Results for 'Deutsch-Wallace theorem'

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  1. Quantum probability and decision theory, revisited [2002 online-only paper].David Wallace - 2002
    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 is discussed, and alternatives are presented which are based upon different decision theories and upon Gleason's Theorem. It is argued that decision theory gives Everettians most or all of what they need from `probability'. Contact is made with Lewis's Principal Principle linking subjective credence with objective chance: an Everettian (...)
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  2. 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 (...)
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  3. 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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  4.  27
    Recurrence Theorems: a Unified Account.David Wallace - unknown
    I discuss classical and quantum recurrence theorems in a unified manner, treating both as generalisations of the fact that a system with a finite state space only has so many places to go. Along the way I prove versions of the recurrence theorem applicable to dynamics on linear and metric spaces, and make some comments about applications of the classical recurrence theorem in the foundations of statistical mechanics.
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  5. Quantum Mechanics on Spacetime I: Spacetime State Realism.David Wallace & Christopher Gordon Timpson - 2010 - British Journal for the Philosophy of Science 61 (4):697-727.
    What ontology does realism about the quantum state suggest? The main extant view in contemporary philosophy of physics is wave-function realism . We elaborate the sense in which wave-function realism does provide an ontological picture, and defend it from certain objections that have been raised against it. However, there are good reasons to be dissatisfied with wave-function realism, as we go on to elaborate. This motivates the development of an opposing picture: what we call spacetime state realism , a view (...)
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  6.  45
    A Note on the Theorems of Church‐Turing and Trachtenbrot.Michael Deutsch - 1994 - Mathematical Logic Quarterly 40 (3):422-424.
    We sketch proofs of the theorems of Church-Turing and Trachtenbrot using a semi-monomorphic axiomatization.
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  7. 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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  8. Time-dependent symmetries: the link between gauge symmetries and indeterminism.David Wallace - 2002 - In Katherine Brading & Elena Castellani (eds.), Symmetries in Physics: Philosophical Reflections. Cambridge University Press. pp. 163--173.
    Mathematically, gauge theories are extraordinarily rich --- so rich, in fact, that it can become all too easy to lose track of the connections between results, and become lost in a mass of beautiful theorems and properties: indeterminism, constraints, Noether identities, local and global symmetries, and so on. -/- One purpose of this short article is to provide some sort of a guide through the mathematics, to the conceptual core of what is actually going on. Its focus is on the (...)
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  9. A formal proof of the born rule from decision-theoretic assumptions [aka: How to Prove the Born Rule].David Wallace - 2009 - In Simon Saunders, Jon Barrett, Adrian Kent & David Wallace (eds.), Many Worlds?: Everett, Quantum Theory & Reality. Oxford University Press.
    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 mechanics. I sketch the argument informally, then prove it formally, and lastly consider a number of proposed ``counter-examples'' to show exactly which premises of the argument they violate. (This is a preliminary version of a chapter to appear --- under the title ``How to prove the Born Rule'' --- in Saunders, Barrett, Kent and (...), "Many worlds? Everett, quantum theory and reality", forthcoming from Oxford University Press.). (shrink)
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  10.  20
    On the Variety of Cognitive Temperatures and Their Symmetry-Breaking Dynamics.Rodrick Wallace - 2020 - Acta Biotheoretica 68 (4):421-439.
    The asymptotic limit theorems of information and control theories permit exploration of a surprising number of temperature-like measures and symmetry-breaking dynamics associated with cognition. Each of several markedly different perspectives produces a distinct temperature-analog, capturing a rich and highly-punctuated behavioral landscape across the complex, hierarchical cognitive phenomena that characterize life at every scale and level of organization. Theories of cognition may be confronted by canonical conundrums similar to those plaguing the study of consciousness and its regulation. In short, there may (...)
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  11.  25
    Culture and the Trajectories of Developmental Pathology: Insights from Control and Information Theories.Rodrick Wallace - 2018 - Acta Biotheoretica 66 (2):79-112.
    Cognition in living entities—and their social groupings or institutional artifacts—is necessarily as complicated as their embedding environments, which, for humans, includes a particularly rich cultural milieu. The asymptotic limit theorems of information and control theories permit construction of a new class of empirical ‘regression-like’ statistical models for cognitive developmental processes, their dynamics, and modes of dysfunction. Such models may, as have their simpler analogs, prove useful in the study and re-mediation of cognitive failure at and across the scales and levels (...)
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  12.  41
    Adaptation, punctuation and information: A rate-distortion approach to non-cognitive 'learning plateaus' in evolutionary process.Rodrick Wallace - 2002 - Acta Biotheoretica 50 (2):101-116.
