Results for 'isomorphic mechanisms'

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  1. Classical Mechanics Is Lagrangian; It Is Not Hamiltonian.Erik Curiel - 2014 - British Journal for the Philosophy of Science 65 (2):269-321.
    One can (for the most part) formulate a model of a classical system in either the Lagrangian or the Hamiltonian framework. Though it is often thought that those two formulations are equivalent in all important ways, this is not true: the underlying geometrical structures one uses to formulate each theory are not isomorphic. This raises the question of whether one of the two is a more natural framework for the representation of classical systems. In the event, the answer is (...)
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  2. Theoretical equivalence in classical mechanics and its relationship to duality.Nicholas J. Teh & Dimitris Tsementzis - 2017 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 59:44-54.
    As a prolegomenon to understanding the sense in which dualities are theoretical equivalences, we investigate the intuitive `equivalence' of hyper-regular Lagrangian and Hamiltonian classical mechanics. We show that the symplectification of these theories provides a sense in which they are isomorphic, and mutually and canonically definable through an analog of `common definitional extension'.
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  3. Classical mechanics is lagrangian; it is not hamiltonian; the semantics of physical theory is not semantical.Erik Curiel - unknown
    One can (for the most part) formulate a model of a classical system in either the Lagrangian or the Hamiltonian framework. Though it is often thought that those two formulations are equivalent in all important ways, this is not true: the underlying geometrical structures one uses to formulate each theory are not isomorphic. This raises the question whether one of the two is a more natural framework for the representation of classical systems. In the event, the answer is yes: (...)
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  4. The case of quantum mechanics mathematizing reality: the “superposition” of mathematically modelled and mathematical reality: Is there any room for gravity?Vasil Penchev - 2020 - Cosmology and Large-Scale Structure eJournal (Elsevier: SSRN) 2 (24):1-15.
    A case study of quantum mechanics is investigated in the framework of the philosophical opposition “mathematical model – reality”. All classical science obeys the postulate about the fundamental difference of model and reality, and thus distinguishing epistemology from ontology fundamentally. The theorems about the absence of hidden variables in quantum mechanics imply for it to be “complete” (versus Einstein’s opinion). That consistent completeness (unlike arithmetic to set theory in the foundations of mathematics in Gödel’s opinion) can be interpreted furthermore as (...)
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  5. Essays on the Metaphysics of Quantum Mechanics.Eddy Keming Chen - 2019 - Dissertation, Rutgers University, New Brunswick
    What is the proper metaphysics of quantum mechanics? In this dissertation, I approach the question from three different but related angles. First, I suggest that the quantum state can be understood intrinsically as relations holding among regions in ordinary space-time, from which we can recover the wave function uniquely up to an equivalence class (by representation and uniqueness theorems). The intrinsic account eliminates certain conventional elements (e.g. overall phase) in the representation of the quantum state. It also dispenses with first-order (...)
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  6. Quantum-information conservation. The problem about “hidden variables”, or the “conservation of energy conservation” in quantum mechanics: A historical lesson for future discoveries.Vasil Penchev - 2020 - Energy Engineering (Energy) eJournal (Elsevier: SSRN) 3 (78):1-27.
    The explicit history of the “hidden variables” problem is well-known and established. The main events of its chronology are traced. An implicit context of that history is suggested. It links the problem with the “conservation of energy conservation” in quantum mechanics. Bohr, Kramers, and Slaters (1924) admitted its violation being due to the “fourth Heisenberg uncertainty”, that of energy in relation to time. Wolfgang Pauli rejected the conjecture and even forecast the existence of a new and unknown then elementary particle, (...)
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  7.  76
    Nine theorems on the unification of quantum mechanics and relativity.Alexey Kryukov - unknown
    A mathematical framework that unifies the standard formalisms of special relativity and quantum mechanics is proposed. For this a Hilbert space H of functions of four variables x,t furnished with an additional indefinite inner product invariant under Poincare transformations is introduced. For a class of functions in H that are well localized in the time variable the usual formalism of non-relativistic quantum mechanics is derived. In particular, the interference in time for these functions is suppressed; a motion in H becomes (...)
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  8. What Is Quantum Information? Information Symmetry and Mechanical Motion.Vasil Penchev - 2020 - Information Theory and Research eJournal (Elsevier: SSRN) 1 (20):1-7.
