## The Modal Interpretation of Quantum MechanicsDennis Dieks, Pieter E. Vermaas According to the modal interpretation, the standard mathematical framework of quantum mechanics specifies the physical magnitudes of a system, which have definite values. Probabilities are assigned to the possible values that these magnitudes may adopt. The interpretation is thus concerned with physical properties rather than with measurement results: it is a realistic interpretation (in the sense of scientific realism). One of the notable achievements of this interpretation is that it dissolves the notorious measurement problem. The papers collected here, together with the introduction and concluding critical appraisal, explain the various forms of the modal interpretation, survey its achievements, and discuss those problems that have yet to be solved. Audience: Philosophers of science, theoretical physicists, and graduate students in these disciplines. |

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### Contents

LORENTZINVARIANCE IN MODAL INTERPRETATIONS | 9 |

LOCALITY AND LORENTZCOVARIANCE IN THE MODAL INTERPRETATION OF QUANTUM MECHANICS | 49 |

VALUATIONS ON FUNCTIONALLY CLOSED SETS OF QUANTUM MECHANICAL OBSERVABLES AND VON NEUMANNS NOHIDDENVA... | 69 |

THE PROS AND CONS OF THE KOCHENDIEKS AND THE ATOMIC MODAL INTERPRETATION | 103 |

PROJECTION OPERATORS PROPERTIES AND IDEMPOTENT VARIABLES IN THE MODAL INTERPRETATIONS | 149 |

BOHMBELL DYNAMICS IN THE MODAL INTERPRETATION | 177 |

DISCONTINUITY AND CONTINUITY OF DEFINITE PROPERTIES IN THE MODAL INTERPRETATION | 213 |

HOW CLOSE IS CLOSE ENOUGH? | 223 |

DECOHERENCE IN BOHMIAN MODAL INTERPRETATIONS | 241 |

QUANTUM HISTORIES IN THE MODAL INTERPRETATION | 253 |

REMARKS ON UNSHARP QUANTUM OBSERVABLES OBJECTIFICATION AND MODAL INTERPRETATIONS | 279 |

ARE SHARP VALUES OF OBSERVABLES ALWAYS OBJECTIVE ELEMENTS OF REALITY? | 289 |

QUANTUMMECHANICAL SELFMEASUREMENT | 307 |

THE BARE THEORY AND HOW TO FIX IT | 319 |

A PERSONAL EVALUATION OF MODAL INTERPRETATIONS | 337 |

### Other editions - View all

The Modal Interpretation of Quantum Mechanics Dennis Dieks,Pieter E. Vermaas No preview available - 2012 |

The Modal Interpretation of Quantum Mechanics Dennis Dieks,Pieter E. Vermaas No preview available - 2012 |

### Common terms and phrases

Albert and Loewer apparatus argument ascribe assigned assume beliefs Bohm theory Bohm's Born rule Cathy Clifton close commutes condition consider core property ascription correlations corresponding decoherence decomposition defined definite properties definite value degeneracy Dennis Dieks density operator determinate Dickson Dieks dynamics eigenprojections eigenstates eigenvalue eigenvectors elementary sentences empirical environment evolution evolve example experiences fact follows frame given Haar measure Hamiltonian Healey Hilbert space histories hyperplane idempotent variables initial Interpretation of Quantum joint probabilities KD interpretation Kochen lattice Lorentz macroscopic measurement interaction measurement problem measuring device modal interpretation models momentum orthogonal outcomes particle Philosophy of Science physical pointer readings position possessed properties pretation projections projectors propositions quantum mechanics records x-spin represented result rule Section self-adjoint operators simultaneously solve the measurement spectral resolution stability subspace subsystems subvocalizes Suppose theorem tion transformation transition probabilities truth values unitary vectors Vermaas Vermaas-Dieks von Neumann algebra

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Page ii - ONTARIO SERIES IN PHILOSOPHY OF SCIENCE A SERIES OF BOOKS IN PHILOSOPHY OF SCIENCE, METHODOLOGY, EPISTEMOLOGY, LOGIC, HISTORY OF SCIENCE, AND RELATED FIELDS Managing Editor WILLIAM DEMOPOULOS Department of Philosophy, University of Western Ontario, Canada Managing Editor 1980-1997 ROBERT E. BUTTS Late, Department of Philosophy, University of Western Ontario, Canada Editorial Board JOHN L. BELL, University of Western Ontario JEFFREY BUB, University of Maryland ROBERT CLIFTON, University of Pittsburgh...