Quantum logics

R. J. Greechie

Stanley P. Gudder

pp. 545-575

in: Clifford A. Hooker (ed), The logico-algebraic approach to quantum mechanics I, Berlin, Springer, 1975

Abstract

Although the authors have great interest in physics and philosophy we are not "experts' in these fields; moreover our primary interest (and training) is in mathematics. For these reasons our presentation is essentially mathematical in nature. We realize that, when one presents an approach which purports to deal with physical situations, physical justifications should be given for one's assumptions. If further this approach has philosophical ramifications then one ought to discuss these ramifications. In this paper we shall attempt to motivate the assumptions made; however, we shall minimize discussion of the philosophical import of these assumptions.