1. ‘On the Extension of Beth’s Semantics of Physical Theories’, Philosophy of Science
37 (1970), 325–339; and ‘The Labyrinth of Quantum Logics’, this volume. For the semantic approach adopted in these papers, see my Formal Semantics and Logic Macmillan, New York, 1971.
2. G. Birkhoff and J. von Neumann, ‘The Logic of Quantum Mechanics’, Annals of Mathematics
37 (1936), 823–843; especially p. 825.
3. Cf. J. Jauch, Foundations of Quantum Mechanics Reading, Mass. Addison-Wesley, 1968, pp. 98–99;
4. and V. S. Varadarajan, Geometry of Quantum Theory vol. 1, Van Nostrand, Princeton: 1968, pp. 108–111. Note that in the present context, h(m
b
({r})) = {
ϕ:m
e
(
ϕ) = r} i.e. the probability that m will be found to have value r in state ϕ equals 1 if and only if ϕ is an eigenstate of m corresponding to value r. There are reasons for not wishing to generalize upon this fact;
5. see D. L. Reisler, The Einstein Podolsky Rosen Paradox unpublished dissertation, Yale University, 1967, especially pp. 162–164.