de Ronde, Christian and Freytes, Hector and Domenech, Graciela (2014) Quantum mechanics and the interpretation of the orthomodular square of opposition. [Preprint]

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Abstract

In this paper we analyze and discuss the historical and philosophical development of the notion of logical possibility focusing on its specific meaning in classical and quantum mechanics. Taking into account the logical structure of quantum theory we continue our discussion regarding the Aristotelian Square of Opposition in orthomodular structures enriched with a monadic quantifier. Finally, we provide an interpretation of the Orthomodular Square of Opposition exposing the fact that classical possibility and quantum possibility behave formally in radically different manners.

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Item Type:	Preprint
Creators:	Creators Email ORCID de Ronde, Christian cderonde@gmail.com Freytes, Hector hfreytes@gmail.com Domenech, Graciela gradomenech@gmail.com
Additional Information:	To be published in "New dimensions of the square of opposition", Jean-Yves Béziau and Katarzyna Gan-Krzywoszynska (eds), Philosophia Verlag (Munich)
Keywords:	actuality, potentiality, physical property, quantum logic
Subjects:	Specific Sciences > Mathematics Specific Sciences > Physics > Quantum Mechanics
Depositing User:	Graciela Domenech
Date Deposited:	24 Apr 2014 17:04
Last Modified:	24 Apr 2014 17:04
Item ID:	10623
Subjects:	Specific Sciences > Mathematics Specific Sciences > Physics > Quantum Mechanics
Date:	2014
URI:	https://philsci-archive.pitt.edu/id/eprint/10623

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