Results for 'The Functionality of Cardinality'

979 found
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  1. Geometric cardinal invariants, maximal functions and a measure theoretic pigeonhole principle.Juris Steprāns - 2005 - Bulletin of Symbolic Logic 11 (4):517-525.
    It is shown to be consistent with set theory that every set of reals of size ℵ1 is null yet there are ℵ1 planes in Euclidean 3-space whose union is not null. Similar results will be obtained for other geometric objects. The proof relies on results from harmonic analysis about the boundedness of certain harmonic functions and a measure theoretic pigeonhole principle.
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  2.  45
    Remarks on continuum cardinals on Boolean algebras.J. Donald Monk - 2012 - Mathematical Logic Quarterly 58 (3):159-167.
    We give some results concerning various generalized continuum cardinals. The results answer some natural questions which have arisen in preparing a new edition of 5. To make the paper self-contained we define all of the cardinal functions that enter into the theorems here. There are many problems concerning these new functions, and we formulate some of the more important ones.
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  3.  17
    Writings on church and reform.Cardinal Nicholas - 2008 - Cambridge: Harvard University Press. Edited by Thomas M. Izbicki.
    Nicholas of Cusa (1401-1464), a student of canon law who became a Catholic cardinal, was widely considered the most important original philosopher of the Renaissance. He wrote principally on theology, philosophy, and church politics. This volume makes most of Nicholas's other writings on Church and reform available in English for the first time.
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  4. Some Remarks on Normal Measures and Measurable Cardinals.Arthur W. Apter - 2001 - Mathematical Logic Quarterly 47 (1):35-44.
    We prove two theorems which in a certain sense show that the number of normal measures a measurable cardinal κ can carry is independent of a given fixed behavior of the continuum function on any set having measure 1 with respect to every normal measure over κ . First, starting with a model V ⊨ “ZFC + GCH + o = δ*” for δ* ≤ κ+ any finite or infinite cardinal, we force and construct an inner model N ⊆ V (...)
     
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  5.  43
    Some Problems in Singular Cardinals Combinatorics.Matthew Foreman - 2005 - Notre Dame Journal of Formal Logic 46 (3):309-322.
    This paper attempts to present and organize several problems in the theory of Singular Cardinals. The most famous problems in the area (bounds for the ℶ-function at singular cardinals) are well known to all mathematicians with even a rudimentary interest in set theory. However, it is less well known that the combinatorics of singular cardinals is a thriving area with results and problems that do not depend on a solution of the Singular Cardinals Hypothesis. We present here an annotated collection (...)
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  6. Natural Theology, Logic, Ethics, History of Philosophy.Cardinal Mercier - 2013 - Editiones Scholasticae.
    Cardinal Mercier’s Manual of Modern Scholastic Philosophy is a standard work, prepared at the Higher Institute of Philosophy, Louvain, mainly for the use of clerical students in Catholic Seminaries. Though undoubtedly elementary, it contains a clear, simple, and methodological exposition of the principles and problems of every department of philosophy, and its appeal is not to any particular class, but broadly human and universal. Volume II contains sections on natural theology, logic, ethics and outlines of the history of philosophy.
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  7.  14
    Soundscape and Power.Serge Cardinal & Oana Avasilichioaei - 2020 - Substance 49 (2):60-70.
    In Balcony in the Forest, Julien Gracq composes a soundscape in four dimensions: he establishes an undulating background by involving spatial events; he forms temporal figures by involving material affects—spatial events and material affects extracted from depths before being enveloped by a resonant place. Each of the four dimensions has a particular relationship to the sounds of power and the power of sound, and it is up to the reader to decide whether the soundscape composed in and by the writing (...)
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  8.  41
    Bilinguisme et territorialité : l'aménagement linguistique au Québec et au Canada.Linda Cardinal - 2008 - Hermes 51:135.
