Search results for 'Symmetry' (try it on Scholar)

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  1. Bas C. Van Fraassen (1989). Laws and Symmetry. Oxford University Press.
    Metaphysicians speak of laws of nature in terms of necessity and universality; scientists, in terms of symmetry and invariance. In this book van Fraassen argues that no metaphysical account of laws can succeed. He analyzes and rejects the arguments that there are laws of nature, or that we must believe there are, and argues that we should disregard the idea of law as an adequate clue to science. After exploring what this means for general epistemology, the author develops the (...)
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  2. Matt Farr & Alexander Reutlinger (2013). A Relic of a Bygone Age? Causation, Time Symmetry and the Directionality Argument. Erkenntnis 78 (2):215-235.
    Bertrand Russell famously argued that causation is not part of the fundamental physical description of the world, describing the notion of cause as “a relic of a bygone age” (Russell in Proc Aristot Soc 13:1–26, 1913). This paper assesses one of Russell’s arguments for this conclusion: the ‘Directionality Argument’, which holds that the time symmetry of fundamental physics is inconsistent with the time asymmetry of causation. We claim that the coherence and success of the Directionality Argument crucially (...)
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  3.  56
    Simon Friederich (2013). Gauge Symmetry Breaking in Gauge Theories—in Search of Clarification. European Journal for Philosophy of Science 3 (2):157-182.
    The paper investigates the spontaneous breaking of gauge symmetries in gauge theories from a philosophical angle, taking into account the fact that the notion of a spontaneously broken local gauge symmetry, though widely employed in textbook expositions of the Higgs mechanism, is not supported by our leading theoretical frameworks of gauge quantum theories. In the context of lattice gauge theory, the statement that local gauge symmetry cannot be spontaneously broken can even be made rigorous in the form of (...)
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  4. Errol Lord (2013). The Real Symmetry Problem(s) for Wide-Scope Accounts of Rationality. Philosophical Studies (3):1-22.
    You are irrational when you are akratic. On this point most agree. Despite this agreement, there is a tremendous amount of disagreement about what the correct explanation of this data is. Narrow-scopers think that the correct explanation is that you are violating a narrow-scope conditional requirement. You lack an intention to x that you are required to have given the fact that you believe you ought to x. Wide-scopers disagree. They think that a conditional you are required to make true (...)
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  5.  78
    Dean Rickles (2013). Mirror Symmetry and Other Miracles in Superstring Theory. Foundations of Physics 43 (1):54-80.
    The dominance of string theory in the research landscape of quantum gravity physics (despite any direct experimental evidence) can, I think, be justified in a variety of ways. Here I focus on an argument from mathematical fertility, broadly similar to Hilary Putnam’s ‘no miracles argument’ that, I argue, many string theorists in fact espouse in some form or other. String theory has generated many surprising, useful, and well-confirmed mathematical ‘predictions’—here I focus on mirror symmetry and the mirror theorem. These (...)
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  6.  66
    Gordon Belot (2013). Symmetry and Equivalence. In Robert Batterman (ed.), The Oxford Handbook of Philosophy of Physics. Oxford University Press 318-339.
    This paper is concerned with the relation between two notions: that of two solutions or models of a theory being related by a symmetry of the theory and that of solutions or models being physically equivalent. A number of authors have recently discussed this relation, some taking an optimistic view, on which there is a suitable concept of the symmetry of a theory relative to which these two notions coincide, others taking a pessimistic view, on which there is (...)
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  7.  27
    Johan E. Gustafsson (2013). Value-Preference Symmetry and Fitting-Attitude Accounts of Value Relations. Philosophical Quarterly 63 (252):476–491.
    Joshua Gert and Wlodek Rabinowicz have developed frameworks for value relations that are rich enough to allow for non-standard value relations such as parity. Yet their frameworks do not allow for any non-standard preference relations. In this paper, I shall defend a symmetry between values and preferences, namely, that for every value relation, there is a corresponding preference relation, and vice versa. I claim that if the arguments that there are non-standard value relations are cogent, these arguments, mutatis mutandis, (...)
