Quantum mechanics vs local realism near the classical limit: A Bell inequality for spins

The quantitative quantum-mechanical analysis of the Einstein-Podolsky-Rosen experiment for correlated particles of arbitrary spin $s$ is shown to contradict a generalized form of Bell's inequality, for suitable orientations of the detectors. As the classical ($s\to \infty$) limit is approached, the range of angles for which the contradiction arises vanishes as $\frac{1}{s}$.