    The concept of quantum information is introduced as both normed superposition of two orthogonal sub-spaces of the separable complex Hilbert space and in-variance of Hamilton and Lagrange representation of any mechanical system. The base is the isomorphism of the standard introduction and the representation of a qubit to a 3D unit ball, in which two points are chosen. The separable complex Hilbert space is considered as the free variable of quantum information and any point in it (a wave function describing (...)
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  9.  34
    A constructive approach to the foundations of quantum mechanics.Hans Kummer - 1987 - Foundations of Physics 17 (1):1-62.
    An axiomatic theory is formulated which describes a class of “yes-no” experiments, involving a fixed basic source, a fixed basic detector, and various filters. It is assumed that all filters considered can be constructed from a setP of primitive filters by composition and stochastic selection. Two physically plausible axioms are formulated which allow us to define the concept of asystem in the present context (cf. Definition2.4). To each system we can attach anorder unit module ( $^\circ \hat V, ^\circ \hat (...)
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  10.  74
    The Institutionalization of Corporate Social Responsibility Reporting.Archie B. Carroll, Ann K. Buchholtz & Kareem M. Shabana - 2017 - Business and Society 56 (8):1107-1135.
    This article presents a three-stage model of how isomorphic mechanisms have shaped corporate social responsibility reporting practices over time. In the first stage, defensive reporting, companies fail to meet stakeholder expectations due to a deficiency in firm performance. In this stage, the decision to report is driven by coercive isomorphism as firms sense pressure to close the expectational gap. In the second stage, proactive reporting, knowledge of CSR reporting spreads and the practice of CSR reporting becomes normatively sanctioned. (...)
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  11. Main Concepts in Philosophy of Quantum Information.Vasil Penchev - 2020 - Philosophy of Science eJournal (Elsevier: SSRN) 13 (31):1-4.
    Quantum mechanics involves a generalized form of information, that of quantum information. It is the transfinite generalization of information and re-presentable by transfinite ordinals. The physical world being in the current of time shares the quality of “choice”. Thus quantum information can be seen as the universal substance of the world serving to describe uniformly future, past, and thus the present as the frontier of time. Future is represented as a coherent whole, present as a choice among infinitely many alternatives, (...)
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  12.  22
    Investigating the role of the state in regulating corporate social responsibility: Evidence from the Gulf Cooperation Council countries.Osman Ahmed El-Said, Heba Aziz, Maryam Mirzaei & Michael Smith - 2023 - Business and Society Review 128 (3):459-487.
    The purpose of this research is to provide an overview of state governance for corporate social responsibility (CSR) in the countries of the Gulf Cooperation Council (GCC). A systemic literature review method is employed to collect 88 relevant publications, and a qualitative coding method is used to identify 98 governance instruments from those publications. These are grouped into 13 themes and then examined within three conceptual models. The findings reveal that most of the instruments are geared towards ethical expectations, internal (...)
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  13. Logic, mathematics, physics: from a loose thread to the close link: Or what gravity is for both logic and mathematics rather than only for physics.Vasil Penchev - 2023 - Astrophysics, Cosmology and Gravitation Ejournal 2 (52):1-82.
    Gravitation is interpreted to be an “ontomathematical” force or interaction rather than an only physical one. That approach restores Newton’s original design of universal gravitation in the framework of “The Mathematical Principles of Natural Philosophy”, which allows for Einstein’s special and general relativity to be also reinterpreted ontomathematically. The entanglement theory of quantum gravitation is inherently involved also ontomathematically by virtue of the consideration of the qubit Hilbert space after entanglement as the Fourier counterpart of pseudo-Riemannian space. Gravitation can be (...)
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  14. A Formal Model of Metaphor in Frame Semantics.Vasil Penchev - 2015 - In Proceedings of the 41st Annual Convention of the Society for the Study of Artificial Intelligence and the Simulation of Behaviour. New York: Curran Associates, Inc.. pp. 187-194.
    A formal model of metaphor is introduced. It models metaphor, first, as an interaction of “frames” according to the frame semantics, and then, as a wave function in Hilbert space. The practical way for a probability distribution and a corresponding wave function to be assigned to a given metaphor in a given language is considered. A series of formal definitions is deduced from this for: “representation”, “reality”, “language”, “ontology”, etc. All are based on Hilbert space. A few statements about a (...)
