1st October 2011 | Draft

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This document serves as the bibliographic annex to the proposal for an *International Institute of Advanced Studies in Mathematical Theology *(2011) but also includes other references to assist further exploration of the theme.

Wolfgang Achtner:

- Infinity in Science and Religion: the creative role of thinking about infinity.
*Neue Zeitschrift für Systematische Theologie und Religionsphilosophie*, 47, 2005, 4 - Truth and Proof in Mathematics and (Philosophical) Theology).
*Theology and Science*, 9, 1, 2011, pp. 45-90 [abstract]

Mathias Albert, David Jacobson and Yosef Lapid (Eds.). Identities, Borders, Orders: rethinking international relations theory. University of Minnesota Press, 2001

Christopher Alexander:

- Notes on the Synthesis of Form. 1964 [summary]
- The Nature of Order: an essay on the art of building and the nature of the universe. Center for Environmental Structure, 2003-4. [summary]
- New Concepts in Complexity Theory: an overview of the four books of the Nature of Order with emphasis on the scientific problems which are raised. 2003 [text]
- Harmony-Seeking Computations: a science of non-classical dynamics based on the progressive evolution of the larger whole.
*International Journal for Unconventional Computing (IJUC)*, 5, 2009 [text]

Ron Atkin:

- Mathematical Structure in Human Affairs. Heinemann, 1974.
- Multidimensional Man; can man live in 3-dimensional space? Penguin, 1981 [summary]
- Combinatorial Connectivities in Social Systems; an application of simplicial complex structures to the study of large organizations. Birkhauser, 1977

Andrew T. Barker. On Integration of Faith and Learning in Mathematics. 2004 [text]

John D. Barrow. between Inner Space and Outer Space. Oxford University Press, 1999

Gregory Bateson. Mind and Nature: a necessary unity. Hampton Press, 1979

Gregory Bateson with Mary Catherine Bateson. Angels Fear: towards an epistemology of the sacred. Hampton Press, 1987 [summary]

Mary Catherine Bateson. Our Own Metaphor: a personal account of a conference on the effects of conscious purpose on human adaptation. Knopf, 1972

Stafford Beer. Beyond Dispute: the invention of team syntegrity. Wiley, 1994 [summary]

Dallas F. Bell, Jr. Beginning Data Mining for Mathematical Theology, Epistemology, Psychology, Sociology and Eschatology in Information Operations: disinformation, syndromic surveillance, and the bless/curse paradigms. *Systematic Political Science*, 2007 [text]

Jose Bernadete. Infinity: an essay in metaphysics. Clarendon Press, 1964

Steve Bishop (Comp.). Resources for a Christian approach to maths and maths education. *All of Life Redeemed* [text]

Steve Bishop:

- Beliefs shapes mathematics.
*Spectrum*, 28 (2) (Spring 1996) [text] - Mathematics and the myth of neutrality.
*Christian School Education*, 5 (4) (2001-2002): pp. 19-21 [text]

David Bohm:

- Wholeness and the Implicate Order. Routledge, 1980 [summary]
- Changing Consciousness: exploring the hidden source of the social, political and environmental crises facing our world. Harper San Francisco, 1991
- On Dialogue. Routledge, 1996
- Limits of Thought: Discussions, with Jiddu Krishnamurti. Routledge, 1999

Sjoerd L. Bonting:

- Chaos Theology: a revised creation theology. Novalis Press, 2002
- Chaos Theology: a new approach to the science-theology dialogue.
*Zygon: Journal of Religion and Science*, June 1999

Carlos R. Bovell. Two Examples of How the History of Mathematics Can Inform Theology. *Theology and Science*, 8, 1, February 2010, pp. 69-85 [abstract]

Robert L. Brabenec. A Christian Perspective on the Foundations of Mathematics. Wheaton College, 1977

James Bradley:

- Theology and Mathematics: an introduction.
*Theology and Science*, 9, 1, 2011, pp. 1-3 [text] - Theology and Mathematics: key themes and central historical figures.
*Theology and Science*, 9, 1, 2011, pp. 5-26 [abstract] - Two ways of knowing.
*Journal of the ACMS*, 2004, August [text] - Mathematics through the Eyes of Faith. Indiana Wesleyan University, 2011 [abstract]
- Teaching Mathematics from a Christian Perspective. ASCI World Report, 2011 [text]

