Quantum correlations violate Einstein-Podolsky-Rosen assumptions

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Abstract
The inconsistency between quantum mechanics and Einstein-Podolsky-Rosen assumptions about locality and reality cannot be avoided by restricting attention to correlations. This is demonstrated by reworking the logical scheme that was developed to show inconsistency without inequalities for two particles, adapting it to correlations in two pairs of particles, so the Einstein-Podolsky-Rosen arguments can be made entirely in terms of correlations. A simple example is given.