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  8.  7
    Noson S. Yanofsky & Mark Zelcer (forthcoming). The Role of Symmetry in Mathematics. Foundations of Science:1-21.
    Over the past few decades the notion of symmetry has played a major role in physics and in the philosophy of physics. Philosophers have used symmetry to discuss the ontology and seeming objectivity of the laws of physics. We introduce several notions of symmetry in mathematics and explain how they can also be used in resolving different problems in the philosophy of mathematics. We use symmetry to discuss the objectivity of mathematics, the role of mathematical objects, (...)
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  9.  9
    Huiyuhl Yi (forthcoming). The Symmetry Argument Against the Deprivation Account. Philosophia:1-13.
    Here I respond to Anthony Brueckner and John Martin Fischer’s “The Evil of Death: A Reply to Yi.” They developed an influential strategy in defense of the deprivation account of death’s badness against the Lucretian symmetry problem. The core of their argument consists in the claim that it is rational for us to welcome future intrinsic goods while being indifferent to past intrinsic goods. Previously, I argued that their approach is compatible with the evil of late birth insofar as (...)
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  10.  94
    Bert Schroer (2011). Bondi-Metzner-Sachs Symmetry, Holography on Null-Surfaces and Area Proportionality of “Light-Slice” Entropy. Foundations of Physics 41 (2):204-241.
    It is shown that certain kinds of behavior, which hitherto were expected to be characteristic for classical gravity and quantum field theory in curved spacetime, as the infinite dimensional Bondi-Metzner-Sachs symmetry, holography on event horizons and an area proportionality of entropy, have in fact an unnoticed presence in Minkowski QFT.This casts new light on the fundamental question whether the volume proportionality of heat bath entropy and the (logarithmically corrected) dimensionless area law obeyed by localization-induced thermal behavior are different geometric (...)
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  11.  4
    Aleksey V. Ilyin (forthcoming). The Born Rule and Time-Reversal Symmetry of Quantum Equations of Motion. Foundations of Physics:1-7.
    It was repeatedly underlined in literature that quantum mechanics cannot be considered a closed theory if the Born Rule is postulated rather than derived from the first principles. In this work the Born Rule is derived from the time-reversal symmetry of quantum equations of motion. The derivation is based on a simple functional equation that takes into account properties of probability, as well as the linearity and time-reversal symmetry of quantum equations of motion. The derivation presented in this (...)
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  12.  73
    Ted Jacobson & Aron C. Wall (2010). Black Hole Thermodynamics and Lorentz Symmetry. Foundations of Physics 40 (8):1076-1080.
    Recent developments point to a breakdown in the generalized second law of thermodynamics for theories with Lorentz symmetry violation. It appears possible to construct a perpetual motion machine of the second kind in such theories, using a black hole to catalyze the conversion of heat to work. Here we describe and extend the arguments leading to that conclusion. We suggest the inference that local Lorentz symmetry may be an emergent property of the macroscopic world with origins in a (...)
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  13.  62
    Yaakov Friedman & Yuriy Gofman (2002). Relativistic Linear Spacetime Transformations Based on Symmetry. Foundations of Physics 32 (11):1717-1736.
    Usually the Lorentz transformations are derived from the conservation of the spacetime interval. We propose here a way of obtaining spacetime transformations between two inertial frames directly from symmetry, the isotropy of the space and principle of relativity. The transformation is uniquely defined except for a constant e, that depends only on the process of synchronization of clocks inside each system. Relativistic velocity addition is obtained, and it is shown that the set of velocities is a bounded symmetric domain. (...)
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  14.  11
    John Thrasher (2014). Uniqueness and Symmetry in Bargaining Theories of Justice. Philosophical Studies 167 (3):683-699.