    Quelles politiques linguistiques vont le mieux permettre de mettre en valeur les avantages du bilinguisme et l'apprentissage des langues tout en favorisant la pérennité des langues minoritaires à l'ère de la mondialisation? Cet article tente de répondre à la question en basant son propos sur l'exemple des politiques d'aménagement linguistique du Canada et du Québec. Il montre que la mondialisation linguistique exerce une pression supplémentaire sur un équilibre déjà fragile entre les francophones et les anglophones au Canada et il suggère (...)
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  9.  50
    Collapsing functions.Ernest Schimmerling & Boban Velickovic - 2004 - Mathematical Logic Quarterly 50 (1):3-8.
    We define what it means for a function on ω1 to be a collapsing function for λ and show that if there exists a collapsing function for +, then there is no precipitous ideal on ω1. We show that a collapsing function for ω2 can be added by forcing. We define what it means to be a weakly ω1-Erdös cardinal and show that in L[E], there is a collapsing function for λ iff λ is less than the least weakly ω1-Erdös (...)
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  10.  31
    Rank Functions and Partial Stability Spectra for Tame Abstract Elementary Classes.Michael J. Lieberman - 2013 - Notre Dame Journal of Formal Logic 54 (2):153-166.
    We introduce a family of rank functions and related notions of total transcendence for Galois types in abstract elementary classes. We focus, in particular, on abstract elementary classes satisfying the condition known as tameness, where the connections between stability and total transcendence are most evident. As a byproduct, we obtain a partial upward stability transfer result for tame abstract elementary classes stable in a cardinal $\lambda$ satisfying $\lambda^{\aleph_{0}}\gt \lambda$, a substantial generalization of a result of Baldwin, Kueker, and VanDieren.
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  11. Choice-Based Cardinal Utility. A Tribute to Patrick Suppes.Jean Baccelli & Philippe Mongin - 2016 - Journal of Economic Methodology 23 (3):268-288.
    We reexamine some of the classic problems connected with the use of cardinal utility functions in decision theory, and discuss Patrick Suppes's contributions to this field in light of a reinterpretation we propose for these problems. We analytically decompose the doctrine of ordinalism, which only accepts ordinal utility functions, and distinguish between several doctrines of cardinalism, depending on what components of ordinalism they specifically reject. We identify Suppes's doctrine with the major deviation from ordinalism that conceives of utility functions as (...)
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  12. Decomposing baire functions.J. Cichoń, M. Morayne, J. Pawlikowski & S. Solecki - 1991 - Journal of Symbolic Logic 56 (4):1273 - 1283.
    We discuss in the paper the following problem: Given a function in a given Baire class, into "how many" (in terms of cardinal numbers) functions of lower classes can it be decomposed? The decomposition is understood here in the sense of the set-theoretical union.
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  13.  42
    Power function on stationary classes.Moti Gitik & Carmi Merimovich - 2006 - Annals of Pure and Applied Logic 140 (1):75-103.
    We show that under certain large cardinal requirements there is a generic extension in which the power function behaves differently on different stationary classes. We achieve this by doing an Easton support iteration of the Radin on extenders forcing.
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  14.  31
    Newman In Retrospect.Avery Cardinal Dulles - 2004 - Newman Studies Journal 1 (1):7-19.
    This article, originally the concluding chapter of Cardinal Dulles’ recent book on Newman’s theology, provides an insightful discussion of Newman’s relevance for today by comparing his theological thought with a series of themes that were subsequently treated by the Second Vatican Council (1962-65): from revelation and faith, scripture and tradition, and the development of doctrine, to questions of ecclesiology, especially infallibility, the role of the laity, and social-political issues.“After nearly two centuries, the writings of Newman continue to have a very (...)
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  15.  9
    Mind, Heart, and Spirit: Educators Speak.Heather Cardin - 2009 - Baha'i.
    Real-life stories from teachers who share their passion for shaping the lives of young people today.
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  16. Frege’s Cardinals as Concept-correlates.Gregory Landini - 2006 - Erkenntnis 65 (2):207-243.