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  15.  22
    Organisational Change and the Institutionalisation of University Patenting Activity in Italy.Nicola Baldini, Riccardo Fini, Rosa Grimaldi & Maurizio Sobrero - 2014 - Minerva 52 (1):27-53.
    As universities are increasingly called by their national governments for a more entrepreneurial management of public research results, they started to develop internal structures and policies to take a proactive role in the commercialisation of university research. For the first time, this paper presents a detailed chronicle of how country-level reforms on Intellectual Property Rights were translated into organisation-level mechanisms to regulate university-patenting activity. The analysis is based on the complete list of patent policies issued between 1993 and 2009 (...)
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  16.  64
    On Representational Capacities, with an Application to General Relativity.Samuel C. Fletcher - 2020 - Foundations of Physics 50 (4):228-249.
    Recent work on the hole argument in general relativity by Weatherall has drawn attention to the neglected concept of models’ representational capacities. I argue for several theses about the structure of these capacities, including that they should be understood not as many-to-one relations from models to the world, but in general as many-to-many relations constrained by the models’ isomorphisms. I then compare these ideas with a recent argument by Belot for the claim that some isometries “generate new possibilities” in general (...)
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  17.  73
    Just the Imagination: Why Imagining Doesn’t Behave Like Believing.Nichols Shaun - 2006 - Mind and Language 21 (4):459-474.
    According to recent accounts of the imagination, mental mechanisms that can take input from both imagining and from believing will process imagination‐based inputs (pretense representations) and isomorphic beliefs in much the same way. That is, such a mechanism should produce similar outputs whether its input is the belief that p or the pretense representation that p. Unfortunately, there seem to be clear counterexamples to this hypothesis, for in many cases, imagining that p and believing that p have quite (...)
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  18.  14
    Quaternion Algebra on 4D Superfluid Quantum Space-Time: Gravitomagnetism.Valeriy I. Sbitnev - 2019 - Foundations of Physics 49 (2):107-143.
    Gravitomagnetic equations result from applying quaternionic differential operators to the energy–momentum tensor. These equations are similar to the Maxwell’s EM equations. Both sets of the equations are isomorphic after changing orientation of either the gravitomagnetic orbital force or the magnetic induction. The gravitomagnetic equations turn out to be parent equations generating the following set of equations: the vorticity equation giving solutions of vortices with nonzero vortex cores and with infinite lifetime; the Hamilton–Jacobi equation loaded by the quantum potential. This (...)
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  19. Symmetries and Paraparticles as a Motivation for Structuralism.Adam Caulton & Jeremy Butterfield - 2012 - 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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  20. Toward a general theory of representations.Aaron Sloman - 1994 - In Donald Peterson (ed.), Forms of representation: an interdisciplinary theme for Cognitive Science. Intellect Books. pp. 118-140.
    This position paper presents the beginnings of a general theory of representations starting from the notion that an intelligent agent is essentially a control system with multiple control states, many of which contain information (both factual and non-factual), albeit not necessarily in a propositional form. The paper attempts to give a general characterisation of the notion of the syntax of an information store, in terms of types of variation the relevant mechanisms can cope with. Similarly concepts of semantics pragmatics (...)
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  21.  76
    Survey of general quantum physics.C. Piron - 1972 - Foundations of Physics 2 (4):287-314.
    The abstract description of a physical system is developed, along lines originally suggested by Birkhoff and von Neumann, in terms of the complete lattice of propositions associated with that system, and the distinction between classical and quantum systems is made precise. With the help of the notion of state, a propositional system is defined: it is remarked that every irreducible propositional system (of more than three dimensions) is isomorphic to the lattice of all closed subspaces of a Hilbert space (...)
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  22.  8
    A New Organization of Quantum Theory Based on Quantum Probability.Stephen Bruce Sontz - 2023 - Foundations of Physics 53 (3):1-35.
    Quantum probability is used to provide a new organization of basic quantum theory in a logical, axiomatic way. The principal thesis is that there is one fundamental time evolution equation in quantum theory, and this is given by a new version of Born’s Rule, which now includes both consecutive and conditional probability as it must, since science is based on correlations. A major modification of one of the standard axioms of quantum theory allows the implementation of various mathematically distinct models (...)
