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The quantum measurement problem: State of play

In Dean Rickles (ed.), The Ashgate Companion to Contemporary Philosophy of Physics. Ashgate (2007)

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  1. Quantum Mechanics and Experience.[author unknown] - 1994 - Erkenntnis 40 (3):403-406.
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  • Mind in a physical world: An essay on the mind–body problem and mental causation.Jaegwon Kim - 1998 - MIT Press.
    This book, based on Jaegwon Kim's 1996 Townsend Lectures, presents the philosopher's current views on a variety of issues in the metaphysics of the mind...
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  • Chance in Physics: Foundations and Perspectives.Jean Bricmont & Others (eds.) - 2001 - Springer.
    This selection of reviews and papers is intended to stimulate renewed reflection on the fundamental and practical aspects of probability in physics.
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  • A subjectivist’s guide to objective chance.David K. Lewis - 2010 - In Antony Eagle (ed.), Philosophy of Probability: Contemporary Readings. New York: Routledge. pp. 263-293.
  • Reasons and Persons.Derek Parfit - 1984 - Oxford, GB: Oxford University Press.
    Challenging, with several powerful arguments, some of our deepest beliefs about rationality, morality, and personal identity, Parfit claims that we have a false view about our own nature. It is often rational to act against our own best interersts, he argues, and most of us have moral views that are self-defeating. We often act wrongly, although we know there will be no one with serious grounds for complaint, and when we consider future generations it is very hard to avoid conclusions (...)
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  • Conceptual Development of 20th Century Field Theories.Tian Yu Cao - 1997 - Cambridge University Press.
    From reviews of the hardback edition: a deep study of 20th century field ... of the conceptual origins and development of twentieth century field theories, ...
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  • Scientific Realism: How Science Tracks Truth.Stathis Psillos - 1999 - New York: Routledge.
    Scientific realism is the optimistic view that modern science is on the right track: that the world really is the way our best scientific theories describe it. In his book, Stathis Psillos gives us a detailed and comprehensive study which restores the intuitive plausibility of scientific realism. We see that throughout the twentieth century, scientific realism has been challenged by philosophical positions from all angles: from reductive empiricism, to instrumentalism and to modern sceptical empiricism. _Scientific Realism_ explains that the history (...)
     
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  • The Empirical Stance.Bas C. Van Fraassen - 2004 - New York: Yale University Press.
    What is empiricism and what could it be? Bas . van Fraassen, one of the world’s foremost contributors to philosophical logic and the philosophy of science, here undertakes a fresh consideration of these questions and offers a program for renewal of the empiricist tradition. The empiricist tradition is not and could not be defined by common doctrines, but embodies a certain stance in philosophy, van Fraassen says. This stance is displayed first of all in a searing, recurrent critique of metaphysics, (...)
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  • The Bare Theory Has No Clothes.Jeffrey Bub, Rob Clifton & Bradley Monton - 1998 - In Richard Healey & Geoffrey Hellman (eds.), Quantum Measurement: Beyond Paradox. University of Minnesota Press. pp. 32-51.
    We criticize the bare theory of quantum mechanics -- a theory on which the Schrödinger equation is universally valid, and standard way of thinking about superpositions is correct.
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  • A Materialist Theory of the Mind.D. M. Armstrong - 1968 - New York: Routledge. Edited by Ted Honderich.
    Breaking new ground in the debate about the relation of mind and body, David Armstrong's classic text - first published in 1968 - remains the most compelling and comprehensive statement of the view that the mind is material or physical. In the preface to this new edition, the author reflects on the book's impact and considers it in the light of subsequent developments. He also provides a bibliography of all the key writings to have appeared in the materialist debate.
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  • Worlds in the Everett interpretation.David Wallace - 2002 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 33 (4):637-661.
    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 view presented is that we are entitled to use 'many-worlds' terminology even if the theory does not specify the worlds in the formalism; this is defended by means of an extensive analogy with the concept of an 'instant' or moment of time in relativity, with the lack of (...)
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  • Solving the measurement problem: De broglie-Bohm loses out to Everett. [REVIEW]Harvey R. Brown & David Wallace - 2004 - Foundations of Physics 35 (4):517-540.
