Logical inference derivation of the quantum theoretical description of Stern-Gerlach and Einstein-Podolsky-Rosen-Bohm experiments

It is shown that the quantum-theoretical descriptions of idealized Stern-Gerlach and Einstein-Podolsky-Rosen-Bohm experiments result from a logical inference treatment of robust experiments, without relying on concepts of quantum theory. For concreteness, the derivation is given for the case that the Stern-Gerlach magnet deflects the beam in three different directions, which in quantum theory corresponds to a description in terms of spin-1 particles. The logical inference description of the Einstein-Podolsky-Rosen-Bohm experiment is shown to contain the quantum theoretical description as a particular case.