    We extend recent information-theoretic phase transition approaches to evolutionary and cognitive process via the Rate Distortion and Joint Asymptotic Equipartition Theorems, in the circumstance of interaction with a highly structured environment. This suggests that learning plateaus in cognitive systems and punctuated equilibria in evolutionary process are formally analogous, even though evolution is not cognitive. Extending arguments by Adami et al. (2000), we argue that 'adaptation' is the process by which a distorted genetic image of a coherently structured environment is imposed (...)
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  13.  17
    Fractured Symmetries: Information and Control Theory Perspectives on Mitochondrial Dysfunction.Rodrick Wallace - 2020 - Acta Biotheoretica 69 (3):277-301.
    Mitochondrial dysfunction underlies a vast array of chronic disorders across the life span. The asymptotic limit theorems of information and control theories, supplemented by symmetry-breaking phase transition arguments adapted from physical theory, give deep insight into canonical mechanisms of cognition and regulation associated with such dysfunction. The probability models studied here can provide a foundation for the development of statistical tools useful in clinical and public health address of those disorders.
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  14. Understanding Deutsch's probability in a deterministic universe.Hilary Greaves - 2004 - Studies in History and Philosophy of Science Part B: 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 (...)
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  15. One world is (probably) just as good as many.Jer Steeger - 2022 - Synthese 200 (97):1-32.
    One of our most sophisticated accounts of objective chance in quantum mechanics involves the Deutsch-Wallace theorem, which uses state-space symmetries to justify agents’ use of the Born rule when the quantum state is known. But Wallace argues that this theorem requires an Everettian approach to measurement. I find that this argument is unsound. I demonstrate a counter-example by applying the Deutsch-Wallace theorem to the de Broglie-Bohm pilot-wave theory.
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  16.  84
    Against the empirical viability of the DeutschWallace–Everett approach to quantum mechanics.Richard Dawid & Karim P. Y. Thébault - 2014 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 47:55-61.
    The subjective Everettian approach to quantum mechanics presented by Deutsch and Wallace fails to constitute an empirically viable theory of quantum phenomena. The decision theoretic implementation of the Born rule realized in this approach provides no basis for rejecting Everettian quantum mechanics in the face of empirical data that contradicts the Born rule. The approach of Greaves and Myrvold, which provides a subjective implementation of the Born rule as well but derives it from empirical data rather than decision (...)
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  17.  55
    Probability in Two Deterministic Universes.Mateus Araújo - 2019 - Foundations of Physics 49 (3):202-231.
    How can probabilities make sense in a deterministic many-worlds theory? We address two facets of this problem: why should rational agents assign subjective probabilities to branching events, and why should branching events happen with relative frequencies matching their objective probabilities. To address the first question, we generalise the DeutschWallace theorem to a wide class of many-world theories, and show that the subjective probabilities are given by a norm that depends on the dynamics of the theory: the 2-norm (...)
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  18.  57
    Analysis of Wallace’s Proof of the Born Rule in Everettian Quantum Mechanics: Formal Aspects.André L. G. Mandolesi - 2018 - Foundations of Physics 48 (7):751-782.
    To solve the probability problem of the Many Worlds Interpretation of Quantum Mechanics, D. Wallace has presented a formal proof of the Born rule via decision theory, as proposed by D. Deutsch. The idea is to get subjective probabilities from rational decisions related to quantum measurements, showing the non-probabilistic parts of the quantum formalism, plus some rational constraints, ensure the squared modulus of quantum amplitudes play the role of such probabilities. We provide a new presentation of Wallace’s (...)
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  19. Probability in the Everett world: Comments on Wallace and Greaves.Huw Price - unknown
    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 explain why probability should be governed by the Born rule. David Deutsch has attempted to meet these objections. He argues not only that rational decision under uncertainty makes sense in the Everett interpretation, but also that under reasonable assumptions, the credences of a rational agent (...)
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  20. The Probability Problem in Everettian Quantum Mechanics Persists.F. Dizadji-Bahmani - 2013 - British Journal for the Philosophy of Science (2):axt035.
    Everettian quantum mechanics results in ‘multiple, emergent, branching quasi-classical realities’ . The possible outcomes of measurement as per ‘orthodox’ quantum mechanics are, in EQM, all instantiated. Given this metaphysics, Everettians face the ‘probability problem’—how to make sense of probabilities and recover the Born rule. To solve the probability problem, Wallace, following Deutsch , has derived a quantum representation theorem. I argue that Wallace’s solution to the probability problem is unsuccessful, as follows. First, I examine one of (...)
