Results for 'Cross entropy '

979 found
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  1. IN-cross Entropy Based MAGDM Strategy under Interval Neutrosophic Set Environment.Shyamal Dalapati, Surapati Pramanik, Shariful Alam, Florentin Smarandache & Tapan Kumar Roy - 2017 - Neutrosophic Sets and Systems 18:43-57.
    Cross entropy measure is one of the best way to calculate the divergence of any variable from the priori one variable. We define a new cross entropy measure under interval neutrosophic set environment.
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  2.  11
    Characterizing the principle of minimum cross-entropy within a conditional-logical framework.Gabriele Kern-Isberner - 1998 - Artificial Intelligence 98 (1-2):169-208.
  3. Entropy and uncertainty.Teddy Seidenfeld - 1986 - Philosophy of Science 53 (4):467-491.
    This essay is, primarily, a discussion of four results about the principle of maximizing entropy (MAXENT) and its connections with Bayesian theory. Result 1 provides a restricted equivalence between the two: where the Bayesian model for MAXENT inference uses an "a priori" probability that is uniform, and where all MAXENT constraints are limited to 0-1 expectations for simple indicator-variables. The other three results report on an inability to extend the equivalence beyond these specialized constraints. Result 2 established a sensitivity (...)
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  4. Black-Hole Entropy as Causal Links.Djamel Dou & Rafael D. Sorkin - 2003 - Foundations of Physics 33 (2):279-296.
    We model a black hole spacetime as a causal set and count, with a certain definition, the number of causal links crossing the horizon in proximity to a spacelike or null hypersurface Σ. We find that this number is proportional to the horizon's area on Σ, thus supporting the interpretation of the links as the “horizon atoms” that account for its entropy. The cases studied include not only equilibrium black holes but ones far from equilibrium.
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  5.  8
    Generalized Exponential Fuzzy Entropy Approach for Automatic Segmentation of Chest CT with COVID-19 Infection.Saud S. Alotaibi & Ahmed Elaraby - 2022 - Complexity 2022:1-13.
    The proposed work describes an approach for the segmentation of abnormal lung CT scans of COVID-19. Lung diseases are the leading killer in both men and women. The pulmonary experts normally make attempts, such as early detection of patients by tomography tests before lung specialists treat patients who are tortured by lung disease. Moreover, lung specialists do their best to detect the presence of lung conditions. X rays or CT scan checks are performed for tomography tests. The finest approach for (...)
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  6.  41
    (1 other version)Interrogating Feature Learning Models to Discover Insights Into the Development of Human Expertise in a Real‐Time, Dynamic Decision‐Making Task.Catherine Sibert, Wayne D. Gray & John K. Lindstedt - 2016 - Topics in Cognitive Science 8 (4).
    Tetris provides a difficult, dynamic task environment within which some people are novices and others, after years of work and practice, become extreme experts. Here we study two core skills; namely, choosing the goal or objective function that will maximize performance and a feature-based analysis of the current game board to determine where to place the currently falling zoid so as to maximize the goal. In Study 1, we build cross-entropy reinforcement learning models to determine whether different goals (...)
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  7. Black hole versus cosmological horizon entropy.Tamara M. Davis & P. C. W. Davies - unknown
    The generalized second law of thermodynamics states that entropy always increases when all event horizons are attributed with an entropy proportional to their area. We test the generalized second law by investigating the change in entropy when dust, radiation and black holes cross a cosmological event horizon. We generalize for flat, open and closed Friedmann–Robertson–Walker universes by using numerical calculations to determine the cosmological horizon evolution. In most cases, the loss of entropy from within the (...)
     
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  8.  29
    Novel Remarks on Point Mass Sources, Firewalls, Null Singularities and Gravitational Entropy.Carlos Castro Perelman - 2016 - Foundations of Physics 46 (1):14-27.
    A continuous family of static spherically symmetric solutions of Einstein’s vacuum field equations with a spatial singularity at the origin \ is found. These solutions are parametrized by a real valued parameter \ and such that the radial horizon’s location is displaced continuously towards the singularity ) as \ increases. In the extreme limit \, the location of the singularity and horizon merges leading to a null singularity. In this extreme case, any infalling observer hits the null singularity at the (...)
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  9. Bondi-Metzner-Sachs Symmetry, Holography on Null-surfaces and Area Proportionality of “Light-slice” Entropy.Bert Schroer - 2011 - 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 (...)