    The quantum theory of de Broglie and Bohm solves the measurement problem, but the hypothetical corpuscles play no role in the argument. The solution finds a more natural home in the Everett interpretation.
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  • Quantum probability from subjective likelihood: Improving on Deutsch's proof of the probability rule.David Wallace - 2007 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 38 (2):311-332.
    I present a proof of the quantum probability rule from decision-theoretic assumptions, in the context of the Everett interpretation. The basic ideas behind the proof are those presented in Deutsch's recent proof of the probability rule, but the proof is simpler and proceeds from weaker decision-theoretic assumptions. This makes it easier to discuss the conceptual ideas involved in the proof, and to show that they are defensible.
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  • Protecting cognitive science from quantum theory.David Wallace - 2004 - Behavioral and Brain Sciences 27 (5):636-637.
    The relation between micro-objects and macro-objects advocated by Kim is even more problematic than Ross & Spurrett (R&S) argue, for reasons rooted in physics. R&S's own ontological proposals are much more satisfactory from a physicist's viewpoint but may still be problematic. A satisfactory theory of macroscopic ontology must be as independent as possible of the details of microscopic physics.
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  • Non-locality and Gauge Freedom in Deutsch and Hayden’s Formulation of Quantum Mechanics.David Wallace & Christopher G. Timpson - 2007 - Foundations of Physics 37 (6):951-955.
    Deutsch and Hayden have proposed an alternative formulation of quantum mechanics which is completely local. We argue that their proposal must be understood as having a form of ‘gauge freedom’ according to which mathematically distinct states are physically equivalent. Once this gauge freedom is taken into account, their formulation is no longer local.
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  • In Defence of Naiveté: The Conceptual Status of Lagrangian Quantum Field Theory.David Wallace - 2006 - Synthese 151 (1):33-80.
    I analyse the conceptual and mathematical foundations of Lagrangian quantum field theory (QFT) (that is, the ‘naive’ (QFT) used in mainstream physics, as opposed to algebraic quantum field theory). The objective is to see whether Lagrangian (QFT) has a sufficiently firm conceptual and mathematical basis to be a legitimate object of foundational study, or whether it is too ill-defined. The analysis covers renormalisation and infinities, inequivalent representations, and the concept of localised states; the conclusion is that Lagrangian QFT (at least (...)
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  • Epistemology quantized: Circumstances in which we should come to believe in the Everett interpretation.David Wallace - 2006 - British Journal for the Philosophy of Science 57 (4):655-689.
    I consider exactly what is involved in a solution to the probability problem of the Everett interpretation, in the light of recent work on applying considerations from decision theory to that problem. I suggest an overall framework for understanding probability in a physical theory, and conclude that this framework, when applied to the Everett interpretation, yields the result that that interpretation satisfactorily solves the measurement problem. Introduction What is probability? 2.1 Objective probability and the Principal Principle 2.2 Three ways of (...)
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  • Everettian rationality: defending Deutsch's approach to probability in the Everett interpretation.David Wallace - 2003 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 34 (3):415-439.
    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 Schack; it is argued that the flaw which they point out in the proof does not apply if the Everett interpretation is assumed.
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  • Everett and structure.David Wallace - 2003 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 34 (1):87-105.
    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. The Everett interpretation is often criticised along these lines, and I shall argue that much of this criticism rests on a false dichotomy: that the macroworld must either be written directly into the formalism or be regarded as somehow illusory. By means of analogy with other areas of physics, I develop the (...)
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  • The Scientific Image by Bas C. van Fraassen. [REVIEW]Michael Friedman - 1982 - Journal of Philosophy 79 (5):274-283.
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  • The Empirical Stance.Bas C. Van Fraassen - 2002 - Yale University Press.
    What is empiricism and what could it be? Bas C. van Fraassen, one of the world's foremost contributors to philosophical logic and the philosophy of science, here undertakes a fresh consideration of these questions and offers a program for renewal of the empiricist tradition. The empiricist tradition is not and could not be defined by common doctrines but embodies a certain stance in philosophy, van Fraassen says. This stance is displayed first of all in a searing recurrent critique of metaphysics, (...)
