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Patrick J. Ryan [9]Patrick James Ryan [1]
  1. Szemerédi’s theorem: An exploration of impurity, explanation, and content.Patrick J. Ryan - 2023 - Review of Symbolic Logic 16 (3):700-739.
    In this paper I argue for an association between impurity and explanatory power in contemporary mathematics. This proposal is defended against the ancient and influential idea that purity and explanation go hand-in-hand (Aristotle, Bolzano) and recent suggestions that purity/impurity ascriptions and explanatory power are more or less distinct (Section 1). This is done by analyzing a central and deep result of additive number theory, Szemerédi’s theorem, and various of its proofs (Section 2). In particular, I focus upon the radically impure (...)
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  2. Cosmic Topology, Underdetermination, and Spatial Infinity.Patrick James Ryan - 2024 - European Journal for Philosophy of Science 14 (17):1-28.
    It is well-known that the global structure of every space-time model for relativistic cosmology is observationally underdetermined. In order to alleviate the severity of this underdetermination, it has been proposed that we adopt the Cosmological Principle because the Principle restricts our attention to a distinguished class of space-time models (spatially homogeneous and isotropic models). I argue that, even assuming the Cosmological Principle, the topology of space remains observationally underdetermined. Nonetheless, I argue that we can muster reasons to prefer various topological (...)
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  3.  41
    Gaps Between Zeros of GL(2) L-functions.Patrick J. Ryan, Owen Barrett, Brian McDonald, Steven J. Miller, Caroline L. Turnage-Butterbaugh & Karl Winsor - 2015 - Journal of Mathematical Analysis and Applications 429 (1):204-232.
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  4.  40
    Human Males Appear More Prepared Than Females to Resolve Conflicts with Same-Sex Peers.Joyce F. Benenson, Melissa N. Kuhn, Patrick J. Ryan, Anthony J. Ferranti, Rose Blondin, Michael Shea, Chalice Charpentier, Melissa Emery Thompson & Richard W. Wrangham - 2014 - Human Nature 25 (2):251-268.
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  5.  22
    The Implications of Stakeholder Statutes for Socially Responsible Managers.Michael Jay Polonsky & Patrick J. Ryan - 1996 - Business and Professional Ethics Journal 15 (3):3-36.
  6.  42
    Holy War.Patrick J. Ryan - 1983 - Thought: Fordham University Quarterly 58 (2):133-144.
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    Holy War.Patrick J. Ryan - 1983 - Thought: Fordham University Quarterly 58 (2):133-144.
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  8.  9
    The Structure of the Church and the Function of the Hierarchy according to St. Bernardine of Siena.Patrick J. Ryan - 1970 - Franciscan Studies 30 (1):141-180.
  9.  18
    Cultural Universals and Particulars. [REVIEW]Patrick J. Ryan - 1998 - International Philosophical Quarterly 38 (4):443-445.
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  10.  5
    Islam and Christianity Today. [REVIEW]Patrick J. Ryan - 1985 - International Philosophical Quarterly 25 (2):222-223.
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