Pykacz, Jarosław (2014) Can many-valued logic help to comprehend quantum phenomena? [Preprint]

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Abstract

Following Lukasiewicz, we argue that future non-certain events should be described with the use of many-valued, not 2-valued logic. The Greenberger - Horne - Zeilinger 'paradox' is shown to be an artifact caused by unjustified use of 2-valued logic while considering results of future non-certain events. Description of properties of quantum objects before they are measured should be performed with the use of propositional functions that form a particular model of infinitely-valued Lukasiewicz logic. This model is distinguished by specific operations of negation, conjunction and disjunction that are used in it.

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Item Type:	Preprint
Creators:	Creators Email ORCID Pykacz, Jarosław pykacz@mat.ug.edu.pl
Keywords:	quantum mechanics, Lukasiewicz logic, GHZ paradox
Subjects:	Specific Sciences > Physics > Quantum Mechanics
Depositing User:	Dr. Jarosław Pykacz
Date Deposited:	19 Aug 2014 17:42
Last Modified:	19 Aug 2014 17:42
Item ID:	10966
Subjects:	Specific Sciences > Physics > Quantum Mechanics
Date:	13 August 2014
URI:	https://philsci-archive.pitt.edu/id/eprint/10966

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