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  • Time, quantum mechanics, and probability.Simon Saunders - 1998 - Synthese 114 (3):373-404.
    A variety of ideas arising in decoherence theory, and in the ongoing debate over Everett's relative-state theory, can be linked to issues in relativity theory and the philosophy of time, specifically the relational theory of tense and of identity over time. These have been systematically presented in companion papers (Saunders 1995; 1996a); in what follows we shall consider the same circle of ideas, but specifically in relation to the interpretation of probability, and its identification with relations in the Hilbert Space (...)
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  • Naturalizing Metaphysics.Simon Saunders - 1997 - The Monist 80 (1):44-69.
    The problem of measurement is usually thought of as a problem of physics. Certainly the straightforward solutions modify or supplement the basic equations. One might instead conclude that theories are only instruments for coördinating observable phenomena, and perhaps that is what Bohr’s Copenhagen interpretation really comes down to. For most of us this sort of “philosophical” resolution of the problem of measurement is not acceptable.
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  • Decoherence, relative states, and evolutionary adaptation.Simon Saunders - 1993 - Foundations of Physics 23 (12):1553-1585.
    We review the decoherent histories approach to the interpretation of quantum mechanics. The Everett relative-state theory is reformulated in terms of decoherent histories. A model of evolutionary adaptation is shown to imply decoherence. A general interpretative framework is proposed: probability and value-definiteness are to have a similar status to the attribution of tense in classical spacetime theory.
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  • Complementarity and Scientific Rationality.Simon Saunders - 2004 - Foundations of Physics 35 (3):417-447.
    Bohr’s interpretation of quantum mechanics has been criticized as incoherent and opportunistic, and based on doubtful philosophical premises. If so Bohr’s influence, in the pre-war period of 1927–1939, is the harder to explain, and the acceptance of his approach to quantum mechanics over de Broglie’s had no reasonable foundation. But Bohr’s interpretation changed little from the time of its first appearance, and stood independent of any philosophical presuppositions. The principle of complementarity is itself best read as a conjecture of unusually (...)
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  • Branching and Uncertainty.Simon Saunders & David Wallace - 2008 - British Journal for the Philosophy of Science 59 (3):293-305.
    Following Lewis, it is widely held that branching worlds differ in important ways from diverging worlds. There is, however, a simple and natural semantics under which ordinary sentences uttered in branching worlds have much the same truth values as they conventionally have in diverging worlds. Under this semantics, whether branching or diverging, speakers cannot say in advance which branch or world is theirs. They are uncertain as to the outcome. This same semantics ensures the truth of utterances typically made about (...)
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  • What to say to a skeptical metaphysician: A defense manual for cognitive and behavioral scientists.Don Ross & David Spurrett - 2004 - Behavioral and Brain Sciences 27 (5):603-627.
    A wave of recent work in metaphysics seeks to undermine the anti-reductionist, functionalist consensus of the past few decades in cognitive science and philosophy of mind. That consensus apparently legitimated a focus on what systems do, without necessarily and always requiring attention to the details of how systems are constituted. The new metaphysical challenge contends that many states and processes referred to by functionalist cognitive scientists are epiphenomenal. It further contends that the problem lies in functionalism itself, and that, to (...)
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  • Incompleteness, Nonlocality, and Realism: A Prolegomenon to the Philosophy of Quantum Mechanics.Michael Redhead - 1987 - New York: Oxford University Press.
    Aiming to unravel the mystery of quantum mechanics, this book is concerned with questions about action-at-a-distance, holism, and whether quantum mechanics gives a complete account of microphysical reality. With rigorous arguments and clear thinking, the author provides an introduction to the philosophy of physics.
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  • Time’s arrow and Archimedes’ point.Huw Price - 1996 - Philosophical and Phenomenological Research 59 (4):1093-1096.
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  • Time’s Arrow and Archimedes’ Point: New Directions for the Physics of Time.Huw Price - 1996 - New York, US: Oup Usa.