    For contractarians, justice is the result of a rational bargain. The goal is to show that the rules of justice are consistent with rationality. The two most important bargaining theories of justice are David Gauthier’s and those that use the Nash’s bargaining solution. I argue that both of these approaches are fatally undermined by their reliance on a symmetry condition. Symmetry is a substantive constraint, not an implication of rationality. I argue that using symmetry to generate uniqueness (...)
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  15.  64
    Elena Castellani (2002). Symmetry, Quantum Mechanics, and Beyond. Foundations of Science 7 (1-2):181-196.
    The relevance of symmetry to today's physics is a widely acknowledged fact. A significant part of recent physical inquiry – especially the physics concerned with investigating the fundamentalbuilding blocks of nature – is grounded on symmetry principles andtheir many and far-reaching consequences. But where these symmetries come from and what their real meaning is are open questions, at the center of a developing debate among physicists and philosophers of science. To tackle the problems arising in considering the (...) issue is the main purpose of this paper. Starting with briefly recalling the bases for the discussion – how symmetry enters and operates in physics, its special effectiveness in the quantum domain and the many relevant functions it performs (Sections 1–3), the paper then focus on the general interpretative questions that arise and the sorts of answers that have been given (Section 4). (shrink)
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  16. A. Zee (1986/1999). Fearful Symmetry: The Search for Beauty in Modern Physics. Princeton University Press.
    Fearful Symmetry brings the incredible discoveries of contemporary physics within everyone's grasp. A. Zee, a distinguished physicist and skillful expositor, tells the exciting story of how today's theoretical physicists are following Einstein in their search for the beauty and simplicity of Nature. Animated by a sense of reverence and whimsy, the book describes the majestic sweep and accomplishments of twentieth-century physics. In the end, we stand in awe before the grand vision of modern physics--one of the greatest chapters in (...)
     
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  17.  43
    Noah Moss Brender (2013). Sense-Making and Symmetry-Breaking. Symposium: The Canadian Journal of Continental Philosophy 17 (2):246-270.
    From his earliest work forward, Merleau-Ponty attempted to develop a new ontology of nature that would avoid the antinomies of realism and idealism by showing that nature has its own endogenous sense which is prior to reflection. The key to this new ontology was the concept of form, which he appropriated from Gestalt psychology. However, Merleau-Ponty struggled to give a positive characterization of the phenomenon of form which would clarify its ontological status. Evan Thompson has recently taken up Merleau-Ponty’s ontology (...)
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  18. Sebastian Lutz & Stephan Hartmann (2010). Conventional and Objective Invariance: Debs and Redhead on Symmetry. [REVIEW] Metascience 19:15-23.
    This review is a critical discussion of three main claims in Debs and Redhead’s thought-provoking book Objectivity, Invariance, and Convention. These claims are: (i) Social acts impinge upon formal aspects of scientific representation; (ii) symmetries introduce the need for conventional choice; (iii) perspectival symmetry is a necessary and sufficient condition for objectivity, while symmetry simpliciter fails to be necessary.
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  19.  21
    Rafael Ferber (2010). Plato's "Side Suns" : Beauty, Symmetry and Truth. Comments Concerning Semantic Monism and Pluralism of the "Good" in the "Philebus". Elenchos: Rivista di Studi Sul Pensiero Antico 31 (1):51-76.
    Under semantic monism I understand the thesis “The Good is said in one way” and under semantic pluralism the antithesis “The Good is said in many ways”. Plato’s Socrates seems to defend a “semantic monism”. As only one sun exists, so the “Good” has for Socrates and Plato only one reference. Nevertheless, Socrates defends in the Philebus a semantic pluralism, more exactly trialism, of “beauty, symmetry and truth” . Therefore, metaphorically speaking, there seem to exist not only one sun, (...)
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  20.  30
    Yusuf Sucu & Nuri Ünal (2012). Symmetry and Integrability in the Classical Model of Zitterbewegung. Foundations of Physics 42 (8):1067-1077.
