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Jeremy Butterfield [109]Jeremy N. Butterfield [3]
  1. Adam Caulton & Jeremy Butterfield (2012). Symmetries and Paraparticles as a Motivation for Structuralism. British Journal for the Philosophy of Science 63 (2):233-285.
    This article develops an analogy proposed by Stachel between general relativity (GR) and quantum mechanics (QM) as regards permutation invariance. Our main idea is to overcome Pooley's criticism of the analogy by appeal to paraparticles. In GR, the equations are (the solution space is) invariant under diffeomorphisms permuting spacetime points. Similarly, in QM the equations are invariant under particle permutations. Stachel argued that this feature—a theory's ‘not caring which point, or particle, is which’—supported a structuralist ontology. Pooley criticizes this analogy: (...)
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  2.  88
    Jeremy Butterfield (2006). Against Pointillisme About Mechanics. British Journal for the Philosophy of Science 57 (4):709-753.
    This paper forms part of a wider campaign: to deny em pointillisme. That is the doctrine that a physical theory's fundamental quantities are defined at points of space or of spacetime, and represent intrinsic properties of such points or point-sized objects located there; so that properties of spatial or spatiotemporal regions and their material contents are determined by the point-by-point facts. More specifically, this paper argues against pointillisme about the concept of velocity in classical mechanics; especially against proposals by Tooley, (...)
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  3. Jeremy Butterfield & Chris Isham (2001). Spacetime and the Philosophical Challenge of Quantum Gravity. In Physics Meets Philosophy at the Panck Scale. Cambridge University Press
    We survey some philosophical aspects of the search for a quantum theory of gravity, emphasising how quantum gravity throws into doubt the treatment of spacetime common to the two `ingredient theories' (quantum theory and general relativity), as a 4-dimensional manifold equipped with a Lorentzian metric. After an introduction (Section 1), we briefly review the conceptual problems of the ingredient theories (Section 2) and introduce the enterprise of quantum gravity (Section 3). We then describe how three main research programmes in quantum (...)
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  4.  68
    Jeremy Butterfield (2007). Stochastic Einstein Locality Revisited. British Journal for the Philosophy of Science 58 (4):805 - 867.
    I discuss various formulations of stochastic Einstein locality (SEL), which is a version of the idea of relativistic causality, that is, the idea that influences propagate at most as fast as light. SEL is similar to Reichenbach's Principle of the Common Cause (PCC), and Bell's Local Causality. My main aim is to discuss formulations of SEL for a fixed background spacetime. I previously argued that SEL is violated by the outcome dependence shown by Bell correlations, both in quantum mechanics and (...)
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  5. Jeremy Butterfield (1989). The Hole Truth. British Journal for the Philosophy of Science 40 (1):1-28.
  6.  92
    Jeremy Butterfield (2001). Some Worlds of Quantum Theory. In R. J. Russell, N. Murphy & C. J. Isham (eds.), Quantum Physics and Divine Action. Vatican Observatory Publications 111--140.
    Abstract: This paper assesses the Everettian approach to the measurement problem, especially the version of that approach advocated by Simon Saunders and David Wallace. I emphasise conceptual, indeed metaphysical, aspects rather than technical ones; but I include an introductory exposition of decoherence. In particular, I discuss whether---as these authors maintain---it is acceptable to have no precise definition of 'branch' (in the Everettian kind of sense). (A version of this paper will appear in a CTNS/Vatican Observatory volume on Quantum Theory and (...)
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  7.  22
    Nazim Bouatta & Jeremy Butterfield (2015). On Emergence in Gauge Theories at the ’T Hooft Limit‘. European Journal for Philosophy of Science 5 (1):55-87.
    Quantum field theories are notoriously difficult to understand, physically as well as philosophically. The aim of this paper is to contribute to a better conceptual understanding of gauge quantum field theories, such as quantum chromodynamics, by discussing a famous physical limit, the ’t Hooft limit, in which the theory concerned often simplifies. The idea of the limit is that the number N of colours goes to infinity. The simplifications that can happen in this limit, and that we will consider, are: (...)
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  8. Jeremy Butterfield (1992). Bell's Theorem: What It Takes. British Journal for the Philosophy of Science 43 (1):41-83.
