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Examples
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(It appears, in an infinitary form, as Mackey's axiom V; a related but stronger condition appears in the definition of a partial Boolean algebra in the work of Kochen and Specker [1965].)
Puppet X: 1 2009
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Kochen, S. (1985), ˜A new Interpretation of Quantum Mechanics™, in P. Mittelstaedt and P. Lahti (eds), Symposium on the Foundations of Modern P.ysics 1985 (Singapore: World Scientific), pp. 151-169.
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The same negative answer is provided much more simply by John Bell (1966) (but without the complete catalogue of probability functions achieved by Gleason), who also provides a positive answer to the question in the case of dimensionality 2; and independently these results were also achieved by Kochen and Specker (1967).
Bell's Theorem Shimony, Abner 2009
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Related Entries quantum mechanics | quantum mechanics: Kochen-Specker theorem | quantum theory: von Neumann vs. Dirac
Puppet X: 1 2009
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But that is impossible in view of the Bell-Kochen-Specker theorem.
Bell's Theorem Shimony, Abner 2009
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The first variant is due independently to Kochen and Specker (1967),
Bell's Theorem Shimony, Abner 2009
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The hidden-variables theories of Kochen and Specker (1967) are explicitly of this type.
Bell's Theorem Shimony, Abner 2009
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With Holzer as her mentor, Kochen too became a star of the Yiddish theater, first appearing in the Holzer production Be-Arvot ha-Negev (In the Negev Desert) in 1950.
Rokhl Holzer. 2009
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The strategy of Kochen and of Heywood-Redhead is to use the entangled state of Eq. (50) to predict the outcome of measuring sz2 for particle 2 (for any choice of z ) by measuring its counterpart on particle
Bell's Theorem Shimony, Abner 2009
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For other results to the same effect, see Kochen and Specker [1967], Gudder [1970], Holevo [1982], and, in a different direction, Pitowsky
Puppet X: 1 2009
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