Abstract

Interpretations of the quantum mechanical formalism true to the spirit of scientific realism satisfy not only principles of scientific realism but also principles of causality that guide realist constructions. Formally, such interpretations are hidden variables theories and are commonly believed to be ruled out by the most recent no-hidden-variables argument expressed by Bell's theorem. This dissertation investigates the possibility of constructing indeterministic hidden variables theories in light of Bell's result. A pair of arguments in the literature lead to the conclusion that there is no generality to be gained in moving to the stochastic case. The author uses limitations on measurements discovered by Wigner as the basis for a response to both. Proofs of the existence of the limitations are analyzed and it is shown that, contrary to claims in the literature, we cannot always assume that measurements subject to the limitations are perfectly revealing and, therefore, that the assumption of strict anti-correlations, an assumption crucial to one of those arguments, is unjustified in the Bell case. The author suggests how Bell's 1971 inequality must be modified to incorporate these limitations . This result is used against the second argument, due to Fine, which relies on Bell's 1971 inequality. A thought experiment due to Jarrett is reviewed and it is argued that the independence assumptions incorporated into hidden variables theories are not without additional and controversial assumptions about causality related to constraints imposed by the special theory of relativity. The author concludes that Bell's theorem tells us nothing about determinism or special relativity but does tell us that there can be no interpretation of quantum mechanics that does not violate either one of three principles of scientific realism or one of three traditional principles of causality