    I compare deterministic and stochastic hidden variable models of the Bell experiment, exphasising philosophical distinctions between the various ways of combining conditionals and probabilities. I make four main claims. (1) Under natural assumptions, locality as it occurs in these models is equivalent to causal independence, as analysed (in the spirit of Lewis) in terms of probabilities and conditionals. (2) Stochastic models are indeed more general than deterministic ones. (3) For factorizable stochastic models, relativity's lack of superluminal causation does not favour (...)
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  9.  47
    Jeremy Butterfield (2014). On Under-Determination in Cosmology. Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 46 (1):57-69.
    I discuss how modern cosmology illustrates under-determination of theoretical hypotheses by data, in ways that are different from most philosophical discussions. I emphasise cosmology's concern with what data could in principle be collected by a single observer ; and I give a broadly sceptical discussion of cosmology's appeal to the cosmological principle as a way of breaking the under-determination .I confine most of the discussion to the history of the observable universe from about one second after the Big Bang, as (...)
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  10. Jeremy Butterfield & Chris Isham (1999). On the Emergence of Time in Quantum Gravity. In The Arguments of Time. Published for the British Academy by Oxford University Press 111--168.
    We discuss from a philosophical perspective the way in which the normal concept of time might be said to `emerge' in a quantum theory of gravity. After an introduction, we briefly discuss the notion of emergence, without regard to time. We then introduce the search for a quantum theory of gravity ; and review some general interpretative issues about space, time and matter. We then discuss the emergence of time in simple quantum geometrodynamics, and in the Euclidean approach. Section 6 (...)
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  11.  22
    Jeremy Butterfield, On Time in Quantum Physics.
    First, I briefly review the different conceptions of time held by three rival interpretations of quantum theory: the collapse of the wave-packet, the pilot-wave interpretation, and the Everett interpretation. Then I turn to a much less controversial task: to expound the recent understanding of the time-energy uncertainty principle, and indeed of uncertainty principles in general, that has been established by such authors as Busch, Hilgevoord and Uffink. Although this may at first seem a narrow topic, I point out connections to (...)
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  12.  6
    Jeremy Butterfield (2015). Anthony Duncan,The Conceptual Framework of Quantum Field Theory. Oxford: Oxford University Press , 782 Pp., £79.00. Philosophy of Science 82 (2):326-330.
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  13. Jeremy Butterfield & Chris Isham (2001). Physics Meets Philosophy at the Panck Scale. Cambridge University Press.
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  14.  58
    Jeremy Butterfield (2006). Against Pointillisme About Mechanics. British Journal for the Philosophy of Science 57 (4):709-753.
    This paper forms part of a wider campaign: to deny pointillisme, the doctrine that a physical theory's fundamental quantities are defined at points of space or of spacetime, and represent intrinsic properties of such points or point-sized objects located there; so that properties of spatial or spatiotemporal regions and their material contents are determined by the point-by-point facts. More specifically, this paper argues against pointillisme about the concept of velocity in classical mechanics; especially against proposals by Tooley, Robinson and Lewis. (...)
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  15.  34
    Sebastian De Haro, Nicholas Teh & Jeremy Butterfield, Comparing Dualities and Gauge Symmetries.
    We discuss some aspects of the relation between dualities and gauge symmetries. Both of these ideas are of course multi-faceted, and we confine ourselves to making two points. Both points are about dualities in string theory, and both have the ‘flavour’ that two dual theories are ‘closer in content’ than you might think. For both points, we adopt a simple conception of a duality as an ‘isomorphism’ between theories: more precisely, as appropriate bijections between the two theories’ sets of states (...)
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  16.  22
    Jeremy Butterfield & Nazim Bouatta, Emergence and Reduction Combined in Phase Transitions.
    In another paper, one of us argued that emergence and reduction are compatible, and presented four examples illustrating both. The main purpose of this paper is to develop this position for the example of phase transitions. We take it that emergence involves behaviour that is novel compared with what is expected: often, what is expected from a theory of the system's microscopic constituents. We take reduction as deduction, aided by appropriate definitions. Then the main idea of our reconciliation of emergence (...)
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  17.  14
    George Fleming & Jeremy Butterfield (1999). Strange Positions. In From Physics to Philosophy.
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  18.  57
    Jeremy Butterfield (2007). Reconsidering Relativistic Causality. International Studies in the Philosophy of Science 21 (3):295 – 328.