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  10.  31
    Rhythms of the Collective Brain: Metastable Synchronization and Cross-Scale Interactions in Connected Multitudes.Miguel Aguilera - 2018 - Complexity 2018:1-9.
    Crowd behaviour challenges our fundamental understanding of social phenomena. Involving complex interactions between multiple temporal and spatial scales of activity, its governing mechanisms defy conventional analysis. Using 1.5 million Twitter messages from the 15M movement in Spain as an example of multitudinous self-organization, we describe the coordination dynamics of the system measuring phase-locking statistics at different frequencies using wavelet transforms, identifying 8 frequency bands of entrained oscillations between 15 geographical nodes. Then we apply maximum entropy inference methods to describe (...)
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  11.  24
    DefogNet: A Single-Image Dehazing Algorithm with Cyclic Structure and Cross-Layer Connections.Suting Chen, Wenhao Fan, Shaw Peter, Chuang Zhang, Kui Chen & Yong Huang - 2021 - Complexity 2021:1-13.
    Inspired by the application of CycleGAN networks to the image style conversion problem Zhu et al., this paper proposes an end-to-end network, DefogNet, for solving the single-image dehazing problem, treating the image dehazing problem as a style conversion problem from a fogged image to a nonfogged image, without the need to estimate a priori information from an atmospheric scattering model. DefogNet improves on CycleGAN by adding a cross-layer connection structure in the generator to enhance the network’s multiscale feature extraction (...)
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  12.  15
    Decreased Postural Complexity in Overweight to Obese Children and Adolescents: A Cross-Sectional Study.Hans-Peter Wiesinger, Michael Buchecker, Erich Müller, Thomas Stöggl & Jürgen Birklbauer - 2022 - Frontiers in Human Neuroscience 16.
    IntroductionAlthough a few studies suggest that young overweight to obese children and adolescents may have impaired postural control compared to young normal-weight peers, little information exists about how these two groups differ in the quality of the underlying balance strategies employed. Hence, the aim of the present study was a first comprehensive examination of the structural complexity of postural sways in these two cohorts during quiet bilateral standing.MethodsNineteen YO secondary school students were carefully matched to YN controls for age, sex, (...)
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  13.  33
    The Interactions of Rational, Pragmatic Agents Lead to Efficient Language Structure and Use.Benjamin N. Peloquin, Noah D. Goodman & Michael C. Frank - 2020 - Topics in Cognitive Science 12 (1):433-445.
    Despite their diversity, human languages share consistent properties and regularities. Wherefrom does this consistency arise? And does it tell us something about the problem that all languages need to solve? The authors provide an intriguing analyses which focuses on the “communicative function of ambiguity” whose resolution entailed an equally intriguing “speaker–listener crossentropy objective for measuring the efficiency of linguistic systems from first principles of efficient language use.”.
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  14.  63
    River Segmentation of Remote Sensing Images Based on Composite Attention Network.Zhiyong Fan, Jianmin Hou, Qiang Zang, Yunjie Chen & Fei Yan - 2022 - Complexity 2022:1-13.
    River segmentation of remote sensing images is of important research significance and application value for environmental monitoring, disaster warning, and agricultural planning in an area. In this study, we propose a river segmentation model in remote sensing images based on composite attention network to solve the problems of abundant river details in images and the interference of non-river information including bridges, shadows, and roads. To improve the segmentation efficiency, a composite attention mechanism is firstly introduced in the central region of (...)
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  15. A Logic For Inductive Probabilistic Reasoning.Manfred Jaeger - 2005 - Synthese 144 (2):181-248.
    Inductive probabilistic reasoning is understood as the application of inference patterns that use statistical background information to assign (subjective) probabilities to single events. The simplest such inference pattern is direct inference: from “70% of As are Bs” and “a is an A” infer that a is a B with probability 0.7. Direct inference is generalized by Jeffrey’s rule and the principle of cross-entropy minimization. To adequately formalize inductive probabilistic reasoning is an interesting topic for artificial intelligence, as an (...)
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  16.  10
    LSTM vs CNN in real ship trajectory classification.Juan Pedro Llerena, Jesús García & José Manuel Molina - 2024 - Logic Journal of the IGPL 32 (6):942-954.
