Results for 'Paul E. Howard'

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  1.  33
    The axiom of choice for countable collections of countable sets does not imply the countable union theorem.Paul E. Howard - 1992 - Notre Dame Journal of Formal Logic 33 (2):236-243.
  2.  33
    Maximal $p$-subgroups and the axiom of choice.Paul E. Howard & Mary Yorke - 1987 - Notre Dame Journal of Formal Logic 28 (2):276-283.
  3.  36
    Limitations on the Fraenkel-Mostowski method of independence proofs.Paul E. Howard - 1973 - Journal of Symbolic Logic 38 (3):416-422.
    The Fraenkel-Mostowski method has been widely used to prove independence results among weak versions of the axiom of choice. In this paper it is shown that certain statements cannot be proved by this method. More specifically it is shown that in all Fraenkel-Mostowski models the following hold: 1. The axiom of choice for sets of finite sets implies the axiom of choice for sets of well-orderable sets. 2. The Boolean prime ideal theorem implies a weakened form of Sikorski's theorem.
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  4.  80
    Independence results for class forms of the axiom of choice.Paul E. Howard, Arthur L. Rubin & Jean E. Rubin - 1978 - Journal of Symbolic Logic 43 (4):673-684.
    Let NBG be von Neumann-Bernays-Gödel set theory without the axiom of choice and let NBGA be the modification which allows atoms. In this paper we consider some of the well-known class or global forms of the wellordering theorem, the axiom of choice, and maximal principles which are known to be equivalent in NBG and show they are not equivalent in NBGA.
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  5.  14
    Rado's selection lemma does not imply the Boolean prime ideal theorem.Paul E. Howard - 1984 - Mathematical Logic Quarterly 30 (9‐11):129-132.
  6.  30
    Rado's selection lemma does not imply the Boolean prime ideal theorem.Paul E. Howard - 1984 - Zeitschrift fur mathematische Logik und Grundlagen der Mathematik 30 (9-11):129-132.
  7.  45
    Subgroups of a free group and the axiom of choice.Paul E. Howard - 1985 - Journal of Symbolic Logic 50 (2):458-467.
  8. Definitions of compact.Paul E. Howard - 1990 - Journal of Symbolic Logic 55 (2):645-655.
  9.  19
    A Proof of a Theorem of Tennenbaum.Paul E. Howard - 1972 - Mathematical Logic Quarterly 18 (7):111-112.
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  10.  21
    A Proof of a Theorem of Tennenbaum.Paul E. Howard - 1972 - Zeitschrift fur mathematische Logik und Grundlagen der Mathematik 18 (7):111-112.
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  11.  26
    The Existence of Level Sets in a Free Group Implies the Axiom of Choice.Paul E. Howard - 1987 - Zeitschrift fur mathematische Logik und Grundlagen der Mathematik 33 (4):315-316.
  12.  9
    The Existence of Level Sets in a Free Group Implies the Axiom of Choice.Paul E. Howard - 1987 - Mathematical Logic Quarterly 33 (4):315-316.
  13.  23
    The Fraenkel-Mostowski Method for Independence Proofs in Set Theory.J. W. Addison, Leon Henkin, Alfred Tarski & Paul E. Howard - 1975 - Journal of Symbolic Logic 40 (4):631-631.
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  14. Philosophers and scientists..E. Ray Lankester, Charlton T. Lewis, Richard Holt Hutton, Thomas Davidson, F. Howard Collins & Paul Shorey (eds.) - 1899 - New York,: Doubleday & McClure company.
     
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  15.  28
    U.S. Responses To Japanese Wartime Inhuman Experimentation After World War Ii: National Security and Wartime Exigency.Howard Brody, Sarah E. Leonard, Jing-bao Nie & Paul Weindling - 2014 - Cambridge Quarterly of Healthcare Ethics 23 (2):220-230.
