The sequential patterns of the sixty-four hexagrams in the Yijing, variously known as I Ching (the Book of Changes) are structured to embrace the universe of possibilities, scenarios and probabilities. Each hexagram equates to each moment in space-time. With the arrow of time, a string of hexagrams represent a string of moments. A probability curve can be formed from the string of hexagrams. Physicists call this mathematical entity a wave function which is constantly changing and proliferating. A (...) wave function is mathematical representation of all possibilities that can happen to an observed entity when it interacts with an observer. The form of the wave function can be calculated by the Schrodinger wave equation for any part of the range of moments. The string of hexagrams deal with probabilities. Physicists deal mainly with two wave forms and functions – dynamic wave that follows the Schrodinger wave equation and the second phenomenon is the “collapse of the wave function” which is abrupt and discontinuous. Which part of the wave collapses is a matter of probability and chance. The wave transition from the first to the second is call the quantum jump. This exhibited phenomenon is very similar to how the hexagram in the Yijing. When unobserved, the sequential formation of the hexagrams, moment by moment, form a probability wave but when it is observed, it abruptly collapses. It is the abrupt collapse of all the development aspects of the wave function except the one that actualizes and that particular hexagram is therefore the mathematical representation of the observed entity. What spurs all the changes is the energy that flows through the system and all the interacting waves are interconnected and interdependent and they form the energy fields. Emphasis is on the stringed hexagrams, each possesses a sophisticated mathematical structure, suggesting at the same time that it would hold great significance as an integral part of the whole of the wave or energy field. The subject of this paper is on the quantum- informational theoretical framework of Yijing. (shrink)

This chapter examines the pioneering work of Gottfried Wilhelm Leibniz (1646-1716) on various number systems, in particular binary, which he independently invented in the mid-to-late 1670s, and hexadecimal, which he invented in 1679. The chapter begins with the oft-debated question of who may have influenced Leibniz’s invention of binary, though as none of the proposed candidates is plausible I suggest a different hypothesis, that Leibniz initially developed binary notation as a tool to assist his investigations in mathematical problems that were (...) exercising him at the time, namely those concerning the divisibility of composite numbers, primality, and perfect numbers. The chapter then explores Leibniz’s development of binary, his little-known work on binary fractions and expansions, his use of binary as a symbol for creation in his philosophical-theology, and his response to the suggestion that there was a correlation between binary numeration and the hexagrams of the ancient Chinese divinatory text, the Yijing. The chapter then focuses on Leibniz’s work on other number systems, in particular his invention and exploration of hexadecimal as well as his work on duodecimal. The chapter concludes by revealing a hitherto unknown practical application of binary that Leibniz devised in the last year of his life. (shrink)

This fourth article in a six-part series correlating Kant’s philosophy with the Yijing begins by summarizing the foregoing articles: both Kant and the Yijing’s 64 hexagrams (gua) employ “architectonic” reasoning to form a four-level system with 0+4+12+(4x12) elements, the fourth level’s four sets of 12 correlating to Kant’s model of four university “faculties”. This article explores the second twelvefold set, the law faculty. The “idea of reason” guiding this wing of the comparative analysis is immortality. Three of Kant’s “quaternities” (...) correspond to three sets of four gua in the Yijing: the fourfold nature of the soul in rational psychology (as substantial, simple, unified, spatially related) corresponds to gua 47, 6, 58, 10, respectively; the three “Definitive Articles” and fourth, “Secret Article”, in Perpetual Peace correspond to gua 16, 35,51, 21; and the four objective relations of law to duty in Metaphysics of Morals correspond to gua 45, 12, 17, 25. (shrink)

This short essay introduces a set of articles I compiled for a special issue of the Journal of Chinese Philosophy in 2011. Most of the essays are revised versions of papers originally presented at the "Kant in Asia" international conference on "The Unity of Human Personhood", held in Hong Kong in May of 2009, and subsequently published in the collection entitled Cultivating Personhood: Kant and Asian Philosophy (Berlin: Walter de Gruyter, 2010). After introducing the papers in the special issue, the (...) essay proposes an unconventional way of mapping the Yijing, according to four "levels of perspectives": 0 + 4 + 12 + (4x12) = 64. I predict that this new map can be used to demonstrate a one-to-one correspondence between the Yijing's 64 gua (hexagrams) and the basic principles of Kant's philosophy. (shrink)

