Process Thought and Mathematics

Ariel, Robert A. “A Mathematical Root of Whitehead’s Cosmological Thought.” Process Studies 4:2 (Summer 1974): 107-113. [abstract]

Asenjo, F. G. "Relations Irreducible to Classes." Notre Dame Journal of Formal Logic. IV no. 3 (July 1963): 193-200. [abstract]

Baker, John Robert. “Wolfe Mays on Whitehead: Seeing Through a Glass Darkly.”  Process Studies 5, no. 4 (Winter 1975): 257-73. [abstract]

Ballard, Edward G. “Kant and Whitehead, and the Philosophy of Math­ematics.” Tulane Studies in Philosophy 10 (1961): 3-29.

Bendall, R. Douglas. “‘On Mathematical Concepts of the Material World’ and the Development of Whitehead’s Philosophy of Organism.”  (unpubl.) [Comprehensive Examination, Graduate Theological Union, 1973.]

_____. “The Naturalization of Whitehead’s God.”  Ph.D. Dis., Graduate Theological Union, 1977.

Beth, E.W and H. J. Pos, Eds.  Proceedings of the Tenth International Congress of Philosophy, Amsterdam, August 11-18, 1948. Amsterdam: North-Holland Publishing Company, 1949. [Philosophy of Science, Philosophy of Religion, Ontology, Mathematics, Metaphysics, Philosopy of Nature]

Bird, Graham. "Bertrand Russell (1872-1970)." Handbook of Whiteheadian Process Thought, Vol. II. Edited by Michel Weber and Will Desmond. Heusenstamm, Germany: Ontos Verlag, 2008. 505-516. [abstract]

Black, Max. The Nature of Mathematics: A Critical Survey. Totowa, NJ: Littlefield, Adams, & Co., 1965. [abstract]

Blackwell, Kenneth. “The Bertrand Russell Archive.”  Dialogue 7 (Mar. 1969): 608-615. [abstract] 

Bohm, David “Time, the Implicate Order and Pre-Space.” (unpubl.) [abstract]  

_____. and B. J. Hiley. “On a Quantum Algebraic Approach to Generalized Phase Space.” Foundations of Physics 11:3-4 (1981): 179-203. [abstract] 

Bradley, James. “The Speculative Generalization of the Function: A Key to Whitehead.” Tijdschrift voor Filosofie 64 (2002): 253-271. [abstract]

Cai, Zhong. "Cultural Reflection on Mathematics." (Conference Paper- International Conference on Creativity and Process: East-West Dialogue 2007). [abstract]

Cahill, Reginald T. "Deriving the General Relativity Formalism: Understanding its Successes and Failures." http://arxiv.org/abs/physics/0611002v1 (November 2006): 1-14. [abstract] 

_____. "A New Light-Speed Anisotropy Experiment: Absolute Motion and Gravitational Waves Detected." Progress in Physics 4 (2006): 73-92. [abstract] 

_____. "The Michelson and Morley 1887 Experiment and the Discovery of Absolute Motion" Process in Physics 3 (2005): 25-29. [abstract] 

_____. and Christopher M. Klinger. "Self-Referential Noise as a Fundamental Aspect of Reality." http://www.scieng.flinders.edu.au/cpes/people/cahill_r/processphysics.html (1999). [abstract] 

_____. and Christopher M. Klinger. "Self-Referential Noise and the Synthesis of Three-Dimensional Space." http://www.scieng.flinders.edu.au/cpes/people/cahill_r/processphysics.html (1998). [abstract] 

_____, Kirsty Kitto, and Christopher M. Klinger. "Process Physics: Modelling Reality as Self-Organising Information." http://www.scieng.flinders.edu.au/cpes/people/cahill_r/processphysics.html (2000). [abstract] 

Capek, Milic. “The Fiction of Instant.”  Studium Generale 24 (1971): 31-43. [abstract] 

_____. "Two Types of Continuity." Boston Studies in the Philosophy of Science 13, 361-375.

Chown, Marcus. "Random Reality." New Scientist 2227 (February 2000): 24-28.

Clark, George A. “Intimations of Philosophy in Whitehead’s Introduction to Mathematics.”  Actas Segundo Congreso Extraordinario Interamericano de FilosofRa 22-26 Julio, 1961. San Jose, Costa Rica: Imprenta Nacional, 1963, pp. 157-161.

