Search results for 'Paul E. Howard' (try it on Scholar)

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  1. Paul E. Howard (1990). Definitions of Compact. Journal of Symbolic Logic 55 (2):645-655.
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  2.  14
    Paul E. Howard (1972). A Proof of a Theorem of Tennenbaum. Zeitschrift fur mathematische Logik und Grundlagen der Mathematik 18 (7):111-112.
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  3.  14
    Paul E. Howard (1984). Rado's Selection Lemma Does Not Imply the Boolean Prime Ideal Theorem. Zeitschrift fur mathematische Logik und Grundlagen der Mathematik 30 (9-11):129-132.
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  4.  12
    Paul E. Howard (1987). The Existence of Level Sets in a Free Group Implies the Axiom of Choice. Zeitschrift fur mathematische Logik und Grundlagen der Mathematik 33 (4):315-316.
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  5. J. W. Addison, Leon Henkin, Alfred Tarski & Paul E. Howard (1975). The Fraenkel-Mostowski Method for Independence Proofs in Set Theory. Journal of Symbolic Logic 40 (4):631-631.
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  6.  6
    Paul E. Howard (1992). The Axiom of Choice for Countable Collections of Countable Sets Does Not Imply the Countable Union Theorem. Notre Dame Journal of Formal Logic 33 (2):236-243.
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  7.  9
    Paul E. Howard (1973). Limitations on the Fraenkel-Mostowski Method of Independence Proofs. 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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  8.  16
    Paul E. Howard (1985). Subgroups of a Free Group and the Axiom of Choice. Journal of Symbolic Logic 50 (2):458-467.
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  9.  2
    Paul E. Howard (1984). Rado's Selection Lemma Does Not Imply the Boolean Prime Ideal Theorem. Mathematical Logic Quarterly 30 (9‐11):129-132.
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  10.  21
    Paul E. Howard, Arthur L. Rubin & Jean E. Rubin (1978). Independence Results for Class Forms of the Axiom of Choice. 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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  11.  5
    Paul E. Howard & Mary Yorke (1987). Maximal $P$-Subgroups and the Axiom of Choice. Notre Dame Journal of Formal Logic 28 (2):276-283.
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  12.  2
    Paul E. Howard (1987). The Existence of Level Sets in a Free Group Implies the Axiom of Choice. Mathematical Logic Quarterly 33 (4):315-316.
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  13.  1
    Paul E. Howard (1972). A Proof of a Theorem of Tennenbaum. Mathematical Logic Quarterly 18 (7):111-112.
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  14. Omar De la Cruz, Eric Hall, Paul Howard, Jean E. Rubin & Adrienne Stanley (2002). Definitions of Compactness and the Axiom of Choice. 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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  15.  26
    O. De la Cruz, Paul Howard & E. Hall (2002). Products of Compact Spaces and the Axiom of Choice. 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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  16.  9
    Omar De la Cruz, Eric Hall, Paul Howard, Kyriakos Keremedis & Jean E. Rubin (2003). Metric Spaces and the Axiom of Choice. 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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  17.  13
    Omar De la Cruz, Eric Hall, Paul Howard, Kyriakos Keremedis & Jean E. Rubin (2003). Products of Compact Spaces and the Axiom of Choice II. 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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  18.  14
    J. E. Rubin, K. Keremedis & Paul Howard (2001). Non-Constructive Properties of the Real Numbers. 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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  19.  4
    Paul Howard, K. Keremedis & J. E. Rubin (2000). Compactness in Countable Tychonoff Products and Choice. 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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  20.  12
    Omar De la Cruz, Eric J. Hall, Paul Howard, Kyriakos Keremedis & Jean E. Rubin (2008). Unions and the Axiom of Choice. 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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  21.  6
    Paul Howard, Kyriakos Keremedis, Herman Rubin & Jean E. Rubin (1998). Disjoint Unions of Topological Spaces and Choice. 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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  22.  9
    Paul Howard, Kyriakos Keremedis, Herman Rubin & Jean E. Rubin (1998). Versions of Normality and Some Weak Forms of the Axiom of Choice. 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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  23.  7
    Paul Howard, J. E. Rubin & A. Stanley (2000). Von Rimscha's Transitivity Conditions. 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.  6
    Paul Howard & Jean E. Rubin (1996). The Boolean Prime Ideal Theorem Plus Countable Choice Do Not Imply Dependent Choice. 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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  25.  4
    Paul Howard, K. Keremedis & J. E. Rubin (2000). Paracompactness of Metric Spaces and the Axiom of Multiple Choice. 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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  26.  18
    Paul Howard & Jean E. Rubin (1995). The Axiom of Choice for Well-Ordered Families and for Families of Well- Orderable Sets. 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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  27.  1
    F. Edward Cranz, Ruth J. Dean, Robert M. Lumiansky, Paul Oskar Kristeller, Franz Rosenthal, Kenneth M. Setton, Joseph R. Strayer, Robert S. Lopez, Edward Grant, Astrik L. Gabriel, Fred C. Robinson, William J. Courtenay, Donald R. Howard, Robert E. Kaske, Joan M. Ferrante, Walter Goffart, Paul Meyvaert & Giles Constable (1986). Memoirs of Fellows and Corresponding Fellows of the Medieval Academy of America. Speculum 61 (3):759-769.