    In 1945–46, representatives of the U.S. government made similar discoveries in both Germany and Japan, unearthing evidence of unethical experiments on human beings that could be viewed as war crimes. The outcomes in the two defeated nations, however, were strikingly different. In Germany, the United States, influenced by the Canadian physician John Thompson, played a key role in bringing Nazi physicians to trial and publicizing their misdeeds. In Japan, the United States played an equally key role in concealing information about (...)
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  16.  21
    Compactness in Countable Tychonoff Products and Choice.Paul Howard, K. Keremedis & J. E. Rubin - 2000 - Mathematical Logic Quarterly 46 (1):3-16.
    We study the relationship between the countable axiom of choice and the Tychonoff product theorem for countable families of topological spaces.
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  17.  35
    Disjoint Unions of Topological Spaces and Choice.Paul Howard, Kyriakos Keremedis, Herman Rubin & Jean E. Rubin - 1998 - Mathematical Logic Quarterly 44 (4):493-508.
    We find properties of topological spaces which are not shared by disjoint unions in the absence of some form of the Axiom of Choice.
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  18.  36
    Versions of Normality and Some Weak Forms of the Axiom of Choice.Paul Howard, Kyriakos Keremedis, Herman Rubin & Jean E. Rubin - 1998 - Mathematical Logic Quarterly 44 (3):367-382.
    We investigate the set theoretical strength of some properties of normality, including Urysohn's Lemma, Tietze-Urysohn Extension Theorem, normality of disjoint unions of normal spaces, and normality of Fσ subsets of normal spaces.
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  19.  24
    History of American Political Thought.John Agresto, John E. Alvis, Donald R. Brand, Paul O. Carrese, Laurence D. Cooper, Murray Dry, Jean Bethke Elshtain, Thomas S. Engeman, Christopher Flannery, Steven Forde, David Fott, David F. Forte, Matthew J. Franck, Bryan-Paul Frost, David Foster, Peter B. Josephson, Steven Kautz, John Koritansky, Peter Augustine Lawler, Howard L. Lubert, Harvey C. Mansfield, Jonathan Marks, Sean Mattie, James McClellan, Lucas E. Morel, Peter C. Meyers, Ronald J. Pestritto, Lance Robinson, Michael J. Rosano, Ralph A. Rossum, Richard S. Ruderman, Richard Samuelson, David Lewis Schaefer, Peter Schotten, Peter W. Schramm, Kimberly C. Shankman, James R. Stoner, Natalie Taylor, Aristide Tessitore, William Thomas, Daryl McGowan Tress, David Tucker, Eduardo A. Velásquez, Karl-Friedrich Walling, Bradley C. S. Watson, Melissa S. Williams, Delba Winthrop, Jean M. Yarbrough & Michael Zuckert - 2003 - Lexington Books.
    This book is a collection of secondary essays on America's most important philosophic thinkers—statesmen, judges, writers, educators, and activists—from the colonial period to the present. Each essay is a comprehensive introduction to the thought of a noted American on the fundamental meaning of the American regime.
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  20.  48
    Paracompactness of Metric Spaces and the Axiom of Multiple Choice.Paul Howard, K. Keremedis & J. E. Rubin - 2000 - Mathematical Logic Quarterly 46 (2):219-232.
    The axiom of multiple choice implies that metric spaces are paracompact but the reverse implication cannot be proved in set theory without the axiom of choice.
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  21. The axiom of choice for well-ordered families and for families of well- orderable sets.Paul Howard & Jean E. Rubin - 1995 - Journal of Symbolic Logic 60 (4):1115-1117.
    We show that it is not possible to construct a Fraenkel-Mostowski model in which the axiom of choice for well-ordered families of sets and the axiom of choice for sets are both true, but the axiom of choice is false.
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  22.  42
    The Boolean Prime Ideal Theorem Plus Countable Choice Do Not Imply Dependent Choice.Paul Howard & Jean E. Rubin - 1996 - Mathematical Logic Quarterly 42 (1):410-420.
    Two Fraenkel-Mostowski models are constructed in which the Boolean Prime Ideal Theorem is true. In both models, AC for countable sets is true, but AC for sets of cardinality 2math image and the 2m = m principle are both false. The Principle of Dependent Choices is true in the first model, but false in the second.