Code, Murray. Myths of Reason: Vagueness, Ratinality, and the Lure of Logic. New Jersey: the Humanities Press, 1995. [abstract]

_____. Order and Organism: Steps to a Whiteheadian Philosophy of Mathematics and the Natural Sciences. Albany: State University of New York Press, 1985. [abstract]

_____. “Toward a Whiteheadean Philosophy of Mathematics.”  Philosophia Mathematica 12 (Summer 1975): 23-65. [abstract]

_____. “Zeno's Paradoxes II: A Whiteheadian Response.”  Nature and System 4 (March-June): 59-76. [abstract]

Code, Murray. Order and Organism: Steps to a Whiteheadian Philosophy of Mathematics and the Natural Sciences. Albany: State University of New York Press, 1985. [abstract]

Coleman, A. John. "Groups and Physics--Dogmatic Opinions of a Senior Citizen." American Mathematical Society 44, no. 1 (January 1997): 8-17.

Dawson, Andrew. "Whitehead's Universal Algebra" Handbook of Whiteheadian Process Thought Vol. II. Edited by Michel Weber and Will Desmond. Heusenstamm, Germany: Ontos Verlag, 2008. 67-86. [abstract]

Desmet, Ronny. "How Did Whitehead Become Einstein's Antagonist? On Poincaré and Whitehead." In Process Studies 27, no. 2 (Fall-Winter 2008): 5-23.  [abstract] 

_____. "The Serpent in Russell's Paradise." Perspectives on Mathematical Practices Seminar, March 2007.

_____. "Speculative Philosophy as a Generalized Mathematics." [Confernece Paper "Chromatiques Whiteheadiennes" April 10, 2007:Avignon, France]. 

Faber, Roland. “‘The Infinite Movement of Evanescence:’ A Relativist Analysis of The Pythagorean Puzzle in Deleuze, Whitehead, and Plato.” Seminar. Claremont School of Theology: Claremont, CA, February 22, 2000.  

Fitzgerald, Janet A. “A Study of Alfred North Whitehead’s Method of Exten­sive Abstraction as a Mathematical Model.”  Ph.D. Dis., St. John’s University, 1971.

Gaeta, Luca. "The Memoir 'On Mathematical Concepts of the Material World'." Handbook of Whiteheadian Process Thought Vol. II. Edited by Michel Weber and Will Desmond. Heusenstamm, Germany: Ontos Verlag, 2008. 105-117. [abstract]

Gerla, Giangiacomo. “Pointless Metric Spaces.”  The Journal of Symbolic Logic 55, no. 1 (March 1990): 207-19. [abstract]

Gerla, Giangiacomo, and Annamaria Miranda. "Mathematical Features of Whitehead's Point-free Geometry." Handbook of Whiteheadian Process Thought Vol. II. Edited by Michel Weber and Will Desmond. Heusenstamm, Germany: Ontos Verlag, 2008. 119-129. [abstract]

Grattan-Guinness, I. Dear Russell - Dear Jourdain: A Commentary on Russell's Logic, Based on His Correspondence with Philip Jourdain. New York: Columbia University Press, 1977. [abstract]

Grattan-Guinness, Ivor. "Foundations of Mathematics and Logicism." Handbook of Whiteheadian Process Thought Vol. II. Edited by Michel Weber and Will Desmond. Heusenstamm, Germany: Ontos Verlag, 2008. 97-103. [abstract]

Grünbaum, Adolf. “The Philosophy of Continuity: A Philosophical Interpretation of the Metrical Continuum of Physical Events in the Light of Contemporary Mathematical Conceptions.” Ph.D. Dissertation. Yale University, 1951

Gunter, Pete A.Y. “The Actual Indefinite in Bergson and Whitehead.”  The International Journal for Field-Being 2, no.1 (2002). [Bergson, Mathematics]

_____.  "Bergson, Mathematics, and Creativity."  Process Studies 28, nos.3-4 (Fall-Winter 1999): 268-288. [Bergson, Creativity, Mathematics]

Hazen, A. P. “The Mathematical Philosophy of Contact.”  Philosophy 65, no. 252 (Apr. 1990): 205-11. [abstract]

Henry, Granville C. “Idempotency in Whitehead's 'Universal Algebra'.”  Philosophia Mathematica 1, no. 3 (1993): 157-72. [abstract]

_____. “The Image of a Machine in The Liberation of Life.” Process Studies 13:2 (Summer, 1983): 143-153.

_____. “Mathematical Objectification and Common Sense Causality in Science and Religion.”  The Blaisdell Institute Journal 4, no.1 (January 1969): 3-14.

