There be dragons!

Tuesday, January 5, 2010

Again with the geometric esoteria

Premise = mathematics, art, music, literature are all languages for expressing the same reality. Forms used in one correspond to forms used in another.

Tragedy = movement from high to low

Comedy = movement from low to high

Comedy and Tragedy are not mutually exclusive but only find their fulness when united together as one; the best comics are those who also see the tragedy of the world; the best tragedians and tragedies are those that also recognize the existence of comedy.

Conclusion; comedy and tragedy are two sides of the same coin, united together to achieve a harmonious union; Like the god Janus: from experience we gain suffering, from suffering understanding. thus the truly wise are not just tragically morbid, nor comically flighty but a combination of the two, bitter & sweet, sorrowful & joyful, wine & water.

This combination is the alchemical exchange represented by two interlocking triangles (the Star of David) in which lead (tragedy, earthly, base) is transformed into gold (comic, heavenly, sublime). But the exchange is the harmonic good, not just the gold.
Early mathematicians expressing this idea through the use of stones or pearls to represent numerical combination. In Matthew 14.31 the army of 10,000 facing the army of 20,000;

Or suppose a king is about to go to war against another king. Will he not first sit down and consider whether he is able with ten thousand men to oppose the one coming against him with twenty thousand? If he is not able, he will send a delegation while the other is still a long way off and will ask for terms of peace. In the same way, any of you who does not give up everything he has cannot be my disciple.

...a 1 to 2 ratio expressed through the use of pearls (one pearl = 1,000 soldiers); thus a tetrahedron of 1,3,6 pearls (10) facing a tetrahedron of 1,3,6,10 (20) pearls. The tetrahedron representing the image of Mars (Ares) god of war, carnage, violence and death - also the pyramids - also the movement of the Monad (oneness) to the indefinite Dyad (3+). When joined they become the crystal = image of Hermes, god of wisdom & understanding & harmony (Hermes Trismagistos).

The image of combined tetrahedrons is similar to the combined triangles of the alchemical exchange. Also similar to the combination of the square & the rectangle = golden proportion; a:b::b:c = representation of true harmonic proportion and the basic blueprint of all created life. Represented by the movement out of the cave and movement back into the cave which is the earmark of the true philosopher.

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