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  23.  30
    Von Rimscha's Transitivity Conditions.Paul Howard, Jean E. Rubin & Adrienne Stanley - 2000 - Mathematical Logic Quarterly 46 (4):549-554.
    In Zermelo-Fraenkel set theory with the axiom of choice every set has the same cardinal number as some ordinal. Von Rimscha has weakened this condition to “Every set has the same cardinal number as some transitive set”. In set theory without the axiom of choice, we study the deductive strength of this and similar statements introduced by von Rimscha.
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  24.  47
    Products of Compact Spaces and the Axiom of Choice.O. De la Cruz, Paul Howard & E. Hall - 2002 - Mathematical Logic Quarterly 48 (4):508-516.
    We study the Tychonoff Compactness Theorem for several different definitions of a compact space.
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  25.  34
    Non-constructive Properties of the Real Numbers.J. E. Rubin, K. Keremedis & Paul Howard - 2001 - Mathematical Logic Quarterly 47 (3):423-431.
    We study the relationship between various properties of the real numbers and weak choice principles.
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  26.  39
    Metric spaces and the axiom of choice.Omar De la Cruz, Eric Hall, Paul Howard, Kyriakos Keremedis & Jean E. Rubin - 2003 - Mathematical Logic Quarterly 49 (5):455-466.
    We study conditions for a topological space to be metrizable, properties of metrizable spaces, and the role the axiom of choice plays in these matters.
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  27.  53
    Products of compact spaces and the axiom of choice II.Omar De la Cruz, Eric Hall, Paul Howard, Kyriakos Keremedis & Jean E. Rubin - 2003 - Mathematical Logic Quarterly 49 (1):57-71.
    This is a continuation of [2]. We study the Tychonoff Compactness Theorem for various definitions of compactness and for various types of spaces . We also study well ordered Tychonoff products and the effect that the multiple choice axiom has on such products.
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  28.  31
    Tp [\ Canadian (Q\ JJJournal of£| Philosophy.Nicholas Asher, Graciela De Pierris, Paul Gomberg, Robert E. Goodin, Charles W. Mills, Jordan Howard Sobel, Andrew Levine, Frank Cunningham, W. J. Waluchow & Wesley Cooper - 1989 - Philosophy 19 (3).
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  29. Definitions of compactness and the axiom of choice.Omar De la Cruz, Eric Hall, Paul Howard, Jean E. Rubin & Adrienne Stanley - 2002 - Journal of Symbolic Logic 67 (1):143-161.
    We study the relationships between definitions of compactness in topological spaces and the roll the axiom of choice plays in these relationships.
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  30.  68
    Unions and the axiom of choice.Omar De la Cruz, Eric J. Hall, Paul Howard, Kyriakos Keremedis & Jean E. Rubin - 2008 - Mathematical Logic Quarterly 54 (6):652-665.
    We study statements about countable and well-ordered unions and their relation to each other and to countable and well-ordered forms of the axiom of choice. Using WO as an abbreviation for “well-orderable”, here are two typical results: The assertion that every WO family of countable sets has a WO union does not imply that every countable family of WO sets has a WO union; the axiom of choice for WO families of WO sets does not imply that the countable union (...)
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  31.  30
    No decreasing sequence of cardinals.Paul Howard & Eleftherios Tachtsis - 2016 - Archive for Mathematical Logic 55 (3-4):415-429.
    In set theory without the Axiom of Choice, we investigate the set-theoretic strength of the principle NDS which states that there is no function f on the set ω of natural numbers such that for everyn ∈ ω, f ≺ f, where for sets x and y, x ≺ y means that there is a one-to-one map g : x → y, but no one-to-one map h : y → x. It is a long standing open problem whether NDS implies (...)
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  32.  13
    Models of $${{\textsf{ZFA}}}$$ in which every linearly ordered set can be well ordered.Paul Howard & Eleftherios Tachtsis - 2023 - Archive for Mathematical Logic 62 (7):1131-1157.