_____. Logos: Mathematics and Christian Theology. Lewisburg: Bucknell University Press, 1976. [abstract]

_____.  “Mathematics and Causality.” [Causality, Mathematics]

_____. "Mathematics and Contemporary Process Theology." Logos: Mathematics and Christian Theology. Lewisburg: Bucknell University Press, 1976. 240-272.

_____. “Mathematics, Phenomenology, and Language Analysis in Contemporary Theology.”  Journal of The American Academy of Religion 35 no.4 (December 1967): 337-349.  [Analytic Philosohy, Language, Mathematics]

_____. “Nonstandard Mathematics and a Doctrine of God.”  Process Studies 3:1 (Spring, 1973): 3-14.

_____. “Whitehead’s Philosophical Response to the New Mathematics.”  In Explorations on Whitehead’s Philosophy, Lewis S. Ford and George L. Kline, eds. New York: Fordham University Press, 1983. pp. 14-28. [abstract]

_____, and Robert J. Valenza."The Preprojective and the Postprojective:A New Perspective on Causal Efficacy and Presentational Immediacy."Process Studies 26, nos.1-2 (Spring-Summer 1997): 33-56.

_____, and Robert J. Valenza. “Whitehead’s Early Philosophy of Mathematics.”  (unpubl.)

_____. "Eternal Ojects at Sea." Process Studies 30, no. 1 (Spring-Summer 2001): 55-77.

Hiley, Basil J. “Review: Quantum Reality:  A Synthesis of the Ideas of Einstein and Heisenburg, by David R. Finkelstein.”  In Process Studies 27, no. 3-4 (Fall-Winter 1998): 350-2.

Hiz, H. “A Warning about Translating Axioms.”  Amer Math Monthly  65 (1958): 613-614. [abstract]

Kamareddine, Fairouz, Twan Laan, and Rob Nederpelt. “Types in Logic and Mathematics Before 1940.”  The Bulletin of Symbolic Logic 8, no. 2 (June, 2002): 185-245.

Kattsoff, Louis O. A Principle of Mathematics. Freeport, New York: Books for libraries press. [abstract]

Kortright, Enrique V.  "Philosophy, Mathematics, Science and Computation."  Topoi 13, no. 1 (March 1994): 51-60. [abstract]

Langer, Susanne K. An Introduction to Symbolic Logic. New York: Dover Publications, 1967 [1953]. [abstract]

Leblanc, Hughes. [in Kline, ed., ANW: Essays...]  [???]

Lewis, Albert C. "Hermann Gunther Grassman (1809-1877)." Handbook of Whiteheadian Process Thought Vol. II. Edited by Michel Weber and Will Desmond. Heusenstamm, Germany: Ontos Verlag, 2008. 339-334. [abstract]

Llewellyn, Robert R. “Alfred North Whitehead’s Analysis of Metric Struc­ture in Process and Reality.”  Ph.D. Dis., Vanderbilt University, 1971.

Lowry, Ann P. “The Ontological Status of the Mathematicals.”  Ph.D. Dissertation. Emory University, 1986.

_____. “Whitehead on the Nature of Mathematical Truth.” Process Studies 1 (1971): 114-23.

Martin, R.M. Events, Reference, and Logical Form. Washington D.C.: The Catholic University of American Press, 1978. [abstract]

_____. Metaphysical Foundations: Mereology and Metalogic. München: Philosophia Verlag GmbH, 1988. [abstract]

Mays, Wolfe. “The Relevance of ‘On Mathematical Concepts of the Material World.”  The Relevance of Whitehead, ed., Ivor Leclerc. New York: Humanities Press, 1961, pp. 235-260.

McHenry, Leemon B. “The Axiomatic Matrix of Whitehead’s Process and Reality. Process Studies 15, no.3 (Fall, 1986): 172-80.

McLaughlin, William I. “Resolving Zeno’s Paradoxes.”  Scientific American (November 1994): 66-71.

Norman, Ralph V. [In Kline, ed., ANW: Essays]  [???]

Northrop, F.S.C., Ed.  Philosophical Essays for Alfred North Whitehead.  New York: Russell & Russell, 1936.

O’Keefe, Thomas. “Empiricism and Applied Mathematics in the Natural Philosophy of Whitehead.” Modern Schoolman 28 (1951): 267-89.

