The Tao of the I-Ching - A Mathematical-Spiritual Revelation Lost for Over Three Millennia by EA Harper (2003).pdf - I-Ching - morefaya2006

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The Tao of the I Ching

A Mathematical - Spiritual Revelation

Lost for Over Three Millennia

E. A. Harper

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No part of the electronic paper may be reproduced or utilized in any

form or any means,electronic or mechanical without the permission

in writing from the author.

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Published in New Zealand by the author.

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tedharper@xtra.co.nz

The Tao of the I Ching

The Tao of the I Ching - Introduction

ÐIt cannot remain in the dark forever that we are touched here on an Archimedean principle, with the help of which our

occidental thinking could be unhingedÑ.

CG Jung

INTRODUCTION

Although the true origins of the I Ching are lost in the mists of time the widely accepted legend is that the eight tri-grams line

patterns of the I Ching was observed as a pattern on the back of a tortoise as it came out of a river by the sage Fu Hsi around 3000

BC.

This paper provides significant new insights into the structure of the 8

tri-grams and the 64 hexagrams created from them by King Wen 2000

years later . These insights are gained through a realization that the

trigrams of the I Ching are not only a symbolic representations of the

binary system but also the Base 8 (octal) system. These new insights

will contribute to a major paradigm shift in Western mathematical

thinking, a deeper appreciation for the ancient wisdom of the Chinese

and also provide an aid for deeper understanding of oracle readings.

EAST MEETS WEST

Leibniz, the mathematician who shared with Newton the credit for the

creation of calculus, was sent a copy of the I Ching from China by the

Jesuit priest Bouvet in 1689. This copy included a list of the hexagrams

(see next page) and Fu Hsi tri-gram diagram.

Fu Hsi Trigrams Pattern

Even though the hexagrams were not in numerical order Leibniz recognized these as binary representations and the hexagrams as the

first 64 integers from 0 to 63. He was amazed to find in so ancient a source the very idea he was working on i.e. that 0 and 1 ( yin

and yang) can in principle build all numerical systems. In 1703 he published his first paper on binary integers in which he

acknowledged their oriental origin.

LIST OF HEXAGRAMS IN

THE TRADITIONAL HEXAGRAM ORDER

BINARY NUMBERS

Binary numbers only consist of zero and one. As will be shown on the following pages, all the numbers in the decimal system

(the number system we use on a daily basis), can be renamed in binary. The binary sequence is reflected in the symbols of the yin

and yang, the broken line representing zero and the unbroken line representing one.

Yang

Yin

BASE 8 SYSTEM

Base 8 (octal) system only go up to 7 and doesnÓt use the numerals 8 and 9. In the same way as binary, all the decimal numbers

can be renamed using the numbers 0 to 7. The inherent nature of the tri-grams and hexagrams is binary (or on and off) and octal.

The octal sequence of the tri-grams representing is shown below. A new set of trigrams is required to continue the count beyond

7 is shown on page 9.

The Tao of the I-Ching - A Mathematical-Spiritual Revelation Lost for Over Three Millennia by EA Harper (2003).pdf

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