    We extended the Barut’s classical model of zitterbewegung from 3+1 dimensional spacetime into 2+1 and 1+1 dimensional spacetimes and discussed the symmetry and integrability properties of the model in 2+1, 1+1 and 3+1 dimensions. In these cases, the free particle current or the velocity of the particle can be decomposed as a constant convection current and polarization currents.In 2+1 dimensional spacetime, a velocity of the particle and spin tensor are dependent to each other and the chirality can not be (...)
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  21.  18
    Donatello Dolce & Andrea Perali (2014). The Role of Quantum Recurrence in Superconductivity, Carbon Nanotubes and Related Gauge Symmetry Breaking. Foundations of Physics 44 (9):905-922.
    Pure quantum phenomena are characterized by intrinsic recurrences in space and time. We use this intrinsic periodicity as a quantization condition to derive a heuristic description of the essential quantum phenomenology of superconductivity. The resulting description is based on fundamental quantum dynamics and geometrical considerations, rather than on microscopical characteristics of the superconducting materials. This allows us to investigate the related gauge symmetry breaking in terms of the competition between quantum recurrence and thermal noise. We also test the validity (...)
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  22.  17
    Kosuke Odagiri (2014). Standard Model Gauge Couplings From Gauge-Dilatation Symmetry Breaking. Foundations of Physics 44 (9):932-952.
    It is well known that the self-energy of the gauge bosons is quadratically divergent in the Standard Model when a simple cutoff is imposed. We demonstrate phenomenologically that the quadratic divergences in fact unify. The unification occurs at a surprisingly low scale, \(\Lambda _\mathrm {u}\approx 4\times 10^7\) GeV. Suppose now that there is a spontaneously broken rotational symmetry between the space-time coordinates and gauge theoretical phases. The symmetry-breaking pattern is such that the gauge bosons arise as the massless (...)
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  23.  20
    Inge S. Helland (2008). Quantum Mechanics From Focusing and Symmetry. Foundations of Physics 38 (9):818-842.
    A foundation of quantum mechanics based on the concepts of focusing and symmetry is proposed. Focusing is connected to c-variables—inaccessible conceptually derived variables; several examples of such variables are given. The focus is then on a maximal accessible parameter, a function of the common c-variable. Symmetry is introduced via a group acting on the c-variable. From this, the Hilbert space is constructed and state vectors and operators are given a definite interpretation. The Born formula is proved from weak (...)
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  24.  2
    Klaus Mainzer (1997). Symmetry and Complexity - Fundamental Concepts of Research in Chemistry. Hyle 3 (1):29 - 49.
    Molecules have more or less symmetric and complex structures which can be defined in the mathematical framework of topology, group theory, dynamical systems theory, and quantum mechanics. But symmetry and complexity are by no means only theoretical concepts of research. Modern computer aided visualizations show real forms of matter which nevertheless depend on the technical standards of observation, computation, and representation. Furthermore, symmetry and complexity are fundamental interdisciplinary concepts of research inspiring the natural sciences since the antiquity.
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  25.  14
    Timothy H. Boyer (2010). Blackbody Radiation and the Scaling Symmetry of Relativistic Classical Electron Theory with Classical Electromagnetic Zero-Point Radiation. Foundations of Physics 40 (8):1102-1116.
    It is pointed out that relativistic classical electron theory with classical electromagnetic zero-point radiation has a scaling symmetry which is suitable for understanding the equilibrium behavior of classical thermal radiation at a spectrum other than the Rayleigh-Jeans spectrum. In relativistic classical electron theory, the masses of the particles are the only scale-giving parameters associated with mechanics while the action-angle variables are scale invariant. The theory thus separates the interaction of the action variables of matter and radiation from the scale-giving (...)
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  26.  25
    Till D. Frank, Julia J. C. Blau & Michael T. Turvey (2012). Symmetry Breaking Analysis of Prism Adaptation's Latent Aftereffect. Cognitive Science 36 (4):674-697.