In this paper we elaborate on the neo-Confucian interpretation of the Yi-Jing system. Based on a further exploration of the Diagram of the Supreme Polarity of Zhou Dunyi, we develop a cosmological-anthropological model in constructive engagement with Western thoughts and views on systems and on the universe. The vital energy and the pattern play central roles in this model and also in the interpretation of the images and forces of the trigrams. This leads to a comparative model, based on a (...) quadrant system with four perspectives: naturality, rationality, humanity and morality. This model fits in the quadrant system of Wilber, and also corresponds to the cosmic ring of duograms. The natural YI Ba-Gua, a cycle of trigrams where Heaven and Earth are seen as elements of the production cycle, supplies an alternative interpretation of the King Wen Ba-Gua. When extending the quadrant system to octants we observe a cycle of trigrams, the cosmic YI Ba-Gua, as a spiralling sequence, following the order of the Five elements. Heaven and Earth are seen, as in the elaborated Diagram of the Supreme Polarity, as instigator and receiver respectively of the production cycle. It forms the framework for an alternative interpretation of the Fu Xi Ba-Gua. In addition to the images, we can display the forces of the trigrams in the octant system of the cosmic YI Ba-Gua as concentric circles. In the YI Ba-Gua we combine both the cosmic and the natural YI Ba-Gua, and compare this with the Ba-Gua of King Wen and of Fu Xi. Finally we present some hypotheses for further analysis of the matrix of hexagrams based on the cosmic YI Ba-Gua. The comparison of the different philosophical views in one framework may lead to further engagement of these ways of seeing. We already conclude that there is so much structure in the Yi-Jing that it is possible to use the wisdom of the Yi-Jing without applying a divination system. (shrink)

This paper begins the last instalment of a six-part project correlating the key aspects of Kant’s architectonic conception of philosophy with a special version of the Chinese Book of Changes that I call the “Compound Yijing”, which arranges the 64 hexagrams (gua) into both fourfold and threefold sets. I begin by briefly summarizing the foregoing articles: although Kant and the Yijing employ different types of architectonic reasoning, the two systems can both be described in terms of three “levels” of (...) elements. Starting at an unnumbered level devoid of any element (the tao or thing in itself), the system proceeds by elaborating a key fourfold distinction (or “quaternity”) on the first level, a twelvefold distinction on the second level, and twelve quaternities (grouped in four quadrants, each with a set of three quaternities) on the third level. Each set of three quaternities (i.e., each quadrant) on the third level corresponds to one of the four “faculties” of the university, as elaborated in Kant’s book, The Conflict of the Faculties. Previous papers have examined the correlations between three key quaternities that Kant defends in relation to each of three faculties (philosophy, theology, and law) and the 12 gua that correspond to that faculty in the Compound Yijing. The final step is to explore the fourth quaternity on the third level, the 12 gua corresponding to the medical faculty. The “idea of reason” in Kant’s metaphysics that guides this wing of the comparative analysis is freedom, and the ultimate purpose of this faculty of the university is to train doctors to care for people’s physical well-being, as free agents imbedded in nature. But this paper will focus only on the four gua that correspond to four basic concepts in Kant’s theory of medicine. The two quaternities in the “yin-yang” (medical) quadrant of the Compound Yijing that will be skipped here are as follows. First, Kant’s account of the idea of freedom itself, which gives rise to the area of traditional metaphysics known as rational cosmology, comes in the first Critique’s Dialectic, in the section on the Antinomy of Reason (CPR A405-567/B432- 595). There he examines four irresolvable issues: whether the world has a beginning in time; whether composite substances consist of simple parts; whether a causality of freedom operates in the natural world; and whether an absolutely necessary being exists. Later I will argue that these correspond to the quaternity consisting of gua 15, 22, 36, and 52. (shrink)

