Enneagrammatic (analogue) metaphysics
ENNEAGRAMMATIC METAPHYSICS (with cosmology)
Exposition of an actual mathematical discovery, with vast consequences.
The Enneagram of Gurdjieff’s teaching in Chapter 14 of P.D. Ouspensky’s In Search of The Miraculous is a model of what is intrinsic to and observable in all dynamic processes. (from: http://www.angelfire.com/ms/mark4enneagram/article3.html)
Research does not turn up solid traceable records of its use, until Gurdjieff, in the 1020’s, though something like it has been attributed to the Sufis, to whose esoteric tradition he himself gave credit. P.D. Ouspensky’s Ray of Creation, Vconstructed from the 7 “notes” on the inner side of the enneagram circle, provides a helpful point of departure in the cosmic application of Gurdjieff’s system. Nothing here contradicts his New Model of the Universe, as I understand it. It may be, however, that there is an even more succinct way to grasp the universal form through objective self-observation, which, for whatever reason, gets blocked from the understanding by alternate models.
This boldness in holding up the Enneagram as Vorstellung ueber alles key to unlocking the great mysteries of the universe -- space, time and life on planet earth, known and shared with each other in communication by humans is brought about ... by conceit of discovery of a humble truth. I call attention to the conjunction of intellectual interfaces here that have been previously overlooked by mathematicians, philosophers, physicists. I refer to the connection between the Enneagram and Pi, brought out as follows:
Q. What do these two numbers have in common?
1/7 (One divided by seven), and
22/7 (Twenty-two divided by seven) ?
A. The decimal expansion of 1/7 = 0.142857 … etc. ad infnitum
.. .. .. 22/7 = 3.1428457 … etc. ad infinitum
The difference between 22/7 and 1/7 is exactly 3.0.
The relevance of this mathematical fact is:
22/7 is the value Archimedes determined for the ratio of units in the diameter of a circle to its circumference. The decimal expansion later mathematicians designated “Pi” (greek letter written by double ‘t’e’s connected at the top, as in TT) is usually taken to be a correction of Archemides’ “approximation” to the true value. This, however, I wish to argue here, may be taken as an incursion of ‘irrational’-number preferring metaphysicians, for whom “Pi” is the passport to digitalism. The first three digits (1-4-2) do, in fact, provide sufficient triadic determinants for a bounded, internally organized (“fur selbst”) unit of reference (in an ideal language of science), with respect to time. “Beginning, middle, end”.\, as Pythagoras divided the line. “For as the Pythagoreans say, the all and all things are defined by threes; for end and middle and beginning constitute the number of trhe all and also the number of the triad.” (Aristotle, De coel. i.; 268 a.10)
This is the representation of a line circled, passing through a middle point, returning again to its origin. That is the only way of explaining the “all”, or unchangeable Monad. Its eternity must consist in perpetual return of the Source to Itself. The dynamic sequence of points along which this perpetually happening form a 7-fold seam, as it were, across the diameter of the Sphere of Completing Totalities.
If “The All” = The Monad = the “One” = what 7 encompases, then “0” can be taken as the “container” of 7, in the sense of bounding everything it does not include. “0” and “7” mark the metaphysical boundaries of rationally divided TokenSpace as a unity. “0” marks everything excluded from 7. It marks non-being, assuming “all things” fall under the 7 types of individuals. “1” marks the first movement from the completion of -0 to 8 (by -2-3-4-5-6-7 used for sequence on the 9-segment circumference); 2 marks the second movement along the line completed – coinciding with, but distinct from, the “2” in the third place of the decimal expansion of 1/7. “3” marks A PLACE ON THE 9 –SEGMENT CIRCUMFERENCE ONLY, DIRECTLY AFFECTING THE TRIAD 1-3 BY FEEDING IN AN ‘INFLUENCE’/FORCE , FROM THE 4TH-DIMENSION, DEFINUINGA HIGHER-LEVEL SOLID OFF THE 4TH OF THE 1-4-2 tradic plane. “4” marks ….(suspend process until later connections are made).
This I think holds a deep clue for decoding the relation of The Enneagram to TknSpc.
tbc
From the standpoint of the triad as three lines, as opposed to the standpoint of “three” divisions of one line, the 3rd, with its ‘new’ influence on the transition around the 1-9 circumference, make a “tetrad” – a figure defined by four points. The “three”, as a ‘post” every instance of a dynamic process must complete itself around, on the right-hand side of the Enneagram, is affected as energy-interchange polarities, by the content of “3”.
This illustrates, if briefly, the dynamics of the form of a process-sequence of two kinds: like cream-poured-into-coffee, never to be reversed. But also like the transformation of base metal into gold (alchemical ideal) – a process in which a ‘next’ stage cannot be reached except through a specific ‘prior’ which is pregnant with it, as it were, as a “telescopic unfolding”. This logic of transformation, comes in when the 4th is added to the 3, and as time is added by Pythagoras as the circumference of all three-dimensional circles of the universal globe. That is what Time is: the arc that completes the dimensions of a space containing triads. The arc of their completion. From this I take the notion of “Completing Totalities” as the metaphysical signature of this philosophy.
The next topic takes up the triad on the Left-hand side of the Enneagram, 8-5-7, intersected by an extraneous influence/force at 6, in mirror- image of the Right-hand triad, ‘turned’. This inner movement is completed by ‘7’ connecting back to ‘1’, then looping around again … -- except for a quantum of energy that continues along the outer circle to point 8, then arriving at 9, which coincides with 7,as the completing inner and outer circles through the inner 6. This would be the general form of all telescopic unfolding dynamic processes with 7 steps tracing a circle.