    Why is the future so different from the past? Why does the past affect the future and not the other way round? The universe began with the Big Bang - will it end with a `Big Crunch'? Now in paperback, this book presents an innovative and controversial view of time and contemporary physics. Price urges physicists, philosophers, and anyone who has ever pondered the paradoxes of time to look at the world from a fresh perspective, and throws fascinating new light (...)
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  • Reasons and Persons.Joseph Margolis - 1986 - Philosophy and Phenomenological Research 47 (2):311-327.
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  • Many Minds are No Worse than One.David Papineau - 1996 - British Journal for the Philosophy of Science 47 (2):233-241.
  • On peaceful coexistence: is the collapse postulate incompatible with relativity?Wayne C. Myrvold - 2002 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 33 (3):435-466.
    In this paper, it is argued that the prima facie conflict between special relativity and the quantum-mechanical collapse postulate is only apparent, and that the seemingly incompatible accounts of entangled systems undergoing collapse yielded by different reference frames can be regarded as no more than differing accounts of the same processes and events. Attention to the transformation properties of quantum-mechanical states undergoing unitary, non-collapse evolution points the way to a treatment of collapse evolution consistent with the demands of relativity. r (...)
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  • The problem of ontology for spontaneous collapse theories.Bradley Monton - 2004 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 35 (3):407-421.
    The question of how to interpret spontaneous collapse theories of quantum mechanics is an open one. One issue involves what link one should use to go from wave function talk to talk of ordinary macroscopic objects. Another issue involves whether that link should be taken ontologically seriously. In this paper, I ague that the link should be taken ontologically seriously; I argue against an ontology consisting solely of the wave function. I then consider three possible links: the fuzzy link, the (...)
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  • ‘Many Minds’ Interpretations of Quantum Mechanics: Replies to Replies.Michael Lockwood - 1996 - British Journal for the Philosophy of Science 47 (3):445-461.
  • Uncertainty and probability for branching selves.Peter J. Lewis - 2007 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 38 (1):1-14.
    Everettian accounts of quantum mechanics entail that people branch; every possible result of a measurement actually occurs, and I have one successor for each result. Is there room for probability in such an account? The prima facie answer is no; there are no ontic chances here, and no ignorance about what will happen. But since any adequate quantum mechanical theory must make probabilistic predictions, much recent philosophical labor has gone into trying to construct an account of probability for branching selves. (...)
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  • Uncertainty and probability for branching selves.Peter J. Lewis - 2006 - Studies in History and Philosophy of Modern Physics 38 (1):1-14.
    Everettian accounts of quantum mechanics entail that people branch; every possible result of a measurement actually occurs, and I have one successor for each result. Is there room for probability in such an account? The prima facie answer is no; there are no ontic chances here, and no ignorance about what will happen. But since any adequate quantum mechanical theory must make probabilistic predictions, much recent philosophical labor has gone into trying to construct an account of probability for branching selves. (...)
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  • Radical interpretation.David K. Lewis - 1974 - Synthese 23 (July-August):331-344.
    What knowledge would suffice to yield an interpretation of an arbitrary utterance of a language when such knowledge is based on evidence plausibly available to a nonspeaker of that language? it is argued that it is enough to know a theory of truth for the language and that the theory satisfies tarski's 'convention t' and that it gives an optimal fit to data about sentences held true, Under specified conditions, By native speakers.
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  • Quantum mechanics and ordinary language: The fuzzy link.Peter J. Lewis - 2003 - Philosophy of Science 70 (5):1437-1446.
    It is widely acknowledged that the link between quantum language and ordinary language must be "fuzzier" than the traditional eigenstate-eigenvalue link. In the context of spontaneous-collapse theories, Albert and Loewer argue that the form of this fuzzy link is a matter of convention, and can be freely chosen to minimize anomalies for those theories. I defend the position that the form of the link is empirical, and could be such as to render collapse theories idle. This means that defenders of (...)
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  • Quantum mechanics, orthogonality, and counting.Peter J. Lewis - 1997 - British Journal for the Philosophy of Science 48 (3):313-328.
