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  1.  10
    Anthony Sudbery (forthcoming). The Logic of the Future in Quantum Theory. Synthese:1-25.
    According to quantum mechanics, statements about the future made by sentient beings like us are, in general, neither true nor false; they must satisfy a many-valued logic. I propose that the truth value of such a statement should be identified with the probability that the event it describes will occur. After reviewing the history of related ideas in logic, I argue that it gives an understanding of probability which is particularly satisfactory for use in quantum mechanics. I construct a lattice (...)
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  2.  8
    Anthony Sudbery, Philosophical Lessons of Entanglement.
    The quantum-mechanical description of the world, including human observers, makes substantial use of entanglement. In order to understand this, we need to adopt concepts of truth, probability and time which are unfamiliar in modern scientific thought. There are two kinds of statements about the world: those made from inside the world, and those from outside. The conflict between contradictory statements which both appear to be true can be resolved by recognising that they are made in different perspectives. Probability, in an (...)
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  3.  22
    Paul Butterley, Anthony Sudbery & Jason Szulc (2006). Compatibility of Subsystem States. Foundations of Physics 36 (1):83-101.
    We examine the possible states of subsystems of a system of bits or qubits. In the classical case (bits), this means the possible marginal distributions of a probability distribution on a finite number of binary variables; we give necessary and sufficient conditions for a set of probability distributions on all proper subsets of the variables to be the marginals of a single distribution on the full set. In the quantum case (qubits), we consider mixed states of subsets of a set (...)
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    Anthony Sudbery, Einstein and Tagore, Newton and Blake, Everett and Bohr: The Dual Nature of Reality.
    There are two broad opposing classes of attitudes to reality with corresponding attitudes to knowledge. I argue that these attitudes can be compatible, and that quantum theory requires us to adopt both of them.
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  5.  28
    Anthony Sudbery, The Everett-Wheeler Interpretation and the Open Future.
    I discuss the meaning of probability in the Everett-Wheeler interpretation of quantum mechanics, together with the problem of defining histories. To resolve these, I propose an understanding of probability arising from a form of temporal logic: the probability of a future-tense proposition is identified with its truth value in a many-valued and context-dependent logic. In short, probability is degree of truth. These ideas appear to be new, but they are natural and intuitive, and relate to traditional naive ideas of time (...)
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  6. Anthony Sudbery (2002). Diese Verdammte Quantenspringerei. Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 33 (3):387-411.
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