Praise for Jungian Archetypes “A patient once asked me ‘What are all those science magazines doing in your waiting room?’ Real Jungian analysts, she believed, read only Parabola, Shaman’s Drum, or Modern Wicca. It’s a safe bet that she’s not likely to read this book. Too bad. If she did she’d learn things about Jung that would pleasantly surprise her. Jung was a scientist. Analysts are as well, although some don’t realize it. Others, strangely enough, seem to want to deny it. But many of us love science, consider ourselves to be squarely in the scientific tradition, and stand in awe of its methods and discoveries. Robin Robertson writes for this latter group. He particularly enjoys mathematics, which, as the language of science, has its own paradoxes, contradictions, and metaphors. In Jungian Archetypes: Jung, Gödel, and the History of Archetypes, he traces the history of science as expressed through mathematics.… Robertson’s book is a dialogue between the history of science and Jungian theory.… His outline of the history of science is excellent.… His review of Jung is equally adept. He writes clearly, simply, and completely … he is very good at simplifying the complex.” —John R. Van Eenwyk Pacific Northwest Society of Jungian Analysts Excerpted from The Journal of Analytical Psychology, January, 1997 “Jungian Archetypes is the most recent summation of [Robertson’s] pioneering work in drawing together the scattered strings of historical thought on the possibilities and limitations of human consciousness.… Step by step Robertson softly invites us to review once again the eternal questions of meaning and value that awakened our consciousness in youth and lead us on the numinous quests that hopefully continue to stir our endeavors in maturity. He makes the profoundly complex issues of Cantor’s Set Theory of Transfinite Numbers and Gödel’s Proof of the limitations of mathematical logic—surely esoterica for most ordinary mortals—open and available to the literate reader. More, he convinces us of their relevance for our personal growth and the sense of meaning we seek in depth psychology. In this broadly appealing book, Robertson is doing something vastly more than simply explicating Jungian psychology: He is involved in sketching a plausible technical foundation for archetypal psychology in the coming millennium.” —Ernest L. Rossi, Ph.D. Psychological Perspectives, Issue 33, 1996 “Robertson meticulously and effectively exposes the parallels between Jung the psychologist and Gödel the mathematician. His documentation of illustrated historical contributors to both fields is interesting and informing. In a direct style of writing, he has woven the development of abstract concepts and scientific research into a cohesive whole, showing that, at their root, psychology, philosophy, and science are different languages for the same understandings. For those who are skeptical and feel that science and psychology are antithetical to each other, Jungian Archetypes will provide proof to the contrary.” —John Maerz Starchild Books, Port Charlotte, FL New Age Retailer, October, 1996 “Robin Robertson focuses on the quest for understanding the nature of hidden reality and especially on the roles that mathematics and psychology have played in that quest. It begins with a review of the foundations of both disciplines with their culmination in the works of Gödel and Jung. It ends with an appraisal of the limits to knowledge and with an expression of the need for a holistic union of mind with the unknowable aspects of the universe. These are invoked for the good of the individual, the intellectual enterprise, and humanity. I will claim that it also has relevance in posing a challenge to our discipline of dynamics and complexity. The book is exceptionally well crafted and clearly written.” —Fred Abraham The Blueberry Brain Institute Society for Chaos Theory in Psychology and Life Sciences Newsletter January–March, 1996, Vol. 3, No. 3 Jungian Archetypes Jung, Gödel, and the History of Archetypes Robin Robertson C ONTENTS Illustrations Preface Chapter 1. The Renaissance Ideal Chapter 2. The Birth of Science Chapter 3. What Do We Know and How Do We Know It? Chapter 4. Pragmatic Responses Chapter 5. Founders of Experimental Psychology Chapter 6. Founders of Clinical Psychology Chapter 7. Cantor’s Set Theory of Transfinite Numbers Chapter 8. Sigmund Freud Chapter 9. Logic’s Tower of Babel Chapter 10. Background for Jung’s Psychology Chapter 11. Jung’s Model of the Psyche Chapter 12. Background for Gödel’s Proof Chapter 13. Archetypes of Development: Shadow Chapter 14. Archetypes of Development: Anima/Animus Chapter 15. Archetypes of Development: Self Chapter 16. Gödel’s Proof Chapter 17. Alchemy as a Model of Psychological Development Chapter 18. Mysterious Union Chapter 19. Number as Archetype Bibliography Index Acknowledgments About the Author I LLUSTRATIONS Pythagoras the Musician. F. Gafurius, Theorica Musice, Milan, 1492. David