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  28.  1
    David Pincus (1975). Review: Azriel Levy, J. W. Addison, Leon Henkin, Alfred Tarski, The Fraenkel-Mostowski Method for Independence Proofs in Set Theory; Paul E. Howard, Limitations on the Fraenkel-Mostowski Method of Independence Proofs. [REVIEW] Journal of Symbolic Logic 40 (4):631-631.
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  29. David Pincus (1975). Lévy Azriel. The Fraenkel-Moslowski Method for Independence Proofs in Set Theory. The Theory of Models, Proceedings of the 1963 International Symposium at Berkeley, Edited by Addison J. W., Leon Henkin, and Alfred Tarski, Studies in Logic and the Foundations of Mathematics, North-Holland Publishing Company, Amsterdam 1965, Pp. 221–228.Howard Paul E.. Limitations on the Fraenkel-Mostowski Method of Independence Proofs. [REVIEW] Journal of Symbolic Logic 40 (4):631.
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  30.  4
    Y. Du, X. Chen, X. Wei, K. R. Bales, D. T. Berg, S. M. Paul, M. R. Farlow, B. Maloney, Y. W. Ge & D. K. Lahiri (2005). NF-B Mediates Amyloid Beta Peptide-Stimulated Activity of the Human Apolipoprotein E Gene Promoter in Human Astroglial Cells. Brain Res Mol Brain Res 136:177-88.
    The apolipoprotein E gene plays an important role in the pathogenesis of Alzheimer's disease , and amyloid plaque comprised mostly of the amyloid-beta peptide ) is one of the major hallmarks of AD. However, the relationship between these two important molecules is poorly understood. We examined how A treatment affects APOE expression in cultured cells and tested the role of the transcription factor NF-B in APOE gene regulation. To delineate NF-B's role, we have characterized a 1098 nucleotide segment containing the (...)
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  31.  4
    Andreas Blass (2005). Howard Paul and Rubin Jean E.. Consequences of the Axiom of Choice, Mathematical Surveys and Monographs, Vol. 59. American Mathematical Society, Providence, RI, 1998, Viii+ 432 Pp. [REVIEW] Bulletin of Symbolic Logic 11 (1):61-63.
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  32. W. Cannon (1976). Darwin on Man by Howard E. Gruber; Paul H. Barrett; Howard Gruber; Paul Barrett. [REVIEW] Isis: A Journal of the History of Science 67:139-141.
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  33. W. F. Cannon (1976). Darwin on ManHoward E. Gruber Paul H. Barrett Howard Gruber Paul Barrett. Isis 67 (1):139-141.
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  34.  12
    Dick Howard (1993). O Legado Marxiano E o Problema da Democracia. Trans/Form/Ação 16:101-116.
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  35. Nigel Howard (1980). ULLMAN-MARGALIT, E.: "The Emergence of Norms". [REVIEW] British Journal for the Philosophy of Science 31:199.
     
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  36.  13
    S. E. (1907). Ancient Sculpture and Painting (a) Brunn-Biruckmann's Denkmäkr Griechischer und Romischer Sculptur, fortgeführt und tnit erläuternden Texten versehen von Paul Arndt. Plates 501–600. Munich : F. Bruckmann, 1902–1906. (b) Denkmäler der Malerei des Altertums, herausgegeben von Paul Herrmann. Munich: F. Bruckmann, 1907. Each part M. 20. [REVIEW] The Classical Review 21 (05):145-148.
