We formally prove the existence of an enduring incongruence pervading a widespread interpretation of the Bell inequality and explain how to rationally avoid it with a natural assumption justified by explicit reference to a mathematical property of Bell’s probabilistic model. Although the amendment does not alter the relevance of the theorem regarding local realism, it brings back Bell theorem from the realm of philosophical discussions about counterfactual conditionals to the concrete experimental arena.

中文翻译：

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贝尔不等式、反事实确定性和可证伪性

我们正式证明了在贝尔不等式的广泛解释中普遍存在持久的不一致，并解释了如何通过明确参考贝尔概率模型的数学属性来证明的自然假设合理地避免它。尽管该修正案并未改变该定理关于局部实在论的相关性，但它将贝尔定理从关于反事实条件的哲学讨论领域带回到了具体的实验领域。