Eugene Smith, History of Mathematics, Vol. 1, reprint of 1939 edition (New York: Dover Publications, 1958) Plato: a fanciful portrait. From a drawing by Raphael in the Accademia at Venice. David Eugene Smith, History of Mathematics, Vol. 1, reprint of 1939 edition (New York: Dover Publications, 1958 Leonardo Da Vinci’s drawings of musculature of human body. Jean Paul Richter, The Notebooks of Leonardo Da Vinci, Vol. 2 (New York: Dover Publications, 1970) Euclid. From Mathematical Mac Tutor, School of Mathematical and Computational Sciences, University of St. Andrews, St. Andrews Fife, Scotland First Page of al-Khowarizmi’s Algebra. Library of G. A. Plimpton. David Eugene Smith, History of Mathematics, Vol. II, reprint of 1939 edition (New York: Dover Publications, 1958) Copernicus. From an early engraving. David Eugene Smith, History of Mathematics, Vol. II, reprint of 1939 edition (New York: Dover Publications, 1958) René Descartes. Carl B. Boyer, A History of Mathematics (Princeton: Princeton University Press, 1968) La Géométrie (facsimile page). David Eugene Smith and Marcia L. Latham, The Geometry of René Descartes, reprint of 1925 edition (New York: Dover Publications, 1954) Isaac Newton. From a Portrait by Godfrey Kneller. Dirk J. Struik, A Concise History of Mathematics, 4th revised ed., reprint of 1948 edition (New York: Dover Publications, 1987) Opening of Leibniz’s first paper on the calculus. In the Acta Eruditorium of 1684, as reprinted by C. I. Gerhardt, 1858. Dirk J. Struik, A Concise History of Mathematics, 4th revised ed., reprint of 1948 edition (New York: Dover Publications, 1987) Gottfried Wilhelm Leibniz. John Stillwell, Mathematics and its History (New York: SpringerVerlag, 1989) Leonhard Euler. John Stillwell, Mathematics and its History (New York: SpringerVerlag, 1989) Jean le Rond d’Alembert. Dirk J. Struik, A Concise History of Mathematics, 4th revised ed., reprint of 1948 edition (New York: Dover Publications, 1987) David Hartley. The National Library of Medicine, Bethesda, Maryland Cardan. David Eugene Smith, A Source Book in Mathematics, reprint of 1929 edition (New York: Dover Publications, 1959) Karl Friedrich Gauss. After a painting by A. Jensen. Dirk J. Struik, A Concise History of Mathematics, 4th revised ed., reprint of 1948 edition (New York: Dover Publications, 1987) Nikolai Lobachevsky. Dirk J. Struik, A Concise History of Mathematics, 4th revised ed., reprint of 1948 edition (New York: Dover Publications, 1987) Bernard Riemann. John Stillwell, Mathematics and its History (New York: SpringerVerlag, 1989) Ernst Heinrich Weber. The National Library of Medicine, Bethesda, Maryland Hermann von Helmholtz. The National Library of Medicine, Bethesda, Maryland Paracelsus. The National Library of Medicine, Bethesda, Maryland Woodcut portrait of Andreas Vesalius. J. B. deC. M. Saunders and Charles D. O’Malley, The Illustrations from the Works of Andreas Vesalius of Brussels, reprint of 1950 edition (New York: Dover, 1973) Franz Anton Mesmer. The National Library of Medicine, Bethesda, Maryland Jean Martin Charcot. The National Library of Medicine, Bethesda, Maryland Georg Cantor. Dirk J. Struik, A Concise History of Mathematics, 4th revised ed., reprint of 1948 edition (New York: Dover Publications, 1987) Karl Weierstrass. Dirk J. Struik, A Concise History of Mathematics, 4th revised ed., reprint of 1948 edition (New York: Dover Publications, 1987) Giuseppe Peano. From Mathematical MacTutor, School of Mathematical and Computational Sciences, University of St. Andrews, St. Andrews Fife, Scotland Bertrand Russell. From Mathematical MacTutor, School of Mathematical and Computational Sciences, University of St. Andrews, St. Andrews Fife, Scotland Gottlob Frege. From Mathematical MacTutor, School of Mathematical and Computational Sciences, University of St. Andrews, St. Andrews Fife, Scotland C. G. Jung. Photo AKG London Kurt Gödel. Institute for Advanced Studies, Princeton, New Jersey. David Hilbert. From Mathematical MacTutor, School of Mathematical and Computational Sciences, University of St. Andrews, St. Andrews Fife, Scotland The stages of alchemy necessary to produce the Philosopher’s Stone. From Steffan Michelspacher, Cabala, 1616 Alchemical mining, ultimately of the alchemist himself. From Michael Maier, Septimana Philosophica, 1620 Philosopher representing Hermes Trismegistos. From Michael Maier, Septimana Philosophica, 1620 The combat between the fixed and the volatile. From Michael Maier, Viatorium, 1618 Culmination of the unio mentalis releases the anima, just as Athena was born from the head of Zeus. From Michael Maier, Atalanta Fugiens, 1618 The royal marriage that marks the union of mind and body. From Michael Maier, Tripus Aureus, 1618 To Lore Zeller, who has been so kind to so many of us in Jungian psychology. And to my late friend Gail Duke, who always asked me to write more about mathematics. PYTHAGORAS
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