    We provide a general criterion for Fraenkel–Mostowski models of $${\textsf{ZFA}}$$ (i.e. Zermelo–Fraenkel set theory weakened to permit the existence of atoms) which implies “every linearly ordered set can be well ordered” ( $${\textsf{LW}}$$ ), and look at six models for $${\textsf{ZFA}}$$ which satisfy this criterion (and thus $${\textsf{LW}}$$ is true in these models) and “every Dedekind finite set is finite” ( $${\textsf{DF}}={\textsf{F}}$$ ) is true, and also consider various forms of choice for well-ordered families of well orderable sets in these (...)
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  33. Race: A Philosophical Introduction.Paul C. Taylor - 2003 - Polity.
    Paul C. Taylor provides an accessible guide to a well-travelled but still-mysterious area of the contemporary social landscape. The result is the first philosophical introduction to the field of race theory and to a non-biological and situational notion of race. Provides the first philosophical introduction to the field of race theory. Outlines the main features and implications of race-thinking; asks questions such as: What is race-thinking? Don’t we know better than to talk about race now? Are there any races? (...)
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  34.  12
    7 The Fearless Vampire Conservator: Philip Kitcher, Genetic Determinism, and the Informational Gene.Paul E. Griffiths - 2006 - In Eva M. Neumann-Held, Christoph Rehmann-Sutter, Barbara Herrnstein Smith & E. Roy Weintraub (eds.), Genes in Development: Re-reading the Molecular Paradigm. Duke University Press. pp. 175-198.
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  35.  73
    Contemporary Perspectives in the Philosophy of Language. Edited by Peter A. French, Theodore E. Uehling, Jr., and Howard K. Wittstein. [REVIEW]Paul Trainor - 1981 - Modern Schoolman 58 (3):206-206.
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  36.  16
    Book Review:Search for a Method Jean-Paul Sartre, Hazel E. Barnes. [REVIEW]Howard L. Parsons - 1966 - Philosophy of Science 33 (1/2):190-.
  37.  6
    Hermann Cohen and the crisis of liberalism: the enchantment of the public sphere.Paul E. Nahme - 2019 - Bloomington, Indiana: Indiana University Press, Office of Scholarly Publishing, Herman B Wells Library.
    Religion, reason, and the enchanted public sphere -- Minor protest(ant)s: Cohen and German-Jewish liberalism -- The dialectic of enchantment: science, religion, and secular reasoning -- Rights, religion, and race: Cohen's ethical socialism and the specter of anti-Semitism -- Enchanted reasoning: self-reflexive religion and minority -- Some minor reflections of enchantment.
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  38.  7
    Kierkegaard aux Etats-Unis: histoire d'une réception.Éric Pons - 2014 - Paris: L'Harmattan.
    Les débuts pathologiques de l'aventure américaine -- Prélude à l'émigration norvégienne vers l'Amérique : Kierkegaard en Norvège au XIXe siècle -- Les travaux remarquables de David Swenson -- Les choix théoriques de Walter Lowrie, ou comment Søren Kierkegaard fut métamorphosé en "S.K." -- Quelques interprétations anglophones marquantes : Collins, Thomte, Thomas, Holmer, Sponheim (James Collins, Reidar Thomte, John Heywood Thomas, Paul Holmer, Paul Sponheim--interprète de Kierkegaard) -- Le Kierkegaard de Howard Vincent Hong et Edna Hong : un (...)
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  39.  13
    Epistles of the Brethren of Purity: Sciences of the soul and intellect.Paul E. Walker, Ismail K. Poonawala, David Simonowitz & Godefroid de Callataÿ (eds.) - 2015 - Oxford: Oxford University Press, in association with the Institute of Ismaili Studies.
    The Ikhwan al-Safa (Brethren of Purity), the anonymous adepts of a tenth-century esoteric fraternity based in Basra and Baghdad, hold an eminent position in the history of science and philosophy in Islam due to the wide reception and assimilation of their monumental encyclopaedia, the Rasa'il Ikhwan al-Safa (Epistles of the Brethren of Purity). This compendium contains fifty-two epistles offering synoptic accounts of the classical sciences and philosophies of the age; divided into four classificatory parts, it treats themes in mathematics, logic, (...)