    I discuss the idea of relativistic causality, i.e., the requirement that causal processes or signals can propagate only within the light-cone. After briefly locating this requirement in the philosophy of causation, my main aim is to draw philosophers' attention to the fact that it is subtle, indeed problematic, in relativistic quantum physics: there are scenarios in which it seems to fail. I set aside two such scenarios, which are familiar to philosophers of physics: the pilot-wave approach, and the Newton-Wigner representation. (...)
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  19.  59
    Jeremy Butterfield (1993). Interpretation and Identity in Quantum Theory. Studies in History and Philosophy of Science 24 (3):443--76.
  20.  52
    Jeremy Butterfield (2012). Underdetermination in Cosmology: An Invitation. Aristotelian Society Supplementary Volume 86 (1):1-18.
    I discuss how modern cosmology illustrates underdetermination of theoretical hypotheses by data, in ways that are different from most philosophical discussions. I confine the discussion to the history of the observable universe from about one second after the Big Bang, as described by the mainstream cosmological model: in effect, what cosmologists in the early 1970s dubbed the ‘standard model’, as elaborated since then. Or rather, the discussion is confined to a (very!) few aspects of that history. I emphasize that despite (...)
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  21. Jeremy Butterfield (1992). David Lewis Meets John Bell. Philosophy of Science 59 (1):26-43.
    The violation of the Bell inequality means that measurement-results in the two wings of the experiment cannot be screened off from one another, in the sense of Reichenbach. But does this mean that there is causation between the results? I argue that it does, according to Lewis's counterfactual analysis of causation and his associated views. The reason lies in his doctrine that chances evolve by conditionalization on intervening history. This doctrine collapses the distinction between the conditional probabilities that are used (...)
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  22.  74
    Jeremy Butterfield (2002). The End of Time? British Journal for the Philosophy of Science 53:289--330.
    I discuss Julian Barbour's Machian theories of dynamics, and his proposal that a Machian perspective enables one to solve the problem of time in quantum geometrodynamics (by saying that there is no time!). I concentrate on his recent book, The End of Time (1999). A shortened version will appear in The British Journal for Philosophy of Science}.
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  23.  76
    Jeremy Butterfield (2014). Reduction, Emergence, and Renormalization. Journal of Philosophy 111 (1):5-49.
    In previous work, I described several examples combining reduction and emergence: where reduction is understood a la Ernest Nagel, and emergence is understood as behaviour that is novel. Here, my aim is again to reconcile reduction and emergence, for a case which is apparently more problematic than those I treated before: renormalization. My main point is that renormalizability being a generic feature at accessible energies gives us a conceptually unified family of Nagelian reductions. That is worth saying since philosophers tend (...)
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  24.  76
    Jeremy Butterfield (ed.) (1999). The Arguments of Time. Published for the British Academy by Oxford University Press.
    These nine essays address fundamental questions about time in philosophy, physics, linguistics, and psychology. Are there facts about the future? Could we affect the past? In physics, general relativity and quantum theory give contradictory treatments of time. So in the current search for a theory of quantum gravity, which should give way: general relativity or quantum theory? In linguistics and psychology, how does our language represent time, and how do our minds keep track of it?
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  25.  34
    Sebastian de Haro, Daniel Mayerson & Jeremy Butterfield (2016). Conceptual Aspects of Gauge/Gravity Duality. Foundations of Physics 46 (11):1381-1425.
    We give an introductory review of gauge/gravity duality, and associated ideas of holography, emphasising the conceptual aspects. The opening sections gather the ingredients, viz. anti-de Sitter spacetime, conformal field theory and string theory, that we need for presenting, in Sect. 5, the central and original example: Maldacena’s AdS/CFT correspondence. Sections 6 and 7 develop the ideas of this example, also in applications to condensed matter systems, QCD, and hydrodynamics. Sections 8 and 9 discuss the possible extensions of holographic ideas to (...)
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  26.  83
    Jeremy Butterfield, On Symmetry and Conserved Quantities in Classical Mechanics.
    This paper expounds the relations between continuous symmetries and conserved quantities, i.e. Noether's ``first theorem'', in both the Lagrangian and Hamiltonian frameworks for classical mechanics. This illustrates one of mechanics' grand themes: exploiting a symmetry so as to reduce the number of variables needed to treat a problem. I emphasise that, for both frameworks, the theorem is underpinned by the idea of cyclic coordinates; and that the Hamiltonian theorem is more powerful. The Lagrangian theorem's main ``ingredient'', apart from cyclic coordinates, (...)