    Ship-type identification in a maritime context can be critical to the authorities to control the activities being carried out. Although Automatic Identification Systems has been mandatory for certain vessels, if a vessel does not have them voluntarily or not, it can lead to a whole set of problems, which is why the use of tracking alternatives such as radar is fully complementary for a vessel monitoring systems. However, radars provide positions, but not what they are detecting. Having systems capable of (...)
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  17. Cue Effectiveness in Communicatively Efficient Discourse Production.Ting Qian & T. Florian Jaeger - 2012 - Cognitive Science 36 (7):1312-1336.
    Recent years have seen a surge in accounts motivated by information theory that consider language production to be partially driven by a preference for communicative efficiency. Evidence from discourse production (i.e., production beyond the sentence level) has been argued to suggest that speakers distribute information across discourse so as to hold the conditional per-word entropy associated with each word constant, which would facilitate efficient information transfer (Genzel & Charniak, 2002). This hypothesis implies that the conditional (contextualized) probabilities of linguistic (...)
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  18. Advances and Applications of DSmT for Information Fusion. Collected Works, Volume 5.Florentin Smarandache - 2023 - Edited by Smarandache Florentin, Dezert Jean & Tchamova Albena.
    This fifth volume on Advances and Applications of DSmT for Information Fusion collects theoretical and applied contributions of researchers working in different fields of applications and in mathematics, and is available in open-access. The collected contributions of this volume have either been published or presented after disseminating the fourth volume in 2015 in international conferences, seminars, workshops and journals, or they are new. The contributions of each part of this volume are chronologically ordered. First Part of this book presents some (...)
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  19.  33
    Bigrams and the Richness of the Stimulus.Xuân-Nga Cao Kam, Iglika Stoyneshka, Lidiya Tornyova, Janet D. Fodor & William G. Sakas - 2008 - Cognitive Science 32 (4):771-787.
    Recent challenges to Chomsky's poverty of the stimulus thesis for language acquisition suggest that children's primary data may carry “indirect evidence” about linguistic constructions despite containing no instances of them. Indirect evidence is claimed to suffice for grammar acquisition, without need for innate knowledge. This article reports experiments based on those of, who demonstrated that a simple bigram language model can induce the correct form of auxiliary inversion in certain complex questions. This article investigates the nature of the indirect evidence (...)
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  20. Triviality Pursuit.Alan Hájek - 2011 - Topoi 30 (1):3-15.
    The thesis that probabilities of conditionals are conditional probabilities has putatively been refuted many times by so-called ‘triviality results’, although it has also enjoyed a number of resurrections. In this paper I assault it yet again with a new such result. I begin by motivating the thesis and discussing some of the philosophical ramifications of its fluctuating fortunes. I will canvas various reasons, old and new, why the thesis seems plausible, and why we should care about its fate. I will (...)
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  21.  68
    Information Dynamics.Amos Golan - 2014 - Minds and Machines 24 (1):19-36.
    Though we have access to a wealth of information, the main issue is always how to process the available information. How to make sense of all we observe and know. Just like the English alphabet: we know there are 26 letters but unless we put these letters together in a meaningful way, they convey no information. There are infinitely many ways of putting these letters together. Only a small number of those make sense. Only some of those convey exactly what (...)
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  22. Deceptive updating and minimal information methods.Haim Gaifman & Anubav Vasudevan - 2012 - Synthese 187 (1):147-178.
    The technique of minimizing information (infomin) has been commonly employed as a general method for both choosing and updating a subjective probability function. We argue that, in a wide class of cases, the use of infomin methods fails to cohere with our standard conception of rational degrees of belief. We introduce the notion of a deceptive updating method and argue that non-deceptiveness is a necessary condition for rational coherence. Infomin has been criticized on the grounds that there are no higher (...)
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  23.  16
    Enculturation without TTOM and Bayesianism without FEP: Another Bayesian theory of culture is needed.Martin Fortier-Davy - 2020 - Behavioral and Brain Sciences 43.
    First, I discuss cross-cultural evidence showing that a good deal of enculturation takes place outside of thinking through other minds. Second, I review evidence challenging the claim that humans seek to minimize entropy. Finally, I argue that optimality claims should be avoided, and that descriptive Bayesianism offers a more promising avenue for the development of a Bayesian theory of culture.
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  24. Discussion on the Relationship between Computation, Information, Cognition, and Their Embodiment.Gordana Dodig-Crnkovic & Marcin Miłkowski - 2023 - Entropy 25 (2):310.
