Results for 'Liliane Borel'

765 found
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  1.  22
    Do Visual and Vestibular Inputs Compensate for Somatosensory Loss in the Perception of Spatial Orientation? Insights From a Deafferented Patient.Lionel Bringoux, Cécile Scotto Di Cesare, Liliane Borel, Thomas Macaluso & Fabrice R. Sarlegna - 2016 - Frontiers in Human Neuroscience 10.
  2.  33
    Borel on the Heap.Paul Égré & Anouk Barberousse - 2014 - Erkenntnis 79 (S5):1043-1079.
    In 1907 Borel published a remarkable essay on the paradox of the Heap (“Un paradoxe économique: le sophisme du tas de blé et les vérités statistiques”), in which Borel proposes what is likely the first statistical account of vagueness ever written, and where he discusses the practical implications of the sorites paradox, including in economics. Borel’s paper was integrated in his book Le Hasard, published 1914, but has gone mostly unnoticed since its publication. One of the originalities (...)
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  3.  16
    The Borel Complexity of Isomorphism for Theories with Many Types.David Marker - 2007 - Notre Dame Journal of Formal Logic 48 (1):93-97.
    During the Notre Dame workshop on Vaught's Conjecture, Hjorth and Kechris asked which Borel equivalence relations can arise as the isomorphism relation for countable models of a first-order theory. In particular, they asked if the isomorphism relation can be essentially countable but not tame. We show this is not possible if the theory has uncountably many types.
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  4.  39
    A Borel Reducibility Theory for Classes of Countable Structures.Harvey Friedman & Lee Stanley - 1989 - Journal of Symbolic Logic 54 (3):894-914.
    We introduce a reducibility preordering between classes of countable structures, each class containing only structures of a given similarity type (which is allowed to vary from class to class). Though we sometimes work in a slightly larger context, we are principally concerned with the case where each class is an invariant Borel class (i.e. the class of all models, with underlying set $= \omega$, of an $L_{\omega_1\omega}$ sentence; from this point of view, the reducibility can be thought of as (...)
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  5.  9
    On Borel Ideals.Fons van Engelen - 1994 - Annals of Pure and Applied Logic 70 (2):177-203.
    We show that a first category homogeneous zero-dimensional Borel set X can be embedded in as an ideal on ω if and only if X is homeomorphic to X × X if and only if X is Wadge-equivalent to X × X. Furthermore, we determine the Wadge classes of such X, thus giving a complete picture of the possible descriptive complexity of Borel ideals on ω. We also discuss the connection with ideals of compact sets.
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  6.  48
    Countable Borel Equivalence Relations.S. Jackson, A. S. Kechris & A. Louveau - 2002 - Journal of Mathematical Logic 2 (01):1-80.
    This paper develops the foundations of the descriptive set theory of countable Borel equivalence relations on Polish spaces with particular emphasis on the study of hyperfinite, amenable, treeable and universal equivalence relations.
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  7. Conditional Clauses: External and Internal Syntax.Liliane Haegeman - 2003 - Mind and Language 18 (4):317-339.
    : The paper focuses on the difference between event‐conditionals and premise‐conditionals. An event‐conditional contributes to event structure: it modifies the main clause event; a premise‐conditional structures the discourse: it makes manifest a proposition that is the privileged context for the processing of the associated clause. The two types of conditional clauses will be shown to differ both in terms of their ‘external syntax’ and in terms of their ‘internal syntax’. The peripheral structure of event conditionals will be shown to lack (...)
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  8.  8
    A New 4D Chaotic System with Two-Wing, Four-Wing, and Coexisting Attractors and Its Circuit Simulation.Lilian Huang, Zefeng Zhang, Jianhong Xiang & Shiming Wang - 2019 - Complexity 2019:1-13.
    In order to further improve the complexity of chaotic system, a new four-dimensional chaotic system is constructed based on Sprott B chaotic system. By analyzing the system’s phase diagrams, symmetry, equilibrium points, and Lyapunov exponents, it is found that the system can generate not only both two-wing and four-wing attractors but also the attractors with symmetrical coexistence, and the dynamic characteristics of the new system constructed are more abundant. In addition, the system is simulated by Multisim software, and the simulation (...)
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  9.  28
    Decomposing Borel Functions and Structure at Finite Levels of the Baire Hierarchy.Janusz Pawlikowski & Marcin Sabok - 2012 - Annals of Pure and Applied Logic 163 (12):1748-1764.
    We prove that if f is a partial Borel function from one Polish space to another, then either f can be decomposed into countably many partial continuous functions, or else f contains the countable infinite power of a bijection that maps a convergent sequence together with its limit onto a discrete space. This is a generalization of a dichotomy discovered by Solecki for Baire class 1 functions. As an application, we provide a characterization of functions which are countable unions (...)
