Fibonacci S*tring Consciousness
PSYCHOSEMIOTICS
AND THE S*TRING THEORY OF CONSCIOUSNESS
REINVENTING THE WHEEL OF COMMUNUCATION
THAT'S WHAT THAT IS
(You know...If I S IS ISIS )
Fibbonaci-like S* syntheses
Ex.: I S IS ISIS
synthesis 1: letters "I" and "S" into word "IS"
synthesis 2: The letter-to-word synthesis used as antecedant: "I S IS ..."
synthesis 3: a repetition of cancelled space worked backward in the repition of the letter-words as a name.
Thus, those who know English grammar and Egyptian mythology will read the sequence as the cumulative synthesis of letters for the copula, "is" doubled in the name of the Goddess, as if the truth-connection holding between subject and predicate in true sentences were vouchafed are 'seen' by Her grace. The same mythopoeic metaphor can be found in ancient Athens, with the Great Goddess bringing love of wisdom in logical discouse. The triple synthesis expresses not so much a though as a profound evocation.
It also shows the way strings of sign-use (S*) can curl upon themselves, loop back through the series of tokens traversed to a certain point, in the manner of getting the next number in a fibonacci series by adding the one just reached (N+1) to the previous (N) (Ex.: after 5, 8, by going backing to add 3; after 8, 13, etc.). The successive synthesis involved in reading "I S IS ISIS" brings the three distinct moments into a whole, for consciousness. The S*tring theory of consciousness holds that brains have come to cap off lower skeletal/organic neural processes in such a way as to generate strings of signs that reproduce relationships in reality in general (among the objects signified).
The advantage of this simple arithmetic metaphor is its correlation of the acts of folding, or looping the results of one process into another, with a line spiraling through Fibonacci rectangles and Sea Shells:
http://www.mcs.surrey.ac.uk/Personal/R.Knott/Fibonacci/fibnat.html#spiral
Fibonacci Rectangles and Shell Spirals
picture here
We can make another picture showing the Fibonacci numbers 1,1,2,3,5,8,13,21,.. if we start with two small squares of size 1 next to each other. On top of both of these draw a square of size 2 (=1+1).
We can now draw a new square - touching both a unit square and the latest square of side 2 - so having sides 3 units long; and then another touching both the 2-square and the 3-square (which has sides of 5 units). We can continue adding squares around the picture, each new square having a side which is as long as the sum of the latest two square's sides. This set of rectangles whose sides are two successive Fibonacci numbers in length and which are composed of squares with sides which are Fibonacci numbers, we will call the Fibonacci Rectangles.
Picture here
Here is a spiral drawn in the squares, a quarter of a circle in each square. The spiral is not a true mathematical spiral (since it is made up of fragments which are parts of circles and does not go on getting smaller and smaller) but it is a good approximation to a kind of spiral that does appear often in nature. Such spirals are seen in the shape of shells of snails and sea shells and, as we see later, in the arrangment of seeds on flowering plants too. The spiral-in-the-squares makes a line from the centre of the spiral increase by a factor of the golden number in each square. So points on the spiral are 1.618 times as far from the centre after a quarter-turn. In a whole turn the points on a radius out from the center are 1.6184 = 6.854 times further out than when the curve last crossed the same radial line.
*******
Further construction on the spiral line
When a line divided into equal lengths 1/7th of the whole, is imagined as a spiral passing through the squares of 13, 8, 5,3,2,1,1, the ordered squares on rectangles increasing from vanishing point inward, to indefinitely expanding radius-diameter outward. The seven sections of the line correspond to:
-The seven levels of Token types* for content of consciousness, each preceeding as one "Square" through the series
-The seven notes of the musical octave
-The seven hues of color
-The seven orbital rings of electronic valency around the nucleus of an atom
-The seven days of the week
-Whatever other sevens in nature can be bound by S*rings of their own
All these can be ordered as successive Fibonacci squares, as if they were worlds with separate, more inclusive processes, all seven connected by the two ends of the S*tring, as the return to "Do" connects the notes Ti-La-Sol-Fa-Mi-Re from above and below in the octave of wave lengths. The ratios of volumes of the series, cubed (expanded in three dimensions), define the relative scale of actual wave lengths broken down into the seven volumes as real segments of any totality. This is the psychosemiotic statement of Gurdjieff's Law of Heptaparaparshinok.