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  21.  76
    The Probability Problem in Everettian Quantum Mechanics Persists.Foad Dizadji-Bahmani - 2015 - British Journal for the Philosophy of Science 66 (2):257-283.
    Everettian quantum mechanics (EQM) results in ‘multiple, emergent, branching quasi-classical realities’ (Wallace [2012]). The possible outcomes of measurement as per ‘orthodox’ quantum mechanics are, in EQM, all instantiated. Given this metaphysics, Everettians face the ‘probability problem’—how to make sense of probabilities and recover the Born rule. To solve the probability problem, Wallace, following Deutsch ([1999]), has derived a quantum representation theorem. I argue that Wallace’s solution to the probability problem is unsuccessful, as follows. First, I (...)
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  22.  11
    Can embryologists contribute to an understanding of evolutionary mechanisms?Bruce Wallace - 1986 - In William Bechtel (ed.), Integrating Scientific Disciplines. University of Chicago Press. pp. 149--163.
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  23. What is Orthodox Quantum Mechanics?David Wallace - 2019 - In Alberto Cordero (ed.), Philosophers Look at Quantum Mechanics. Springer Verlag.
    What is called ``orthodox'' quantum mechanics, as presented in standard foundational discussions, relies on two substantive assumptions --- the projection postulate and the eigenvalue-eigenvector link --- that do not in fact play any part in practical applications of quantum mechanics. I argue for this conclusion on a number of grounds, but primarily on the grounds that the projection postulate fails correctly to account for repeated, continuous and unsharp measurements and that the eigenvalue-eigenvector link implies that virtually all interesting properties are (...)
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  24. Reason and value: themes from the moral philosophy of Joseph Raz.R. Jay Wallace (ed.) - 2004 - New York: Oxford University Press.
    Reason and Value collects 15 new papers by leading contemporary philosophers on themes from the work of Joseph Raz. Raz has made major contributions in a wide range of areas, including jurisprudence, political philosophy, and the theory of practical reason; but all of his work displays a deep engagement with central themes in moral philosophy. The subtlety and power of Raz's reflections on ethical topics make his writings a fertile source for anyone working in this area. Especially significant are his (...)
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  25. Composition as Identity, Modal Parts, and Mereological Essentialism.Meg Wallace - 2014 - In A. J. Cotnoir & Donald L. M. Baxter (eds.), Composition as Identity. Oxford, UK: pp. 111-129.
    Some claim that Composition as Identity (CI) entails Mereological Essentialism (ME). If this is right, then we have an effective modus tollens against CI: ME is clearly false, so CI is, too. Rather than deny the conditional, I will argue that a CI theorist should embrace ME. I endorse a theory of modal parts such that ordinary objects are spatially, temporally, and modally extended. Accepting modal parts is certainly beneficial to CI theorists, but it also provides elegant solutions to the (...)
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  26. The Rightness of Acts and the Goodness of Lives.”.R. Jay Wallace - 2004 - In Reason and value: themes from the moral philosophy of Joseph Raz. New York: Oxford University Press.
     
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  27. Compatibilism as Non-Ideal Theory: A Manifesto.Robert H. Wallace - 2024 - In David Shoemaker, Santiago Amaya & Manuel Vargas (eds.), Oxford Studies in Agency and Responsibility Volume 8: Non-Ideal Agency and Responsibility. Oxford University Press.
    This paper articulates and responds to a challenge to contemporary compatibilist views of free will. Despite the popularity and appeal of compatibilist theories, many are left with lingering doubts about compatibilism. This paper explains this doubt in terms of the absurdity challenge: because a compatibilist accepts that they do not have causal access to all the actual sufficient causal sources of their own agency, the compatibilist can find their own agency absurd. By taking a cue from political philosophy, this paper (...)
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  28. Ressentiment, value, and self-vindication : making sense of Nietzsche's slave revolt.R. Jay Wallace - 2007 - In Brian Leiter & Neil Sinhababu (eds.), Nietzsche and morality. New York: Oxford University Press. pp. 110--137.
     
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  29.  32
    Hidden Dimensions: The Unification of Physics and Consciousness.B. Alan Wallace - 2007 - Columbia University Press.
    Bridging the gap between the world of science and the realm of the spiritual, B. Alan Wallace introduces a natural theory of human consciousness that has its roots in contemporary physics and Buddhism. Wallace's "special theory of ontological relativity" suggests that mental phenomena are _conditioned_ by the brain, but do not _emerge_ from it. Rather, the entire natural world of mind and matter, subjects and objects, arises from a unitary dimension of reality that is more fundamental than these (...)
