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The Paraconsistent Approach to Quantum Superpositions Reloaded: Formalizing Contradictiory Powers in the Potential Realm

da Costa, Newton C. A. and de Ronde, Christian (2015) The Paraconsistent Approach to Quantum Superpositions Reloaded: Formalizing Contradictiory Powers in the Potential Realm. [Preprint]

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Abstract

In [7] the authors of this paper argued in favor of the possibility to consider a Paraconsistent Approach to Quantum Superpositions (PAQS). We claimed that, even though most interpretations of quantum mechanics (QM) attempt to escape contradictions, there are many hints -coming from present technical and experimental developments in QM- that indicate it could be worth while to engage in a research of this kind. Recently, Arenhart and Krause have raised several arguments against the PAQS [1, 2, 3]. In [11, 12] it was argued that their reasoning presupposes a metaphysical stance according to which the physical representation of reality must be exclusively considered in terms of the equation: Actuality = Reality. However, from a different metaphysical standpoint their problems disappear. It was also argued that, if we accept the idea that quantum superpositions exist in a (contradictory) potential realm, it makes perfect sense to develop QM in terms of a paraconsistent approach and claim that quantum superpositions are contradictory, contextual existents. Following these ideas, and taking as a standpoint an interpretation in terms of the physical notions of power and potentia put forward in [10, 12, 15], we present a paraconsistent formalization of quantum superpositions that attempts to capture the main features of QM.


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Item Type: Preprint
Creators:
CreatorsEmailORCID
da Costa, Newton C. A.
de Ronde, Christiancderonde@gmail.com
Keywords: quantum superpositions, paraconsistent logics, powers, potentiality.
Subjects: Specific Sciences > Physics > Quantum Mechanics
Depositing User: Christian de Ronde
Date Deposited: 10 Jul 2015 14:28
Last Modified: 10 Jul 2015 14:28
Item ID: 11561
Subjects: Specific Sciences > Physics > Quantum Mechanics
Date: 9 July 2015
URI: https://philsci-archive-dev.library.pitt.edu/id/eprint/11561

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