Journal of the ACMS

Journal of the ACMS ACMS homepage Journal of the ACMS homepage Issues 2004 Inaugural Issue 2005 Issue 2006 Issue 2007 Issue 2008–2009 Issue 2010–2011 Issue 2012–2013 Issue 2014–2015 Issue Cumulative Indices by Author by Title by Topic Letter from the Editor

2004 Issue Letter from the Editor Selection from The Proceedings of the ACMS Articles Educational Materials Book Reviews Selections from the Proceedings Indexed by year Indexed by topic Indexed by author Index by Year 1977 Robert Brabenec, The Historical Shaping of the Foundations of Mathematics Charles Hampton, Epistemology to Ontology Arthur Holmes, Wanted: Christian Perspectives in the Philosophy of Mathematics Terence Perciante, Recent Problems in the Foundations of Mathematics Joseph Spradley, Recent Parallels Between the Philosophy of Science and Mathematics 1979 Paul Zwier, Making Curriculum Decisions and the Nature of Mathematics 1981 Lloyd Montzingo, Random Variables and a Sovereign God Vernon Poythress, Science as Allegory Vernon Poythress, Mathematics as Rhyme 1983 Paul Zwier, A Comparative Study of Christian Mathematical Realism and its Humanistic Alternatives 1987 Michael Detlefsen, Proof and Intuition 1989 Thomas Banchoff, The Fourth Dimension and the Theology of Edwin Abbott Abbott Paul Zwier, Augustine's Mathematical Realism 1993 Joseph Dauben, Georg Cantor and the Battle for Transfinite Set Theory 1995 Ron Benbow, Mathematical and Theological Beliefs: A Cognitive Science Perspective Johan deKlerk, Mathematics from the Viewpoint of Science in Context 1997 Richard Stout, Mathematics at Chartres Cathedral Michael Veatch, Mathematics and Values: Can Philosophy Guide Projects? 1999 Johan deKlerk, Can Mathematics be Taught in a Christian Way? David Neuhouser, Lewis Carroll: Author, Mathematician, and Christian David Stucki, The Deconstruction of Mathematics 2001 John Byl, Theism and Mathematical Realism William Dembski, Why Natural Selection Can't Design Anything David Stucki, Mathematics as Worship 2003 Johan deKlerk, A Christian Perspective on Mathematics - History of Mathematics and Study Guides David Neuhouser, Mathematics, Science, and George MacDonald Scott Taylor, Mathematics and the Love of God: An Introduction to the Thought of Simone Weil Jonathan Zderad, Creationism - A Viable Philosophy of Mathematics Index by Topic Genesis of the ACMS Robert Brabenec, The Historical Shaping of the Foundations of Mathematics, 1977. Philosophical topics Introduction Arthur Holmes, Wanted: Christian Perspectives in the Philosophy of Mathematics, 1977. Classical issues in the philosophy of mathematics Terrence Perciante, Recent Problems in the Foundations of Mathematics, 1977. Michael Detlefsen, Proof and Intuition, 1987. Realism Paul Zwier, A Comparative Study of Christian Mathematical Realism and its Humanistic Alternatives, 1983. Paul Zwier, Augustine's Mathematical Realism, 1989. John Byl, Theism and Mathematical Realism, 2001. Jonathan Zderad, Creationism - A Viable Philosophy of Mathematics, 2003. Axiology Michael Veatch, Mathematics and Values: Can Philosophy Guide Projects?, 1997. Contextual issues Vernon Poythress, Science as Allegory, 1981. Vernon Poythress, Mathematics as Rhyme, 1981. Ron Benbow, Mathematical and Theological Beliefs: A Cognitive Science Perspective, 1995. Mathematics and the physical world William Dembski, Why Natural Selection Can't Design Anything, 2001. Education Paul Zwier, Making Curriculum Decisions and the Nature of Mathematics, 1979. Johan deKlerk, Mathematics from the Viewpoint of Science in Context, 1995. Johan deKlerk, Can Mathematics be Taught in a Christian Way?, 1999. Johan deKlerk, A Christian Perspective on Mathematics - History of Mathematics and Study Guides, 2003. Probability and Statistics Lloyd Montzingo, Random Variables and a Sovereign God, 1981. Postmodernism David Stucki, The Deconstruction of Mathematics, 1999. Relationship to literature and the arts Thomas Banchoff, The Fourth Dimension and the Theology of Edwin Abbott Abbott, 1989. Richard Stout, Mathematics at Chartres Cathedral, 1997. David Neuhouser, Lewis Carroll: Author, Mathematician, and Christian, 1999. David Neuhouser, Mathematics, Science, and