This article explores the concept of androgyny and its representation in various religions and belief systems. The idea of energy balance between male and female is depicted in numerous religious symbols, such as Shivling, the Yin Yang symbol in Taoism, and the Hexagram in multiple religions. The article delves into the beliefs of different religions, including Islam, Judaism, Christianity, Buddhism, Jainism, and Sikhism, and how they emphasize the importance of balance between masculine and feminine energies. Ultimately, the article highlights the (...) importance of divine balance of energy which is important to bring balance and harmony. (shrink)

In the quest and search for a physical theory of everything from the macroscopic large body matter to the microscopic elementary particles, with strange and weird concepts springing from quantum physics discovery, irreconcilable positions and inconvenient facts complicated physics – from Newtonian physics to quantum science, the question is- how do we close the gap? Indeed, there is a scientific and mathematical fireworks when the issue of quantum uncertainties and entanglements cannot be explained with classical physics. The Copenhagen interpretation is (...) an expression of few wise men on quantum physics that was largely formulated from 1925 to 1927 namely by Niels Bohr and Werner Heisenberg. From this point on, there is a divergence of quantum science into the realms of indeterminacy, complementarity and entanglement which are principles expounded in Yijing, an ancient Chinese knowledge constructed on symbols, with a vintage of at least 3 millennia, with broken and unbroken lines to form stacked 6-line structure called the hexagram. It is premised on probability development of the hexagram in a space-time continuum. The discovery of the quantization of action meant that quantum physics could not convincingly explain the principles of classical physics. This paper will draw the great departure from classical physics into the realm of probabilistic realities. The probabilistic nature and reality interpretation had a significant influence on Bohr’s line of thought. Apparently, Bohr realized that speaking of disturbance seemed to indicate that atomic objects were classical particles with definite inherent kinematic and dynamic properties (Hanson, 1959). Disturbances, energy excitation and entanglements are processual evolutionary phases in Yijing. This paper will explore the similarities in quantum physics and the methodological ways where Yijing is pivoted to interpret observable realities involving interactions which are uncontrollable and probabilistic and forms an inseparable unity due to the entanglement, superposition Transgressing disciplinary boundaries in the discussion of Yijing, originally from the Western Zhou period (1000-750 BC), over a period of warring states and the early imperial period (500-200 BC) which was compiled, transcribed and transformed into a cosmological texts with philosophical commentaries known as the “Ten Wings” and closely associated with Confucius (551- 479 BC) with the Copenhagen Interpretation (1925-1927) by the few wise men including Niel Bohr and Werner Heisensberg would seem like a subversive undertaking. Subversive as the interpretations from Yijing is based on wisdom derived from thousands of years from ancient China to recently discovered quantum concepts. The subversive undertaking does seem to violate the sanctuaries of accepted ways in looking at Yijing principles, classical physics and quantum science because of the fortified boundaries that have been erected between Yijing and the sciences. Subversive as this paper may be, it is an attempt to re-cast an ancient framework where indeterminism, complementarity, non-linearity entanglement, superposition and probability interpretation is seen in today quantum’s realities. (shrink)

This is a revised version of a paper that was originally presented at the first Kant in Asia international conference (on the theme "The Unity of Human Personhood") in May of 2009. It was published as Chapter 64 in Cultivating Personhood: Kant and Asian Philosophy, ed. Stephen R. Palmquist (Berlin: Walter de Gruyter, 2010), pp.811-821. I argue that Kant and the Yijing both employ a form of architectonic reasoning, though their respective understandings of the logical structure of human reasoning are (...) incommensurable. A more thoroughly revised version of the paper was later published in the Journal of Chinese Philosophy and was followed by a series of several other articles arguing that there is a way of arranging the Yijing's 64 hexagrams such that their form is compatible with the form of Kant's table of categories. (shrink)

A modal interpretation of the 64 hexagrams of the Chinese classic 'Book of Changes', aka 'Yijing', 'I Ching'.

An arithmetic theory of oppositions is devised by comparing expressions, Boolean bitstrings, and integers. This leads to a set of correspondences between three domains of investigation, namely: logic, geometry, and arithmetic. The structural properties of each area are investigated in turn, before justifying the procedure as a whole. Io finish, I show how this helps to improve the logical calculus of oppositions, through the consideration of corresponding operations between integers.