Exposition of an actual mathematical discovery, with vast consequences.
The Enneagram of Gurdjieff’s teaching in Chapter 14 of P.D. Ouspensky’s In Search of The Miraculous is a model of what is intrinsic to and observable in all dynamic processes. (from: http://www.angelfire.com/ms/mark4enneagram/article3.html)
Research does not turn up solid traceable records of its use, until Gurdjieff, in the 1020’s, though something like it has been attributed to the Sufis, to whose esoteric tradition he himself gave credit. P.D. Ouspensky’s Ray of Creation, Vconstructed from the 7 “notes” on the inner side of the enneagram circle, provides a helpful point of departure in the cosmic application of Gurdjieff’s system. Nothing here contradicts his New Model of the Universe, as I understand it. It may be, however, that there is an even more succinct way to grasp the universal form through objective self-observation, which, for whatever reason, gets blocked from the understanding by alternate models.
This boldness in holding up the Enneagram as Vorstellung ueber alles key to unlocking the great mysteries of the universe -- space, time and life on planet earth, known and shared with each other in communication by humans is brought about ... by conceit of discovery of a humble truth. I call attention to the conjunction of intellectual interfaces here that have been previously overlooked by mathematicians, philosophers, physicists. I refer to the connection between the Enneagram and Pi, brought out as follows:
Q. What do these two numbers have in common?
1/7 (One divided by seven), and
22/7 (Twenty-two divided by seven) ?
A. The decimal expansion of 1/7 = 0.142857 … etc. ad infnitum
.. .. .. 22/7 = 3.1428457 … etc. ad infinitum
The difference between 22/7 and 1/7 is exactly 3.0.
The relevance of this mathematical fact is:
22/7 is the value Archimedes determined for the ratio of units in the diameter of a circle to its circumference. The decimal expansion later mathematicians designated “Pi” (greek letter written by double ‘t’e’s connected at the top, as in TT) is usually taken to be a correction of Archemides’ “approximation” to the true value. This, however, I wish to argue here, may be taken as an incursion of ‘irrational’-number preferring metaphysicians, for whom “Pi” is the passport to digitalism. The first three digits (1-4-2) do, in fact, provide sufficient triadic determinants for a bounded, internally organized (“fur selbst”) unit of reference (in an ideal language of science), with respect to time. “Beginning, middle, end”.\, as Pythagoras divided the line. “For as the Pythagoreans say, the all and all things are defined by threes; for end and middle and beginning constitute the number of trhe all and also the number of the triad.” (Aristotle, De coel. i.; 268 a.10)
This is the representation of a line circled, passing through a middle point, returning again to its origin. That is the only way of explaining the “all”, or unchangeable Monad. Its eternity must consist in perpetual return of the Source to Itself. The dynamic sequence of points along which this perpetually happening form a 7-fold seam, as it were, across the diameter of the Sphere of Completing Totalities.
If “The All” = The Monad = the “One” = what 7 encompases, then “0” can be taken as the “container” of 7, in the sense of bounding everything it does not include. “0” and “7” mark the metaphysical boundaries of rationally divided TokenSpace as a unity. “0” marks everything excluded from 7. It marks non-being, assuming “all things” fall under the 7 types of individuals. “1” marks the first movement from the completion of -0 to 8 (by -2-3-4-5-6-7 used for sequence on the 9-segment circumference); 2 marks the second movement along the line completed – coinciding with, but distinct from, the “2” in the third place of the decimal expansion of 1/7. “3” marks A PLACE ON THE 9 –SEGMENT CIRCUMFERENCE ONLY, DIRECTLY AFFECTING THE TRIAD 1-3 BY FEEDING IN AN ‘INFLUENCE’/FORCE , FROM THE 4TH-DIMENSION, DEFINUINGA HIGHER-LEVEL SOLID OFF THE 4TH OF THE 1-4-2 tradic plane. “4” marks ….(suspend process until later connections are made).
This I think holds a deep clue for decoding the relation of The Enneagram to TknSpc.
tbc
From the standpoint of the triad as three lines, as opposed to the standpoint of “three” divisions of one line, the 3rd, with its ‘new’ influence on the transition around the 1-9 circumference, make a “tetrad” – a figure defined by four points. The “three”, as a ‘post” every instance of a dynamic process must complete itself around, on the right-hand side of the Enneagram, is affected as energy-interchange polarities, by the content of “3”.
This illustrates, if briefly, the dynamics of the form of a process-sequence of two kinds: like cream-poured-into-coffee, never to be reversed. But also like the transformation of base metal into gold (alchemical ideal) – a process in which a ‘next’ stage cannot be reached except through a specific ‘prior’ which is pregnant with it, as it were, as a “telescopic unfolding”. This logic of transformation, comes in when the 4th is added to the 3, and as time is added by Pythagoras as the circumference of all three-dimensional circles of the universal globe. That is what Time is: the arc that completes the dimensions of a space containing triads. The arc of their completion. From this I take the notion of “Completing Totalities” as the metaphysical signature of this philosophy.
The next topic takes up the triad on the Left-hand side of the Enneagram, 8-5-7, intersected by an extraneous influence/force at 6, in mirror- image of the Right-hand triad, ‘turned’. This inner movement is completed by ‘7’ connecting back to ‘1’, then looping around again … -- except for a quantum of energy that continues along the outer circle to point 8, then arriving at 9, which coincides with 7,as the completing inner and outer circles through the inner 6. This would be the general form of all telescopic unfolding dynamic processes with 7 steps tracing a circle.
posted by Sid Thomas | 11:29 PM
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