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  10.  23
    Borel Reducibility and Hölder(Α) Embeddability Between Banach Spaces.Longyun Ding - 2012 - Journal of Symbolic Logic 77 (1):224-244.
    We investigate Borel reducibility between equivalence relations $E(X;p)=X^{\mathbb{N}}/\ell_{p}(X)'s$ where X is a separable Banach space. We show that this reducibility is related to the so called Hölder(α) embeddability between Banach spaces. By using the notions of type and cotype of Banach spaces, we present many results on reducibility and unreducibility between E(L r ; p)'s and E(c 0 ; p)'s for r, p ∈ [1, +∞). We also answer a problem presented by Kanovei in the affirmative by showing that (...)
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  11.  9
    Borel Equivalence Relations and Classifications of Countable Models.Greg Hjorth & Alexander S. Kechris - 1996 - Annals of Pure and Applied Logic 82 (3):221-272.
    Using the theory of Borel equivalence relations we analyze the isomorphism relation on the countable models of a theory and develop a framework for measuring the complexity of possible complete invariants for isomorphism.
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  12.  21
    Borel Equivalence Relations and Lascar Strong Types.Krzysztof Krupiński, Anand Pillay & Sławomir Solecki - 2013 - Journal of Mathematical Logic 13 (2):1350008.
    The "space" of Lascar strong types, on some sort and relative to a given complete theory T, is in general not a compact Hausdorff topological space. We have at least three aims in this paper. The first is to show that spaces of Lascar strong types, as well as other related spaces and objects such as the Lascar group Gal L of T, have well-defined Borel cardinalities. The second is to compute the Borel cardinalities of the known examples (...)
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  13.  16
    Hermeneutics, Interpretation Theory in Schleiermacher, Dilthey, Heidegger and Gadamer.Liliane Welch & Richard E. Palmer - 1969 - Journal of Aesthetics and Art Criticism 30 (2):260.
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  14.  17
    The Borel Hierarchy Theorem From Brouwer's Intuitionistic Perspective.Wim Veldman - 2008 - Journal of Symbolic Logic 73 (1):1-64.
    In intuitionistic analysis, "Brouwer's Continuity Principle" implies, together with an "Axiom of Countable Choice", that the positively Borel sets form a genuinely growing hierarchy: every level of the hierarchy contains sets that do not occur at any lower level.
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  15. Borel Sets and Ramsey's Theorem.Fred Galvin & Karel Prikry - 1973 - Journal of Symbolic Logic 38 (2):193-198.
  16.  33
    Borel Reducibility and Finitely Hölder (Α) Embeddability.Longyun Ding - 2011 - Annals of Pure and Applied Logic 162 (12):970-980.
    Let , be a sequence of pseudo-metric spaces, and let p≥1. For , let . For Borel reducibility between equivalence relations , we show it is closely related to finitely Hölder embeddability between pseudo-metric spaces.
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  17.  8
    Borel Equivalence Relations Induced by Actions of the Symmetric Group.Greg Hjorth, Alexander S. Kechris & Alain Louveau - 1998 - Annals of Pure and Applied Logic 92 (1):63-112.
    We consider Borel equivalence relations E induced by actions of the infinite symmetric group, or equivalently the isomorphism relation on classes of countable models of bounded Scott rank. We relate the descriptive complexity of the equivalence relation to the nature of its complete invariants. A typical theorem is that E is potentially Π03 iff the invariants are countable sets of reals, it is potentially Π04 iff the invariants are countable sets of countable sets of reals, and so on. The (...)
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  18. Conditioning Using Conditional Expectations: The Borel–Kolmogorov Paradox.Zalán Gyenis, Gabor Hofer-Szabo & Miklós Rédei - 2017 - Synthese 194 (7):2595-2630.
    The Borel–Kolmogorov Paradox is typically taken to highlight a tension between our intuition that certain conditional probabilities with respect to probability zero conditioning events are well defined and the mathematical definition of conditional probability by Bayes’ formula, which loses its meaning when the conditioning event has probability zero. We argue in this paper that the theory of conditional expectations is the proper mathematical device to conditionalize and that this theory allows conditionalization with respect to probability zero events. The conditional (...)
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  19.  24
    No Borel Connections for the Unsplitting Relations.Heike Mildenberger - 2002 - Mathematical Logic Quarterly 48 (4):517-521.
    We prove that there is no Borel connection for non-trivial pairs of unsplitting relations. This was conjectured in [3].