Paul Budnik. What is and what will be: integrating spirituality and science [contents]

John Byl. The Divine Challenge: on Matter, Mind, Math and Meaning. Banner of Truth, 2004 [review]

Joseph Cambray and David H. Rosen. Synchronicity: nature and psyche in an interconnected universe. TAMU Press, 2009

Charlie Campbell. Scapegoat: a history of blaming other people. Duckworth, 2011

Jessica Carter. Ontology and Mathematical Practice.* Philosophia Mathematica*, 12 (3), October 2004

Gregory Chaitin. Metamaths: the quest for omega. Atlantic Books, 2005

Paul Kuk Won Chang. Metatheology: an academic core of Christian awakening, renewal, revival, evangelism and mission -- a comparative approach of synthetic theology to the Ancient Near East, the Old Testament and the language of the New Testament. AuthorHouse, 2005

Gene B. Chase and Calvin Jongsma. Bibliography of Christianity and Mathematics 1910-1983. Dort College, 1983

Andreas Christiansen. The Beauty and Spirituality of Mathematics: a review essay. *International Journal of Education and the Arts*, 2009 [text]

Peter T. Coleman:

- The Mathematics of Middle East Conflict and Peace.
*TheHuffingtonPost.com*, 1 July 2011 [text] - The Five Percent: finding solutions to seemingly impossible conflicts. PublicAffairs, 2011 [review]

John Cornwell. Nature's Imagination. Oxford University Press, 1995

Oliver D. Crisp and Michael C. Rea (Eds.). Analytic Theology: new essays in the philosophy of theology. Oxford University Press, 2009

Chester A. Crocker, Fen Osler Hampson and Pamela Aall (Eds.). Grasping the Nettle: analyzing cases of intractable conflict. United States Institute of Peace, 2005

Ubiratan D'Ambrosio. Peace, Social Justice and Ethnomathematics. TMME Monograph, Pontifícia Universidade Católica de São Paulo [text]

E. G. d'Aquili and A. B Newberg. The Mystical Mind: probing the biology of religious experience. Fortress Press, 1999

Joseph W. Dauben. Georg Cantor and Pope Leo XIII: mathematics, theology, and the infinite. *Journal of the History of Ideas*, 38, 1 (Jan. - Mar., 1977), pp. 85-108 [abstract]

Philip J. Davis. A Brief Look at Mathematics and Theology. *The Humanistic Mathematics Network Journal Online*, 27, 2004 [text]

Philip J. Davis and Reuben Hersh. The Mathematical Experience. Mariner, 1981

William A. Dembski and Robert J. Marks II. The Mathematical Foundations of Intelligent Design. 2006. [texts]

W. J. Eckerslyke. Theological Mathematics. *WikiInfo*, 11 January 2009 [text]

Lawrence Edwards. Projective Geometry. Floris Books, 2003

Paul Ernest. Values and the Social Responsibility of Mathematics. In: *Social Constructivism as a Philosophy of Mathematics*, SUNY Press, 1997

Edward Fackerell. The Relationship Between Mathematics and the Christian Faith. *Christian Teachers Journal*, 11, 2, May 2003 [text].

Joong Fang. The Illusory Infinite: a theology of mathematics. Paideia, 1976

Alexandre George (Ed.). Mathematics and Mind. Oxford University Press, 1994

Jennifer M. Gidley:

- The Evolution of Consciousness as a Planetary Imperative: An Integration of Integral Views.
*Integral Review: A Transdisciplinary and Transcultural Journal for New Thought, Research and Praxis*, 2007, I 5, p. 4-226 [text] - Evolving Education: a postformal-integral-planetary gaze at the evolution of consciousness and the educational imperatives. Southern Cross University, 2008

Ronald Glasberg. Mathematics and Spiritual Interpretation: a bridge to genuine interdisciplinarity. *Zygon*, 38, 28 May 2003, pp. : 277-294 [text]

