The paradox of Greenberger, Horne and Zeilinger (1989) (GHZ) (see also Greenberger et al (1990)) has shed new light on the debate on the foundations of quantum physics. Simply, the premises of the Einstein-Podolsky-Rosen (EPR) argument to show incompleteness of quantum mechanics, are inconsistent when applied to maximally entangled states of at least three particles. The EPR program breaks down at the very outset, as their definition of the elements of reality (via the perfect correlations and locality) is void for three or more entangled particles.