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  1. John Corcoran & William Frank (2014). COSMIC JUSTICE HYPOTHESES. Bulletin of Symbolic Logic 20:247-248.
    Cosmic Justice Hypotheses. -/- This applied-logic lecture builds on [1] arguing that character traits fostered by logic serve clarity and understanding in ethics, confirming hopeful views of Alfred Tarski [2, Preface, and personal communication]. Hypotheses in one strict usage are propositions not known to be true and not known to be false or—more loosely—propositions so considered for discussion purposes [1, p. 38]. Logic studies hypotheses by determining their implications (propositions they imply) and their implicants (propositions that imply them). Logic also (...)
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  2. John Corcoran & William Frank (2013). SURPRISES IN LOGIC. Bulletin of Symbolic Logic 19:253.
    JOHN CORCORAN AND WILIAM FRANK. Surprises in logic. Bulletin of Symbolic Logic. 19 (2013) 253. Some people, not just beginning students, are at first surprised to learn that the proposition “If zero is odd, then zero is not odd” is not self-contradictory. Some people are surprised to find out that there are logically equivalent false universal propositions that have no counterexamples in common, i. e., that no counterexample for one is a counterexample for the other. Some people would be surprised (...)
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  3. William A. Frank (2012). Postmodernism & Cultural Identities. Review of Metaphysics 65 (2):437-439.
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  4. William A. Frank (2008). From the Nature of Mind to Personal Dignity. American Catholic Philosophical Quarterly 81 (4):669 - 671.
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  5. William A. Frank (2007). Authority and the Common Good in Democratic Governance. Review of Metaphysics 60 (4):813-832.
  6. William A. Frank (2007). A Philosophy of Hope. Review of Metaphysics 60 (3):689-691.
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  7. William A. Frank (2007). From the Nature of Mind to Personal Dignity: The Significance of Rosmini's Philosophy. American Catholic Philosophical Quarterly 81 (4):669-671.
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  8. William A. Frank (2007). Hyacinth Gerdi''s Anti-Emile: A Prophetic Moment in the Philosophy of Education. Review of Metaphysics 61 (2):237-261.
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  9. William A. Frank (2006). The Cambridge Companion to Duns Scotus. American Catholic Philosophical Quarterly 80 (1):146-150.
  10. William A. Frank (2004). Western Irreligion and Resources for Culture in Catholic Religion. Logos 7 (1).
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  11. William A. Frank (1998). Karol Wojtyla. The Thought of the Man Who Became Pope John Paul II. Review of Metaphysics 51 (3):662-665.
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  12. William A. Frank (1992). Duns Scotus on Autonomous Freedom and Divine Co-Causality. Medieval Philosophy and Theology 2:142-164.
  13. William A. Frank (1989). William Ockham. Review of Metaphysics 42 (4):817-818.
  14. William A. Frank (1987). Duns Scotus on the Will and Morality. Review of Metaphysics 41 (1):131-133.
  15. William A. Frank (1985). The Return to Cosmology. Review of Metaphysics 38 (3):695-697.
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  16. Allan Bernard Wolter, William A. Frank & Girard J. Etzkorn (eds.) (1985). Essays Honoring Allan B. Wolter. Franciscan Institute.
     
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  17. William A. Frank (1984). A Treatise on God as First Principle. Review of Metaphysics 38 (1):149-151.
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  18. William A. Frank (1984). Portraying Analogy. Review of Metaphysics 38 (2):401-404.
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  19. William A. Frank (1982). Duns Scotus' Concept of Willing Freely: What Divine Freedom Beyond Choice Teaches Us. Franciscan Studies 42 (1):68-89.
  20. William Frank (1976). A Note on the Adequacy of Translations. Notre Dame Journal of Formal Logic 17 (2):249-250.
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  21. John Corcoran, William Frank & Michael Maloney (1974). String Theory. Journal of Symbolic Logic 39 (4):625-637.
    For each positive n , two alternative axiomatizations of the theory of strings over n alphabetic characters are presented. One class of axiomatizations derives from Tarski's system of the Wahrheitsbegriff and uses the n characters and concatenation as primitives. The other class involves using n character-prefixing operators as primitives and derives from Hermes' Semiotik. All underlying logics are second order. It is shown that, for each n, the two theories are definitionally equivalent [or synonymous in the sense of deBouvere]. It (...)
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