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- W2020071174 abstract "The trouble with the philosophy of quantum mechanics, I'm told, is that as soon as you've found a position, you lose your momentum.' Three very different books by philosophers on quantum mechanics have recently appeared in print. Peter Gibbin's Particles and Paradoxes is a splendid introduction to current problems in the field, suitable as an introductory text. Subtitled 'The Limits of Quantum Logic', it concludes with a lengthy essay on what quantum logic can and can't do. Michael Redhead's book, Incompleteness, Nonlocality and Realism: A Prolegomenon to the Philosophy of Quantum Mechanics, covers much the same ground at an advanced level. Here, too, the aim is to acquaint the reader with the important new work that has emerged over the past twenty years or so, following the seminal results of Bell and of Kochen and Specker in the sixties. The book reflects the considerable contribution by Redhead himself to the debate on the foundations of quantum mechanics, and I would regard it as the definitive study of what we have learnt about interpretative positions that no longer appear viable. The Metaphysics of Quantum Theory by Henry Krips has more ambitious aspirations, and claims to provide a new realist interpretation of quantum mechanics that resolves the measurement problem and other puzzles and paradoxes of the theory. I must confess to a certain feeling of awe for anyone who can juggle seventy one 'principles' (usefully collected for the reader at the end of the book-count theml) but, mindful of the uncertainty principle that applies here, I am rather less sanguine about the merits of the interpretation. It is not hard to see why quantum mechanics is conceptually puzzling. The theory incorporates an algorithm (formulated in terms of the geometry of Hilbert space) for assigning probabilities to events, or propositions, or ranges of values of physical magnitudes (the dynamical variables or 'observables' of the theory). This algorithm resists the representation of the probabilities generated by the statistical states (quantum states) as measures over what might be termed 'property states': assignments of values to the physical magnitudes, or 'lists' of properties, or assignments of truth values to the propositions of the system. Formally, such a property state might be represented by an ultrafilter in an" @default.
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- W2020071174 title "The Philosophy of Quantum Mechanics" @default.
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- W2020071174 doi "https://doi.org/10.1093/bjps/40.2.191" @default.
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