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  23.  66
    Institutional Isomorphism Revisited: Convergence and Divergence in Institutional Change.Jens Beckert - 2010 - Sociological Theory 28 (2):150 - 166.
    Under the influence of groundbreaking work by John Meyer and Brian Rowen, as well as Paul DiMaggio and Walter Powell, over the last 30 years research in the new sociological institutionalism has focused on processes of isomorphism. I argue that this is a one-sided focus that leaves out many insights from other institutional and macrosociological approaches and does not do justice to actual social change because it overlooks the role played by divergent institutional development. While the suggestion of divergent trends (...)
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  24.  15
    Univalence and Ontic Structuralism.Lu Chen - 2024 - Foundations of Physics 54 (3):1-27.
    The persistent challenge of formulating ontic structuralism in a rigorous manner, which prioritizes structures over the entities they contain, calls for a transformation of traditional logical frameworks. I argue that Univalent Foundations (UF), which feature the axiom that all isomorphic structures are identical, offer such a foundation and are more attractive than other proposed structuralist frameworks. Furthermore, I delve into the significance in the case of the hole argument and, very briefly, the nature of symmetries.
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  25. Color may be the phenomenal dual aspect of two-state quantum systems in a mixed state.Tal Hendel - manuscript
    Panmicropsychism is the view that the fundamental physical ingredients of our universe are also its fundamental phenomenal ingredients. Since there is only a limited number of fundamental physical ingredients, panmicropsychism seems to imply that there exists only a small set (palette) of basic phenomenal qualities. How does this limited palette of basic phenomenal qualities give rise to our rich set of experiences? This is known as ‘the palette problem’. One class of solutions to this problem, large-palette solutions, simply denies that (...)
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  26.  28
    Scalar products of spinors and an extension of Brauer-Wall groups.Pertti Lounesto - 1981 - Foundations of Physics 11 (9-10):721-740.
    The automorphism groups of scalar products of spinors are determined. Spinors are considered as elements of minimal left ideals of Clifford algebras on quadratic modules, e.g., on orthogonal spaces. Orthogonal spaces of any dimension and arbitrary signature are discussed. For example, the automorphism groups of scalar products of Pauli spinors and Dirac spinors are, respectively, isomorphic to the matrix groups U(2) and U(2, 2). It is found that there are, in general, 32 different types or similarity classes of such (...)
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  27.  30
    Collapse and Measures of Consciousness.Adrian Kent - 2021 - Foundations of Physics 51 (3):1-14.
    There has been an upsurge of interest lately in developing Wigner’s hypothesis that conscious observation causes collapse by exploring dynamical collapse models in which some purportedly quantifiable aspect of consciousness resist superposition. Kremnizer–Ranchin, Chalmers–McQueen and Okon–Sebastián have explored the idea that collapse may be associated with a numerical measure of consciousness. More recently, Chalmers–McQueen have argued that any single measure is inadequate because it will allow superpositions of distinct states of equal consciousness measure to persist. They suggest a satisfactory model (...)
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  28.  36
    Algebraic field descriptions in three-dimensional Euclidean space.Nikos Salingaros & Yehiel Ilamed - 1984 - Foundations of Physics 14 (8):777-797.
    In this paper, we use the differential forms of three-dimensional Euclidean space to realize a Clifford algebra which is isomorphic to the algebra of the Pauli matrices or the complex quaternions. This is an associative vector-antisymmetric tensor algebra with division: We provide the algebraic inverse of an eight-component spinor field which is the sum of a scalar + vector + pseudovector + pseudoscalar. A surface of singularities is defined naturally by the inverse of an eight-component spinor and corresponds to (...)
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  29. Imagining and believing: The promise of a single code.Shaun Nichols - 2004 - Journal of Aesthetics and Art Criticism 62 (2):129-39.
    Recent cognitive accounts of the imagination propose that imagining and believing are in the same “code”. According to the single code hypothesis, cognitive mechanisms that can take input from both imagining and from believing will process imagination-based inputs (“pretense representations”) and isomorphic beliefs in much the same way. In this paper, I argue that the single code hypothesis provides a unified and independently motivated explanation for a wide range of puzzles surrounding fiction.
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  30.  51
    The Birth of quantum logic.Miklós Rédei - 2007 - History and Philosophy of Logic 28 (2):107-122.