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  27.  8
    Jeremy Butterfield, Laws, Causation and Dynamics at Different Levels.
    I have two main aims. The first is general, and more philosophical. The second is specific, and more closely related to physics. The first aim is to state my general views about laws and causation at different ` levels '. The main task is to understand how the higher levels sustain notions of law and causation that `ride free' of reductions to the lower level or levels. I endeavour to relate my views to those of other symposiasts. The second aim (...)
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  28.  33
    Jeremy Butterfield, Our Mathematical Universe?
    This is a discussion of some themes in Max Tegmark’s recent book, Our Mathematical Universe. It was written as a review for Plus Magazine, the online magazine of the UK’s national mathematics education and outreach project, the Mathematics Millennium Project. Since some of the discussion---about symmetry breaking, and Pythagoreanism in the philosophy of mathematics---went beyond reviewing Tegmark’s book, the material was divided into three online articles. This version combines those three articles, and adds some other material, in particular a brief (...)
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  29.  20
    Jeremy Butterfield, On Time Chez Dummett.
    I discuss three connections between Dummett's writings about time and philosophical aspects of physics. The first connection arises from remarks of Dummett's about the different relations of observation to time and to space. The main point is uncontroversial and applies equally to classical and quantum physics. It concerns the fact that perceptual processing is so rapid, compared with the typical time-scale on which macroscopic objects change their observable properties, that it engenders the idea of a `common now', spread across space. (...)
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  30.  74
    Jeremy Butterfield, On Symplectic Reduction in Classical Mechanics.
    This paper expounds the modern theory of symplectic reduction in finite-dimensional Hamiltonian mechanics. This theory generalizes the well-known connection between continuous symmetries and conserved quantities, i.e. Noether's theorem. It also illustrates one of mechanics' grand themes: exploiting a symmetry so as to reduce the number of variables needed to treat a problem. The exposition emphasises how the theory provides insights about the rotation group and the rigid body. The theory's device of quotienting a state space also casts light on philosophical (...)
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  31.  16
    Gordon Fleming & Jeremy Butterfield (1999). Strange Positions. In Jeremy Butterfield & Constantine Pagonis (eds.), From Physics to Philosophy. Cambridge University Press 108--165.
    The current status of localization and related concepts, especially localized statevectors and position operators, within Lorentz-invariant Quantum Theory (LIQT) is ambiguous and controversial.1 Ever since the early work of Newton & Wigner (1949), and the subsequent extensions of their work, particularly by Hegerfeldt (1974, 1985), it has seemed impossible to identify localized statevectors or position operators in LIQT that were not counterintuitive—strange—in one way or another; the most striking strange property being the superluminal propagation of the localized states. The ambiguous (...)
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  32.  68
    Chris Isham & Jeremy Butterfield, A Topos Perspective on the Kochen-Specker Theorem: I. Quantum States as Generalised Valuations.
    Any attempt to construct a realist interpretation of quantum theory founders on the Kochen-Specker theorem, which asserts the impossibility of assigning values to quantum quantities in a way that preserves functional relations between them. We construct a new type of valuation which is defined on all operators, and which respects an appropriate version of the functional composition principle. The truth-values assigned to propositions are (i) contextual; and (ii) multi-valued, where the space of contexts and the multi-valued logic for each context (...)
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  33. Robert K. Clifton, Jeremy N. Butterfield & Michael L. G. Redhead (1990). Nonlocal Influences and Possible Worlds--A Stapp in the Wrong Direction. British Journal for the Philosophy of Science 41 (1):5-58.
    give a proof of the existence of nonlocal influences acting on correlated spin-1/2 particles in the singlet state which does not require any particular interpretation of quantum mechanics (QM). (Except Stapp holds that the proof fails under a many-worlds interpretation of QM—a claim we analyse in 1.2.) Recently, in responding to Redhead's ([1987], pp. 90-6) criticism that the Stapp 1 proof fails under an indeterministic interpretation of QM, Stapp [1989] (henceforth Stapp 2), has revised the logical structure of his proof (...)
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  34.  67
    Jeremy Butterfield (2005). On the Persistence of Particles. Foundations of Physics 35 (2):233-269.
