Abstract
As it is known, neither classical logical conjunction "and" nor classical logical alternative "either...or" can replace "+" representing a linear superposition of two quantum states. Therefore, to provide a logical account of the quantum superposition, one must either reconsider the standard interpretation of quantum mechanics (making it fit for classical bivalent logic) or replace the standard logic with a deviant logic suitable for describing the superposition. In this paper, a supervaluation approach to the description of the quantum superposition is considered. In accordance with this approach, the indefinite propositions, which correspond to the superposition states, lack truth-values of any kind, even granting that their compounds (such as logical alternative "either...or") can have truth-values. As an illustration, the supervaluationist account of the superposition of spin states is presented.
Original language | English |
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Article number | 122106 |
Journal | Journal of Mathematical Physics |
Volume | 58 |
Issue number | 12 |
DOIs | |
State | Published - 1 Dec 2017 |
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Mathematical Physics