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  20.  11
    Borel-Amenable Reducibilities for Sets of Reals.Luca Motto Ros - 2009 - Journal of Symbolic Logic 74 (1):27-49.
    We show that if Ƒ is any "well-behaved" subset of the Borei functions and we assume the Axiom of Determinacy then the hierarchy of degrees on $P(^\omega \omega )$ induced by Ƒ turns out to look like the Wadge hierarchy (which is the special case where Ƒ is the set of continuous functions).
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  21.  36
    CSR Information Disclosure on the Web: A Context-Based Approach Analysing the Influence of Country of Origin and Industry Sector.Lilian Soares Outtes Wanderley, Rafael Lucian, Francisca Farache & José Milton Sousa Filho - 2008 - Journal of Business Ethics 82 (2):369-378.
    Corporate social responsibility has become a much-discussed subject in the business world. The Internet has become one of the main tools for CSR information disclosure, allowing companies to publicise more information less expensively and faster than ever before. As a result, corporations are increasingly concerned with communicating ethically and responsibly to the diversity of stakeholders through the web. This paper addresses the main question as whether CSR information disclosure on corporate websites is influenced by country of origin and/or industry sector. (...)
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  22.  21
    The Application of Anglo‐American Corporate Practices in Societies Influenced by Confucian Values.Lilian Miles - 2006 - Business and Society Review 111 (3):305-321.
  23.  32
    Beyond Borel-Amenability: Scales and Superamenable Reducibilities.Luca Motto Ros - 2010 - Annals of Pure and Applied Logic 161 (7):829-836.
    We analyze the degree-structure induced by large reducibilities under the Axiom of Determinacy. This generalizes the analysis of Borel reducibilities given in Alessandro Andretta and Donald A. Martin [1], Luca Motto Ros [6] and Luca Motto Ros. [5] e.g. to the projective levels.
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  24.  13
    Borel Equivalence Relations Which Are Highly Unfree.Greg Hjorth - 2008 - Journal of Symbolic Logic 73 (4):1271-1277.
    There is an ergodic, measure preserving, countable Borel equivalence relation E on a standard Borel probability space (X, µ) such that E\c is not essentially free on any conull C ⊂ X.
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  25.  45
    On Borel Equivalence Relations in Generalized Baire Space.Sy-David Friedman & Tapani Hyttinen - 2012 - Archive for Mathematical Logic 51 (3-4):299-304.
    We construct two Borel equivalence relations on the generalized Baire space κ κ , κ <κ = κ > ω, with the property that neither of them is Borel reducible to the other. A small modification of the construction shows that the straightforward generalization of the Glimm-Effros dichotomy fails.
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  26.  23
    Corporate Governance in Asian Countries: Has Confucianism Anything to Offer?Lilian Miles & S. H. Goo - 2013 - Business and Society Review 118 (1):23-45.
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  27.  10
    Borel Partitions of Infinite Subtrees of a Perfect Tree.A. Louveau, S. Shelah & B. Veličković - 1993 - Annals of Pure and Applied Logic 63 (3):271-281.
    Louveau, A., S. Shelah and B. Velikovi, Borel partitions of infinite subtrees of a perfect tree, Annals of Pure and Applied Logic 63 271–281. We define a notion of type of a perfect tree and show that, for any given type τ, if the set of all subtrees of a given perfect tree T which have type τ is partitioned into two Borel classes then there is a perfect subtree S of T such that all subtrees of S (...)
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  28.  12
    Borel's Conjecture in Topological Groups.Fred Galvin & Marion Scheepers - 2013 - Journal of Symbolic Logic 78 (1):168-184.
    We introduce a natural generalization of Borel's Conjecture. For each infinite cardinal number $\kappa$, let ${\sf BC}_{\kappa}$ denote this generalization. Then ${\sf BC}_{\aleph_0}$ is equivalent to the classical Borel conjecture. Assuming the classical Borel conjecture, $\neg{\sf BC}_{\aleph_1}$ is equivalent to the existence of a Kurepa tree of height $\aleph_1$. Using the connection of ${\sf BC}_{\kappa}$ with a generalization of Kurepa's Hypothesis, we obtain the following consistency results: 1. If it is consistent that there is a 1-inaccessible cardinal (...)
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  29. Beyond Existence and Non-Existence.Lilian Alweiss - 2013 - International Journal of Philosophical Studies 21 (3):448-469.
    When Husserl speaks of the so-called ?transcendental reduction? or ?phenomenological epoch?? many believe that he is eschewing the question of truth or existence. Two reasons are given for this: First, Husserl explicitly states that when we perform the reduction, we should no longer naively ?accept [the world] as it presents itself to me as factually existing? (Id I ?30, p. 53) and should suspend our judgement with regard to ?the positing of its actual being? (Id I ?88, p. 182). Second, (...)
