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  1. Ignacio Angelelli, Robert Bull, Jean E. Rubin, F. Gonzalez Asenjo, John Thomas Canty, Luis Elpidio Sanchis, Nuel D. Belnap, George Goe, Wilson E. Singletary & Ivan Boh (2010). Introduction to the Fiftieth Anniversary Issues. Notre Dame Journal of Formal Logic 51 (1).
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  2. 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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  3. 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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  4. 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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  5. 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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  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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  7. 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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  8. 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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  9. 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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  10. Arthur L. Rubin & Jean E. Rubin (1993). Weak Forms of the Axiom of Choice and the Generalized Continuum Hypothesis. Mathematical Logic Quarterly 39 (1):7-22.
    In this paper we study some statements similar to the Partition Principle and the Trichotomy. We prove some relationships between these statements, the Axiom of Choice, and the Generalized Continuum Hypothesis. We also prove some independence results. MSC: 03E25, 03E50, 04A25, 04A50.
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  11. Jean E. Rubin (1984). Review: Gregory H. Moore, Zermelo's Axiom of Choice. Its Origins, Development, and Influence. [REVIEW] Journal of Symbolic Logic 49 (2):659-660.
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  12. 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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  13. Judith M. Harper & Jean E. Rubin (1977). Variations of Zorn's Lemma, Principles of Cofinality, and Hausdorff's Maximal Principle. II. Class Forms. Notre Dame Journal of Formal Logic 18 (1):151-163.
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  14. Judith M. Harper & Jean E. Rubin (1976). Variations of Zorn's Lemma, Principles of Cofinality, and Hausdorff's Maximal Principle. I. Set Forms. Notre Dame Journal of Formal Logic 17 (4):565-588.
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  15. Arthur L. Rubin & Jean E. Rubin (1974). The Cardinality of the Set of Dedekind Finite Cardinals in Fraenkel-Mostowski Models. Zeitschrift fur mathematische Logik und Grundlagen der Mathematik 20 (31-33):517-528.
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  16. Jean E. Rubin (1971). Review: Th. Skolem, Two Remarks on Set Theory; John H. Harris, On a Problem of Th. Skolem. [REVIEW] Journal of Symbolic Logic 36 (4):680-680.
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  17. Jean E. Rubin (1970). Review: Waclaw Sierpinski, L'axiome du Choix. [REVIEW] Journal of Symbolic Logic 35 (1):148-148.
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  18. Jean E. Rubin (1963). Several Relations on the Class of Ordinal Numbers. Mathematical Logic Quarterly 9 (23):351-357.
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  19. Jean E. Rubin (1962). BI‐Modal Logic, Double‐Closure Algebras, and Hilbert Space. Mathematical Logic Quarterly 8 (3‐4):305-322.
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