George MacDonald, 2003. Scott Taylor, Mathematics and the Love of God: An Introduction to the Thought of Simone Weil, 2003. Infinity Joseph Dauben, Georg Cantor and the Battle for Transfinite Set Theory, 1993. Relationship to worship David Stucki, Mathematics as Worship, 2001. Index by Author Thomas Banchoff, The Fourth Dimension and the Theology of Edwin Abbott Abbott, 1989 Ron Benbow, Mathematical and Theological Beliefs: A Cognitive Science Perspective, 1995 Robert Brabenec, The Historical Shaping of the Foundations of Mathematics, 1977 John Byl, Theism and Mathematical Realism, 2001 Joseph Dauben, Georg Cantor and the Battle for Transfinite Set Theory, 1993 Johan deKlerk, Mathematics from the Viewpoint of Science in Context, 1995 Johan deKlerk, Can Mathematics be Taught in a Christian Way? , 1999 Johan deKlerk, A Christian Perspective on Mathematics - History of Mathematics and Study Guides, 2003 William Dembski, Why  Natural Selection Can't Design Anything, 2001 Michael Detlefsen, Proof and Intuition, 1987 Charles Hampton, Epistemology to Ontology,1977 Arthur Holmes, Wanted: Christian Perspectives in the Philosophy of Mathematics, 1977 Lloyd Montzingo, Random Variables and a Sovereign God, 1981 David Neuhouser, Lewis Carroll: Author, Mathematician, and Christian, 1999 David Neuhouser, Mathematics, Science, and George MacDonald, 2003 Terence Perciante, Recent Problems in the Foundations of Mathematics, 1977 Vernon Poythress, Science as Allegory, 1981 Vernon Poythress, Mathematics as Rhyme, 1981 Joseph Spradley, Recent Parallels Between the Philosophy of Science and Mathematics, 1977 Richard Stout, Mathematics at Chartres Cathedral, 1997 David Stucki, The Deconstruction of Mathematics, 1999 David Stucki, Mathematics as Worship, 2001 Scott Taylor, Mathematics and the Love of God: An Introduction to the Thought of Simone Weil, 2003 Michael Veatch, Mathematics and Values: Can Philosophy Guide Projects?, 1997 Jonathan Zderad, Creationism - A Viable Philosophy of Mathematics, 2003 Paul Zwier, Making Curriculum Decisions and the Nature of Mathematics, 1979 Paul Zwier, A Comparative Study of Christian Mathematical Realism and its Humanistic Alternatives, 1983 Paul Zwier, Augustine's Mathematical Realism, 1989 Articles The Philosophy of the Law Idea and the Role of the Prescientific in Statistical Inference Andrew M. Hartley, UCB Pharma, Inc. December 2004 Abstract:The "Philosophy of the Law Idea" (PLI), developed by reformed thinkers in the Netherlands, argues that "prescientific" human experience, in which each created thing displays simultaneously a plurality of mutually cohering aspects (quantitative, biological, logical, aesthetic, fiduciary, . . .), forms a necessary foundation for scientific theorizing. Each science focuses on relatively few aspects; it must enhance prescientific experience, but cannot replace that experience. This essay contends that the PLI's conception of scientific-prescientific carries implications for Bayesian and frequentist statistical paradigms. In particular, subjective Bayesianism identifies limitations on beliefs, by enhancing scientifically a prescientific base. Frequentism, in contrast, either disqualifies prescientific beliefs or combines them with mathematical outcomes in arbitrary ways. Thus, this article claims, subjective Bayesianism seems comparatively consistent with the PLI. Educational Materials This page presents materials designed to assist instructors in the integration of faith and learning in their classrooms. Permission is granted for unlimited copying for educational purposes. Two Ways of Knowing James Bradley, Calvin College August 2004 Abstract: This paper contrasts statistics and faith as means of acquiring knowledge.  It argues that both are legitimate ways of knowing but based on different sources, different purposes, and yielding different types of knowledge.  They normally complement each other well; however, they may conflict.  It concludes with a discussion of some guiding principles for this situation.  The paper was written to facilitate the integration of faith and learning in an introductory, non-calculus based statistics course. Book Reviews