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  30.  24
    Challenges of Genetic Testing in Adolescents with Cardiac Arrhythmia Syndromes.Lilian Liou Cohen, Marina Stolerman, Christine Walsh, David Wasserman & Siobhan M. Dolan - 2012 - Journal of Medical Ethics 38 (3):163-167.
    The ability to sequence individual genomes is leading to the identification of an increasing number of genetic risk factors for serious diseases. Knowledge of these risk factors can often provide significant medical and psychological benefit, but also raises complex ethical and social issues. This paper focuses on one area of rapid progress: the identification of mutations causing long QT syndrome and other cardiac channel disorders, which can explain some previously unexplained deaths in infants (SIDS) and children and adults (SUDS) and (...)
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  31. Brain Self-Regulation in Criminal Psychopaths.Lilian Konicar, Ralf Veit, Hedwig Eisenbarth, Beatrix Barth, Paolo Tonin, Ute Strehl & Niels Birbaumer - 2015 - Nature: Scientific Reports 5:1-7.
    Psychopathic individuals are characterized by impaired affective processing, impulsivity, sensation-seeking, poor planning skills and heightened aggressiveness with poor self-regulation. Based on brain self-regulation studies using neurofeedback of Slow Cortical Potentials (SCPs) in disorders associated with a dysregulation of cortical activity thresholds and evidence of deficient cortical functioning in psychopathy, a neurobiological approach seems to be promising in the treatment of psychopathy. The results of our intensive brain regulation intervention demonstrate, that psychopathic offenders are able to gain control of their brain (...)
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  32.  18
    Ethical Implications of Pharmacogenetics – Do Slippery Slope Arguments Matter?Lilian Schubert - 2004 - Bioethics 18 (4):361–378.
  33.  9
    Borel Ideals Vs. Borel Sets of Countable Relations and Trees.Samy Zafrany - 1989 - Annals of Pure and Applied Logic 43 (2):161-195.
  34.  2
    The Borel Complexity of Isomorphism for o-Minimal Theories.Richard Rast & Davender Singh Sahota - 2017 - Journal of Symbolic Logic 82 (2):453-473.
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  35.  5
    Borel Reductions and Cub Games in Generalised Descriptive Set Theory.Vadim Kulikov - 2013 - Journal of Symbolic Logic 78 (2):439-458.
    It is shown that the power set of $\kappa$ ordered by the subset relation modulo various versions of the non-stationary ideal can be embedded into the partial order of Borel equivalence relations on $2^\kappa$ under Borel reducibility. Here $\kappa$ is an uncountable regular cardinal with $\kappa^{<\kappa}=\kappa$.
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  36.  74
    Toulmin's Model of Argument and the Question of Relativism.Lilian Bermejo-Luque - 2004 - Informal Logic 24 (2):169-181.
    In The Uses of Argument, Toulmin proposed a distinction between fielddependent and field-invariant standards for argument appraisal that gave rise to a relativistic understanding of his theory. The main goal of this paper is to show that epistemological relativism is not a necessary consequence ofToulmin's model of argument. To this end, I will analyze the role that fields are to play within this model, given a certain conception of one of its key elements: the warrant of an argument.
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  37.  10
    Borel Functors and Infinitary Interpretations.Matthew Harrison-Trainor, Russell Miller & Antonio Montalbán - 2018 - Journal of Symbolic Logic 83 (4):1434-1456.
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  38.  34
    Continuous Versus Borel Reductions.Simon Thomas - 2009 - Archive for Mathematical Logic 48 (8):761-770.
    We present some natural examples of countable Borel equivalence relations E, F with E ≤ B F such that there does not exist a continuous reduction from E to F.
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  39.  5
    The Borel Conjecture.Haim Judah, Saharon Shelah & W. H. Woodin - 1990 - Annals of Pure and Applied Logic 50 (3):255-269.
    We show the Borel Conjecture is consistent with the continuum large.
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  40. Naviguer entre l'instruction et la socialisation : discours d'enseignants québécois du secondaire.Liliane Portelance, Stéphane Martineau, Annie Presseau & Sébastien Rojo - 2012 - Revue Phronesis 1 (4):98-109.
    The success of the mission of the school based largely on teachers, it is important to understand exactly how they see their role in the actualization of this mission. So this article initiates a reflection on how secondary school teachers in Quebec think their educational mission. More specifically, we analyze how the educational mission takes shape in their professional practice. La réussite de la mission de l’école reposant en grande partie sur les enseignants, il importe de cerner avec précision comment (...)
