extended to a non-contradictory and . set, which for any sentence α has either α or the negation of α as its logical consequence. Fro
灾祸
发表于 2025-3-23 09:25:54
Quantum Logic as an Extension of Classical Logic. We know that implication is one of the more problematic quantum logical notions. One of the features of the present axiomatization is that we can take as QL implication the same classical implication or, by suitably changing the basic logical frame, the intuitionistic one. We can take, in general,