Rebecca Newberger Goldstein. Mathematics as Theology. *Dialog* (Philoctetes Center), 1 December 2009 [text]

John T. Granrose. Normative Theology and Meta-Theology. *The Harvard Theological Review*, 63, 3 (Jul., 1970), pp. 449-451 [text]

Ivor Grattan-Guinness. The scope and limitations of algebras: some historical and philosophical considerations. *Theology and Science*, 9, 2011, (1). pp. 137-147 [abstract]

Niels Henrik Gregersen and Ulf Görman. Design and Disorder: perspectives from science and theology. Continuum International Publishing Group, 2002

Jacques Hadamard. The Psychology of Invention in the Mathematical Field. Princeton University Press, 1949

David Bentley Hart. Notes on the Concept of the Infinite in the History of Western Metaphysics. In: Michael Heller and W. Hugh Woodin (Eds.). Infinity: new research frontiers, 2011, pp. 255-274

Patrick Heelan:

- The Role of Consciousness as Meaning-Maker in Science, Culture, and Religion.
*Zygon*, 44, (2009), pp. 469-488. [abstract] - Embodied Consciousness and Quantum Science.
*Cahiers de Topologie et Géométrie Différentielle Catégoriques*, xlvi.3 (2005) [abstract] - Quantum Mechanics and the Social Sciences: After Hermeneutics.
*Science and Education*, 4 (1995), pp. 127-136 [abstract]. - Space as God's Presence.
*The World and I*, 1 (1986), pp. 607-623 [abstract] - The Logic of Framework Transpositions.
*International Philosophical Quarterly*, 11, 1971, pp. 314-334. [abstract] - The Role of Subjectivity in Natural Science.
*Proceedings of the American Catholic Philosophical Association*, 1969, pp. 185-194 [abstract] - Logic of Changing Classificatory Frameworks. In: Joseph Wojciechowski (Ed.). Proceedings of International Conference on the Classification of Knowledge. Verlag Documentation, 1974 [abstract] .

Raeburne Seeley Heimbeck. Theology and Meaning: a critique of metatheological scepticism. Stanford University Press, 1969

Michael Heller and W. Hugh Woodin (Eds.). Infinity: new research frontiers. Cambridge University Press, 2011 [contents]

Reuben Hersh:

- What is Mathematics, Really? Oxford University Press, 1997
- Inner Vision, Outer Truth. In: Ronald Mickens (Ed.). Mathematics and Science. World Scientific, 1990

Reuben Hersh (Ed.). 18 Unconventional Essays on the Nature of Mathematics. Birkhäuser, 2006 [summary]

Reuben Hersh and Vera John-Steiner. Loving and Hating Mathematics: challenging the myths of mathematical life. Princeton University Press, 2010

Douglas Hofstadter:

- Gödel, Escher, Bach: an Eternal Golden Braid. Basic Books, 1979 [summary]
- I Am a Strange Loop. Basic Books, 2007 [summary]
- What Is It Like to Be a Strange Loop. In: Uriah Kriegel and Kenneth Williford (Eds).
*Self-Representational Approaches to Consciousness*. MIT Press, 2006, pp. 465-516

Arthur F. Holmes. Wanted: Christians Perspectives in the Philosophy of Mathematics. *Journal of the Association of Christians in the Mathematical Sciences*, 1997 [text]

Frederick A. Homann, Ladislaus Lukbacs and Giuseppe Cosentino, Church, Culture and Curriculum: theology and mathematics in the Ratio Studiorum. Saint Josephs University Press, 1999

Russell W. Howell and James Bradley. Mathematics Through the Eyes of Faith. HarperOne, 2011

Russell W. Howell and James Bradley (Eds.). Mathematics in a Postmodern Age: A Christian Perspective. Eerdmans, 2001

Matthew M. Hurley, Daniel C. Dennett and Reginald B. Adams, Jr. Inside Jokes: using humor to reverse-engineer the mind. MIT Press, 2011

Mark Johnson. The Meaning of the Body: aesthetics of human understanding. University of Chicago Press, 2007

W. T. Jones. The Romantic Syndrome; toward a new methodology in cultural anthropology and the history of ideas. Martinus Nijhof, 1961 [summary]

Carl G. Jung and Wolfgang Pauli. The Interpretation of Nature and the Psyche. Pantheon. 1955

Richard S. Kirby:

- A New Mathematics for a New Era. World Network of Religious Futurists, 30 September 2005 [text]
- God and the Future of Mathematics. World Network of Religious Futurists, 27 June 2000 [text]
- Short Introduction to Vector Theology. Order of the Academy of Christ. Theological Science Position Papers, No. 6, 1987.

