Quantum set theory extending the standard probabilistic interpretation of quantum theory
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Publication:1670508
DOI10.1007/s00354-016-0205-2zbMath1396.81011arXiv1504.06838OpenAlexW3102911441MaRDI QIDQ1670508
Publication date: 5 September 2018
Published in: New Generation Computing (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1504.06838
General and philosophical questions in quantum theory (81P05) General theory of von Neumann algebras (46L10) Quantum measurement theory, state operations, state preparations (81P15) Logical foundations of quantum mechanics; quantum logic (quantum-theoretic aspects) (81P10)
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Quantum set theory: transfer principle and De Morgan's laws ⋮ Operational Meanings of Orders of Observables Defined through Quantum Set Theories with Different Conditionals ⋮ Nondistributivity of human logic and violation of response replicability effect in cognitive psychology ⋮ Entanglement of observables: quantum conditional probability approach ⋮ Heisenberg's uncertainty conditions for various higher order probability distribution functions based on Budiyono-Rohrlich statistical model of quantum mechanics ⋮ A BRIDGE BETWEEN Q-WORLDS ⋮ ORTHOMODULAR-VALUED MODELS FOR QUANTUM SET THEORY ⋮ Quantum like modeling of decision making: quantifying uncertainty with the aid of Heisenberg-Robertson inequality ⋮ Reforming Takeuti's quantum set theory to satisfy De Morgan's laws ⋮ Quantum probability for modeling cognition, decision making, and artificial intelligence ⋮ Conditional probability framework for entanglement and its decoupling from tensor product structure
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