Everettian Rationality: defending Deutsch's approach to probability in the Everett interpretation
@article{Wallace2003EverettianRD, title={Everettian Rationality: defending Deutsch's approach to probability in the Everett interpretation}, author={D. Wallace}, journal={Studies in History and Philosophy of Modern Physics}, year={2003}, volume={34}, pages={415-439} }
167 Citations
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References
SHOWING 1-10 OF 38 REFERENCES
Quantum probability from decision theory?
- PhilosophyProceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences
- 2000
In a recent paper, Deutsch claims to derive the ‘probabilistic predictions of quantum theory’ from the ‘non–probabilistic axioms of quantum theory’ and the ‘nonprobabilistic part of classical…
Comment on Lockwood
- Philosophy
- 1996
At the philosophical foundations of our best and deepest theory of the structure of reality, namely quantum mechanics, there is an intellectual scandal that reflects badly on most of this century's…
Why am I me? and why is my world so classical?
- Philosophy
- 2000
This is an attempt to apply Nagel’s distinction between internal and external statements to the interpretation of quantum mechanics. I propose that this distinction resolves the contradiction between…
'Many Minds' Interpretations of Quantum Mechanics
- Physics
- 1996
Seventy years after the discovery of modern quantum mechanics, there is still no consensus as to how the theory should be understood. The philosophies of Niels Bohr and of the logical positivists,…
Decoherence, einselection and the existential interpretation (the rough guide)
- PhysicsPhilosophical Transactions of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences
- 1998
The roles of decoherence and environment–induced superselection in the emergence of the classical from the quantum substrate are described. The stability of correlations between the einselected…
On Many-Minds Interpretations of Quantum Theory
- Philosophy
- 1997
This paper is a response to some recent discussions of many-minds interpretations in the philosophical literature. After an introduction to the many-minds idea, the complexity of quantum states for…
Time, quantum mechanics, and decoherence
- PhilosophySynthese
- 2005
The solution proposed here is to treat both tense and value-definiteness as relational properties or “facts as relations”; likewise the notions of change and probability.
A SUGGESTED INTERPRETATION OF THE QUANTUM THEORY IN TERMS OF "HIDDEN" VARIABLES. II
- Physics
- 1952
In this paper, we shall show how the theory of measurements is to be understood from the point of view of a physical interpretation of the quantum theory in terms of hidden variables developed in a…