    The effect of prism adaptation on movement is typically reduced when the movement at test (prisms off) differs on some dimension from the movement at training (prisms on). Some adaptation is latent, however, and only revealed through further testing in which the movement at training is fully reinstated. Applying a nonlinear attractor dynamic model (Frank, Blau, & Turvey, 2009) to available data (Blau, Stephen, Carello, & Turvey, 2009), we provide evidence for a causal link between the latent (or secondary) aftereffect (...)
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  27.  10
    S. Capozziello & M. De Laurentis (2010). A Review About Invariance Induced Gravity: Gravity and Spin From Local Conformal-Affine Symmetry. [REVIEW] Foundations of Physics 40 (7):867-899.
    In this review paper, we discuss how gravity and spin can be obtained as the realization of the local Conformal-Affine group of symmetry transformations. In particular, we show how gravitation is a gauge theory which can be obtained starting from some local invariance as the Poincaré local symmetry. We review previous results where the inhomogeneous connection coefficients, transforming under the Lorentz group, give rise to gravitational gauge potentials which can be used to define covariant derivatives accommodating minimal couplings (...)
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  28.  8
    Cheng-Shi Liu (2011). Trial Equation Method Based on Symmetry and Applications to Nonlinear Equations Arising in Mathematical Physics. Foundations of Physics 41 (5):793-804.
    To find exact traveling wave solutions to nonlinear evolution equations, we propose a method combining symmetry properties with trial polynomial solution to nonlinear ordinary differential equations. By the method, we obtain some exact traveling wave solutions to the Burgers-KdV equations and a kind of reaction-diffusion equations with high order nonlinear terms. As a result, we prove that the Burgers-KdV equation does not have the real solution in the form a 0+a 1tan ξ+a 2tan 2 ξ, which indicates that some (...)
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  29.  3
    Sean Gryb & Karim Thébaault (2014). Symmetry and Evolution in Quantum Gravity. Foundations of Physics 44 (3):305-348.
    We propose an operator constraint equation for the wavefunction of the Universe that admits genuine evolution. While the corresponding classical theory is equivalent to the canonical decomposition of General Relativity, the quantum theory contains an evolution equation distinct from standard Wheeler–DeWitt cosmology. Furthermore, the local symmetry principle—and corresponding observables—of the theory have a direct interpretation in terms of a conventional gauge theory, where the gauge symmetry group is that of spatial conformal diffeomorphisms (that preserve the spatial volume of (...)
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  30.  4
    B. G. Sidharth (2008). Different Routes to Lorentz Symmetry Violations. Foundations of Physics 38 (1):89-95.
    Recent observations of ultra high energy cosmic rays and gamma rays suggest that there are small violations of Lorentz symmetry. If there were no such violations, then the GZK cut off would hold and cosmic rays with energy ∼1020 eV or higher would not be reaching the earth. However some such events seem to have been observed. This has lead to phenomenological models in which there is a small violation of the Lorentz symmetry or the velocity of light. (...)
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  31.  96
    John Brunero (2012). Instrumental Rationality, Symmetry and Scope. Philosophical Studies 157 (1):125-140.
    Instrumental rationality prohibits one from being in the following state: intending to pass a test, not intending to study, and believing one must intend to study if one is to pass. One could escape from this incoherent state in three ways: by intending to study, by not intending to pass, or by giving up one’s instrumental belief. However, not all of these ways of proceeding seem equally rational: giving up one’s instrumental belief seems less rational than giving up an end, (...)
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  32.  28
    Benjamin C. Jantzen (2015). Projection, Symmetry, and Natural Kinds. Synthese 192 (11):3617-3646.
    Scientific practice involves two kinds of induction. In one, generalizations are drawn about the states of a particular system of variables. In the other, generalizations are drawn across systems in a class. We can discern two questions of correctness about both kinds of induction: what distinguishes those systems and classes of system that are ‘projectible’ in Goodman’s sense from those that are not, and what are the methods by which we are able to identify kinds that are likely to be (...)
