Abstract
It is shown that there exist observablesA and Borel setsE such that the procedure “measureA and give as output the number 1 (0) if theA measurement outcome is (is not) inE” does not correspond to a measurement of the proposition observable ℰA(E) usually assigned to such procedures. This result is discussed in terms of limitations on choice powers of observers.
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References
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Work performed under the auspices of the U.S. Atomic Energy Commission.
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Benioff, P. On procedures for the measurement of questions in quantum mechanics. Found Phys 5, 251–255 (1975). https://doi.org/10.1007/BF00717441
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DOI: https://doi.org/10.1007/BF00717441