Teun Koetsier and Luc Bergmans. Mathematics and the Divine: a historical study. Elsevier, 2004

L. Kuhn and R. Woog. From complexity concepts to creative applications. *World Futures: The Journal of General Evolutiion*, 63 (March 2007), pp. 176-193.

Ladislav Kvasz. The Invisible Dialog Between Mathematics and Theology. *Perspectives on Science and Christian Faith*, 56,2009, pp. 111-116 [review]

George Lakoff and Mark Johnson:

- Metaphors We Live By. University of Chicago Press, 1980 [summary]
- Philosophy in the Flesh: the embodied mind and its challenge to Western thought. Basic Books, 1999

George Lakoff and Rafael E. Núñez. Where Mathematics Comes From: how the embodied mind brings mathematics into being. Basic Books, 2000 [summary]

Hilary Lawson:

- Reflexivity: the post-modern predicament. Open Court, 1986
- Closure: a story of everything. Routledge, 2001t]

Leon Lederman. The God Particle: If the Universe is the Answer, What is the Question? Houghton Mifflin, 1993.

Jeff Leer. Theological Mathematics: a Hierarchy. *Knol*, 9 May 2007 [text]

Albert C. Lewis. The Divine Truth of Mathematics and the Origins of Linear Algebra*. Theology and Science*, 9, 1, 2011, pp. 109-120 [abstract]

Mario Livio:

- Is God a Mathematician? Simon and Schuster, 2010
- The Equation That Couldn't Be Solved: how mathematical genius discovered the language of symmetry. Simon and Schuster, 2006

Ladislav Kvasz. The Invisible Dialog Between Mathematics and Theology. *Perspectives on Science and Christian Faith*, 56, 2009, pp. 111-116 [summary]

Edward A. Maziarz. Meta-mathematics and Meta-theology: an inquiry.* Philosophia Mathematica*, 1975, s1-12 (2), pp. 87-123. [text]

Ernest G. McClain:

- Myth of Invariance: The Origins of the Gods, Mathematics and Music from the Rg Veda to Plato. Nicolas-Hays 1976
- The Pythagorean Plato: Prelude to the song itself. Nicolas-Hays 1978
- Meditations Through the Quran: Tonal Images in an Oral Culture. Nicolas-Hays 1981

Thomas J. McFarlane:

- Sacred Science: essays on mathematics, physics and spiritual philosophy. 1995 [contents]
- The Spiritual Function of Mathematics and the Philosophy of Franklin Merrell-Wolff. 1995 [text]

Charlotte Methuen:

- Kepler's Tübingen: Stimulus to a Theological Mathematics. Scolar Press, 1998 [review]
- The German Reformation and the Mathematization of the Created World.
*Theology and Science*, 9, 1, 2011, pp. 35-44 [abstract]

John Micklethwait and Adrian Wooldridge. God Is Back: how the global revival of faith is changing the world. Penguin Press, 2009 [review]

Arthur I. Miller:

- 137: Jung, Pauli, and the pursuit of a scientific obsession. W. W. Norton, 2010
- Deciphering the Cosmic Number: the strange friendship of Wolfgang Pauli and Carl Jung. W. W. Norton, 2009
- Einstein, Picasso: space, time, and the beauty that causes havoc. Basic Books, 2002

Kinhide Mushakoji. Global Issues and Interparadigmatic Dialogue. Albert Meynier, 1988

Richard Nash. John Craige's Mathematical Principles of Christian Theology. Southern Illinois University Press, 1991

Elliot Nelson:

- A Theology of Mathematics: Philosophies of Mathematics.
*Until a Seed Dies*, May 2008 [text] - A Theology of Mathematics: Mathematical Beauty.
*Until a Seed Dies*, May 2008 [text]

Andrew B. Newberg. Principles of Neurotheology. Ashgate Publishing, 2010

Oscar Nudler. Controversy Spaces: a model of scientific and philosophical change. John Benjamins Publishing Company, 2011

Mary Jo Nye, J. Richards and R. Stuewer (Eds.). The Invention of Physical Science: intersections of mathematics, theology, and natural philosophy since the seventeenth century. Springer, 1992.