  30. Traditional natural philosophy.William A. Wallace - 1988 - In C. B. Schmitt, Quentin Skinner, Eckhard Kessler & Jill Kraye (eds.), The Cambridge History of Renaissance Philosophy. New York: Cambridge University Press. pp. 201--35.
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  31. The Lump Sum: A Theory of Modal Parts.Meg Wallace - 2019 - Philosophical Papers 48 (3):403-435.
    A lump theorist claims that ordinary objects are spread out across possible worlds, much like many of us think that tables are spread out across space. We are not wholly located in any one particular world, the lump theorist claims, just as we are not wholly spatially located where one’s hand is. We are modally spread out, a trans-world mereological sum of world-bound parts. We are lump sums of modal parts. And so are all other ordinary objects. In this paper, (...)
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  32.  58
    Fate, Time, and Language: An Essay on Free Will.David Foster Wallace, James Ryerson & Jay Garfield (eds.) - 2010 - New York, NY, USA: Columbia University Press.
    In 1962, the philosopher Richard Taylor used six commonly accepted presuppositions to imply that human beings have no control over the future. David Foster Wallace not only took issue with Taylor's method, which, according to him, scrambled the relations of logic, language, and the physical world, but also noted a semantic trick at the heart of Taylor's argument. _Fate, Time, and Language_ presents Wallace's brilliant critique of Taylor's work. Written long before the publication of his fiction and essays, (...)
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  33. From water to atoms.Wallace I. Matson - 1983 - In Kevin Robb (ed.), Language and thought in early Greek philosophy. La Salle, Ill.: Hegeler Institute.
     
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  34.  3
    The cosmic egg, AKA the primeval germ: a journey of 59 + 21 zeroes.Richard Bruce Wallace - 2012 - Pittsburgh, Penn.: Dorrance Pub. Co..
    This book is the complete story of the creation of the universe, as it was understood by the ancient Egyptians. It is a collection of harmonic and radical 'Black Thoughts' and the pursuit of equality for all of this planet's inhabitants"--P. vii.
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  35. Reason and responsibility.R. Jay Wallace - 1997 - In Garrett Cullity & Berys Nigel Gaut (eds.), Ethics and practical reason. New York: Oxford University Press. pp. 321--345.
  36. Varieties of divergence: A response to Saunders and Wallace.Paul Tappenden - unknown
    I continue to maintain that David Lewis’s concept of overlapping persons cannot yield pre-measurement uncertainty in the Everett interpretation of quantum mechanics in the way that Simon Saunders and David Wallace originally seemed to suggest. However, I argue that in their reply to me they make it clear that they do not wish to invoke overlap of persons after all. That makes it mysterious why they defended their interpretation of personal overlap in the first place and questionable what role (...)
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  37.  5
    Hidden Dimensions: The Unification of Physics and Consciousness.B. Alan Wallace - 2007 - Cambridge University Press.
    Bridging the gap between the world of science and the realm of the spiritual, B. Alan Wallace introduces a natural theory of human consciousness that has its roots in contemporary physics and Buddhism. Wallace's "special theory of ontological relativity" suggests that mental phenomena are _conditioned_ by the brain, but do not _emerge_ from it. Rather, the entire natural world of mind and matter, subjects and objects, arises from a unitary dimension of reality that is more fundamental than these (...)
  38.  15
    Quantum computation in the neural membrane: Implications for the evolution of consciousness.Ron Wallace - 1996 - In Stuart R. Hameroff, Alfred W. Kaszniak & Alwyn Scott (eds.), Toward a Science of Consciousness: The First Tucson Discussions and Debates. MIT Press. pp. 419--424.
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  39. The Repertoire of Nonverbal Behavior: Categories, Origins, Usage, and Coding.Paul Ekman & Wallace V. Friesen - 1969 - Semiotica 1 (1):49-98.
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  40. Counterparts and Compositional Nihilism: A Reply to A. J. Cotnoir.Meg Wallace - 2013 - Thought: A Journal of Philosophy 2 (2):242-247.
    One of the primary burdens of the mereological nihilist is accounting for our ordinary intuitions about material objects. It certainly *seems* as if I am typing on a keyboard, which has particular keys and buttons as parts. But such intuitions are mistaken if mereological nihilism is right, leading to widespread error. So nihilists often propose paraphrases of our everyday utterances as compensation. Cotnoir aims to deliver a new paraphrase strategy on behalf of the nihilist: one that interprets parthood and composition (...)