    In quantum mechanics it is usually assumed that mutually exclusives states of affairs must be represented by orthogonal vectors. Recent attempts to solve the measurement problem, most notably the GRW theory, require the relaxation of this assumption. It is shown that a consequence of relaxing this assumption is that arithmatic does not apply to ordinary macroscopic objects. It is argued that such a radical move is unwarranted given the current state of understanding of the foundations of quantum mechanics.
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  • Life in configuration space.Peter J. Lewis - 2004 - British Journal for the Philosophy of Science 55 (4):713-729.
    This paper investigates the tenability of wavefunction realism, according to which the quantum mechanical wavefunction is not just a convenient predictive tool, but is a real entity figuring in physical explanations of our measurement results. An apparent difficulty with this position is that the wavefunction exists in a many-dimensional configuration space, whereas the world appears to us to be three-dimensional. I consider the arguments that have been given for and against the tenability of wavefunction realism, and note that both the (...)
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  • Interpreting spontaneous collapse theories.Peter J. Lewis - 2004 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 36 (1):165-180.
    Spontaneous collapse theories of quantum mechanics require an interpretation if their claim to solve the measurement problem is to be vindicated. The most straightforward interpretation rule, the fuzzy link, generates a violation of common sense known as the counting anomaly. Recently, a consensus has developed that the mass density link provides an appropriate interpretation of spontaneous collapse theories that avoids the counting anomaly. In this paper, I argue that the mass density link violates common sense in just as striking a (...)
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  • Interpreting spontaneous collapse theories.Peter J. Lewis - 2004 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 36 (1):165-180.
    Spontaneous collapse theories of quantum mechanics require an interpretation if their claim to solve the measurement problem is to be vindicated. The most straightforward interpretation rule, the fuzzy link, generates a violation of common sense known as the counting anomaly. Recently, a consensus has developed that the mass density link provides an appropriate interpretation of spontaneous collapse theories that avoids the counting anomaly. In this paper, I argue that the mass density link violates common sense in just as striking a (...)
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  • Counting marbles: A reply to critics.Peter J. Lewis - 2003 - British Journal for the Philosophy of Science 54 (1):165-170.
  • Mind in a Physical World.Jaegwon Kim - 2001 - Noûs 35 (2):304-316.
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  • The Mind's I: Fantasies and Reflections on Self and Soul.Andrew Hamilton - 1984 - Philosophical Quarterly 34 (134):80-81.
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  • Quantum probability and many worlds.Meir Hemmo & Itamar Pitowsky - 2006 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 38 (2):333-350.
  • Quantum probability and many worlds.Meir Hemmo - 2007 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 38 (2):333-350.
    We discuss the meaning of probabilities in the many worlds interpretation of quantum mechanics. We start by presenting very briefly the many worlds theory, how the problem of probability arises, and some unsuccessful attempts to solve it in the past. Then we criticize a recent attempt by Deutsch to derive the quantum mechanical probabilities from the nonprobabilistic parts of quantum mechanics and classical decision theory. We further argue that the Born probability does not make sense even as an additional probability (...)
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  • Understanding Deutsch's probability in a deterministic universe.Hilary Greaves - 2004 - Studies in History and Philosophy of Modern Physics 35 (3):423-456.
    Difficulties over probability have often been considered fatal to the Everett interpretation of quantum mechanics. Here I argue that the Everettian can have everything she needs from `probability' without recourse to indeterminism, ignorance, primitive identity over time or subjective uncertainty: all she needs is a particular *rationality principle*. The decision-theoretic approach recently developed by Deutsch and Wallace claims to provide just such a principle. But, according to Wallace, decision theory is itself applicable only if the correct attitude to a future (...)
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  • On the Everettian Epistemic Problem.Hilary Greaves - 2007 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 38 (1):120-152.
    Recent work in the Everett interpretation has suggested that the problem of probability can be solved by understanding probability in terms of rationality. However, there are *two* problems relating to probability in Everett --- one practical, the other epistemic --- and the rationality-based program *directly* addresses only the practical problem. One might therefore worry that the problem of probability is only `half solved' by this approach. This paper aims to dispel that worry: a solution to the epistemic problem follows from (...)
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