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Evgeniy Vol

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Papers by Evgeniy Vol

Research paper thumbnail of Quantum Look at two Common Logics: the logic of primitive Thinking and the Logic of Everyday Human reasoning

Based on ideas of quantum theory of open systems and psychological dual system theory we propose ... more Based on ideas of quantum theory of open systems and psychological dual system theory we propose two new versions of Non-Boolean logics.The first version can be interpreted as the simplified model of primitive thinking and the second one as the toy model of everyday human reasoning in which aside of logical deduction ,heuristic components and beliefs also play considirable role

Research paper thumbnail of Quantum Theory as a Relevant Framework for the Statement of Probabilistic and Many-Valued Logic

Based on ideas of quantum theory of open systems we propose the consistent approach to the formul... more Based on ideas of quantum theory of open systems we propose the consistent approach to the formulation of logic of plausible propositions. To this end we associate with every plausible proposition diagonal matrix of its likelihood and examine it as density matrix of relevant quantum system. We are showing that all logical connectives between plausible propositions can be represented as special positive valued transformations of these matrices. We demonstrate also the above transformations can be realized in relevant composite quantum systems by quantum engineering methods. The approach proposed allows one not only to reproduce and generalize results of wellknown logical systems (Boolean, Lukasiewicz and so on) but also to classify and analyze from unified point of view various actual problems in psychophysics and social sciences.

Research paper thumbnail of Quantum Look at two Common Logics: the logic of primitive Thinking and the Logic of Everyday Human reasoning

Based on ideas of quantum theory of open systems and psychological dual system theory we propose ... more Based on ideas of quantum theory of open systems and psychological dual system theory we propose two new versions of Non-Boolean logics.The first version can be interpreted as the simplified model of primitive thinking and the second one as the toy model of everyday human reasoning in which aside of logical deduction ,heuristic components and beliefs also play considirable role

Research paper thumbnail of Quantum Theory as a Relevant Framework for the Statement of Probabilistic and Many-Valued Logic

Based on ideas of quantum theory of open systems we propose the consistent approach to the formul... more Based on ideas of quantum theory of open systems we propose the consistent approach to the formulation of logic of plausible propositions. To this end we associate with every plausible proposition diagonal matrix of its likelihood and examine it as density matrix of relevant quantum system. We are showing that all logical connectives between plausible propositions can be represented as special positive valued transformations of these matrices. We demonstrate also the above transformations can be realized in relevant composite quantum systems by quantum engineering methods. The approach proposed allows one not only to reproduce and generalize results of wellknown logical systems (Boolean, Lukasiewicz and so on) but also to classify and analyze from unified point of view various actual problems in psychophysics and social sciences.

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