    In his "Grundgesetze", Frege hints that prior to his theory that cardinal numbers are objects he had an "almost completed" manuscript on cardinals. Taking this early theory to have been an account of cardinals as second-level functions, this paper works out the significance of the fact that Frege's cardinal numbers is a theory of concept-correlates. Frege held that, where n > 2, there is a one—one correlation between each n-level function and an n—1 level function, and a one—one correlation between (...)
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  17.  37
    Simultaneously vanishing higher derived limits without large cardinals.Jeffrey Bergfalk, Michael Hrušák & Chris Lambie-Hanson - 2022 - Journal of Mathematical Logic 23 (1).
    A question dating to Mardešić and Prasolov’s 1988 work [S. Mardešić and A. V. Prasolov, Strong homology is not additive, Trans. Amer. Math. Soc. 307(2) (1988) 725–744], and motivating a considerable amount of set theoretic work in the years since, is that of whether it is consistent with the ZFC axioms for the higher derived limits [Formula: see text] [Formula: see text] of a certain inverse system [Formula: see text] indexed by [Formula: see text] to simultaneously vanish. An equivalent formulation (...)
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  18.  52
    Superatomic Boolean algebras constructed from strongly unbounded functions.Juan Carlos Martínez & Lajos Soukup - 2011 - Mathematical Logic Quarterly 57 (5):456-469.
    Using Koszmider's strongly unbounded functions, we show the following consistency result: Suppose that κ, λ are infinite cardinals such that κ++ + ≤ λ, κ<κ = κ and 2κ = κ+, and η is an ordinal with κ+ ≤ η < κ++ and cf = κ+. Then, in some cardinal-preserving generic extension there is a superatomic Boolean algebra equation image such that equation image, equation image for every α < η and equation image. Especially, equation image and equation image can (...)
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  19. A Manual of Modern Scholastic Philosophy.Cardinal Mercier - 1919 - The Monist 29:639.
     
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  20.  41
    Muchnik Degrees and Cardinal Characteristics.Benoit Monin & André Nies - 2021 - Journal of Symbolic Logic 86 (2):471-498.
    A mass problem is a set of functions$\omega \to \omega $. For mass problems${\mathcal {C}}, {\mathcal {D}}$, one says that${\mathcal {C}}$is Muchnik reducible to${\mathcal {D}}$if each function in${\mathcal {C}}$is computed by a function in${\mathcal {D}}$. In this paper we study some highness properties of Turing oracles, which we view as mass problems. We compare them with respect to Muchnik reducibility and its uniform strengthening, Medvedev reducibility.For$p \in [0,1]$let${\mathcal {D}}(p)$be the mass problem of infinite bit sequencesy(i.e.,$\{0,1\}$-valued functions) such that for each (...)
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  21.  13
    Two Essays on Biblical and on Ecclesiastical Miracles.John Henry Cardinal Newman & Geoffrey Rowell - 2010 - University of Notre Dame Press.
    The essays in this volume were written when John Henry Newman was a Fellow of Oriel College, Oxford. He wrote the first, on biblical miracles "The Miracles of Scripture," in 1825-26, as a relatively young man; the other, "The Miracles of Early Ecclesiastical History," was written in 1842-43. A comparison of the two essays displays a shift in Newman's theological stances. In the earlier essay, Newman argues in accordance with the theology of evidence of his time, maintaining that the age (...)
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  22.  47
    L'enseignement de l'histoire au secondaire : de la certitude du récit sur la nation au vertige de la modernité.Louis LeVasseur & Jean-François Cardin - 2013 - Revue Phronesis 2 (2):63-76.
    Résumé : Cet article s’inscrit dans le cadre d’un programme de recherche portant sur les liens entre les missions d’instruction et de socialisation de l’école québécoise à travers l’enseignement de diverses matières scolaires. Les premiers résultats de la recherche ont montré que pour les enseignants, la construction de l’identité de l’élève a beaucoup plus d’importance que la construction de l’identité collective. Cependant, le processus de subjectivation identifié ne signifie pas pour autant qu’il n’y ait plus aucune transmission ou production de (...)
