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A simple proof of Bell's inequality based on elementary set theory

Bell's inequality has been considered one of deepest results of science. Due to its importance, several works have attempted to make it accessible to non-specialists. In this article we present a new proof of Bell's inequality based on elementary set theory, which stands out for its mathematical simplicity. The exposition is mainly intended for both graduate and undergraduate physics students. The article places particular emphasis on clarifying the meaning and implications of Bell's theorem in the context of the Einstein-Podolsky-Rosen-Bohm paradox.

Keywords:
Bell's inequality; EPRB paradox; Wigner-d'Espagnat's inequality


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