Palter, Robert M. “The Place of Mathematics in Whitehead’s Philosophy.” Journal of Philosophy 58 (1961): 565-76. [abstract]

Peckhaus, Volker. "W.R. Hamilton (1805-1865)." Handbook of Whiteheadian Process Studies Vol. II. Edited by Michel Weber and Will Desmond. Heusenstamm, Germany: Ontos Verlag, 2008. 332-338. [abstract]

Pribram, Karl H. "Physics and Mind: Minding Quanta and Cosmology." Zygon 44, no. 2 (June 2009): 451-460. [abstract]

Price, Lucien. Dialogues of Alfred North Whitehad. London: Max Reinhardt, 1954. [abstract]

Quine, W. V. The Logic of Sequences. New York: Garland Publishing, 1990. [abstract]

Ringel, Claus Michael. "Extension in PR Part IV." Handbook of Whiteheadian Process Thought Vol. II. Edited by Michel Weber and Will Desmond. Heusenstamm, Germany: Ontos Verlag, 2008. 131-148. [abstract]

Russell, Bertrand. Introduction to Mathematical Philosophy. New York: Touchstone, n.d. [abstract]

_____. “Whitehead and Principia Mathematica.”  Mind 57 no.226 (1948): 137-138.

_____. “Alfred North Whitehead.”  Rivista critica di Storia della Filosofia 8 (1953):100-104.

Saint-Sernin, Bertrand. “Morphogenèse Mathématique du Monde Matériel.” Les Études Philosophiques no. 4 (October-December, 2002): 427-440.

Sarkar, Anil Kumar. Zero: Its Role and Prospects in IndianThought. New Delhi: South Asian Publishers, 1992.

Sieroka, Norman. "Hermann Weyl (1885-1955)." Handbook of Whiteheadian Process Thought Vol. II. Edited by Michel Weber and Will Desmond. Heusenstamm, Germany: Ontos Verlag, 2008. 537-545. [abstract]

Sriraman, Bharath. “The Influence of Platonism on Mathematics Research and Theological Beliefs.”  Theology and Science 2, no.1 (April 2004): 131-148.

Tanaka, Yutaka. “The Philosophical Importance of Principia Mathematica.” (unpubl.)

Valenza, Robert. "Vector Mathematics: Symbol versus Form." Handbook of Whiteheadian Process Thought Vol. II. Edited by Michel Weber and Will Desmond. Heusenstamm, Germany: Ontos Verlag, 2008. 87-95. [abstract]

Wassermann, Christoph. “Mathematische Grundlagen von Whiteheads Religions philosophie.”  Natur Subjektivitat Gott, Heraus., Helmut Holzhey, Alois Rust und Reiner Wiehl. Frankfurt: Suhrkamp, 1990, pp. 240-261.

_____. “The Relevance of An Introduction to Mathematics to Whitehead’s Philosophy.” Process Studies 17:3 (Fall 1988): 181-192.

Whitehead, Alfred North. An Introduction to Mathematics.  London:, Oxford University Press, 1948. [abstract]

_____. Axioms of Descriptive Geometry. New York: Hafner, 1971 [1907]; Cambridge: CambridgeUniversity Press, 1914 [1907].

_____. Axioms of Projective Geometry. New York: Hafner, 1971 [1906]. [abstract]

_____. “Mathematics and the Good.”  The Philosophy of Alfred North Whitehead, ed. Paul A. Schilpp. La Salle, IL: Open Court, 1951, pp. 666-81.

_____. “On Mathematical Concepts of the Material World.”  Philosophical Transactions of the Royal Society of London, Series A, 205 (1906): 465-525.

_____. “The Philosophy of Mathematics.”  Science Progress in the Twentieth Century 5 (October, 1910): 234-39.

_____ and Bertrand Russell. Principia Mathematica (3 Volumes). Cambridge: Cambridge University Press, 1910.

_____ and Bertrand Russell. Principia Mathematica to *56 (1 Volume, Abridged). Cambridge: Cambridge University Press, 1973. [abstract]

Whitney, Gordon E. “Whitehead’s ‘Dogmatic Fallacy’ and Goedel’s ‘Incompleteness Theorem’: Negative Assessments of Hegel’s Dialectical Method.” (unpubl.)

Wiener, Norbert. “A Comparison Between the Treatment of the Algebra of Relations by Schroeder and that by Whitehead and Russell.”  Ph.D. Dis., Harvard University, 1913.

Yezzi, R. D. “The Application of Mathematics to Concepts in Physics: Four Theories.”  Ph.D. Dis., Southern Illinois University, 1968, pp. 93-115.

Zeglen, Urszula M. Filosofia z punktu widzenia Quine'a in Ruch Filozoficzny; Vol 58, issue 2; 205-219.

Zeglen, Urszula M.,  “Filozofia z punktu widzenia Quine’a.” Ruch Filozoficzny 58, no. 2 (2001): 205-19. [North American Philosophers, Logic, Mathematics]