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  23.  64
    Les enseignants d'histoire et le programme d'Histoire et éducation à la citoyenneté : de la transmission de la mémoire à une citoyenneté « subjective » et ouverte.Louis LeVasseur, Sabrina Moisan & Jean-François Cardin - 2013 - Revue Phronesis 2 (2):77-86.
    Résumé : L’actuel programme d’« Histoire et éducation à la citoyenneté » pour le 2e cycle du secondaire, portant sur l’histoire du Québec, a suscité depuis 2006 de nombreux commentaires dans les milieux intellectuels en raison de son contenu. Certains affirment que la transmission des grands événements historiques qui structurent la mémoire collective ou nationale y est inexistante, d’autres soutiennent qu’il doit favoriser le développement des compétences critiques et citoyennes, donc, l’autonomie de l’élève face à la mémoire collective ou nationale. (...)
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  24.  18
    Human Dignity and Reproductive Technology.Patrick Guinan, Francis Cardinal George, Jean Bethke Elshtain, John M. Haas, Steven Bozza, Daniel P. Toma, Patrick Lee, William E. May, Richard M. Doerflinger & Gerard V. Bradley (eds.) - 2003 - Upa.
    The March 2002 symposium Human Dignity and Reproductive Technology brought together philosophers, theologians, scientists, lawyers, and scholars from across the United States. The essays of this book are the contributions of the symposium's participants.
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  25.  83
    (1 other version)A very discontinuous borel function.Juris Steprāns - 1993 - Journal of Symbolic Logic 58 (4):1268 - 1283.
    It is shown to be consistent that the reals are covered by ℵ1 meagre sets yet there is a Baire class 1 function which cannot be covered by fewer than ℵ2 continuous functions. A new cardinal invariant is introduced which corresponds to the least number of continuous functions required to cover a given function. This is characterized combinatorially. A forcing notion similar to, but not equivalent to, superperfect forcing is introduced.
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  26.  29
    On constructions with 2-cardinals.Piotr Koszmider - 2017 - Archive for Mathematical Logic 56 (7-8):849-876.
    We propose developing the theory of consequences of morasses relevant in mathematical applications in the language alternative to the usual one, replacing commonly used structures by families of sets originating with Velleman’s neat simplified morasses called 2-cardinals. The theory of related trees, gaps, colorings of pairs and forcing notions is reformulated and sketched from a unifying point of view with the focus on the applicability to constructions of mathematical structures like Boolean algebras, Banach spaces or compact spaces. The paper is (...)
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  27.  39
    Easton’s theorem and large cardinals.Sy-David Friedman & Radek Honzik - 2008 - Annals of Pure and Applied Logic 154 (3):191-208.
    The continuum function αmaps to2α on regular cardinals is known to have great freedom. Let us say that F is an Easton function iff for regular cardinals α and β, image and α<β→F≤F. The classic example of an Easton function is the continuum function αmaps to2α on regular cardinals. If GCH holds then any Easton function is the continuum function on regular cardinals of some cofinality-preserving extension V[G]; we say that F is realised in V[G]. However if we also wish (...)
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  28.  49
    Catholicism Engaging Other Faiths: Vatican Ii and its Impact.Michael Amaladoss S. J., Roberto Catalano, Francis X. Clooney S. J., Archbishop Michael L. Fitzgerald, Richard Girardin, Roger Haight S. J., Sallie B. King, Vladimir Latinovic, Leo D. Lefebure, Archbishop Felix Machado, Gerard Mannion, Alexander E. Massad, Sandra Mazzolini, Dawn M. Nothwehr O. S. F., John T. Pawlikowski O. S. M., Peter C. Phan, Jonathan Ray, William Skudlarek O. S. B., Cardinal Jean-Louis Tauran, Jason Welle O. F. M. & Taraneh R. Wilkinson (eds.) - 2018 - Springer Verlag.
