Abstract
We show a correspondence between a predicative characterization of quantum states, we have recently introduced, and bi-logic, proposed by the Chilean psychoanalyst I. Matte Blanco. In bi-logic, the logic of the unconscious is characterized by “infinite” objects and by the “symmetric mode”, without negation and logical consequence. In the quantum model it is possible to define a class of first order domains, called virtual singletons, that are uncountable, and that allow a generalization of the notion of duality, called symmetry. Symmetry makes negation and logical consequence collapse, in favour of different links between judgements, that are due to quantum correlations.
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Work partially supported by the ex-\(60\,\%\) funds of the University of Padova.
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Notice that the premises in \(\varGamma \) do not depend on the variable \(z\), since the measurement hypothesis cannot depend on its eventual outcome.
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Acknowledgements
The present note has been written some years after the valuable suggestion by Stuart Hameroff, who proposed to compare quantum logics and Matte Blanco’s bi-logic. His suggestion became more and more significant to me with the development of the predicative model here considered.
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Battilotti, G. (2014). A Predicative Characterization of Quantum States and Matte Blanco’s Bi-logic. In: Atmanspacher, H., Haven, E., Kitto, K., Raine, D. (eds) Quantum Interaction. QI 2013. Lecture Notes in Computer Science(), vol 8369. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-54943-4_16
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