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 10 March 2003
  • Philosophy
  • Studies in History and Philosophy of Modern Physics
Decision-based Probabilities in the Everett Interpretation: Comments on Wallace and Greaves
It is often objected that the Everett interpretation of QM cannot make adequate sense of quantum probabilities, in one or both of two senses: either it cannot make sense of probability at all, or
Probability in the Everett World: Comments on Wallace and Greaves
It is often objected that the Everett interpretation of QM cannot make sense of quantum probabilities, in one or both of two ways: either it can’t make sense of probability at all, or it can’t
Understanding Deutsch's probability in a deterministic multiverse
Decisions, Decisions, Decisions: Can Savage Salvage Everettian Probability?
Critics object that the Everett view cannot make sense of quantum probabilities, in one or both of two ways: either it cannot make sense of probability at all, or it cannot explain why probability
Everettian Probabilities, The Deutsch-Wallace Theorem and the Principal Principle
  • H. Brown, G. Porath
  • Philosophy
    Jerusalem Studies in Philosophy and History of Science
  • 2020
This paper is concerned with the nature of probability in physics, and in quantum mechanics in particular. It starts with a brief discussion of the evolution of Itamar Pitowsky’s thinking about
On an argument of David Deutsch
We analyse an argument of Deutsch, which purports to show that the deterministic part of classical quantum theory together with deterministic axioms of classical decision theory, together imply that
In defence of Everettian decision theory
  • James Read
  • Philosophy
    Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics
  • 2018
A formal proof of the Born rule from decision-theoretic assumptions
I develop the decision-theoretic approach to quantum probability, originally proposed by David Deutsch, into a mathematically rigorous proof of the Born rule in (Everett-interpreted) quantum
Objective Probability in Everettian Quantum Mechanics
  • Alastair Wilson
  • Philosophy
    The British Journal for the Philosophy of Science
  • 2013
David Wallace has given a decision-theoretic argument for the Born Rule in the context of Everettian quantum mechanics (EQM). This approach promises to resolve some long-standing problems with
Analysis of Wallace’s Proof of the Born Rule in Everettian Quantum Mechanics: Formal Aspects
TLDR
A new presentation of Wallace’s proof of the Born rule via decision theory is provided, reorganized to simplify some arguments, and analyzed from a formal perspective.
...
...

References

SHOWING 1-10 OF 38 REFERENCES
Everett and structure
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 classical
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's
Worlds in the Everett interpretation
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 between
'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,
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 einselected
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 for
Time, quantum mechanics, and decoherence
TLDR
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
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
...
...