    This book assesses how Vatican II opened up the Catholic Church to encounter, dialogue, and engagement with other world religions. Opening with a contribution from the President of the Pontifical Council for Interreligious Dialogue, Cardinal Jean-Louis Tauran, it next explores the impact, relevance, and promise of the Declaration Nostra Aetate before turning to consider how Vatican II in general has influenced interfaith dialogue and the intellectual and comparative study of world religions in the postconciliar decades, as well as the contribution (...)
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  29.  86
    Bounded Martin's Maximum, Weak [image] Cardinals, and [image].David Asperó & Philip D. Welch - 2002 - Journal of Symbolic Logic 67 (3):1141 - 1152.
    We prove that a form of the $Erd\H{o}s$ property (consistent with $V = L\lbrack H_{\omega_2}\rbrack$ and strictly weaker than the Weak Chang's Conjecture at ω1), together with Bounded Martin's Maximum implies that Woodin's principle $\psi_{AC}$ holds, and therefore 2ℵ0 = ℵ2. We also prove that $\psi_{AC}$ implies that every function $f: \omega_1 \rightarrow \omega_1$ is bounded by some canonical function on a club and use this to produce a model of the Bounded Semiproper Forcing Axiom in which Bounded Martin's Maximum (...)
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  30.  8
    A Manual of Modern Scholastic Philosophy: Volume I: Cosmology, Psychology, Epistemology, Ontology.Cardinal Mercier - 2022 - BoD – Books on Demand.
    Cardinal Mercier’s Manual of Modern Scholastic Philosophy is a standard work, prepared at the Higher Institute of Philosophy, Louvain, mainly for the use of clerical students in Catholic Seminaries. Though undoubtedly elementary, it contains a clear, simple, and methodological exposition of the principles and problems of every department of philosophy, and its appeal is not to any particular class, but broadly human and universal. Volume I includes a general introduction to philosophy and sections on cosmology, psychology, criteriology, and metaphysics or (...)
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  31.  10
    Women's Writing on the First World War.Agnès Cardinal, Dorothy Goldman & Judith Hattaway (eds.) - 2002 - Oxford University Press UK.
    'ground-breaking anthology... wide array of perspectives on WW1, from both sides of the fighting' -B. Adler, Choice 'a very fine anthology' -Times Literary SupplementThe First World War inspired a huge outpouring of writing that, until recently, was thought to be almost the exclusive preserve of men. Yet the war also acted as a catalyst which enabled women writers to find a literary and political voice. This anthology bears witness to the great variety and scope of women's writing about the war. (...)
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  32.  14
    A Manual of Modern Scholastic Philosophy: 2 Volume Set.Cardinal Mercier - 2013 - Editiones Scholasticae.
    Cardinal Mercier's A Manual of Modern Scholastic Philosophy is a standard work, prepared at the Higher Institute of Philosophy, Louvain, mainly for the use of clerical students in Catholic seminaries. Though undoubtedly elementary, it contains a clear, simple, and methodological exposition of the principles and problems of every department of philosophy, and its appeal is not to any particular class, but broadly human and universal. Volume I includes a general introduction to philosophy and sections on cosmology, psychology, criteriology, and metaphysics (...)
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  33.  26
    Coding with canonical functions.Paul B. Larson & Saharon Shelah - 2017 - Mathematical Logic Quarterly 63 (5):334-341.
    A function f from ω1 to the ordinals is called a canonical function for an ordinal α if f represents α in any generic ultrapower induced by forcing with math formula. We introduce here a method for coding sets of ordinals using canonical functions from ω1 to ω1. Combining this approach with arguments from, we show, assuming the Continuum Hypothesis, that for each cardinal κ there is a forcing construction preserving cardinalities and cofinalities forcing that every subset of κ is (...)
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  34.  39
    Ordinal Or Cardinal Utility: A Note.Robert Wutscher & Walter E. Block - 2014 - Studia Humana 3 (1):27-37.