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  41.  16
    Superrigidity and Countable Borel Equivalence Relations.Simon Thomas - 2003 - Annals of Pure and Applied Logic 120 (1-3):237-262.
    We formulate a Borel version of a corollary of Furman's superrigidity theorem for orbit equivalence and present a number of applications to the theory of countable Borel equivalence relations. In particular, we prove that the orbit equivalence relations arising from the natural actions of on the projective planes over the various p-adic fields are pairwise incomparable with respect to Borel reducibility.
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  42.  16
    Borel Quasi-Orderings in Subsystems of Second-Order Arithmetic.Alberto Marcone - 1991 - Annals of Pure and Applied Logic 54 (3):265-291.
    We study the provability in subsystems of second-order arithmetic of two theorems of Harrington and Shelah [6] about Borel quasi-orderings of the reals. These theorems turn out to be provable in ATR0, thus giving further evidence to the observation that ATR0 is the minimal subsystem of second-order arithmetic in which significant portion of descriptive set theory can be developed. As in [6] considering the lightface versions of the theorems will be instrumental in their proof and the main techniques employed (...)
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  43.  15
    Effective Borel Degrees of Some Topological Functions.Guido Gherardi - 2006 - Mathematical Logic Quarterly 52 (6):625-642.
    The focus of this paper is the incomputability of some topological functions using the tools of Borel computability theory, as introduced by V. Brattka in [3] and [4]. First, we analyze some basic topological functions on closed subsets of ℝn, like closure, border, intersection, and derivative, and we prove for such functions results of Σ02-completeness and Σ03-completeness in the effective Borel hierarchy. Then, following [13], we re-consider two well-known topological results: the lemmas of Urysohn and Urysohn-Tietze for generic (...)
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  44.  37
    Space and Time.Emile Borel - 1960 - New York: Dover Publications.
    We have, however, as the title of the book would suggest, dealt mainly with space and time, introducing mechanical and electromagnetic considerations only when ...
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  45.  43
    The Effective Theory of Borel Equivalence Relations.Ekaterina B. Fokina, Sy-David Friedman & Asger Törnquist - 2010 - Annals of Pure and Applied Logic 161 (7):837-850.
    The study of Borel equivalence relations under Borel reducibility has developed into an important area of descriptive set theory. The dichotomies of Silver [20] and Harrington, Kechris and Louveau [6] show that with respect to Borel reducibility, any Borel equivalence relation strictly above equality on ω is above equality on , the power set of ω, and any Borel equivalence relation strictly above equality on the reals is above equality modulo finite on . In this (...)
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  46.  21
    Effective Borel Measurability and Reducibility of Functions.Vasco Brattka - 2005 - Mathematical Logic Quarterly 51 (1):19-44.
    The investigation of computational properties of discontinuous functions is an important concern in computable analysis. One method to deal with this subject is to consider effective variants of Borel measurable functions. We introduce such a notion of Borel computability for single-valued as well as for multi-valued functions by a direct effectivization of the classical definition. On Baire space the finite levels of the resulting hierarchy of functions can be characterized using a notion of reducibility for functions and corresponding (...)
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  47.  23
    The World Unclaimed: A Challenge to Heidegger's Critique of Husserl.Lilian Alweiss - 2003 - Ohio University Press.
    The World Unclaimed argues that Heidegger's critique of modern epistemology in Being and Time is seriously flawed.
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  48. Π11 Borel Sets.Alexander S. Kechris, David Marker & Ramez L. Sami - 1989 - Journal of Symbolic Logic 54 (3):915 - 920.
  49.  16
    Weak Borel Chromatic Numbers.Stefan Geschke - 2011 - Mathematical Logic Quarterly 57 (1):5-13.
    Given a graph G whose set of vertices is a Polish space X, the weak Borel chromatic number of G is the least size of a family of pairwise disjoint G -independent Borel sets that covers all of X. Here a set of vertices of a graph G is independent if no two vertices in the set are connected by an edge.We show that it is consistent with an arbitrarily large size of the continuum that every closed graph (...)
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  50.  27
    Baire Reductions and Good Borel Reducibilities.Luca Motto Ros - 2010 - Journal of Symbolic Logic 75 (1):323-345.
    In [9] we have considered a wide class of "well-behaved" reducibilities for sets of reals. In this paper we continue with the study of Borel reducibilities by proving a dichotomy theorem for the degree-structures induced by good Borel reducibilities. This extends and improves the results of [9] allowing to deal with a larger class of notions of reduction (including, among others, the Baire class ξ functions).
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