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Remarks on the Mind-Body Question

In John Heil (ed.), Philosophy of Mind: A Guide and Anthology. New York: Oxford University Press (2003)

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  1. (1 other version)Idealism and the Mind-Body Problem.David Chalmers - 2019 - In William Seager (ed.), The Routledge Handbook of Panpsychism. Routledge. pp. 353-373.
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  • (6 other versions)Consciousness and its place in nature.David Chalmers - 2003 - In Ted Warfield (ed.), The Blackwell Guide to the Philosophy of Mind. Blackwell. pp. 102--142.
    Consciousness fits uneasily into our conception of the natural world. On the most common conception of nature, the natural world is the physical world. But on the most common conception of consciousness, it is not easy to see how it could be part of the physical world. So it seems that to find a place for consciousness within the natural order, we must either revise our conception of consciousness, or revise our conception of nature. In twentieth-century philosophy, this dilemma is (...)
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  • Consciousness and the Collapse of the Wave Function.David J. Chalmers & Kelvin J. McQueen - 2022 - In Shan Gao (ed.), Consciousness and Quantum Mechanics. Oxford University Press, Usa.
    Does consciousness collapse the quantum wave function? This idea was taken seriously by John von Neumann and Eugene Wigner but is now widely dismissed. We develop the idea by combining a mathematical theory of consciousness (integrated information theory) with an account of quantum collapse dynamics (continuous spontaneous localization). Simple versions of the theory are falsified by the quantum Zeno effect, but more complex versions remain compatible with empirical evidence. In principle, versions of the theory can be tested by experiments with (...)
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  • (1 other version)Philosophy of Mind: Classical and Contemporary Readings.David John Chalmers (ed.) - 2002 - New York: Oxford University Press USA.
    What is the mind? Is consciousness a process in the brain? How do our minds represent the world? Philosophy of Mind: Classical and Contemporary Readings is a grand tour of writings on these and other perplexing questions about the nature of the mind. The most comprehensive collection of its kind, the book includes sixty-three selections that range from the classical contributions of Descartes to the leading edge of contemporary debates. Extensive sections cover foundational issues, the nature of consciousness, and the (...)
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  • (1 other version)Quantum Information Theory and the Foundations of Quantum Mechanics.Christopher Gordon Timpson - 2004 - Oxford, GB: Oxford University Press.
    Christopher G. Timpson provides the first full-length philosophical treatment of quantum information theory and the questions it raises for our understanding of the quantum world. He argues for an ontologically deflationary account of the nature of quantum information, which is grounded in a revisionary analysis of the concepts of information.
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  • Relational Quantum Mechanics is About Facts, Not States: A Reply to Pienaar and Brukner.Andrea Di Biagio & Carlo Rovelli - 2022 - Foundations of Physics 52 (3):1-21.
    In recent works, Časlav Brukner and Jacques Pienaar have raised interesting objections to the relational interpretation of quantum mechanics. We answer these objections in detail and show that, far from questioning the viability of the interpretation, they sharpen and clarify it.
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  • (1 other version)Quantum Information Theory & the Foundations of Quantum Mechanics.Christopher Gordon Timpson - 2004 - Oxford, GB: Oxford University Press.
    Quantum Information Theory and the Foundations of Quantum Mechanics is a conceptual analysis of one of the most prominent and exciting new areas of physics, providing the first full-length philosophical treatment of quantum information theory and the questions it raises for our understanding of the quantum world. -/- Beginning from a careful, revisionary, analysis of the concepts of information in the everyday and classical information-theory settings, Christopher G. Timpson argues for an ontologically deflationary account of the nature of quantum information. (...)
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  • Indeterminism in physics and intuitionistic mathematics.Nicolas Gisin - 2021 - Synthese 199 (5-6):13345-13371.
    Most physics theories are deterministic, with the notable exception of quantum mechanics which, however, comes plagued by the so-called measurement problem. This state of affairs might well be due to the inability of standard mathematics to “speak” of indeterminism, its inability to present us a worldview in which new information is created as time passes. In such a case, scientific determinism would only be an illusion due to the timeless mathematical language scientists use. To investigate this possibility it is necessary (...)
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  • Against ‘Interpretation’: Quantum Mechanics Beyond Syntax and Semantics.Raoni Wohnrath Arroyo & Gilson Olegario da Silva - 2022 - Axiomathes 32 (6):1243-1279.