    Modern microeconomic theory is based on a foundation of ordinal preference relations. Good textbooks stress that cardinal utility functions are artificial constructions of convenience, and that economics does not attribute any meaning to “utils.” However, we argue that despite this official position, in practice mainstream economists rely on techniques that assume the validity of cardinal utility. Doing so has turned mainstream economic theorizing into an exercise of reductionism of objects down to the preferences of ‘ideal type’ subjects.
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  35.  68
    On General Boundedness and Dominating Cardinals.J. Donald Monk - 2004 - Notre Dame Journal of Formal Logic 45 (3):129-146.
    For cardinals we let be the smallest size of a subset B of unbounded in the sense of ; that is, such that there is no function such that has size less than for all . Similarly for , the general dominating number, which is the smallest size of a subset B of such that for every there is an such that the above set has size less than . These cardinals are generalizations of the usual ones for . When (...)
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  36.  42
    Positive ∑ operations on ordinals and normal filters on greatly mahlo cardinals.Thomas Jech - 1989 - Journal of Symbolic Logic 54 (1):226-233.
    If F is a normal filter on a regular uncountable cardinal κ, let |f| be the F-norm of an ordinal function f. We introduce the class of positive ordinal operations and prove that if F is a positive operation then |F(f)| ≥ F(|f|). For each $\eta let f η be the canonical ηth function. We show that if F is a Σ operation then F(f η ) = f F(η) . As an application we show that if κ is greatly (...)
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  37.  35
    Removing Laver functions from supercompactness arguments.Arthur W. Apter - 2005 - Mathematical Logic Quarterly 51 (2):154.
    We show how the use of a Laver function in the proof of the consistency, relative to the existence of a supercompact cardinal, of both the Proper Forcing Axiom and the Semiproper Forcing Axiom can be eliminated via the use of lottery sums of the appropriate partial orderings.
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  38.  23
    A weird relation between two cardinals.Lorenz Halbeisen - 2018 - Archive for Mathematical Logic 57 (5-6):593-599.
    For a set M, let \\) denote the set of all finite sequences which can be formed with elements of M, and let \ denote the set of all 2-element subsets of M. Furthermore, for a set A, let Open image in new window denote the cardinality of A. It will be shown that the following statement is consistent with Zermelo–Fraenkel Set Theory \: There exists a set M such that Open image in new window and no function Open (...)
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  39.  30
    P-points, MAD families and Cardinal Invariants.Osvaldo Guzmán González - 2022 - Bulletin of Symbolic Logic 28 (2):258-260.
    The main topics of this thesis are cardinal invariants, P -points and MAD families. Cardinal invariants of the continuum are cardinal numbers that are bigger than $\aleph _{0}$ and smaller or equal than $\mathfrak {c}.$ Of course, they are only interesting when they have some combinatorial or topological definition. An almost disjoint family is a family of infinite subsets of $\omega $ such that the intersection of any two of its elements is finite. A MAD family is a maximal almost (...)
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  40.  38
    Proportionality’s Function.Larry Alexander - 2021 - Criminal Law and Philosophy 15 (3):361-372.
    In this paper I argue that punishment should be proportional to desert; that desert turns solely on culpability and not on results: that culpability is a function of what the actor perceives are the risks of his act to others’ interests and the reasons he perceives that might justify, excuse, or aggravate taking those risks; that because culpability is a complex function, ordinally ranking acts in terms of culpability is quite difficult; that converting the ordinal ranking into cardinal measures of (...)
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  41.  21
    Every Borel function is monotone Borel.Boško Živaljević - 1991 - Annals of Pure and Applied Logic 54 (1):87-99.
    Given two internal sets X and Y we prove that every Borel function whose graph is a subset of the product X x Y is a member of the least set containing the class of all internal functions and closed with respect to the operations of monotone countable union and intersection. We also prove that any Souslin function can be extended to a Borel function and obtain, as a corollary, a new proof of the recent result of Henson and Ross (...)
