Saturday, October 12, 2013

The Book Of Three

The Book Of Three

On Interpreting the Ternary Trigram

Ternary trigrams are triples of ternary logic values; that is, they are triples (k,l,m) of values, each one of which is drawn from the set {t,i,f}; three-valued logic. i = the "intermediate", "inner", or "imaginary" logic value. The inner value 'i' solves paradox; it equals its own negation:
i         =        not i
For this essay, I shall denote "false" by -, "inner" by 0, and "true" by +.

There are 3*3*3 = 27 ternary trigrams. This is between the I Ching's 8 trigrams and 64 hexagrams. We find a trigram by rolling a die three times:
1 or 2 = - ;  3 or 4 = 0 ;  5 or 6 = +
There are other methods involving drawing cards, flipping coins, etc. Because of the random nature of these methods, their user should expect them to yield novelty, not information; questions, not answers. Have fun but don’t believe.

The three components of the trigram are the three "voters":
Curly  =  Majority Rule  =  Heart
Curly ranks Logic < Power < Fairness
Larry  =    Consensus    =  Mind
Larry ranks Power < Fairness < Logic
Moe    =    Monarchy     =  Spirit
Moe ranks Fairness < Logic < Power

Thus the Ternary Trigrams involve both Liar Paradox and Voter's Paradox.

The three core trigrams:

--- = Falsehood.
The Bottom. Soul's Midnight. Disaster; perversity rules. Misery and death; all fall down. I am not.
C says: 10,000 hovels to support a palace.
L says: One equals zero. Fatal error.
M says: My enemies rejoice at my defeat.

The Inner. Soul's Dawn and Dusk. Status quo; the same old chaos. Seed of self; origin of being. The vague center. This sentence is false; I am not I.
C says: All men vainly seek advantage.
L says: Order within chaos; chaos within order.
M says: I will be what I will be.

+++ = Truth.
The Top. Soul's Noon. Supreme success; consensus of heart, mind and spirit. Breakthrough to peace, love, and joy. I am I.
C says: In unity there is strength.
L says: Truth is beauty, beauty truth.
M says: I celebrate our success.

The 27 ternary trigrams:

--- = Falsehood
--0 = Pride
--+ = Cruelty
-0- = Despair
-00 = Ignorance
-0+ = Privilege
-+- = Weakness
-+0 = Logic
-++ = Wisdom
0-- = Shame
0-0 = War
0-+ = Power
00- = Bondage
00+ = Freedom
0+- = Humility
0+0 = Peace
0++ = Hope
+-- = Folly
+-0 = Intuition
+-+ = Strength
+0- = Fairness
+00 = Knowledge
+0+ = Courage
++- = Justice
++0 = Faith
+++ = Truth

These can be matched to the 8 corners, +2 edges, 0 faces, and + body of a cube. The corners are the boolean triples, the edges are the triples with a single 0, the faces are the triples with two 0's, and the body matches to the triple 000.

The 8 corners:
--- = Falsehood
--+ = Cruelty
-+- = Weakness
+-- = Folly
++- = Justice
+-+ = Strength
-++ = Wisdom
+++ = Truth

The 12 edges:                   Connects:
--0 =Pride              Falsehood, Cruelty
-+0 = Logic            Weakness, Wisdom
+-0 = Intuition       Folly, Strength
++0 = Faith            Justice, Truth
-0- = Despair          Falsehood, Weakness
-0+ = Privilege       Cruelty, Wisdom
+0- = Fairness        Folly, Justice
+0+ = Courage       Strength, Truth
0-- = Shame           Falsehood, Folly
0-+ = Power           Cruelty, Strength
0+- = Humility       Weakness, Justice
0++ = Hope            Wisdom, Truth

The 6 faces:                     Connects:
-00 = Ignorance     Falsehood, Cruelty, Weakness, Wisdom
+00 = Knowledge  Folly, Strength, Justice, Truth
0-0 = War              Falsehood, Cruelty, Folly, Strength
0+0 = Peace           Weakness, Wisdom, Justice, Truth
00- = Bondage       Falsehood, Weakness, Folly, Justice
00+ = Freedom      Cruelty, Wisdom, Strength, Truth

The 1 body:
000 = Paradox                  Connects to all.