 The differences between the different versions of the locality and no-nonspiracy conditions are conceptually significant and they are also crucial from the perspective of whether hypothetical common causes of EPR correlations can be ruled out by no-go theorems: The surface locality conditions are empirically testable due to the fact that all the events involved in it are observable. The hidden locality conditions involve the unobserved, hypothetical common cause events and, as a consequence, these locality conditions are not testable independently of the observation of the common causes. The interpretation of the no-conspiracy conditions is somewhat controversial: it declares as an implausible conspiracy on the part of nature if common causes influenced not only the outcomes of the EPR correlation experiments but also the choices of measuring in particular directions in the wings of the EPR experiment. These choices, we feel, are free, depending on the experimenter’s decision.