    The question “what is an interpretation?” is often intertwined with the perhaps even harder question “what is a scientific theory?”. Given this proximity, we try to clarify the first question to acquire some ground for the latter. The quarrel between the syntactic and semantic conceptions of scientific theories occupied a large part of the scenario of the philosophy of science in the 20th century. For many authors, one of the two currents needed to be victorious. We endorse that such debate, (...)
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  • Quantum Theory and the Limits of Objectivity.Richard Healey - 2018 - Foundations of Physics 48 (11):1568-1589.
    Three recent arguments seek to show that the universal applicability of unitary quantum theory is inconsistent with the assumption that a well-conducted measurement always has a definite physical outcome. In this paper I restate and analyze these arguments. The import of the first two is diminished by their dependence on assumptions about the outcomes of counterfactual measurements. But the third argument establishes its intended conclusion. Even if every well-conducted quantum measurement we ever make will have a definite physical outcome, this (...)
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  • Non-relativistic quantum mechanics.Michael Dickson - unknown
    This essay is a discussion of the philosophical and foundational issues that arise in non-relativistic quantum theory. After introducing the formalism of the theory, I consider: characterizations of the quantum formalism, empirical content, uncertainty, the measurement problem, and non-locality. In each case, the main point is to give the reader some introductory understanding of some of the major issues and recent ideas.
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  • Quantum bayesianism: A study.Christopher Gordon Timpson - 2008 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 39 (3):579-609.
    The Bayesian approach to quantum mechanics of Caves, Fuchs and Schack is presented. Its conjunction of realism about physics along with anti-realism about much of the structure of quantum theory is elaborated; and the position defended from common objections: that it is solipsist; that it is too instrumentalist; that it cannot deal with Wigner's friend scenarios. Three more substantive problems are raised: Can a reasonable ontology be found for the approach? Can it account for explanation in quantum theory? Are subjective (...)
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  • Randomness Is Unpredictability.Antony Eagle - 2005 - British Journal for the Philosophy of Science 56 (4):749-790.
    The concept of randomness has been unjustly neglected in recent philosophical literature, and when philosophers have thought about it, they have usually acquiesced in views about the concept that are fundamentally flawed. After indicating the ways in which these accounts are flawed, I propose that randomness is to be understood as a special case of the epistemic concept of the unpredictability of a process. This proposal arguably captures the intuitive desiderata for the concept of randomness; at least it should suggest (...)
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  • The View from a Wigner Bubble.Eric G. Cavalcanti - 2021 - Foundations of Physics 51 (2):1-31.
    In a recent no-go theorem [Bong et al., Nature Physics (2020)], we proved that the predictions of unitary quantum mechanics for an extended Wigner’s friend scenario are incompatible with any theory satisfying three metaphysical assumptions, the conjunction of which we call “Local Friendliness”: Absoluteness of Observed Events, Locality and No-Superdeterminism. In this paper (based on an invited talk for the QBism jubilee at the 2019 Växjö conference) I discuss the implications of this theorem for QBism, as seen from the point (...)
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  • (1 other version)The foundations of quantum mechanics and the approach to thermodynamic equilibrium.David Z. Albert - 1994 - British Journal for the Philosophy of Science 45 (2):669-677.
    It is argued that certain recent advances in the construction of a theory of the collapses of Quantum Mechanical wave functions suggest the possibility of new and improved foundations for statistical mechanics, foundations in which epistemic considerations play no role.
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  • Science as if situation mattered.Michel Bitbol - 2002 - Phenomenology and the Cognitive Sciences 1 (2):181-224.
    When he formulated the program of neurophenomenology, Francisco Varela suggested a balanced methodological dissolution of the hard problem of consciousness. I show that his dissolution is a paradigm which imposes itself onto seemingly opposite views, including materialist approaches. I also point out that Varela's revolutionary epistemological ideas are gaining wider acceptance as a side effect of a recent controversy between hermeneutists and eliminativists. Finally, I emphasize a structural parallel between the science of consciousness and the distinctive features of quantum mechanics. (...)
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  • Securing the objectivity of relative facts in the quantum world.Richard A. Healey - 2022 - Foundations of Physics 52 (4):1-20.