    This paper is about the metaphysical debate whether objects persist over time by the selfsame object existing at different times (nowadays called “endurance” by metaphysicians), or by different temporal parts, or stages, existing at different times (called “perdurance”). I aim to illuminate the debate by using some elementary kinematics and real analysis: resources which metaphysicians have, surprisingly, not availed themselves of. There are two main results, which are of interest to both endurantists and perdurantists. (1) I describe a precise formal (...)
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  35.  8
    Feraz Azhar & Jeremy Butterfield, Scientific Realism and Primordial Cosmology.
    We discuss scientific realism from the perspective of modern cosmology, especially primordial cosmology: i.e. the cosmological investigation of the very early universe. We first state our allegiance to scientific realism, and discuss what insights about it cosmology might yield, as against "just" supplying scientific claims that philosophers can then evaluate. In particular, we discuss: the idea of laws of cosmology, and limitations on ascertaining the global structure of spacetime. Then we review some of what is now known about the early (...)
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  36.  87
    Jeremy Butterfield (2006). The Rotating Discs Argument Defeated. British Journal for the Philosophy of Science 57 (1):1-45.
  37.  6
    Sebastian De Haro, Daniel R. Mayerson & Jeremy N. Butterfield (2016). Conceptual Aspects of Gauge/Gravity Duality. Foundations of Physics 46 (11):1381-1425.
    We give an introductory review of gauge/gravity duality, and associated ideas of holography, emphasising the conceptual aspects. The opening sections gather the ingredients, viz. anti-de Sitter spacetime, conformal field theory and string theory, that we need for presenting, in Sect. 5, the central and original example: Maldacena’s AdS/CFT correspondence. Sections 6 and 7 develop the ideas of this example, also in applications to condensed matter systems, QCD, and hydrodynamics. Sections 8 and 9 discuss the possible extensions of holographic ideas to (...)
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  38.  83
    Jeremy Butterfield, Against Pointillisme: A Call to Arms.
    This paper forms part of a wider campaign: to deny pointillisme. That is the doctrine that a physical theory's fundamental quantities are defined at points of space or of spacetime, and represent intrinsic properties of such points or point-sized objects located there; so that properties of spatial or spatiotemporal regions and their material contents are determined by the point-by-point facts. Elsewhere, I argued against pointillisme about chrono-geometry, and about velocity in classical mechanics. In both cases, attention focussed on temporal extrinsicality: (...)
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  39.  49
    Robert K. Clifton, Michael L. G. Redhead & Jeremy N. Butterfield (1991). Generalization of the Greenberger-Horne-Zeilinger Algebraic Proof of Nonlocality. Foundations of Physics 21 (2):149-184.
    We further develop a recent new proof (by Greenberger, Horne, and Zeilinger—GHZ) that local deterministic hidden-variable theories are inconsistent with certain strict correlations predicted by quantum mechanics. First, we generalize GHZ's proof so that it applies to factorable stochastic theories, theories in which apparatus hidden variables are causally relevant to measurement results, and theories in which the hidden variables evolve indeterministically prior to the particle-apparatus interactions. Then we adopt a more general measure-theoretic approach which requires that GHZ's argument be modified (...)
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  40. Jeremy Butterfield & John Earman (2007). Handbook of Philosophy of Science. In Jeremy Butterfield & John Earman (eds.), Philosophy of Physics. Elsevier
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  41.  92
    Jeremy Butterfield (1998). Seeing the Present. In Robin Le Poidevin (ed.), Mind. Oxford: Clarendon Press 161-176.
  42. Jeremy Butterfield (1998). Quantum Curiosities of Psychophysics. In J. Cornwell (ed.), Consciousness and Human Identity. Oxford University Press
    I survey some of the connections between the metaphysics of the relation between mind and matter, and quantum theory’s measurement problem. After discussing the metaphysics, especially the correct formulation of physicalism, I argue that two state-reduction approaches to quantum theory’s measurement problem hold some surprises for philosophers’ discussions of physicalism. Though both approaches are compatible with physicalism, they involve a very different conception of the physical, and of how the physical underpins the mental, from what most philosophers expect. And one (...)
