Charting the labyrinth of Bell-type theorems

Tomasz Placek



The objective of the paper is to present a comprehensive picture of Bell-type theorems, by giving both the theorems and the proofs of them.Special care is given to specifying the assumptions of the arguments and their physical or metaphysical significance. Taking the EPR argument as a point of departure, the paper discusses four probabilitic Bell-type theorems,which are then followed by two versions on non-probailitic (GHZ) arguments.The final section provides the reader with a classification of the assumptions, which specifies which assumption is used in which proof.

Full Text:



Bell J., “On the Einstein-Podolski-Rosen paradox”, Physics 1 (1964), 195–200.

Brody T.: The Philosophy Behind Physics, Springer Verlag, Berlin 1993.

Huelga S., Ferrero M., Santos E.: “Loophole-free test of the Bell inequality”, Phys Rev A 51(6), 1995, p. 5008.

Aspect A., Grangier P., Roger G., “Experimental tests of realistic local theories via Bell’s Theorem”, Phys. Rev. Lett. 47, 460–467.

Aspect A., Grangier P., Roger G., “Experimental realization of Einstein-Podolsky-Rosen-Bohm Gedankenexperiment”, Phys. Rev. Lett. 48, 91–94.

Readhead M., Incompleteness Nonlocality and Realism, Clarendon Press, Oxford 1987.

Einstein A., Podolski B., Rosen N.: Phys. Rev. A 47 (1935).

Bohm A.: Quantum Theory, Prentice-Hall, Englewood Cliffs NJ, 1951.

ISSN: 1425-3305 (print version)

ISSN: 2300-9802 (electronic version)

Partnerzy platformy czasopism