    By quoting extensively from unpublished letters written by John von Neumann to Garret Birkhoff during the preparatory phase (in 1935) of their ground-breaking 1936 paper that established quantum logic, the main steps in the thought process leading to the 1936 Birkhoff–von Neumann paper are reconstructed. The reconstruction makes it clear why Birkhoff and von Neumann rejected the notion of quantum logic as the projection lattice of an infinite dimensional complex Hilbert space and why they postulated in their 1936 paper that (...)
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  31. Cognitive Style and Frame Susceptibility in Decision-Making.David R. Mandel & Irina V. Kapler - 2018 - Frontiers in Psychology 9:375475.
    The susceptibility of decision-makers’ choices to variations in option framing has been attributed to individual differences in cognitive style. According to this view, individuals who are prone to a more deliberate, or less intuitive, thinking style are less susceptible to framing manipulations. Research findings on the topic, however, have tended to yield small effects, with several studies also being limited in inferential value by methodological drawbacks. We report two experiments that examined the value of several cognitive-style variables, including measures of (...)
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  32.  9
    Theory Identity.Frederick Suppe - 2000 - In W. Newton-Smith (ed.), A companion to the philosophy of science. Malden, Mass.: Blackwell. pp. 525-527.
    In 1925 the old quantum mechanics of Planck, Einstein, and Bohr was replaced by the new (matrix) quantum mechanics of Born, Heisenberg, Jordan, and Dirac. In 1926 Schrödinger developed wave mechanics, which proved to be equivalent to matrix mechanics in the sense that they led to the same energy levels. Dirac and Jordan joined the two theories into one transformation quantum theory. In 1932 von Neumann presented his Hilbert space formulation of quantum mechanics and proved a representation theorem showing that (...)
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  33.  5
    The Norms of Cognitive Development.Philip Gerrans - 1998 - Mind and Language 13 (1):56-75.
    Once the notion of a precursive relationship between developmental stages is fully articulated in terms of the distinction between ‘role’ and ‘realiser’ states, it turns out that the ‘Theory of Mind’ literature operates with a notion of precursive relationships described at too high a level of abstraction to explain actual mechanisms of development. Furthermore, the tendency within that literature to explain precursive relationships in terms of role states with isomorphic linguistic/computational structures is misleading. Developmental relationships are more likely (...)
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  34.  15
    Amplification of Belinfante's argument for the nonexistence of dispersion-free states.Elida de Obaldia, Abner Shimony & Frederick Wittel - 1988 - Foundations of Physics 18 (10):1013-1021.
    A corollary of Gleason's theorem asserts that if the lattice of propositions of a physical system is isomorphic to the lattice of subspaces of a Hilbert space of dimension greater than two, then there is no probability measure that assigns only the values 1 and 0 (truth and falsity, respectively) to each of the propositions. Belinfante outlined an elegant geometrical proof of this corollary but relied upon an unrigorous measure-theoretical statement. An amplified geometrical proof is given along Belinfante's lines, (...)
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  35. Natural Cybernetics and Mathematical History: The Principle of Least Choice in History.Vasil Penchev - 2020 - Cultural Anthropology (Elsevier: SSRN) 5 (23):1-44.
    The paper follows the track of a previous paper “Natural cybernetics of time” in relation to history in a research of the ways to be mathematized regardless of being a descriptive humanitarian science withal investigating unique events and thus rejecting any repeatability. The pathway of classical experimental science to be mathematized gradually and smoothly by more and more relevant mathematical models seems to be inapplicable. Anyway quantum mechanics suggests another pathway for mathematization; considering the historical reality as dual or “complimentary” (...)
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  36.  51
    Ensemble Steering, Weak Self-Duality, and the Structure of Probabilistic Theories.Howard Barnum, Carl Philipp Gaebler & Alexander Wilce - 2013 - Foundations of Physics 43 (12):1411-1427.
    In any probabilistic theory, we say that a bipartite state ω on a composite system AB steers its marginal state ω B if, for any decomposition of ω B as a mixture ω B =∑ i p i β i of states β i on B, there exists an observable {a i } on A such that the conditional states $\omega_{B|a_{i}}$ are exactly the states β i . This is always so for pure bipartite states in quantum mechanics, a fact (...)
