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Alphabetical List of Papers

Adobe LinkThis page gives a complete list of papers by Dr Andreas Schöter, arranged alphabetically.  These are available in PDF format.  To read them you will need the Adobe reader, which is available for free from the Adobe web site.  Whilst you can read them in your browser, they are really intended to be printed.

Bipolar Change - following from a conversation with Alain Stalder, this article extends the basic algebraic analysis of change, clarifying the relation between change as a yang energy and change as a yin energy. Extensive examples show how the technique can be applied to represent change through the lattice structure, change in correctness and change of resonance. A parallel is also drawn with the quantum theoretical phenomenon of vacuum polarization. A slightly shorter version of this article appeared in the Journal of Chinese Philosophy Volume 35, Number 2 (June 2008), pp297-317.

Boolean Algebra and the Yi Jing - this provides the necessary background to understand the mathematical techniques used in analysing the structures of the Yi. It takes a formal look at Cleary's Structural Complement and Primal Correlate relations and also provides the algebraic characterization of changing lines that underpins a lot of my subsequent work. An earlier version of this paper originally appeared in The Oracle, The Journal of Yijing Studies, in Volume 2, Number 7 (Summer 1998), pp19-34.

Review of A Companion to the Yi Jing Numerology and Cosmology: Chinese Studies of Images and Numbers from Han (202 BCE – 220 CE) to Song (960 – 1279 CE). (PDF) Published by Routledge Curzon, London and New York, 2003. This excellent volume is a landmark publication in the English language and a must-have for anyone interested in the Image and Number aspects of Change. A shorter version of this appeared in the Journal of Chinese Philosophy, Volume 36, Number 3, September 2009, pp487-492.

Consciousness of Movement - this paper looks at how the traditional Chinese notions used to describe the relationship between mind and body in movement relate to ideas from Western cognitive science. Although the language used is very different in the two approaches there are strong conceptual similarities and understanding the relationship between the two descriptions can help to deepen one's movement practice in the context of Chinese internal arts. A shorter version of this article is currently under submission to the Journal of Asian Martial Arts.

Correctness and Correspondence - this is a follow-on paper to "Boolean Algebra and the Yi Jing". It applies the mathematical tools introduced in the first paper to provide an analysis of the two traditional ideas of correctness and correspondence. This paper originally appeared in The Oracle, The Journal of Yijing Studies, in Volume 2, Number 8 (February 1999), pp25-37.

Flowers and Steps in the Boolean Lattice of Hexagrams - provides a detailed analysis of Karcher's Steps of Change, Secter's Transition Hexagrams and Change Hexagrams, and Hacker's Hexagram Flowers. It shows how all of these techniques can be understood as special cases of the Boolean lattice structure of hexagrams. This, in turn, is taken to provide further evidence of the utility of an algebraic approach to the structure of the symbols of the Yi Jing.  This article was first published in the Journal of Chinese Philosophy, Volume 31, Number 4, December 2004, pp489-504. © 2004 Journal of Chinese Philosophy. Readers interested in following this work further should refer to the web note showing a worked example of a cubic subspace which includes some illustrative animations.

Great Polar Fist and the Book of Change - this paper, which originally appeared in print in Tai Chi Chuan & Internal Arts, the journal of the Tai Chi Union for Great Britain, pp14-17, looks at the connections between the martial art Taijiquan, which is based on the use of yin and yang in the domain of physical movement and self-defence, and the Yi Jing, which explores yin and yang in terms of cosmology and situational analysis.  The basic conclusion is that there are connections, but these connections exist at the deep levels of the two practices, rather than at their superficial levels.

An Introduction to the Yi Jing - this is a short introduction to the Yi Jing. It provides a brief historical overview, along with a simple description of the symbols and the background to the use of the Book of Change.

The Nature of Divination - this paper, which originally appeared in a shorter version in the Spring/Summer 2004 edition of the journal Counselling in Scotland, pp6-8, looks at the process of divination and develops a simple theory based on the cosmology of the Yi Jing itself.  This theory of process links together the circumstances generating the question, the person asking the question and the Book of Change and suggests that these three entities stand in the same relationship as the domains of Earth, Man and Heaven.  The original article is still available here. Counselling in Scotland is the journal of COSCA.

Review of On Five Senses of Yi (Change/Creativity) and the Onto-Cosmological World of Yi by Chung-ying Cheng. This review was first published in the Journal of Chinese Philosophy, Volume 33, Number 2, June 2006, pp279-285. © 2006 Journal of Chinese Philosophy, Blackwell Publishing, Inc.

Review of Seeking the Spirit of the Book of Change. Subtitled "8 Days to Mastering a Shamanic Yijing Prediction System" by Master Wu Zhongxian, this book presents an intuitive divination system from a Daoist oral tradition and includes a wide range of case studies.

Tools for Change joint authored with Stephen Karcher - this applies the mathematical tools introduced in the Boolean Algebra paper to some of Karcher's techniques of interpretation, showing how this can result in a rich set of images for a divination. It includes a formal analysis of the nuclear hexagram construction and Karcher's Steps of Change technique. This paper originally appeared in The Oracle, The Journal of Yijing Studies, in Volume 2, Number 12 (January 2002), pp20-33.

The Yijing as a Mathematical Metaphysics - this is the full version of the 2010 conference paper. Starting from a discussion of the relationship between mathematics and reality, it discusses the significance of notation in shaping our understanding. It then shows a connection between the traditional philosophical concept wuji er taiji 無極而太極 and the quantum phenomena of vacuum polarization. It then goes on to discuss the connection between the traditional concept of the san cai 三才 and Bohm's ideas of the implicate and explicate order and the role of consciousness. The article concludes with a discussion of divination.

The Yijing: Metaphysics and Physics - this paper appears in the Proceedings of the 13th I-Ching World Conference, 2010, pp686-695. A slightly longer version subsequently appeared in the Journal of Chinese Philosophy, Volume 38, Number 3, September 2011, pp412-426. It firstly shows a connection between the traditional philosophical concept wuji er taiji 無極而太極 and the quantum phenomena of vacuum polarization. It then goes on to discuss the connection between the traditional concept of the san cai 三才 and Bohm's ideas of the implicate and explicate order and the role of consciousness.

The Yijing as a Symbolic Language for Abstraction - this paper, which originally appeared as a shorted vesion in the Proceedings of the 2nd International Conference on I-Ching (Yijing) Studies and Contemporary Civilization, 2005, pp291-305, shows how a formal description of linked chains of substructures within the Boolean lattice can be used to develop a theory of individual perspectives. This theory shows how local perspectives exist in the global context of totality and further, how the focus of the individual determines the scope of their perspective. Some more detailed examples of unfoldings are presented here.

 

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