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Lawrence J. Welch [5]Lawrence Welch [5]Lawrence V. Welch [1]
  1.  7
    Point-free topological spaces, functions and recursive points; filter foundation for recursive analysis. I.Iraj Kalantari & Lawrence Welch - 1998 - Annals of Pure and Applied Logic 93 (1-3):125-151.
    In this paper we develop a point-free approach to the study of topological spaces and functions on them, establish platforms for both and present some findings on recursive points. In the first sections of the paper, we obtain conditions under which our approach leads to the generation of ideal objects with which mathematicians work. Next, we apply the effective version of our approach to the real numbers, and make exact connections to the classical approach to recursive reals. In the succeeding (...)
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  2.  5
    Recursive and nonextendible functions over the reals; filter foundation for recursive analysis.II.Iraj Kalantari & Lawrence Welch - 1999 - Annals of Pure and Applied Logic 98 (1-3):87-110.
    In this paper we continue our work of Kalantari and Welch . There we introduced machinery to produce a point-free approach to points and functions on topological spaces and found conditions for both which lend themselves to effectivization. While we studied recursive points in that paper, here, we present two useful classes of recursive functions on topological spaces, apply them to the reals, and find precise accounting for the nature of the properties of some examples that exist in the literature. (...)
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  3. Revelation, Natural Law, and Homosexual Unions.Guy Mansini & Lawrence Welch - 2004 - Nova et Vetera 2:337-366.
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  4.  3
    A hierarchy of families of recursively enumerable degrees.Lawrence V. Welch - 1984 - Journal of Symbolic Logic 49 (4):1160-1170.
  5. For the Church and within the Church: Priestly representation.Lawrence J. Welch - 2001 - The Thomist 65 (4):613-637.
     
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  6. The Call for New Theological Reflection on the Sacramental Character of Marriage and the Thought of St. Thomas.Lawrence J. Welch - 2023 - Nova et Vetera 21 (3):845-887.
    In lieu of an abstract, here is a brief excerpt of the content:The Call for New Theological Reflection on the Sacramental Character of Marriage and the Thought of St. ThomasLawrence J. WelchTheologians across the theological spectrum have called attention to the urgent need for a new reflection on the theological and sacramental character of marriage. Peter Hünermann, known for his strong criticism of magisterial teachings on marriage, and the late Cardinal Carlo Caffarra, known for his equally strong defense of them, (...)
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  7.  6
    The infallibility of the ordinary universal magisterium: A critique of some recent observations.Lawrence J. Welch - 1998 - Heythrop Journal 39 (1):18–36.
    This teaching of Vatican II raises the problem of how to know when the ordinary universal magisterium has proposed some doctrine as definitive. Fr. Francis A. Sullivan has put forth some principles that he claims are important for establishing that a doctrine has been definitively taught. Key to Sullivan’s principles is the claim that the constant consensus of theologians is a sign and a necessary condition for establishing whether the ordinary universal magisterium has taught a particular doctrine as definitive. This (...)
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  8. Reflections on Presbyterorum Ordinis.Lawrence Welch & Guy Mansini - 2007 - Nova et Vetera 5:765-788.
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