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  37. What the Tortoise Said to Achilles: Lewis Carroll’s paradox in terms of Hilbert arithmetic.Vasil Penchev - 2021 - Logic and Philosophy of Mathematics eJournal (Elsevier: SSRN) 13 (22):1-32.
    Lewis Carroll, both logician and writer, suggested a logical paradox containing furthermore two connotations (connotations or metaphors are inherent in literature rather than in mathematics or logics). The paradox itself refers to implication demonstrating that an intermediate implication can be always inserted in an implication therefore postponing its ultimate conclusion for the next step and those insertions can be iteratively and indefinitely added ad lib, as if ad infinitum. Both connotations clear up links due to the shared formal structure with (...)
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  38.  47
    Conceptual coordination bridges information processing and neurophysiology.William J. Clancey - 2000 - Behavioral and Brain Sciences 23 (6):919-922.
    Information processing theories of memory and skills can be reformulated in terms of how categories are physically and temporally related, a process called conceptual coordination. Dreaming can then be understood as a story-understanding process in which two mechanisms found in everyday comprehension are missing: conceiving sequences (chunking categories in time as a higher-order categorization) and coordinating across modalities (e.g., relating the sound of a word and the image of its meaning). On this basis, we can readily identify isomorphisms between (...)
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  39.  67
    New Problematic Aspects of Current String Theories and Their Invariant Resolution.Ruggero Maria Santilli - 2002 - Foundations of Physics 32 (7):1111-1140.
    We identify new, rather serious, physical and mathematical inconsistencies of the current formulation of noncanonical or nonunitary string theories due to the lack of invariant units necessary for consistent measurements, lack of preservation in time of Hermiticity-observability, and other shortcomings. We propose three novel reformulations of string theories for matter of progressively increasing complexity via the novel iso-, geno-, and hyper-mathematics of hadronic mechanics, which resolve the current inconsistencies, while offering new intriguing possibilities, such as: an axiomatically consistent and invariant (...)
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  40.  88
    Chalmers' principle of organizational invariance makes consciousness fundamental but meaningless spectator of its own drama.Danko Georgiev - 2019 - Activitas Nervosa Superior 61 (4):159-164.
    The principles of classical physics, including deterministic dynamics and observability of physical states, are incompatible with the existence of unobservable conscious minds that possess free will. Attempts to directly accommodate consciousness in a classical world lead to philosophical paradoxes such as causally ineffective consciousness and possibility of alternate worlds in which functional brain isomorphs behave identically but lack conscious experiences. Here, we show that because Chalmers’ principle of organizational invariance is based on a deficient nineteenth century classical physics, it is (...)
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  41.  65
    Direct product and decomposition of certain physically important algebras.Robert W. Johnson - 1996 - Foundations of Physics 26 (2):197-222.
    I consider the direct product algebra formed from two isomorphic Clifford algebras. More specifically, for an element x in each of the two component algebras I consider elements in the direct product space with the form x ⊗ x. I show how this construction can be used to model the algebraic structure of particular vector spaces with metric, to describe the relationship between wavefunction and observable in examples from quantum mechanics, and to express the relationship between the electromagnetic field (...)
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  42.  43
    Quantum stochastic models.Stanley Gudder - 1992 - Foundations of Physics 22 (6):839-852.
    Quantum stochastic models are developed within the framework of a measure entity. An entity is a structure that describes the tests and states of a physical system. A measure entity endows each test with a measure and equips certain sets of states as measurable spaces. A stochastic model consists of measurable realvalued function on the set of states, called a generalized action, together with measures on the measurable state spaces. This structure is then employed to compute quantum probabilities of test (...)
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  43.  38
    Multiple Modernities and Globalization.Gerard Delanty - 2004 - ProtoSociology 20:165-185.
    What is often called “multiple” modernities is best seen as referring to the different expressions of an increasingly emergent global modernity rather than simply to multiple societal forms. Modernity is not converging into a unitary, homogenous form; rather it denotes an isomorphic condition of common aspirations, learning mechanisms, visions of the world, modes of communication. As such modernity can arise anywhere in the world; it is not a specific tradition or societal form but a mode of processing, or (...)
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  44. Seeking the Everyday Meaning of Autonomy in Neurologic Disorders.George J. Agich - 2004 - Philosophy, Psychiatry, and Psychology 11 (4):295-298.