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  33. Roger Vergauwen (2010). Will Science and Consciousness Ever Meat? Complexity, Symmetry and Qualia. Symmetry 2 (3):1250-1269.
    Within recent discussions in the Philosophy of Mind, the nature of conscious phenomenal states or qualia (also called ‘raw feels’ or the feel of ‘what it is like to be’) has been an important focus of interest. Proponents of Mind-Body Type-Identity theories have claimed that mental states can be reduced to neurophysiological states of the brain. Others have denied that such a reduction is possible; for them, there remains an explanatory gap. In this paper, functionalist, physicalist, epiphenomenalist, and biological models (...)
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  34.  11
    Francis Heylighen (2011). Symmetry, Potentiality and Reversibility. Foundations of Science 16 (4):335-336.
    This short comment confirms Longo’s observation about the importance of symmetries for understanding space and time, but raises the additional issue of the transition from reversible to irreversible transformations.
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  35. Sundar Sarukkai (2004). Philosophy of Symmetry. Indian Institute of Advanced Study.
     
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  36.  1
    N. Jack Kanak & Sharon D. Neuner (1970). Associative Symmetry and Item Availablity as a Function of Five Methods of Paired-Associate Acquisition. Journal of Experimental Psychology 86 (2):288.
  37.  17
    J. B. Paris & A. Vencovská (2012). Symmetry in Polyadic Inductive Logic. Journal of Logic, Language and Information 21 (2):189-216.
    A family of symmetries of polyadic inductive logic are described which in turn give rise to the purportedly rational Permutation Invariance Principle stating that a rational assignment of probabilities should respect these symmetries. An equivalent, and more practical, version of this principle is then derived.
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  38.  1
    Keith A. Wollen (1968). Effects of Maximizing Availability and Minimizing Rehearsal Upon Associative Symmetry in Two Modalities. Journal of Experimental Psychology 77 (4):626.
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  39.  4
    Andrea Busch & Sabine Zachgo (2009). Flower Symmetry Evolution: Towards Understanding the Abominable Mystery of Angiosperm Radiation. Bioessays 31 (11):1181-1190.
  40.  3
    G. A. Kelly (1935). Some Observations on the Relation of the Principle of Physiological Polarity and Symmetry and the Doctrine of Cerebral Dominance to the Perception of Symbols. Journal of Experimental Psychology 18 (2):202.
  41. Leonard M. Khalilov (2015). Symmetry, Inertness and Chirality in Theory of Chiral Systems. Foundations of Chemistry 17 (2):129-135.
    The measure of the chiral system inertia has been suggested as a reciprocal value of degree of chirality. Three main laws of conservation, evolution, and interaction of chiral systems in the inertial space are formulated. Some of the consequences concerning the interaction of the chiral elements could be used to estimate the degree of chirality of complex chiral systems.
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  42. Roger White (2009). Evidential Symmetry and Mushy Credence. In T. Szabo Gendler & J. Hawthorne (eds.), Oxford Studies in Epistemology. Oxford University Press 161-186.
    the symmetry of our evidential situation. If our confidence is best modeled by a standard probability function this means that we are to distribute our subjective probability or credence sharply and evenly over possibilities among which our evidence does not discriminate. Once thought to be the central principle of probabilistic reasoning by great..
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  43.  9
    Shan Jiang, Lei Zhu, Xiuyan Guo, Wendy Ma, Zhiliang Yang & Zoltan Dienes (2012). Unconscious Structural Knowledge of Tonal Symmetry: Tang Poetry Redefines Limits of Implicit Learning. Consciousness and Cognition 21 (1):476-486.
    The study aims to help characterize the sort of structures about which people can acquire unconscious knowledge. It is already well established that people can implicitly learn n-grams and also repetition patterns. We explore the acquisition of unconscious structural knowledge of symmetry. Chinese Tang poetry uses a specific sort of mirror symmetry, an inversion rule with respect to the tones of characters in successive lines of verse. We show, using artificial poetry to control both n-gram structure and repetition (...)