    This paper compares and contrasts relational quantum mechanics with a pragmatist view of quantum theory. I first explain important points of agreement. Then I point to two problems faced by RQM and sketch DP?s solutions to analogous problems. Since both RQM and DP have taken the Born rule to require relative facts I next say what these might be. My main objection to RQM as originally conceived is that its ontology of relative facts is incompatible with scientific objectivity and undercuts (...)
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  • How device-independent approaches change the meaning of physical theory.Alexei Grinbaum - 2017 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 58:22-30.
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  • The origin of the Everettian heresy.Stefano Osnaghi, Fábio Freitas & Olival Freire - 2009 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 40 (2):97-123.
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  • Properties and dispositions: Some metaphysical remarks on quantum ontology.Mauro Dorato - 2006 - American Institute of Physics (1):139-157.
    After some suggestions about how to clarify the confused metaphysical distinctions between dispositional and non-dispositional or categorical properties, I review some of the main interpretations of QM in order to show that – with the relevant exception of Bohm’s minimalist interpretation – quantum ontology is irreducibly dispositional. Such an irreducible character of dispositions must be explained differently in different interpretations, but the reducibility of the contextual properties in the case of Bohmian mechanics is guaranteed by the fact that the positions (...)
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  • A phenomenological solution to the measurement problem? Husserl and the foundations of quantum mechanics.Steven French - 2002 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 33 (3):467-491.
    The London and Bauer monograph occupies a central place in the debate concerning the quantum measurement problem. Gavroglu has previously noted the influence of Husserlian phenomenology on London's scientific work. However, he has not explored the full extent of this influence in the monograph itself. I begin this paper by outlining the important role played by the monograph in the debate. In effect, it acted as a kind of 'lens' through which the standard, or Copenhagen, 'solution' to the measurement problem (...)
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  • (1 other version)Thisness.Richard Swinburne - 1995 - Australasian Journal of Philosophy 73 (3):389 – 400.
    The principle of the identity of indiscernibles holds that two individuals are the same individual if they have all the same properties. There are different forms of the principle, varying with what is allowed to count as a property. An individual has thisness if the weakest form of the principle does not apply to it. Abstract objects, places and times do not have thisness. Inanimate material objects probably do not. Animate beings, and the conscious events which involve them do have (...)
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  • The Strange Nature of Quantum Perception: To See a Photon, One Must Be a Photon.Steven M. Rosen - 2021 - Journal of Mind and Behavior 42 (3, 4):229-270.
    This paper takes as its point of departure recent research into the possibility that human beings can perceive single photons. In order to appreciate what quantum perception may entail, we first explore several of the leading interpretations of quantum mechanics, then consider an alternative view based on the ontological phenomenology of Maurice Merleau-Ponty and Martin Heidegger. Next, the philosophical analysis is brought into sharper focus by employing a perceptual model, the Necker cube, augmented by the topology of the Klein bottle. (...)
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  • Underdeterminations of Consciousness in Quantum Mechanics.Lauro de Matos Nunes Filho & Raoni Wohnrath Arroyo - 2018 - Principia: An International Journal of Epistemology 22 (2):321-337.
    Metaphysical underdetermination arises when we are not able to decide, through purely theoretical criteria, between competing interpretations of scientific theories with different metaphysical commitments. This is the case in which non-relativistic quantum mechanics (QM) finds itself in. Among several available interpretations, there is the one that states that the interaction with the conscious mind of a human observer causes a change in the dynamics of quantum objects undergoing from indefinite to definite states. In this paper, we argue that there seems (...)
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  • Wigner’s friend and Relational Quantum Mechanics: A Reply to Laudisa.Nikki Weststeijn - 2021 - Foundations of Physics 51 (4):1-13.
    Relational Quantum Mechanics is an interpretation of quantum mechanics proposed by Carlo Rovelli. Rovelli argues that, in the same spirit as Einstein’s theory of relativity, physical quantities can only have definite values relative to an observer. Relational Quantum Mechanics is hereby able to offer a principled explanation of the problem of nested measurement, also known as Wigner’s friend. Since quantum states are taken to be relative states that depend on both the system and the observer, there is no inconsistency in (...)
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  • If consciousness causes collapse, the zombie argument fails.Mousa Mohammadian - 2021 - Synthese 199:1599–1615.
    Many non-physicalists, including Chalmers, hold that the zombie argument succeeds in rejecting the physicalist view of consciousness. Some non-physicalists, including, again, Chalmers, hold that quantum collapse interactionism, i.e., the idea that non-physical consciousness causes collapse of the wave function in phenomena such as quantum measurement, is a viable interactionist solution for the problem of the relationship between the physical world and the non-physical consciousness. In this paper, I argue that if QCI is true, the zombie argument fails. In particular, I (...)
