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Scientific imagination and experimental ingenuity are at the heart ofphysics. One of the most known instances where this interplay between theory(i.e., foundations) and experiments (i.e., technology) occurs is in thediscussion of Bell's inequalities. In this paper, we present a revisitation ofthe violation of Bell's inequality in the Clauser-Horne-Shimony-Holt (CHSH)form with entangled quantum states. First, we begin with a discussion of the1935 Einstein-Podolski-Rosen (EPR) paradox (i.e., incompleteness of quantummechanics) that emerges from putting the emphasis on Einstein's locality andthe absolute character of physical phenomena. Second, we discuss Bell's 1971derivation of the 1969 CHSH form of the original 1964 Bell inequality in thecontext of a realistic local hidden-variable theory (RLHVT). Third, identifyingthe quantum-mechanical spin correlation coefficient with the RLHVT one, wefollow Gisin's 1991 analysis to show that quantum mechanics violates Bell'sinequality when systems are in entangled quantum states. For pedagogicalpurposes, we show how the extent of this violation depends both on theorientation of the polarizers and the degree of entanglement of the quantumstates. Fourth, we discuss the basics of the experimental verification ofBell's inequality in an actual laboratory as presented in the original 1982Aspect-Grangier-Roger (AGR) experiment. Finally, we provide an outline of someessential take home messages from this wonderful example of physics at itsbest.

Violation of Bell's Inequality in the Clauser-Horne-Shimony-Holt Form with Entangled Quantum States Revisited