    Three special issues of Entropy journal have been dedicated to the topics of “InformationProcessing and Embodied, Embedded, Enactive Cognition”. They addressed morphological computing, cognitive agency, and the evolution of cognition. The contributions show the diversity of views present in the research community on the topic of computation and its relation to cognition. This paper is an attempt to elucidate current debates on computation that are central to cognitive science. It is written in the form of a dialog between two (...)
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  25.  14
    Consistency in Motion Event Encoding Across Languages.Guillermo Montero-Melis - 2021 - Frontiers in Psychology 12:625153.
    Syntactic templates serve as schemas, allowing speakers to describe complex events in a systematic fashion. Motion events have long served as a prime example of how different languages favor different syntactic frames, in turn biasing their speakers toward different event conceptualizations. However, there is also variability in how motion events are syntactically framed within languages. Here, we measure the consistency in event encoding in two languages, Spanish and Swedish. We test a dominant account in the literature, namely that variability within (...)
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  26.  46
    Gods of the Anthropocene: Geo-Spiritual Formations in the Earth’s New Epoch.Bronislaw Szerszynski - 2017 - Theory, Culture and Society 34 (2-3):253-275.
    In this article the author argues that we need not just to ‘decolonize’ the Anthropocene but also to ‘desecularize’ it – to be aware that in the new age of the Earth we may be coeval with gods and spirits. Drawing particularly on the work of Gilles Deleuze, Félix Guattari and Georges Bataille, and using concepts from both thermodynamics and fluid dynamics, the author starts to develop an interdisciplinary theory of planetary spirit and use this to speak of both the (...)
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  27.  20
    EW-CACTUs-MAML: A Robust Metalearning System for Rapid Classification on a Large Number of Tasks.Wen-Feng Wang, Jingjing Zhang & Peng An - 2022 - Complexity 2022:1-8.
    This study aims to develop a robust metalearning system for rapid classification on a large number of tasks. The model-agnostic metalearning with the CACTUs method is improved as EW-CACTUs-MAML after integrated with the entropy weight method. Few-shot mechanisms are introduced in the deep network for efficient learning of a large number of tasks. The process of implementation is theoretically interpreted as “gene intelligence.” Validation of EW-CACTUs-MAML on a typical dataset indicates an accuracy of 97.42%, performing better than CACTUs-MAML. At (...)
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  28.  45
    Language varieties.Christopher Manning - unknown
    Part-of-speech tagging, like any supervised statistical NLP task, is more difficult when test sets are very different from training sets, for example when tagging across genres or language varieties. We examined the problem of POS tagging of different varieties of Mandarin Chinese. An analytic study first showed that unknown words were a major source of difficulty in cross-variety tagging. Unknown words in English tend to be proper nouns. By contrast, we found that Mandarin unknown words were mostly common nouns (...)
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  29.  26
    Foundations of Epistemic Risk.Boris Babic - 2018 - Dissertation, University of Michigan
    My goal in this dissertation is to start a conversation about the role of risk in the decision-theoretic assessment of partial beliefs or credences in formal epistemology. I propose a general theory of epistemic risk in terms of relative sensitivity to different types of graded error. The approach I develop is broadly inspired by the pragmatism of the American philosopher Charles Sanders Peirce and his notion of the ``economy of research.'' I express this framework in information-theoretic terms and show that (...)
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  30.  54
    On the Origin of Entropic Gravity and Inertia.Jae-Weon Lee - 2012 - Foundations of Physics 42 (9):1153-1164.
    It was recently suggested that quantum field theory is not fundamental but emerges from the loss of phase space information about matter crossing causal horizons. Possible connections between this formalism and Verlinde’s entropic gravity and Jacobson’s thermodynamic gravity are proposed. The holographic screen in Verlinde’s formalism can be identified as local Rindler horizons and its entropy as that of the bulk fields beyond the horizons. This naturally resolves some issues on entropic gravity. The quantum fluctuation of the fields is (...)
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  31.  12
    The associative system of early-learned Hebrew verbs and body parts: a comparative study with American English.Josita Maouene, Nitya Sethuraman, Sigal Uziel-Karl & Shohei Hidaka - 2023 - Cognitive Linguistics 34 (1):1-34.