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  37.  13
    G. M. Paul (1989). Two Readings of Sallust Thomas F. Scanlon: Spes Frustrata: A Reading of Sallust. Pp. 120. Heidelberg: Carl Winter, 1987. Paper, DM 25. Giovanni Cipriani: Sallustio E L'Immaginario: Per Una Biografia Eroica di Giugurta. (Studi E Commenti, 6.) Pp. 125. Bari: Adriatica Editrice, 1988. Paper, L. 22,000. [REVIEW] The Classical Review 39 (02):233-234.
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  38.  7
    Dick Howard (2007). The Use and Abuse of Democracy: Paul Berman's Generational Bildungsroman. Constellations 14 (3):445-453.
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  39.  2
    W. A. Howard (1991). Girard Jean-Yves, Taylor Paul, and LaFont Yves. Proofs and Types. Cambridge Tracts in Theoretical Computer Science, No. 7. Cambridge University Press, Cambridge Etc. 1989, Xi+ 176 Pp. [REVIEW] Journal of Symbolic Logic 56 (2):760-761.
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  40.  2
    W. A. Howard (1991). Review: Jean-Yves Girard, Paul Taylor, Yves Lafont, Proofs and Types. [REVIEW] Journal of Symbolic Logic 56 (2):760-761.
  41.  2
    Maurice Howard (1991). Stanford E. Lehmberg, The Reformation of Cathedrals: Cathedrals in English Society, 1485–1603. Princeton: Princeton University Press, 1989. Pp. Xv, 319; Frontispiece Map, 42 Black-and-White Plates, 38 Tables. $49.95. [REVIEW] Speculum 66 (1):190-192.
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  42.  3
    Joanna Paul (2009). Reception and History of Scholarship (B.) Graziosi and (E.) Greenwood Eds Homer in the Twentieth Century: Between World Literature and the Western Canon. Oxford: Oxford University Press, 2007. Pp. Xiv + 322. £55. 9780199298266. [REVIEW] Journal of Hellenic Studies 129:262-.
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  43.  1
    William A. Howard (1974). Review: R. E. Vesley, A. Kino, J. Myhill, A Palatable Substitute for Kripke's Schema. [REVIEW] Journal of Symbolic Logic 39 (2):334-334.
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  44. A. R. E. (1967). Commentary on Saint Paul's Epistle to the Galatians. [REVIEW] Review of Metaphysics 21 (1):152-152.
  45. G. E. G. E. (1957). Paul Vernière. [REVIEW] Giornale Critico Della Filosofia Italiana 11:267.
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  46. William A. Howard (1974). Vesley R. E.. A Palatable Substitute for Kripke's Schema. Intuitionism and Proof Theory, Proceedings of the Summer Conference at Buffalo N.Y. 1968, Edited by Kino A., Myhill J., and Vesley R. E., Studies in Logic and the Foundations of Mathematics, North-Holland Publishing Company, Amsterdam and London 1970, Pp. 197–207. [REVIEW] Journal of Symbolic Logic 39 (2):334.
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  47. A. Paul (2002). Bulletin du Judaisme Ancien (1^ R^ E Partie) I-Cadre Historique Social Et Culturel II-Manuscrits Et Communaute de Qumran III-Litterature Juive de Langue Grecque. Recherches de Science Religieuse 90 (3):423-460.
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  48. G. Paul (1971). Nicola M. De Feo: Prassi e scienza sociale. [REVIEW] Deutsche Zeitschrift für Philosophie 19 (6):814.
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  49.  5
    J. E. Llewelyn, Ludwig Wittgenstein, G. E. M. Anscombe, G. H. von Wright & Denis Paul (1971). On Certainty. Philosophical Quarterly 21 (82):80.
    Written over the last 18 months of his life and inspired by his interest in G. E. Moore's defence of common sense, this much discussed volume collects Wittgenstein's reflections on knowledge and certainty, on what it is to know a proposition for sure.
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  50. M. Mendl & E. S. Paul (2004). Consciousness, Emotion and Animal Welfare: Insights From Cognitive Science. Animal Welfare 13:17- 25.
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