In the continuing analysis of the methodologies we use in deriving meaning, In the IC+ work we have been able
to identify relationships that seem to stem from the METHOD of deriving the trigrams and hexagrams of the I Ching.
In particular we have identified properties that stem from the use of recursion of the yin/yang dichotomy (or any
dichotomy for that matter) where each level of recursion elicits a set of symbols representing qualities we can
use to map reality. (this is isomorphic (identical in form, labels differ) to the more generic IDM
process)
Focusing on the trigrams (where the patterns here discussed are easily applicable to all other levels as done to
the hexagrams in ICMATRIX), the initial recursions of yin/yang takes us quickly to
a level (2^3) of the eight trigrams which we can represent in binary digit formats, reading from left-to-right
representing reading from base line to top line. The eight symbols are:
000, 001, 010, 011, 100, 101, 110, 111
These represent:
earth, mountain, water, wind, thunder, fire, lake, heaven.
These are all SCALAR expressions, the qualities only reflect magnitudes. To derive finer details we have to differentiate
each of these scalars and in doing so we derive the VECTOR through a trigram from bottom to top and we do this
by stepping through the binary digits changing each as we go (reflects the changing lines process - 2^3 gives us
8 possible expressions). Here are the eight vectors for the above scalars:
000, 100, 010, 110, 001, 101, 011, 111
001, 101, 011, 111, 000, 100, 010, 110
010, 110, 000, 100, 011, 111, 001, 101
100, 000, 110, 010, 101, 001, 111, 011
101, 001, 111, 011, 100, 000, 110, 010
110, 010, 100, 000, 111, 011, 101, 001
111, 011, 101, 001, 110, 010, 100, 000
What emerges from these vectors is a concept reflected in tensors, namely the quality of a particular line(s) expression,
its response to a stimulus. This seems to be derived by swapping the last four elements of the vector with the
first four, thus:
For 000 scalar
000, 100, 010, 110, 001, 101, 011, 111 (vector)
001, 101, 011, 111, 000, 100, 010, 110 (tensor concept)
What this does is map a trigram now serving as a source of analogy to the corresponding line patterns through the
vector. Thus the 'raw' nature of trigram 000 is described by analogy to trigram 001, keeping still, mountain. The
quality of the first line of 000 is described by analogy to trigram 101, the clinging, fire...
line 0 - 001 (general raw quality)
line 1 - 101 (rawest base line quality)
line 2 - 011
line 1 + 2 - 111
line 3 - 000 (pure, refined, static yin)
line 1 + 3 - 100 (base dynamic analogy)
line 2 + 3 - 010
line 1 + 2 + 3 - 110 ('best' expression of yin in a dynamic form)
What all of this 'says' is that the general scalar of yin, earth, the receptive, has its raw nature reflected in
keeping still (self-restraining)
The next level of quality is made by analogy to the trigram of fire, the clinging. This focuses on exactly that
- the NEED to cling to something/someone and so express oneself through that (covers the concept of seeking guidance/an
ideology) If a stimulus is to this line the response is reflected in the general nature of earth + the analogy
of fire etc.
The next level of quality is made by analogy to the trigram of wind, the gentle. It reflects cultivation and a
developing influence.
The next level of quality is made by analogy to the trigram of yang, the creative. It reflects perseverence and
the development of singlemindedness about the belief.
the next level of quality is made by analogy to the trigram of earth, the receptive. Here we have reached the 'pinnicle'
of the quality of earth as a static form. ALL up we have:
(1) self-restraint to start.
(2) 'cling' to something/someone (belief etc) (line 1)
(3) cultivate that process. (line 2)
(4) become 'singleminded' about 'whatever' (line 1 + 2)
(5) you have reached the concept of 'earth' as an example of pure devotion and trust (line 3)
The next three qualities deal with 'transcending' the static, moving into the dynamic. As such the next level of
quality is for line 1+3. Analogy here is to thunder, the arousing. This 'says' that at least one can (or can be)
enlighten(ing, ed).
The next level of quality (2+3) is made by analogy to water, the abysmal (containment/control)
The final level of quality (1+2+3) reflects the 'best' perspective - reflection of the belief (expressions of 'love'
'joy' etc)
Here are the vector/tensor sets for the other scalars:
001 (scalar)
001, 101, 011, 111, 000, 100, 010, 110 (vector)
000, 100, 010, 110, 001, 101, 011, 111 (tensor concept)
(the 'best' perspective is in the singlemindedness about one's discernments)
010
010, 110, 000, 100, 011, 111, 001, 101
011, 111, 001, 101, 010, 110, 000, 100
(the 'best' perspective is in the enlightened manner of one's containment/control)
100
100, 000, 110, 010, 101, 001, 111, 011
101, 001, 111, 011, 100, 000, 110, 010
(the 'best' perspective is in containment/control of one's enlightenment/awareness)
101
101, 001, 111, 011, 100, 000, 110, 010
100, 000, 110, 010, 101, 001, 111, 011
(the 'best' perspective is in the cultivation/development of influence of one's guide/ideology)
110
110, 010, 100, 000, 111, 011, 101, 001
111, 011, 101, 001, 110, 010, 100, 000
(the 'best' perspective is in the devotion to one's intense self-reflections)
111
111, 011, 101, 001, 110, 010, 100, 000
110, 010, 100, 000, 111, 011, 101, 001
(the 'best' perspective is in the discernment in one's singlemindedness)