    This paper compares the associative system of early-learned verbs and body parts in Hebrew with previously published data on American English (Maouene, Josita, Shohei Hidaka & Linda B. Smith. 2008. Body parts and early-learned verbs. Cognitive Science 32(7). 1200–1216). Following the methodology of the former study, 51 Hebrew-speaking college students gave the first body part that came to mind for each of 103 early-learned Hebrew verbs, 81 of which were translational equivalents. Rate of convergence and divergence and underlying patterns were (...)
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  32.  51
    A fundamental measure of treatment effect heterogeneity.Romain Pirracchio, Alan Hubbard, Mark van der Laan & Jonathan Levy - 2021 - Journal of Causal Inference 9 (1):83-108.
    The stratum-specific treatment effect function is a random variable giving the average treatment effect (ATE) for a randomly drawn stratum of potential confounders a clinician may use to assign treatment. In addition to the ATE, the variance of the stratum-specific treatment effect function is fundamental in determining the heterogeneity of treatment effect values. We offer a non-parametric plug-in estimator, the targeted maximum likelihood estimator (TMLE) and the cross-validated TMLE (CV-TMLE), to simultaneously estimate both the average and variance of the (...)
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  33.  21
    The Physics and Metaphysics of Transubstantiation.Mark P. Fusco - 2023 - Springer Verlag.
    In this book, Mark P. Fusco offers a historical, philosophical and theological review and appraisal of current research into quantum, post-modern, atheistic, mathematical, and philosophical theories that engage our interpretation of Hans Urs von Balthasar and Ferdinand Ulrich’s accounts of Ur-Kenosis. This cross-disciplinary approach inspires a new speculative metaphysical theory based on the representation of being as a holo-somatic ontology. Holocryptic metaphysics gives us a novel interpretation of transubstantiation as it is founded on the findings of quantum mechanical theory. (...)
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  34.  58
    Western and Russian Traditions of Big History: A Philosophical Insight.Akop P. Nazaretyan - 2005 - Journal for General Philosophy of Science / Zeitschrift für Allgemeine Wissenschaftstheorie 36 (1):63-80.
    Big History - an integral conception of the past since the Big Bang until today - is a novel subject of cross-disciplinary interest. The concept was construed in the 1980-1990s simultaneously in different countries, after relevant premises had matured in the sciences and humanities. Various versions and traditions of Big History are considered in the article. Particularly, most of the Western authors emphasize the idea of equilibrium, and thus reduce cosmic, biological, and social evolution to the mass-energy processes; the (...)
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  35.  72
    Multidimensional Inequality Measurement: A Proposal.Christian List - unknown
    Two essential intuitions about the concept of multidimensional inequality have been highlighted in the emerging body of literature on this subject: first, multidimensional inequality should be a function of the uniform inequality of a multivariate distribution of goods or attributes across people (Kolm, 1977); and, second, it should also be a function of the cross-correlation between distributions of goods or attributes in different dimensions (Atkinson and Bourguignon, 1982; Walzer, 1983). While the first intuition has played a major role in (...)
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  36.  13
    Energies in the arts.Douglas Kahn (ed.) - 2019 - Cambridge, Massachusetts: The MIT Press.
    Investigating the concepts and material realities of energy coursing through the arts: a foundational text. This book investigates energies—in the plural, the energies embedded and embodied in everything under the sun— as they are expressed in the arts. With contributions from scholars and critics from the visual arts, art history, anthropology, music, literature, and the history of science, it offers the first multidisciplinary investigation of the concepts and material realities of energy coursing through the arts. Just as Douglas Kahn's earlier (...)
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  37.  5
    From chaos to complexity science: 20 years of multidisciplinary explorations.Franco Orsucci & Nicoletta Sala (eds.) - 2021 - New York: Nova Science Publishers.
    This book is dedicated to the first ten years of Chaos and Complexity Letters - International Journal of Dynamical Systems Research. This journal was born to collect and disseminate complexity science related information to anybody interested in the topic; to speed up the evolutionary development of complexity science; to extend its interactions crossing over disciplines, levels of knowledge and geography; and to foster finding new pathways in research and new applications. The structure of CCL was specifically designed to add value (...)
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  38.  33
    The Patterns of Cultural Grasp of Reality.Liliya Abrarova - 2008 - Proceedings of the Xxii World Congress of Philosophy 20:5-7.