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  41. Mental Fictionalism: A Foothold amid Deflationary Collapse.Meg Wallace - 2022 - In Tamás Demeter, T. Parent & Adam Toon (eds.), Mental Fictionalism: Philosophical Explorations. New York & London: Routledge. pp. 275-300.
    This is my second entry in Mental Fictionalism: Philosophical Explorations. It examines three meta-ontological deflationary approaches - frameworks, verbal disputes, and metalinguistic negotiation - and applies them to ontological debates in philosophy of mind. An intriguing consequence of this application is that it reveals a deep, systematic problem for mental deflationism – specifically, a problem of cognitive collapse. This is surprising. Cognitive collapse problems are usually reserved for serious ontological views such as eliminative materialism and mental fictionalism, not deflationism. This (...)
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  42. Discourse, Consciousness, and Time: The Flow and Displacement of Conscious Experience in Speaking and Writing.Wallace Chafe - 1994 - University of Chicago Press.
    This work offers a comprehensive picture of the dynamic natures of language and consciousness that will interest linguists, psychologists, literary scholars,...
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  43. Empirical Consequences of Symmetries.David Wallace & Hilary Greaves - 2014 - British Journal for the Philosophy of Science 65 (1):59-89.
    It is widely recognized that ‘global’ symmetries, such as the boost invariance of classical mechanics and special relativity, can give rise to direct empirical counterparts such as the Galileo-ship phenomenon. However, conventional wisdom holds that ‘local’ symmetries, such as the diffeomorphism invariance of general relativity and the gauge invariance of classical electromagnetism, have no such direct empirical counterparts. We argue against this conventional wisdom. We develop a framework for analysing the relationship between Galileo-ship empirical phenomena on the one hand, and (...)
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  44.  66
    The Pear Stories: Cognitive, Cultural, and Linguistic Aspects of Narrative Production.Wallace L. Chafe (ed.) - 1980 - Ablex.
  45.  62
    The Buddhist tradition of Samatha: Methods for refining and examining consciousness.B. A. Wallace - 1999 - Journal of Consciousness Studies 6 (2-3):175-187.
    [opening paragraph]: Buddhist inquiry into the natural world proceeds from a radically different point of departure than western science, and its methods differ correspondingly. Early pioneers of the scientific revolution, including Copernicus, Kepler, and Galileo, expressed an initial interest in the nature of physical objects most far removed from human subjectivity: such issues as the relative motions of the sun and earth, the surface of the moon, and the revolutions of the planets. And a central principle of scientific naturalism is (...)
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  46. Evidentiality: the linguistic coding of epistemology.Wallace L. Chafe & Johanna Nichols (eds.) - 1986 - Norwood, N.J.: Ablex.
  47.  15
    ‘The Problem of the Color Line’: Faculty approaches to teaching Social Justice in Baccalaureate Nursing Programs.Claire Paulino Valderama-Wallace & Ester Carolina Apesoa-Varano - 2020 - Nursing Inquiry 27 (3):e12349.
    Social justice is put forth as a core professional nursing value, although conceptualizations within foundational documents and among nurse educators remain inconsistent and contradictory. The purpose of this study was to explore how faculty teach social justice in theory courses in Baccalaureate programs. This qualitative study utilized constructivist grounded theory methods to examine processes informing participants' teaching. Participants utilize four overarching approaches: fostering engaging classroom climates, utilizing various naming strategies, framing diversity and culture as social justice, and role modeling a (...)
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  48. How to Argue about Practical Reason.R. Jay Wallace - 1990 - Mind 99 (395):355-385.
    How to Argue about . Bibliographic Info. Citation. How to Argue about ; Author(s): R. Jay Wallace; Source: Mind , New Series, Vol.
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  49. Intersubjectivity in Indo-Tibetan Buddhism.B. Wallace - 2001 - Journal of Consciousness Studies 8 (5-7):209-230.
    This essay focuses on the theme of intersubjectivity, which is central to the entire Indo-Tibetan Buddhist tradition. It addresses the following five themes pertaining to Buddhist concepts of intersubjectivity: the Buddhist practice of the cultivation of meditative quiescence challenges the hypothesis that individual human consciousness emerges solely from the dynamic interrelation of self and other; the central Buddhist insight practice of the four applications of mindfulness is a means for gaining insight into the nature of oneself, others and the relation (...)
     
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  50. Only in the context of a sentence do words have any meaning.John Wallace - 1977 - Midwest Studies in Philosophy 2 (1):144-164.
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