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  44. John Earman (2004). Laws, Symmetry, and Symmetry Breaking: Invariance, Conservation Principles, and Objectivity. Philosophy of Science 71 (5):1227--1241.
    Given its importance in modern physics, philosophers of science have paid surprisingly little attention to the subject of symmetries and invariances, and they have largely neglected the subtopic of symmetry breaking. I illustrate how the topic of laws and symmetries brings into fruitful interaction technical issues in physics and mathematics with both methodological issues in philosophy of science, such as the status of laws of physics, and metaphysical issues, such as the nature of objectivity.
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  45.  40
    Shamik Dasgupta (forthcoming). Symmetry as an Epistemic Notion. British Journal for the Philosophy of Science:axu049.
    Symmetries in physics are a guide to reality. That much is well known. But what is less well known is why symmetry is a guide to reality. What justifies inferences that draw conclusions about reality from premises about symmetries? I argue that answering this question reveals that symmetry is an epistemic notion twice over. First, these inferences must proceed via epistemic lemmas: premises about symmetries in the first instance justify epistemic lemmas about our powers of detection, and only (...)
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  46.  91
    John Earman (2004). Curie's Principle and Spontaneous Symmetry Breaking. International Studies in the Philosophy of Science 18 (2 & 3):173 – 198.
    In 1894 Pierre Curie announced what has come to be known as Curie's Principle: the asymmetry of effects must be found in their causes. In the same publication Curie discussed a key feature of what later came to be known as spontaneous symmetry breaking: the phenomena generally do not exhibit the symmetries of the laws that govern them. Philosophers have long been interested in the meaning and status of Curie's Principle. Only comparatively recently have they begun to delve into (...)
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  47. Joseph Diekemper (2005). Presentism and Ontological Symmetry. Australasian Journal of Philosophy 83 (2):223 – 240.
    In this paper, I argue that there is an inconsistency between two presentist doctrines: that of ontological symmetry and asymmetry of fixity. The former refers to the presentist belief that the past and future are equally unreal. The latter refers to the A-Theoretic intuition that the past is closed or actual, and the future is open or potential. My position in this paper is that the presentist is unable to account for the temporal asymmetry that is so fundamentally a (...)
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  48. David John Baker & Hans Halvorson (2013). How is Spontaneous Symmetry Breaking Possible? Understanding Wigner's Theorem in Light of Unitary Inequivalence. Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 44 (4):464-469.
    We pose and resolve a puzzle about spontaneous symmetry breaking in the quantum theory of infinite systems. For a symmetry to be spontaneously broken, it must not be implementable by a unitary operator in a ground state's GNS representation. But Wigner's theorem guarantees that any symmetry's action on states is given by a unitary operator. How can this unitary operator fail to implement the symmetry in the GNS representation? We show how it is possible for (...)
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  49. Otávio Bueno (2006). The Methodological Character of Symmetry Principles. Abstracta 3 (1):3-28.
    In this paper, I argue that symmetry principles in physics (in particular, in quantum mechanics) have a methodological character, rather than an ontological or an epistemological one. First, I provide a framework to address three related issues regarding the notion of symmetry: (i) how the notion can be characterized; (ii) one way of discussing the nature of symmetry principles, and (iii) a tentative account of some types of symmetry in physics. To illustrate how the framework functions, (...)
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  50. Aaron J. Cotnoir (2010). Anti-Symmetry and Non-Extensional Mereology. Philosophical Quarterly 60 (239):396-405.
    I examine the link between extensionality principles of classical mereology and the anti-symmetry of parthood. Varzi's most recent defence of extensionality depends crucially on assuming anti-symmetry. I examine the notions of proper parthood, weak supplementation and non-well-foundedness. By rejecting anti-symmetry, the anti-extensionalist has a unified, independently grounded response to Varzi's arguments. I give a formal construction of a non-extensional mereology in which anti-symmetry fails. If the notion of 'mereological equivalence' is made explicit, this non-anti-symmetric mereology recaptures (...)
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