    In rapid growth of segnicita, taking place in the modern milestone in the history of development of a society, there is a redistribution of hierarchy of arranging of cultural categories and the meaningfulness, accompanied entropy in consciousness of people and functioning of occurring new simulacres within a society. Thevery image of the world as the semantic substituent to modeled object plays a significant role in a choosing of reference points in communicative space, in particular in political culture. A human (...)
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  39. Abner Shimony.Carnap On Entropy - 1975 - In Jaakko Hintikka (ed.), Rudolf Carnap, logical empiricist: materials and perspectives. Boston: D. Reidel Pub. Co.. pp. 381.
     
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  40. Obligations to Artworks as Duties of Love.Anthony Cross - 2017 - Estetika: The European Journal of Aesthetics 54 (1):85-101.
    It is uncontroversial that our engagement with artworks is constrained by obligations; most commonly, these consist in obligations to other persons, such as artists, audiences, and owners of artworks. A more controversial claim is that we have genuine obligations to artworks themselves. I defend a qualified version of this claim. However, I argue that such obligations do not derive from the supposed moral rights of artworks – for no such rights exist. Rather, I argue that these obligations are instances of (...)
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  41.  33
    Richard Cross’s Response to Brian Davies.Richard Cross - 2018 - American Catholic Philosophical Quarterly 92 (2):329-331.
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  42.  62
    Radicalizing realist legitimacy.Ben Cross - 2019 - Philosophy and Social Criticism 46 (4):369-389.
    Several critics of realist theories of political legitimacy have alleged that it possesses a problematic bias towards the status quo. This bias is thought to be reflected in the way in which these...
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  43.  23
    Can narratives about sovereign debt be generally ideologically suspicious? An exercise in broadening the scope of ideology critique.Ben Cross & Janosch Prinz - forthcoming - Journal of Social Philosophy.
    Journal of Social Philosophy, EarlyView.
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  44.  86
    Duns Scotus.Richard Cross - 1999 - New York: Oxford University Press.
    The nature and content of the thought of Duns Scotus (c. 1266-1308) remains largely unknown except by the expert. This book provides an accessible account of Scotus' theology, focusing both on what is distinctive in his thought, and on issues where his insights might prove to be of perennial value.
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  45.  58
    Naturalist Political Realism and the First Political Question.Ben Cross - 2017 - Ratio 31 (S1):81-95.
    Many political realists reject the idea that the first task for political philosophy is to justify the existence of coercive political institutions. Instead, they say, we should begin with the factual existence of CPIs, and ask how they ought to be structured. In holding this view, they adopt a form of political naturalism that is broadly Aristotelian in character. In this article, I distinguish between two forms that this political naturalism might take - what I call a ‘strong’ form, and (...)
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  46. II–Richard Cross: Relations, Universals, and The Abuse Of Tropes.Richard Cross - 2005 - Aristotelian Society Supplementary Volume 79 (1):53-72.
  47. The Oxford Dictionary of the Christian Church.F. L. Cross - unknown
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  48. The Paradox of the Knower without Epistemic Closure -- Corrected.C. B. Cross - 2012 - Mind 121 (482):457-466.
    This essay corrects an error in the presentation of the Paradox of the Knowledge-Plus Knower, which is the variant of Kaplan and Montague’s Knower Paradox presented in C. Cross 2001: ‘The Paradox of the Knower without Epistemic Closure,’ MIND, 110, pp. 319–33. The correction adds a universally quantified transitivity principle for derivability as an additional assumption leading to paradox. This correction does not affect the status of the Knowledge-Plus paradox as a rebuttal to an argument against epistemic closure, since (...)
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  49.  94
    A theorem concerning syntactical treatments of nonidealized belief.Charles B. Cross - 2001 - Synthese 129 (3):335 - 341.
    [IMPORTANT CORRECTION - See end of abstract.] In Syntactical Treatments of Modality, with Corollaries on Reflexion Principles and Finite Axiomatizability, Acta Philosophica Fennica 16 (1963), 153–167, Richard Montague shows that the use of a single syntactic predicate (with a context-independent semantic value) to represent modalities of alethic necessity and idealized knowledge leads to inconsistency. In A Note on Syntactical Treatments of Modality, Synthese 44 (1980), 391–395, Richmond Thomason obtains a similar impossibility result for idealized belief: under a syntactical treatment of (...)
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  50. Dr Orchard's Passage "From Faith to Faith" ii.F. L. Cross - 1932 - Hibbert Journal 31:541.
     
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