Abstract
By assigning time-varying coordinates to all environmental stimuli, it has been possible to axiomatize psychoanalytic theory on the five principles of multiple causation, growth-aging influence, genetic influence, historic influence and conscious-unconscious activity. The theorems of summation of response and the inevitability of conscious-unconscious conflict with their corollaries follow directly from the axiomatic foundations, as does the existence of an adaptation-defense mechanism. The interpretation of the defense mechanism in terms of an ego-id feedback system provides the basis for the structural existence of conscious-conscious and unconscious-unconscious conflict.
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Literature
Breuer, J. and S. Freud. 1895.Studies in Hysteria. New York: Nervous and Mental Disease Publications (1937).
Bruns, R. A. and R. M. Saunders. 1955.Analysis of Feedback Control Systems. New York: McGraw-Hill.
Charny, E. J. and E. J. Carroll. 1966. “General Systems Theory and Psychoanalysis.”Psychoanal. Quart.,35, 377–387.
Dugdale, R. L. 1877.The Jukes. New York: Putnam.
Erikson, E. H. 1950.Childhood and Society. New York: Norton.
1956. “Identity and the Life Cycle.”Psychol. Issues,1, 101–164.
Estabrook, A. H. 1916.The Jukes in 1915. Washington: Carnegie Institute.
Freud, Sigmund. 1887–1902.The Origins of Psychoanalysis: Letters to Wilhelm Fliess, Drafts and Notes: 1887–1902. New York: Basic Books (1954).
. 1900.The Interpretation of Dreams. The Basic Writings of Sigmund Freud. New York: Modern Library (1938).
. 1905.Three Essays on the Theory of Sexuality. London: Imago (1949).
. 1905. “Formulation Regarding the Two Principles in Mental Functioning.” InCollected Papers, Vol. 4, Ed. Ernest Jones. London: Hogarth (1948), 13–21.
. 1915. “The Unconscious.”, Vol. 4. London: Hogarth (1948), 98–136.
. 1919. “A Child is Being Beaten.”, Vol. 2. London: Hogarth (1948), 172–201.
. 1937. “Analysis Terminable and Interminable.”, Vol. 5, Ed. Ernest Jones. London: Hogarth (1950), 316–357.
Goddard, H. H. 1913.The Kallikak Family. New York: MacMillan.
Hartmann, H. 1939.Ego Psychology and the Problem of Adaptation. New York: International Universities Press (1958).
1948. “Comments on the Psychoanalytic Theory of Instinctual Drives.”Psychoanal. Quart.,17, 368–388.
Hartmann, H., E. Kris and R. M. Loewenstein. 1949.Notes on the Theory of Aggression. The Psychoanalytic Study of a Child. New York: International Universities Press.
Houghton, G. 1966. “Academic Learning, A Variational Model.”Bull. Math. Biophysics,28, 75–90.
1967. “Optimal Models for Social Change.”,29, 761–782.
Louttit, C. M. 1957.Clinical Psychology of Exceptional Children. New York: Harper and Brothers.
Rapaport, David. 1960. “The Structure of Psychoanalytic Theory.”Psychol. Issues,2, 7–158.
Rapoport, Anatol. 1947. “Mathematical Theory of Motivation Interactions of Two Individuals.”Bull. Math. Biophysics,9, 17–28.
Rashevsky, N. 1947. “A Problem in the Mathematical Biophysics of the Interaction of Two or More Individuals Which May Be of Interest in Mathematical Sociology.”Bull. Math. Biophysics,9, 9–15.
Von Bertalanffy, L. 1962. “General Systems Theory: A Critical Review.”General Systems,7, 1–20.
Wälder, R. 1936. “The Principle of Multiple Function.”Psychoanal. Quart.,5, 45–62.
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Houghton, G. A systems-mathematical interpretation of psychoanalytic theory. Bulletin of Mathematical Biophysics 30, 61–86 (1968). https://doi.org/10.1007/BF02476940
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DOI: https://doi.org/10.1007/BF02476940