Can many-valued logic help to comprehend quantum phenomena?

Abstract

Following Łukasiewicz, 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 Łukasiewicz logic. This model is distinguished by specific operations of negation, conjunction, and disjunction that are used in it.

10 pages, no figures

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