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@ARTICLE{Hess:817903,
      author       = {Hess, Karl and De Raedt, Hans and Michielsen, Kristel},
      title        = {{F}rom {B}oole to {L}eggett-{G}arg: {E}pistemology of
                      {B}ell-{T}ype {I}nequalities},
      journal      = {Advances in mathematical physics},
      volume       = {2016},
      issn         = {1687-9139},
      address      = {New York, NY [u.a.]},
      publisher    = {Hindawi Publ. Corp.},
      reportid     = {FZJ-2016-04501},
      pages        = {4623040},
      year         = {2016},
      abstract     = {In 1862, George Boole derived an inequality for variables
                      that represents a demarcation line between possible and
                      impossible experience. This inequality forms an important
                      milestone in the epistemology of probability theory and
                      probability measures. In 1985 Leggett and Garg derived a
                      physics related inequality, mathematically identical to
                      Boole’s, that according to them represents a demarcation
                      between macroscopic realism and quantum mechanics. We show
                      that a wide gulf separates the “sense impressions” and
                      corresponding data, as well as the postulates of macroscopic
                      realism, from the mathematical abstractions that are used to
                      derive the inequality of Leggett and Garg. If the gulf can
                      be bridged, one may indeed derive the said inequality, which
                      is then clearly a demarcation between possible and
                      impossible experience: it cannot be violated and is not
                      violated by quantum theory. This implies that the
                      Leggett-Garg inequality does not mean that the SQUID flux is
                      not there when nobody looks, as Leggett and Garg suggest,
                      but instead that the probability measures may not be what
                      Leggett and Garg have assumed them to be, when no data can
                      be secured that directly relate to them. We show that
                      similar considerations apply to other quantum
                      interpretation-puzzles such as two-slit experiments.},
      cin          = {JSC},
      ddc          = {530},
      cid          = {I:(DE-Juel1)JSC-20090406},
      pnm          = {511 - Computational Science and Mathematical Methods
                      (POF3-511)},
      pid          = {G:(DE-HGF)POF3-511},
      typ          = {PUB:(DE-HGF)16},
      UT           = {WOS:000382628800001},
      doi          = {10.1155/2016/4623040},
      url          = {https://juser.fz-juelich.de/record/817903},
}