Diarmuid O'Murchu. Quantum Theology: spiritual implications of the new physics. Crossroad Publishing Company, 2004

Graham Oppy. God and Infinity: Directions for Future Research. In: Michael Heller and W. Hugh Woodin (Eds.). Infinity: new research frontiers, 2011, pp. 233-254

A.R. Peacocke. Theology for a Scientific Age. Fortress Press, 1993

Alvin Plantinga. Theism and Mathematics. *Theology and Science*, 9, 1, 2011, pp. 27-33 [abstract]

John Polkinghorne:

- One World: the interaction of science and theology. Princeton University Press, 1987
- Faith, Science, and Understanding. Yale University Press, 2000
- Quantum Physics and Theology: an unexpected kinship. Yale University Press, 2008

Vern Poythress. A Biblical View of Mathematics. *Theology Network*, 2011 [text]

C. K. Raju. Math Wars and the Epistemic Divide in Mathematics. New Delhi Centre for Studies in Civilizations, MCRP University [text]

Nicholas Rescher. The Strife of Systems: an essay on the grounds and implications of philosophical diversity. University of Pittsburgh Press, 1985

Sal P. Restivo. The Social Relations of Physics, Mysticism and Mathematics. Springer, 1985

Sal P. Restivo, Jean Paul van Bendegem, Roland Fischer. Math Worlds: philosophical and social studies of mathematics and mathematics education. SUNY Press, 1993.

Elizabeth Mendoza Role. Integrating Christian Values and Learning in the Teaching of Mathematics. Adventist International Institute of Advance Studies [text]

Steven M. Rosen:

- Topologies of the Flesh: a multidimensional exploration of the lifeworld. 2006 [text]
- Dimensions of Apeiron: a topological phenomenology of space, time, and individuation. Value Inquiry Book Series, 2004 [text]
- What is Radical Recursion?
*SEED Journal*, 2004, 4 (1), pp. 38-57 [text] - Science, Paradox and the Moebius Principle: the evolution of a "transcultural" approach to wholeness. State University of New York, 1994 [summary]
- Reinhabiting the Lifeworld: ecology, reversibility, and self-reversal. Presentation for the Twenty-Seventh Annual International Conference of the Merleau-Ponty Circle, 2002 [text]
- The Concept of the Infinite and the crisis in modern physics.
*Speculations in Science and Technology*6, 1983, (4), pp. 413-425 [abstract] - Bridging the "Two Cultures": Merleau-Ponty and the crisis in modern physics. 2009 [text]
- The Self-evolving Cosmos: a phenomenological approach to nature's unity-in-diversity. World Scientific, 2008

Robert John Russell:

- Cosmology from Alpha to Omega: towards the mutual creative interaction of theology and science, Fortress Press, 2008
- God and Infinity: Theological Insights from Cantor's Mathematics. In: Michael Heller and W. Hugh Woodin (Eds.). Infinity: new research frontiers, 2011, pp. 275-289
- Bridging Science and Religion: why it must be done. [text]

Paul Ryan:

- Cybernetics of the Sacred. Anchor Press, 1974
- Video Mind; Earth Mind. Peter Lang, 1993
- The Three Person Solution: Creating Sustainable Collaborative Relationships. Purdue University Press, 2009

Gerald L. Schroeder. The Science of God: the convergence of scientific and biblical wisdom. Free Press, 2009

Philippus Schuurmans. Mathematical Theology.