AND THE S*TRING THEORY OF CONSCIOUSNESS
REINVENTING THE WHEEL OF COMMUNUCATION
THAT'S WHAT THAT IS
(You know...If I S IS ISIS )
Fibbonaci-like S* syntheses
Ex.: I S IS ISIS
synthesis 1: letters "I" and "S" into word "IS"
synthesis 2: The letter-to-word synthesis used as antecedant: "I S IS ..."
synthesis 3: a repetition of cancelled space worked backward in the repition of the letter-words as a name.
Thus, those who know English grammar and Egyptian mythology will read the sequence as the cumulative synthesis of letters for the copula, "is" doubled in the name of the Goddess, as if the truth-connection holding between subject and predicate in true sentences were vouchafed are 'seen' by Her grace. The same mythopoeic metaphor can be found in ancient Athens, with the Great Goddess bringing love of wisdom in logical discouse. The triple synthesis expresses not so much a though as a profound evocation.
It also shows the way strings of sign-use (S*) can curl upon themselves, loop back through the series of tokens traversed to a certain point, in the manner of getting the next number in a fibonacci series by adding the one just reached (N+1) to the previous (N) (Ex.: after 5, 8, by going backing to add 3; after 8, 13, etc.). The successive synthesis involved in reading "I S IS ISIS" brings the three distinct moments into a whole, for consciousness. The S*tring theory of consciousness holds that brains have come to cap off lower skeletal/organic neural processes in such a way as to generate strings of signs that reproduce relationships in reality in general (among the objects signified).
The advantage of this simple arithmetic metaphor is its correlation of the acts of folding, or looping the results of one process into another, with a line spiraling through Fibonacci rectangles and Sea Shells:
http://www.mcs.surrey.ac.uk/Personal/R.Knott/Fibonacci/fibnat.html#spiral
Fibonacci Rectangles and Shell Spirals
picture here
We can make another picture showing the Fibonacci numbers 1,1,2,3,5,8,13,21,.. if we start with two small squares of size 1 next to each other. On top of both of these draw a square of size 2 (=1+1).
We can now draw a new square - touching both a unit square and the latest square of side 2 - so having sides 3 units long; and then another touching both the 2-square and the 3-square (which has sides of 5 units). We can continue adding squares around the picture, each new square having a side which is as long as the sum of the latest two square's sides. This set of rectangles whose sides are two successive Fibonacci numbers in length and which are composed of squares with sides which are Fibonacci numbers, we will call the Fibonacci Rectangles.
Picture here
Here is a spiral drawn in the squares, a quarter of a circle in each square. The spiral is not a true mathematical spiral (since it is made up of fragments which are parts of circles and does not go on getting smaller and smaller) but it is a good approximation to a kind of spiral that does appear often in nature. Such spirals are seen in the shape of shells of snails and sea shells and, as we see later, in the arrangment of seeds on flowering plants too. The spiral-in-the-squares makes a line from the centre of the spiral increase by a factor of the golden number in each square. So points on the spiral are 1.618 times as far from the centre after a quarter-turn. In a whole turn the points on a radius out from the center are 1.6184 = 6.854 times further out than when the curve last crossed the same radial line.
*******
Further construction on the spiral line
When a line divided into equal lengths 1/7th of the whole, is imagined as a spiral passing through the squares of 13, 8, 5,3,2,1,1, the ordered squares on rectangles increasing from vanishing point inward, to indefinitely expanding radius-diameter outward. The seven sections of the line correspond to:
-The seven levels of Token types* for content of consciousness, each preceeding as one "Square" through the series
-The seven notes of the musical octave
-The seven hues of color
-The seven orbital rings of electronic valency around the nucleus of an atom
-The seven days of the week
-Whatever other sevens in nature can be bound by S*rings of their own
All these can be ordered as successive Fibonacci squares, as if they were worlds with separate, more inclusive processes, all seven connected by the two ends of the S*tring, as the return to "Do" connects the notes Ti-La-Sol-Fa-Mi-Re from above and below in the octave of wave lengths. The ratios of volumes of the series, cubed (expanded in three dimensions), define the relative scale of actual wave lengths broken down into the seven volumes as real segments of any totality. This is the psychosemiotic statement of Gurdjieff's Law of Heptaparaparshinok.
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