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  • Quantum Information Versus Epistemic Logic: An Analysis of the Frauchiger–Renner Theorem.Florian J. Boge - 2019 - Foundations of Physics 49 (10):1143-1165.
    A recent no-go theorem (Frauchiger and Renner in Nat Commun 9(1):3711, 2018) establishes a contradiction from a specific application of quantum theory to a multi- agent setting. The proof of this theorem relies heavily on notions such as ‘knows’ or ‘is certain that’. This has stimulated an analysis of the theorem by Nurgalieva and del Rio (in: Selinger P, Chiribella G (eds) Proceedings of the 15th international conference on quantum physics and logic (QPL 2018). EPTCS 287, Open Publishing Association, Waterloo, (...)
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  • Zeno Goes to Copenhagen: A Dilemma for Measurement-Collapse Interpretations of Quantum Mechanics.David J. Chalmers & Kelvin J. McQueen - 2023 - In M. C. Kafatos, D. Banerji & D. C. Struppa (eds.), Quantum and Consciousness Revisited. DK Publisher.
    A familiar interpretation of quantum mechanics (one of a number of views sometimes labeled the "Copenhagen interpretation'"), takes its empirical apparatus at face value, holding that the quantum wave function evolves by the Schrödinger equation except on certain occasions of measurement, when it collapses into a new state according to the Born rule. This interpretation is widely rejected, primarily because it faces the measurement problem: "measurement" is too imprecise for use in a fundamental physical theory. We argue that this is (...)
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  • Does Consciousness-Collapse Quantum Mechanics Facilitate Dualistic Mental Causation?Alin C. Cucu - forthcoming - Journal of Cognitive Science.
    One of the most serious challenges (if not the most serious challenge) for interactive psycho-physical dualism (henceforth interactive dualism or ID) is the so-called ‘interaction problem’. It has two facets, one of which this article focuses on, namely the apparent tension between interactions of non-physical minds in the physical world and physical laws of nature. One family of approaches to alleviate or even dissolve this tension is based on a collapse solution (‘consciousness collapse/CC) of the measurement problem in quantum mechanics (...)
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  • Information, immaterialism, instrumentalism: Old and new in quantum information.Christopher G. Timpson - 2010 - In Alisa Bokulich & Gregg Jaeger (eds.), Philosophy of quantum information and entanglement. New York: Cambridge University Press. pp. 208--227.
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  • Quantum Mechanics and Paradigm Shifts.Valia Allori - 2015 - Topoi 34 (2):313-323.
    It has been argued that the transition from classical to quantum mechanics is an example of a Kuhnian scientific revolution, in which there is a shift from the simple, intuitive, straightforward classical paradigm, to the quantum, convoluted, counterintuitive, amazing new quantum paradigm. In this paper, after having clarified what these quantum paradigms are supposed to be, I analyze whether they constitute a radical departure from the classical paradigm. Contrary to what is commonly maintained, I argue that, in addition to radical (...)
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  • A consciousness-based quantum objective collapse model.Elias Okon & Miguel Ángel Sebastián - 2020 - Synthese 197 (9):3947-3967.
    Ever since the early days of quantum mechanics it has been suggested that consciousness could be linked to the collapse of the wave function. However, no detailed account of such an interplay is usually provided. In this paper we present an objective collapse model where the collapse operator depends on integrated information, which has been argued to measure consciousness. By doing so, we construct an empirically adequate scheme in which superpositions of conscious states are dynamically suppressed. Unlike other proposals in (...)
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  • (1 other version)The foundations of quantum mechanics and the approach to thermodynamic equilibrium.David Z. Albert - 1994 - Erkenntnis 41 (2):191-206.
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  • An Ontology of Nature with Local Causality, Parallel Lives, and Many Relative Worlds.Mordecai Waegell - 2018 - Foundations of Physics 48 (12):1698-1730.
    Parallel lives is an ontological model of nature in which quantum mechanics and special relativity are unified in a single universe with a single space-time. Point-like objects called lives are the only fundamental objects in this space-time, and they propagate at or below c, and interact with one another only locally at point-like events in space-time, very much like classical point particles. Lives are not alive in any sense, nor do they possess consciousness or any agency to make decisions—they are (...)
