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}
}
  • D. Wallace
  • Published 2003
  • Philosophy, Physics
  • Studies in History and Philosophy of Modern Physics
An analysis is made of Deutsch's recent claim to have derived the Born rule from decision-theoretic assumptions. It is argued that Deutsch's proof must be understood in the explicit context of the Everett interpretation, and that in this context, it essentially succeeds. Some comments are made about the criticism of Deutsch's proof by Barnum, Caves, Finkelstein, Fuchs, and Schank; it is argued that the flaw which they point out in the proof does not apply if the Everett interpretation is… Expand
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References

SHOWING 1-10 OF 43 REFERENCES
Quantum Probability and Decision Theory, Revisited
An extended analysis is given of the program, originally suggested by Deutsch, of solving the probability problem in the Everett interpretation by means of decision theory. Deutsch's own proof isExpand
Time, Quantum Mechanics, and Probability
TLDR
It is shown that the relational theory needs nothing more than the physical, minimal criterion of identity as defined by Everett's theory, and that this can be transparently interpreted in terms of the ordinary notion of the chance occurrence of an event, as witnessed in the present. Expand
Everett and structure
I address the problem of indefiniteness in quantum mechanics: the problem that the theory, without changes to its formalism, seems to predict that macroscopic quantities have no definite values. TheExpand
Quantum probability from decision theory?
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 classicalExpand
Comment on Lockwood
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'sExpand
Worlds in the Everett interpretation
This is a discussion of how we can understand the world-view given to us by the Everett interpretation of quantum mechanics, and in particular the role played by the concept of `world'. The viewExpand
Why am I me? and why is my world so classical?
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 betweenExpand
'Many Minds' Interpretations of Quantum Mechanics
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,Expand
Decoherence, einselection and the existential interpretation (the rough guide)
  • W. Zurek
  • Physics
  • Philosophical 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 einselectedExpand
On Many-Minds Interpretations of Quantum Theory
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 forExpand
...
1
2
3
4
5
...