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  43.  51
    Jeremy Butterfield, Constantine Pagonis, Andrea Carlino, Kenneth J. Carpenter, Nancy Cartwright, L. L. Cavalli-Sforza, W. F. Bodmer, Clark William, Jan Golinski & Simon Schaffer (2000). Aleksandrov, AD, AN Kolmogorov, and MA Lavrent'ev. Mathemat-Ics: Its Content, Methods and Meaning. 3 Vols. In One. Mineola: Dover Publications, 1999.(First Published in 1963). Pp Xv+ 1120. $29.95 (Paper). Beller, Mara. Quantum Dialogue: The Making of a Revolution. Chicago And. [REVIEW] Perspectives on Science 8 (1).
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  44.  33
    Jeremy Butterfield (2002). Critical Notice. British Journal for the Philosophy of Science 53 (2):289-330.
    This review of Julian Barbour's The End of Time ([1999]) discusses his Machian theories of dynamics, and his proposal that a Machian perspective enables one to solve the problem of time in quantum geometrodynamics, viz. by saying that there is no time! 1 Introduction 2 Machian themes in classical physics 2.1 The status quo 2.2 Machianism 2.2.1 The temporal metric as emergent 2.2.2 Machian theories 2.2.3 Assessing intrinsic dynamics 3 The end of time? 3.1 Time unreal? The classical case 3.1.1 (...)
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  45.  13
    Jeremy Butterfield (2011). Against Pointillisme: A Call to Arms. In Dennis Dieks, Wenceslao Gonzalo, Thomas Uebel, Stephan Hartmann & Marcel Weber (eds.), Explanation, Prediction, and Confirmation. Springer 347--365.
    This paper forms part of a wider campaign: to deny pointillisme. That is the doctrine that a physical theory's fundamental quantities are defined at points of space or of spacetime, and represent intrinsic properties of such points or point-sized objects located there; so that properties of spatial or spatiotemporal regions and their material contents are determined by the point-by-point facts. Elsewhere, I argued against pointillisme about chrono-geometry, and about velocity in classical mechanics. In both cases, attention focussed on temporal extrinsicality: (...)
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  46.  51
    George Svetlichny, Michael Redhead, Harvey Brown & Jeremy Butterfield (1988). Do the Bell Inequalities Require the Existence of Joint Probability Distributions? Philosophy of Science 55 (3):387-401.
    Fine has recently proved the surprising result that satisfaction of the Bell inequality in a Clauser-Horne experiment implies the existence of joint probabilities for pairs of noncommuting observables in the experiment. In this paper we show that if probabilities are interpreted in the von Mises-Church sense of relative frequencies on random sequences, a proof of the Bell inequality is nonetheless possible in which such joint probabilities are assumed not to exist. We also argue that Fine's theorem and related results do (...)
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  47.  3
    Jeremy Butterfield (1990). Lucas Revived? An Undefended Flank. Behavioral and Brain Sciences 13 (4):658.
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  48. Jeremy Butterfield, Quantum Chance and Non-Locality.
    This is an excellent book, by one of the philosophy of quantum theory's brightest stars. It combines a clear presentation of determinism, probability and non-locality in several current interpretations of quantum theory, with a good deal of detailed analysis, both reporting other people's and Dickson's own results, and developing his own ideas|which are often heterodox, but always well-defended and thought-provoking. The treatment is often concise, especially when reporting standard material or others' results. There are also frequent changes of gear; both (...)
     
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  49.  62
    Jeremy Butterfield & Chris Isham, A Topos Perspective on the Kochen-Specker Theorem: II. Conceptual Aspects, and Classical Analogues.
    In a previous paper, we have proposed assigning as the value of a physical quantity in quantum theory, a certain kind of set (a sieve) of quantities that are functions of the given quantity. The motivation was in part physical---such a valuation illuminates the Kochen-Specker theorem; and in part mathematical---the valuation arises naturally in the topos theory of presheaves. This paper discusses the conceptual aspects of this proposal. We also undertake two other tasks. First, we explain how the proposed valuations (...)
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  50.  22
    Jeremy Butterfield & Nazim Bouatta, Renormalization for Philosophers.
    We have two aims. The main one is to expound the idea of renormalization in quantum field theory, with no technical prerequisites. Our motivation is that renormalization is undoubtedly one of the great ideas—and great successes--of twentieth-century physics. Also it has strongly influenced in diverse ways, how physicists conceive of physical theories. So it is of considerable philosophical interest. Second, we will briefly relate renormalization to Ernest Nagel's account of inter-theoretic relations, especially reduction. One theme will be a contrast between (...)
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