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  • The Historical Roots of ''Foundations of Quantum Physics'' as a Field of Research (1950–1970).Olival Freire - 2004 - Foundations of Physics 34 (11):1741-1760.
    The rising interest, in the late 20th century, in the foundations of quantum physics, a subject in which Franco Selleri has excelled, has suggested the fair question: how did it become so? The current answer says that experiments have allowed to bring into the laboratories some previous gedanken experiments, beginning with those about EPR and related to Bell’s inequalities. I want to explore an alternative view, by which there would have been, before Bell’s inequalities experimental tests, a change in the (...)
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  • Towards a process-based approach to consciousness and collapse in quantum mechanics.Raoni Arroyo, Lauro de Matos Nunes Filho & Frederik Moreira Dos Santos - 2024 - Manuscrito 47 (1):2023-0047.
    According to a particular interpretation of quantum mechanics, the causal role of human consciousness in the measuring process is called upon to solve a foundational problem called the “measurement problem.” Traditionally, this interpretation is tied up with the metaphysics of substance dualism. As such, this interpretation of quantum mechanics inherits the dualist’s mind-body problem. Our working hypothesis is that a process-based approach to the consciousness causes collapse interpretation (CCCI) ---leaning on Whitehead’s solution to the mind-body problem--- offers a better metaphysical (...)
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  • Quantum leaps in philosophy of mind.David Bourget - 2004 - Journal of Consciousness Studies 11 (12):17--42.
    I discuss the quantum mechanical theory of consciousness and freewill offered by Stapp (1993, 1995, 2000, 2004). First I show that decoherence-based arguments do not work against this theory. Then discuss a number of problems with the theory: Stapp's separate accounts of consciousness and freewill are incompatible, the interpretations of QM they are tied to are questionable, the Zeno effect could not enable freewill as he suggests because weakness of will would then be ubiquitous, and the holism of measurement in (...)
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  • Unitary quantum theory is incompatible with special relativity.Shan Gao - unknown
    It is shown that the combination of unitary quantum theory and special relativity may lead to a contradiction when considering the EPR correlations in different inertial frames in a Gedankenexperiment. This result seems to imply that either unitary quantum theory is wrong or if unitary quantum theory is right then there must exist a preferred Lorentz frame.
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  • A Quantum-Mechanical Argument for Mind–Body Dualism.Jeffrey A. Barrett - 2006 - Erkenntnis 65 (1):97-115.
    I argue that a strong mind–body dualism is required of any formulation of quantum mechanics that satisfies a relatively weak set of explanatory constraints. Dropping one or more of these constraints may allow one to avoid the commitment to a mind–body dualism but may also require a commitment to a physical–physical dualism that is at least as objectionable. Ultimately, it is the preferred basis problem that pushes both collapse and no-collapse theories in the direction of a strong dualism in resolving (...)
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  • Understanding the Frauchiger–Renner Argument.Jeffrey Bub - 2021 - Foundations of Physics 51 (2):1-9.
    In 2018, Daniela Frauchiger and Renato Renner published an article in Nature Communications entitled ‘Quantum theory cannot consistently describe the use of itself.’ The argument has been attacked as flawed from a variety of interpretational perspectives. I clarify the significance of the result as a sequence of actions and inferences by agents modeled as quantum systems evolving unitarily at all times. At no point does the argument appeal to a ‘collapse’ of the quantum state following a measurement.
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  • QBism, the Perimeter of Quantum Bayesianism.Christopher A. Fuchs - 2010
    This article summarizes the Quantum Bayesian point of view of quantum mechanics, with special emphasis on the view's outer edges---dubbed QBism. QBism has its roots in personalist Bayesian probability theory, is crucially dependent upon the tools of quantum information theory, and most recently, has set out to investigate whether the physical world might be of a type sketched by some false-started philosophies of 100 years ago (pragmatism, pluralism, nonreductionism, and meliorism). Beyond conceptual issues, work at Perimeter Institute is focused on (...)
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  • The puzzling entanglement of Schrödinger's wave function.G. C. Ghirardi, A. Rimini & T. Weber - 1988 - Foundations of Physics 18 (1):1-27.
    A brief review of the conceptual difficulties met by the quantum formalism is presented. The main attempts to overcome these difficulties are considered and their limitations are pointed out. A recent proposal based on the assumption of the occurrence of a specific type of wave function collapse is discussed and its consequences for the above-mentioned problems are analyzed.