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  42.  34
    Differential Neuroplastic Changes in Fibromyalgia and Depression Indexed by Up-Regulation of Motor Cortex Inhibition and Disinhibition of the Descending Pain System: An Exploratory Study.Tiago Madeira Cardinal, Luciana Conceição Antunes, Aline Patricia Brietzke, Cristiane Schulz Parizotti, Fabiana Carvalho, Andressa De Souza, Iraci Lucena da Silva Torres, Felipe Fregni & Wolnei Caumo - 2019 - Frontiers in Human Neuroscience 13.
  43. Guugu yimithirr cardinal directions.Connie Summers, Thomas M. Bohman, Ronald B. Gillam, Elizabeth D. Pentilde & Lisa M. Bedore - forthcoming - Ethos: Journal of the Society for Psychological Anthropology.
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  44.  52
    Categoricity from one successor cardinal in Tame abstract elementary classes.Rami Grossberg & Monica Vandieren - 2006 - Journal of Mathematical Logic 6 (2):181-201.
    We prove that from categoricity in λ+ we can get categoricity in all cardinals ≥ λ+ in a χ-tame abstract elementary classe [Formula: see text] which has arbitrarily large models and satisfies the amalgamation and joint embedding properties, provided [Formula: see text] and λ ≥ χ. For the missing case when [Formula: see text], we prove that [Formula: see text] is totally categorical provided that [Formula: see text] is categorical in [Formula: see text] and [Formula: see text].
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  45.  39
    Sierpiński-Zygmund functions that are Darboux, almost continuous, or have a perfect road.Marek Balcerzak, Krzysztof Ciesielski & Tomasz Natkaniec - 1997 - Archive for Mathematical Logic 37 (1):29-35.
    In this paper we show that if the real line \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document} ${\Bbb R}$\end{document} is not a union of less than continuum many of its meager subsets then there exists an almost continuous Sierpiński–Zygmund function having a perfect road at each point. We also prove that it is consistent with ZFC that every Darboux function \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document} $f\colon{\Bbb R}\to{\Bbb R}$\end{document} is continuous on some set (...)
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  46.  47
    Calculus on strong partition cardinals.James M. Henle - 2006 - Mathematical Logic Quarterly 52 (6):585-594.
    In [1] it was shown that if κ is a strong partition cardinal, then every function from [κ ]κ to [κ ]κ is continuous almost everywhere. In this investigation, we explore whether such functions are differentiable or integrable in any sense. Some of them are.
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  47.  9
    Participation beyond the assembly: Mary Parker Follett’s democratic theory.Etienne Cardin-Trudeau, Margaret Kohn, Madalyn Hay & Victor Bruzzone - forthcoming - Contemporary Political Theory:1-21.
    Most participatory strands of democratic theory hold a conception of the transformative potential of democratic participation. According to those theories, involvement in deliberative or decision-making processes makes better citizens by teaching them political skills and orienting them towards the common good. This article draws from original interviews with residents of housing coops to argue that this phenomenon can also be found outside formal decision-making forums, in menial and quotidian tasks undertaken for the preservation and maintenance of the organization. Using the (...)
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  48. Functional and Conditional Equivalence: Conceptual Contributions from Behavior Analysis.Angel Cabrera - 1994 - In Ashwin Ram & Kurt Eiselt, Proceedings of the Sixteenth Annual Conference of the Cognitive Science Society: August 13 to 16, 1994, Georgia Institute of Technology. Erlbaum. pp. 16--130.
     
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  49.  36
    Implicitness functions in family argumentation.Antonio Bova - 2011 - In Frans H. van Eemeren, Bart Garssen, David Godden & Gordon Mitchell, Proceedings of the Seventh International Conference of the International Society for the Study of Argumentation. Rozenberg / Sic Sat.
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  50.  62
    Arbitral functions and constitutive rules.Emanuele Bottazzi & Roberta Ferrario - 2013 - In Michael Schmitz, Beatrice Kobow & Hans Bernhard Schmid, The Background of Social Reality: Selected Contributions from the Inaugural Meeting of ENSO. Springer. pp. 201--215.
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