Glenn Shafer. Belief Functions: introduction. [text]

Stewart Shapiro. Theology and the actual infinite: Burley and Cantor. *Theology and Science*, 9, 1, 2011, pp. 101-108 [abstract]

Philippe Smets. The Application of the Matrix Calculus to Belief Functions. IRIDIA, 2004 [text]

Alan D. Sokal and Jean Bricmont. Fashionable Nonsense: postmodern intellectuals' abuse of science. Picador, 1999 [summary]

Bharath Sriraman. The influence of Platonism on mathematics research and theological beliefs. *Theology and Science*, 2004, 2, 1, pp. 131-147.

Eric C. Steinhart. A Mathematical Model of Divine Infinity. *Theology and Science*, 7, 3, August 2009, pp. 261-274 [abstract]

Danie F. M. Strauss. Is a Christian Mathematics possible? *Tydskrif vir Christelike Wetenskap/Journal for Christian Scholarship*, 2003, (3 and 4), pp. 31-49 [text]

Christian Tapp (*Infinity in Mathematics and Theology*

Christian Tapp. Infinity in Mathematics and Theology. *Theology and Science*, 9, 1, 2011, pp. 91-100 [abstract]

Vladimir Tasic. Mathematics and the Roots of Postmodern Thought. Oxford University Press, 2001

Nassim Nicholas Taleb. The Black Swan: the impact of the highly improbable. Random House, 2007 [contents]

Xing Taotao. How Gödel relates Platonism to Mathematics. *Theology and Science*, 9, 1, 2011, pp. 121-135 [abstract]

John Templeton. How Large is God?: voices of scientists and theologians. Templeton Foundation Press, 1997

Frank Tipler. The Physics of Immortality. Doubleday, 1994

T. F. Torrance. Transformation and Convergence in the Frame of Knowledge: explorations in the interrelations of scientific and theological enterprise. Christian Journals Limited, 1984.

Dmitri Tymoczko:

- The Geometry of Musical Chords.
*Science*, 313, 5783, 7 July 2006, pp. 72-74 [text] - A Geometry of Music. Oxford University Press, 2011

Francisco Varela, Evan Thompson and Eleanor Roach. The Embodied Mind: cognitive science and human expression. MIT Press, 1991

Francisco Varela. Laying Down a Path in Walking. In: W. Thompson (Ed.), Gaia: A way of knowing. (pp. 48-64). Lindisfarne Press, 1987 [text]

Marie-Lousie von Franz. Number and Time; reflections leading towards a unification of psychology and physics. Rider 1974.

Sarah Voss:

- What Number Is God? Metaphors, Metaphysics, Metamathematics, and the Nature of Things. State University of New York Press, 1995 [review]
- Mathematics and Theology: a stroll through the Garden of Mathaphors.
*Theology and Science*, 4, 1, March 2006, pp. 33-49 [abstract] - Mathaphors and Faith Understandings of Consciousness.
*Journal of Interdisciplinary Studies*, 17, 1-2, 2005, pp. 88-104 [abstract] - Mathematical Theology.
*Spiritual Information: 100 Perspectives*(Templeton Foundation Press), 2005 [abstract] - Depolarizing Mathematics and Religion.
*Philosophia Mathematica*, Series II 5(2) June, 1990, pp. 129-41 [abstract]

L. S. Vygotsky. Mind in Society: the development of higher psychological processes. Harvard University Press, 1978

Olive Whicher. Projective Geometry: creative polarities in space and time. Rudolph Steiner Press, 1986

Leslie White. The Locus of Mathematical Reality: an anthropological Footnote. *Philosophy of Science*, October, 1947

Donald Wiebe. The Politics of Religious Studies: the continuing conflict with theology in the academy. Palgrave Macmillan, 2000

Josh Wilkerson:

- Math in Process: the influence of mathematics on process theology.
*God and Math: Thinking Christianly About Mathematics, Education*, 14 July 2010 [text] - Integrating Faith and Mathematics: What We Can Learn From Process Theology. ACMS Conference 2011 [text]

K. Witz. Spiritual Aspirations Connected with Mathematics: the experience of American university students. The Edwin Mellen Press, 2007

J. Xie, S. Sreenivasan, G. Korniss, W. Zhang, C. Lim and B. K. Szymanski. Social consensus through the influence of committed minorities. *Physical Review E 84*, 011130 (2011) [summary]

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