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  • The World According to Quantum Mechanics (Or the 18 Errors of Henry P. Stapp).Ulrich Mohrhoff - 2002 - Foundations of Physics 32 (2):217-254.
    Several errors in Stapp's interpretation of quantum mechanics and its application to mental causation (Henry P. Stapp, “Quantum theory and the role of mind in nature,” Foundations of Physics 31, 1465–1499 (2001)) are pointed out. An interpretation of (standard) quantum mechanics that avoids these errors is presented.
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  • Causation in Physics and in Physicalism.Justin Tiehen - 2022 - Acta Analytica 37 (4):471-488.
    It is widely thought that there is an important argument to be made that starts with premises taken from the science of physics and ends with the conclusion of physicalism. The standard view is that this argument takes the form of a causal argument for physicalism. Roughly, physics tells us that the physical realm is causally complete, and so minds (among other entities) must be physical if they are to interact with the world as we think they do. In what (...)
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  • On the Ollivier–Poulin–Zurek Definition of Objectivity.Chris Fields - 2014 - Axiomathes 24 (1):137-156.
    The Ollivier–Poulin–Zurek definition of objectivity provides a philosophical basis for the environment as witness formulation of decoherence theory and hence for quantum Darwinism. It is shown that no account of the reference of the key terms in this definition can be given that does not render the definition inapplicable within quantum theory. It is argued that this is not the fault of the language used, but of the assumption that the laws of physics are independent of Hilbert-space decomposition. All evidence (...)
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  • A QBist Ontology.U. J. Mohrhoff - 2022 - Foundations of Science 27 (3):1253-1277.
    This paper puts forward an ontology that is indebted to QBism, Kant, Bohr, Schrödinger, the philosophy of the Upanishads, and the evolutionary philosophy of Sri Aurobindo. Central to it is that reality is relative to consciousness or experience. Instead of a single mind-independent reality, there are different poises of consciousness, including a consciousness to which “we are all really only various aspects of the One”. This ontology helps clear up unresolved issues in the philosophy of science, such as arise from (...)
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  • Quantum Arrangements.Gregg Jaeger & Anton Zeilinger - 2021 - Cham, Switzerland: Springer Nature.
    This book presents a collection of novel contributions and reviews by renowned researchers in the foundations of quantum physics, quantum optics, and neutron physics. It is published in honor of Michael Horne, whose exceptionally clear and groundbreaking work in the foundations of quantum mechanics and interferometry, both of photons and of neutrons, has provided penetrating insight into the implications of modern physics for our understanding of the physical world. He is perhaps best known for the Clauser-Horne-Shimony-Holt (CHSH) inequality. This collection (...)
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  • The completeness of physics.David Spurrett - 1999 - Dissertation, University of Natal, Durban
    The present work is focussed on the completeness of physics, or what is here called the Completeness Thesis: the claim that the domain of the physical is causally closed. Two major questions are tackled: How best is the Completeness Thesis to be formulated? What can be said in defence of the Completeness Thesis? My principal conclusions are that the Completeness Thesis can be coherently formulated, and that the evidence in favour if it significantly outweighs that against it. In opposition to (...)
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  • When Greenberger, Horne and Zeilinger Meet Wigner’s Friend.Gijs Leegwater - 2022 - Foundations of Physics 52 (4):1-17.
    A general argument is presented against relativistic, unitary, single-outcome quantum mechanics. This is achieved by combining the Wigner’s Friend thought experiment with measurements on a Greenberger–Horne–Zeilinger state, and describing the evolution of the quantum state in various inertial frames. Assuming unitary quantum mechanics and single outcomes, the result is that the Born rule must be violated in some inertial frame: in that frame, outcomes are obtained for which no corresponding term exists in the pre-measurement wavefunction.
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  • Towards a Coherent Theory of Physics and Mathematics.Paul Benioff - 2002 - Foundations of Physics 32 (7):989-1029.
    As an approach to a Theory of Everything a framework for developing a coherent theory of mathematics and physics together is described. The main characteristic of such a theory is discussed: the theory must be valid and and sufficiently strong, and it must maximally describe its own validity and sufficient strength. The mathematical logical definition of validity is used, and sufficient strength is seen to be a necessary and useful concept. The requirement of maximal description of its own validity and (...)
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