The 7 predication loops
THE 7 PREDICATION LOOPS
The interval between “God”, for the completing (unlimited) totality (as a content of consciousness….and a dream, for instance that of the burning boy recorded by Freud in l900 (“Interpretation of Dreams”, Ch. 7, 1), can be represented as the span between 7 and 1, interpreted as opposite directions in which the upper and lower triads of sign-use point in tokenspace. “God”, the one-word token of all totalities is 7. This number is arithmetically unique, apart from Biblical and esoteric associations. The 6 digits in its ratio expansion yields this system of repetitions:
7/1 = 0.142857142…
7/2 = 0.285714285….
7/3 = 0.428571428….
7/4 = 0.571428571….
7/5 = 0.714285714….
7/6 = 0.857142857…
7/7 = 1.0000000000
Whatever corresponds to a unity divided into seven parts can be described by this schema. This includes: white light divided into 7 hues; the period of sound waves between Middle C vibrating across the 7 tone octave scale. The “week” of seven days describes the otherwise arbitrary duration of 7 orbital revolutions as a unit of reference, as if some totality were completed in it. Then, of course, there is the Bible story of God creating all that exists in just such a 6 day creation cycle; and on the seventh day "He rested from all the work he had done." As if the cycle of Being, itself, issuing from Him, is returned to itself: the One divided into 7 returning to itself, as in the above limited (in re tokens) –unlimited (in re text) schema. These formal coincidences are thus not coincidental, but part of a rudimentary framework of all (S is P) sentence forms when “P” is 1 or 4 or 2 or 8 or 5 or 7. The order of ratios is the hierarchy of totalities; dreams would be predicates of type 7/1 – the organism predicating on itself, as it were, in the gentle back-flow from lower triad memory to the brain in altered state with body at total rest. 7/2 corresponds to that same world described by the dream, with interpretation, when the qualitative state only semi-conscious in dreams becomes the total vivid expanse perceived in waking daily consciousness, minus the assumption that anything exists corresponding to material bodies. This is the phenomenal stratum, or level of consciousness required by the causal theory of sense perception and the synthetic character of the S is P connection when the “P” is predicate of material objects. (level 3)
If the 7/1 ratios as totalities are arranged in a cycle, the 6 resulting cycles can be correlated in other dimensions than the three described in the 2-dimensional tokenspace identity schema above through the consonant numbered positions. Each level will reproduce the same world as its next lower and higher, 7 joining with itself as the One.
Gurdjieff has interpreted the Anneagram by inserting the numerals 3,6,9, missing from the cycles of predicate propositions, inside the two-dimensional circle drawn with segments named for ratios. Translated into acoustic matter, the segments would be marked Do, Re, Mi, Fa, Sol, La, Ti. At the next cycle, “Do” begins the identical sequence at a higher level of vibration. The 3-6-9 triad is drawn inside the circle between the notes, binding their cyclic dynamic to a triad/entity.
Thus interpreted, the above schema, as a cube of 49 squares is a unique container of the worlds described by the 7-stage hierarchy of tokens in sign-use. Even as the two-dimensional triad drawn inside a circle divided into seven segments gives the full 9 digits required for Arabic arithmetic tokens, so the three dimensional cube of 49 cubes, filled by a tetrahedron, gives 112249 ways its four points combine with each of the parallel 6-digit 7 totality units. These would correspond to ways reality could be projected in consciousness under sign-use.
In this interpretation, “God”, token for the text of completing totality, can only be identical with the cube of 49 cubes taken as a totality of predicates of all there is. As a unity, this is something both distinct from each of the parts, taken separately; yet not distinct from all taken together. The contradiction does not lie in God as the predicate of unity, but in the way of turning the cube, as text and token. Each of the 49 sub-cubes mirrors what is taking place in the whole, in its own totality. Thus 50 = 49 = 7^2 is a triadic token sequence that is the work of the upper triad. It is a model of the Holy trinity; also, of a hologrammatic reproduction dynamic.
Thus it is also “50”: 49 as 1, the unity in all the predicate cycles arranged around the tetrahedron, as seven is the unity of all cycles of predicates in the two dimensional circle. Perhaps this defines predicates of the three dimensional sphere containing tokenspace, and mapped back through it, on it, by tokens becoming aware of themselves so situated, in “time”. The totality of these predicates would be the field of contents of consciousness. Thus this system of 7 token types aspires to the claim of signifying the universe, what exists, under sign-uses communicating contents of consciousness.