    In lieu of an abstract, here is a brief excerpt of the content:Seeking the Everyday Meaning of Autonomy in Neurologic DisordersGeorge J. Agich (bio)The Socratic aphorism that the unexamined life is not worth living and dictums like "Know thyself" remind us of the centrality of self-understanding in the history of philosophical reflections on autonomy. These traditional concerns with autonomy may seem far removed from the neurologic impairments to which Joel Anderson and Warren Lux draw our attention. Nonetheless, Anderson and Lux (...)
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  45.  42
    The Intrinsic Quantum Nature of Nash Equilibrium Mixtures.Yohan Pelosse - 2016 - Journal of Philosophical Logic 45 (1):25-64.
    In classical game theory the idea that players randomize between their actions according to a particular optimal probability distribution has always been viewed as puzzling. In this paper, we establish a fundamental connection between n-person normal form games and quantum mechanics, which eliminates the conceptual problems of these random strategies. While the two theories have been regarded as distinct, our main theorem proves that if we do not give any other piece of information to a player in a game, than (...)
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  46.  20
    A Numbers-Based Approach to a Free Particle’s Proper Spacetime.R. Ferber - 2021 - Foundations of Physics 51 (5):1-21.
    This paper contains a proposal for a free, nonzero-rest-mass particle’s proper spacetime, determined exclusively by the particle’s rest mass \ and numbers. The approach defines proper time as de Broglie time, which is isomorphic to a sequence of natural numbers \ that count de Broglie time units \\). The approach is based on defining the spatial coordinate as proper following the constructive definition of positive and negative integers as all possible differences of ordered pairs of natural numbers multiplied by (...)
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  47.  5
    MOCing Framework for Local Reduction.Tom Seppalainen - 2017 - In Marcus P. Adams, Zvi Biener, Uljana Feest & Jacqueline Anne Sullivan (eds.), Eppur Si Muove: Doing History and Philosophy of Science with Peter Machamer: A Collection of Essays in Honor of Peter Machamer. Dordrecht: Springer.
    In sensory neuroscience, the neural and perceptual levels of investigation are commonly related through a reductive research strategy based in psycho-neural isomorphisms. Davida Teller’s “linking propositions” are a particularly vivid illustration of this epistemology in the context of vision science. For Teller, linking propositions guide the core epistemological practices of vision science by expressing the criteria for acceptable explanations of perceptual phenomena by neural processes and by articulating heuristics for discovering neural properties on grounds of perceptual ones, and vice versa. (...)
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  48.  27
    Reducing problem complexity by analogical transfer.Peter F. Dominey - 1997 - Behavioral and Brain Sciences 20 (1):71-72.
    Analogical transfer in sequence learning is presented as an example of how the type-2 problem of learning an unbounded number of isomorphic sequences is reduced to the type-1 problem of learning a small finite set of sequences. The commentary illustrates how the difficult problem of appropriate analogical filter creation and selection is addressed while avoiding the trap of strong nativism, and it provides theoretical and experimental evidence for the existence of dissociable mechanisms for type-1 learning and type-2 recoding.
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  49.  57
    The norms of cognitive development.Philip Gerrans - 1998 - Mind and Language 13 (1):56-75.
    Once the notion of a precursive relationship between developmental stages is fully articulated in terms of the distinction between ‘role’ and ‘realiser’ states, it turns out that the ‘Theory of Mind’ literature operates with a notion of precursive relationships described at too high a level of abstraction to explain actual mechanisms of development. Furthermore, the tendency within that literature to explain precursive relationships in terms of role states with isomorphic linguistic/computational structures is misleading. Developmental relationships are more likely (...)
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  50. Isomorphism between the Peres and Penrose Proofs of the BKS Theorem in Three Dimensions.Elizabeth Gould & P. K. Aravind - 2010 - Foundations of Physics 40 (8):1096-1101.
    It is shown that the 33 complex rays in three dimensions used by Penrose to prove the Bell-Kochen-Specker theorem have the same orthogonality relations as the 33 real rays of Peres, and therefore provide an isomorphic proof of the theorem. It is further shown that the Peres and Penrose rays are just two members of a continuous three-parameter family of unitarily inequivalent rays that prove the theorem.
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