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  40.  5
    On Politics and Ethics.Paul E. Thomas & Sigmund - 1988
  41.  35
    Kitab al-Iftikhar.Paul E. Walker, Abu Yaqub Ishaq B. Ahmad Al-Sijistani & Ismail K. Poonawala - 2002 - Journal of the American Oriental Society 122 (3):659.
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  42. Theory-testing in psychology and physics: A methodological paradox.Paul E. Meehl - 1967 - Philosophy of Science 34 (2):103-115.
    Because physical theories typically predict numerical values, an improvement in experimental precision reduces the tolerance range and hence increases corroborability. In most psychological research, improved power of a statistical design leads to a prior probability approaching 1/2 of finding a significant difference in the theoretically predicted direction. Hence the corroboration yielded by "success" is very weak, and becomes weaker with increased precision. "Statistical significance" plays a logical role in psychology precisely the reverse of its role in physics. This problem is (...)
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  43. Virtue Habituation and the Skill of Emotion Regulation.Paul E. Carron - 2021 - In Tom P. S. Angier & Lisa Ann Raphals (eds.), Skill in Ancient Ethics: The Legacy of China, Greece and Rome. New York: Bloomsbury Academic. pp. pp. 115-140.
    In Nicomachean Ethics 2.1, Aristotle draws a now familiar analogy between aretai ('virtues') and technai ('skills'). The apparent basis of this comparison is that both virtue and skill are developed through practice and repetition, specifically by the learner performing the same kinds of actions as the expert: in other words, we become virtuous by performing virtuous actions. Aristotle’s claim that “like states arise from like activities” has led some philosophers to challenge the virtue-skill analogy. In particular, Aristotle’s skill analogy is (...)
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  44. The compleat autocerebroscopist: A thought-experiment on professor Feigl's mind-body identity thesis.Paul E. Meehl - 1966 - In Paul K. Feyerabend & Grover Maxwell (eds.), Mind, Matter, and Method: Essays in Philosophy and Science in Honor of Herbert Feigl. University of Minnesota Press. pp. 184-248.
     
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  45.  8
    The Degradation of Ethics Through the Holocaust.Paul E. Wilson - 2023 - Springer Nature Switzerland.
    This book discusses ethical behavior through the genocidal stages of the Holocaust. Paul E. Wilson first looks at the antisemitism in Germany and Europe beginning in the decades preceding the Nazis reign of terror, and goes on to discuss the ethical decisions made in the initial stages that moved society toward genocide. The author maintains that the stages of genocide represent subtle changes that can be happening within a society in response to the moral choices made by actors. By (...)
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  46. The concept of emergence.Paul E. Meehl & Wilfrid S. Sellars - 1956 - In Herbert Feigl & Michael Scriven (eds.), Minnesota Studies in the Philosophy of Science. , Vol. pp. 239--252.
  47. Comte et Saint-Simon.Paul Émile] Dubuisson - 1906 - Paris,: Au siège de la Société positiviste internationale.
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  48. What Emotions Really Are: The Problem of Psychological Categories.Paul E. Griffiths - 1997 - University of Chicago Press.
    Paul E. Griffiths argues that most research on the emotions has been as misguided as Aristotelian efforts to study "superlunary objects" - objects...
  49. La finalité de fait en biologie.Paul Émile Pilet - 1963 - Torino,: Edizioni di filosofia.
     
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  50. After Physicalism.Benedikt Paul Göcke (ed.) - 2012 - The University of Notre Dame Press.
    Although physicalism has been the dominant position in recent work in the philosophy of mind, this dominance has not prevented a small but growing number of philosophers from arguing that physicalism is untenable for several reasons: both ontologically and epistemologically it cannot reduce mentality to the realm of the physical, and its attempts to reduce subjectivity to objectivity have thoroughly failed. The contributors to After Physicalism provide powerful alternatives to the physicalist account of the human mind from a dualistic point (...)
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