The interval between “God”, for the completing (unlimited) totality (as a content of consciousness….and a dream, for instance that of the burning boy recorded by Freud in l900 (“Interpretation of Dreams”, Ch. 7, 1), can be represented as the span between 7 and 1, interpreted as opposite directions in which the upper and lower triads of sign-use point in tokenspace. “God”, the one-word token of all totalities is 7. This number is arithmetically unique, apart from Biblical and esoteric associations. The 6 digits in its ratio expansion yields this system of repetitions:
7/1 = 0.142857142…
7/2 = 0.285714285….
7/3 = 0.428571428….
7/4 = 0.571428571….
7/5 = 0.714285714….
7/6 = 0.857142857…
7/7 = 1.0000000000
Whatever corresponds to a unity divided into seven parts can be described by this schema. This includes: white light divided into 7 hues; the period of sound waves between Middle C vibrating across the 7 tone octave scale. The “week” of seven days describes the otherwise arbitrary duration of 7 orbital revolutions as a unit of reference, as if some totality were completed in it. Then, of course, there is the Bible story of God creating all that exists in just such a 6 day creation cycle; and on the seventh day "He rested from all the work he had done." As if the cycle of Being, itself, issuing from Him, is returned to itself: the One divided into 7 returning to itself, as in the above limited (in re tokens) –unlimited (in re text) schema. These formal coincidences are thus not coincidental, but part of a rudimentary framework of all (S is P) sentence forms when “P” is 1 or 4 or 2 or 8 or 5 or 7. The order of ratios is the hierarchy of totalities; dreams would be predicates of type 7/1 – the organism predicating on itself, as it were, in the gentle back-flow from lower triad memory to the brain in altered state with body at total rest. 7/2 corresponds to that same world described by the dream, with interpretation, when the qualitative state only semi-conscious in dreams becomes the total vivid expanse perceived in waking daily consciousness, minus the assumption that anything exists corresponding to material bodies. This is the phenomenal stratum, or level of consciousness required by the causal theory of sense perception and the synthetic character of the S is P connection when the “P” is predicate of material objects. (level 3)
If the 7/1 ratios as totalities are arranged in a cycle, the 6 resulting cycles can be correlated in other dimensions than the three described in the 2-dimensional tokenspace identity schema above through the consonant numbered positions. Each level will reproduce the same world as its next lower and higher, 7 joining with itself as the One.
Gurdjieff has interpreted the Anneagram by inserting the numerals 3,6,9, missing from the cycles of predicate propositions, inside the two-dimensional circle drawn with segments named for ratios. Translated into acoustic matter, the segments would be marked Do, Re, Mi, Fa, Sol, La, Ti. At the next cycle, “Do” begins the identical sequence at a higher level of vibration. The 3-6-9 triad is drawn inside the circle between the notes, binding their cyclic dynamic to a triad/entity.
Thus interpreted, the above schema, as a cube of 49 squares is a unique container of the worlds described by the 7-stage hierarchy of tokens in sign-use. Even as the two-dimensional triad drawn inside a circle divided into seven segments gives the full 9 digits required for Arabic arithmetic tokens, so the three dimensional cube of 49 cubes, filled by a tetrahedron, gives 112249 ways its four points combine with each of the parallel 6-digit 7 totality units. These would correspond to ways reality could be projected in consciousness under sign-use.
In this interpretation, “God”, token for the text of completing totality, can only be identical with the cube of 49 cubes taken as a totality of predicates of all there is. As a unity, this is something both distinct from each of the parts, taken separately; yet not distinct from all taken together. The contradiction does not lie in God as the predicate of unity, but in the way of turning the cube, as text and token. Each of the 49 sub-cubes mirrors what is taking place in the whole, in its own totality. Thus 50 = 49 = 7^2 is a triadic token sequence that is the work of the upper triad. It is a model of the Holy trinity; also, of a hologrammatic reproduction dynamic.
Thus it is also “50”: 49 as 1, the unity in all the predicate cycles arranged around the tetrahedron, as seven is the unity of all cycles of predicates in the two dimensional circle. Perhaps this defines predicates of the three dimensional sphere containing tokenspace, and mapped back through it, on it, by tokens becoming aware of themselves so situated, in “time”. The totality of these predicates would be the field of contents of consciousness. Thus this system of 7 token types aspires to the claim of signifying the universe, what exists, under sign-uses communicating contents of consciousness.
posted by Sid Thomas | 3:24 PM
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