Abstract
Following {\L}ukasiewicz, 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 {\L}ukasiewicz logic. This model is distinguished by specific operations of negation, conjunction, and disjunction that are used in it.
Highlights
IntroductionZawirski in his papers published in 1931 [24] and in 1932 [25] argued that Bohr’s complementarity could be comprehended only on the ground of at least 3-valued logic since according to classical 2-valued logic a proposition ‘light is a wave and light consists of particles’ is a conjunction of two propositions that cannot be simultaneously true, it is false
In the history of physics there were already several moments when stubborn sticking to old and up to that date efficient ideas or models could have stopped the development of our understanding of the Reality
The aim of the present paper is to argue that abandoning two-valued logic in favor of many-valued one while considering properties of quantum objects prior to their measurements, as ‘revolutionary’ as the changes of paradigms listed above, could be indispensable in order to free quantum mechanics from some of its recently widely discussed paradoxes
Summary
Zawirski in his papers published in 1931 [24] and in 1932 [25] argued that Bohr’s complementarity could be comprehended only on the ground of at least 3-valued logic since according to classical 2-valued logic a proposition ‘light is a wave and light consists of particles’ is a conjunction of two propositions that cannot be simultaneously true, it is false. The idea that some version of many-valued logic could be useful to explain quantum phenomena was further on pursued by Fritz Zwicky [26], Paulette Destouches-Fevrier [3, 4], Hans Reichenbach [19,20,21,22], Hilary Putnam [14] and Carl Friedrich von Weizsacker [23]. We choose the Greenberger-Horne-Zeilinger ‘paradox’ [5] (see [11]) as a typical representative of them
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
