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Saundarya Lahari
SAUNDARYA LAHARI - VERSE 2
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SAUNDARYA LAHARI
VERSE 2
A PARTICLE WORLD
विरिञ्चिः सञ्चिन्वन् विरचयति लोका-नविकलम् ।
वहत्येनं शौरिः कथमपि सहस्रेण शिरसां
हरः सङ्क्षुद्-यैनं भजति भसितोद्धूल नविधिम्
virincih sancinvan viracayati lokan avakilam
vahaty enam saurih katham api sahasrena sirasam
haras samksudyainam bhajati bhasitod dhulanavidhim
Brahma gathers up and the worlds creates.
Vishnu incessantly bears them up somehow with his thousand heads
And Shiva having shaken it up, accomplishes with it his ash-wearing rite.
Heat must be countered by cold; and creation by destruction, in any process conceived in its totality. Modern phenomenologists have tried to describe human life as an epoché, enclosed within brackets, one evidently being at the top and the other at the bottom. Shiva's function has thus to be put in its proper structural perspective. This task is not easy, even for modern physicists, but in the sequence of verses that follows, the ancient speculative tradition in India takes up this challenge with as much confidence and dignity as modern theoretical physics.
(Epoché: "suspension" is an Ancient Greek term which, in its philosophical usage, describes the theoretical moment where all judgments about the existence of the external world, and consequently all action in the world, is suspended. One's own consciousness is subject to immanent critique so that when such belief is recovered, it will have a firmer grounding in consciousness. ED)
Taniyamsum pamsum = extremely fine dust.
Ta va charana pankeruha bhavam - Virinchih = arising out of thy lotus feet, Brahma.
Sanchinvan virachayati lokan = makes the worlds.
Avikalam vahati = bears up each from each distinctly
Enam = this (the worlds)
Saurih kathamapi = Vishnu somehow.
Sahasrena sirasam = with even his thousand heads.
Harah samkshudya = Rudra having shaken it up, beaten it up as for an omelette.
Enam = this.
Bhajati = serves with it, accomplishes as benefit out of it.
Bhasito dhulana vidhim = the ash-smearing rite.
Another version:
taniyamsam pamsum - the fine dust
tava carana pankeruha bhavam - arising out of Your lotus feet
virincih - Brahma
sabcinvan viracayati - gathering up
lokan avikalam - the worlds creates
avikalan vahaty - incessantly he bears
evam - this same
saurih katham api - Vishnu somehow or other
sahasrena sirasam - by his thousand heads
harah samksudyainam - Shiva, having shaken it up
bhajati - accomplishes religiously
bhasito viddhulana vidhim - (his) ash wearing rite.
Thus existence, subsistence and value with pluralistic, horizontal reference are all capable of structural recognition in this verse.
(The structural diagrams of the previous verse can be used for this verse also.)
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The Absolute hides a paradox, if you do not resolve the paradox, there is no salvation.
Absolute negativity is the Goddess (horizontality), the absolute vertical positive is Shiva.
Without the numerator Omega Point, the paradox cannot be resolved and yet, Shiva is powerless without Shakti.
Shiva destroys the three cities (that is, the three worlds of heaven, earth and what is between) i.e. he cancels them out.
Shakti attains to Shiva by being loyal to him.
The relationship between Shiva and Shakti is reciprocal, compensatory and cancelable.
They are put together in such a way that the paradox is presented.
Where paradox is resolved, the Absolute is revealed.
A Brahmin goes to heaven and enjoys a vacation, but then comes back to earth: this is Vedic relativistic religion.
Vedanta involves a Sanyasin with a begging bowl. He does not seek heaven, but liberation from the cycle of recurring births and deaths. (A camel cannot pass through the eye of a needle…)
Sanyasa: The act of renunciation, especially of ritualistic Vedic religious life in favour of monastic life of austerity, where philosophy gains the foreground and has primacy in the life of the individual. ED.)
The three functions are brought together and then abolished.
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Extremely fine dust (pollen) (arising) (taken by Brahma)
From thy feet (from the lotus of the feet - pollen dust)
Gathering together by Brahma
He creates the (three) worlds
(Brahma creates the many worlds of values, each distinct from the others)
Bears up each from each distinct
(Each has its own vertical axis - impenetrability)
This (some world which is manifested)
He supports with thousand heads (Vishnu)
All these dust-produced worlds
Shiva comes and, having beaten them all together,
Accomplishes (serves) the benefit of it (destroys it, and puts the ashes on his head), (without the destruction, cancelling...(?))
Wearing the ashes (ritual)
They cannot cheat humanity all of the time.
Where is your God that you ask me to worship, where is the description of your God?
What about Copernicus, and Bruno and Galileo?
Jehovah sent a column of light so that Moses could see from earth to heaven.
If you ask: "What did you see? Did you see God?" They will say: "Oh no, you cannot see God!"
"What about the Sistine Chapel?" "Oh that is just a joke of the Pope´s".
What is the best thing with which to fill it? Absolute Beauty.
The voice that spoke to Moses was empty. What did it mean to the shepherds?
The whole of the Bible is trying to give some content to this voice.
God - "maker of heaven and earth", "as it was in the beginning..." etc.
What is it that is true? They do not tell you.
Please, Bible, tell me something about this God whom I want to worship.
The Book of Job indicates that God is a bad schoolmaster who will not answer questions.
The most difficult gap in the Bible to fill up is the content of God from the earth up.
"Is there no cosmology about this God? Will you tell me about God?"
"NO, NO, NO!"
He presents the whole picture in terms of left-hand spirals becoming right-hand spirals and on into infinity.
If the non-Europeans had had guns early enough, the Bible would have been thrown away - NO aborigines would have been converted to Christianity.
Verse 2 consists of three gods, with three functions - Numerator, Denominator and Middle.
Everything in the world has three stages - birth, life and death.
These are the functions of creation, preservation and dissolution.
Mythology is a growth determined by geography and culture.
Narayana Guru decided not to use mythology, but definitions drawn from everyday examples, to describe the Absolute.
When mythology is used, he refers to all mythology.
TO GO FROM THE KNOWN TO THE UNKNOWN, TO FILL THE ABSOLUTE WITH CONTENT,
THE SAUNDARYA LAHARI USES THE BEAUTY OF A WOMAN; THE SLIGHTEST OF COMMON CONCEPTS, ABSTRACTING AND UNIVERSALIZING IT.
You must use either deductive or inductive reasoning.
How to justify Verse 2 within the context of the Absolute?
Brahma comes, takes fine dust from the feet of the Devi and creates three vertical worlds, till it becomes the firm earth that we know.
Vishnu sleeps on a coiled 1000-headed snake, floating on a milk ocean - a pluralistic pragmatist.
Vishnu represents value-worlds so comfortable that he does not have to work.
From his navel comes a lotus in which is sitting Brahma
Why? Because all gods represent the Absolute.
Then we need the concept of destruction, since no man believes he will die.
Shiva appears in two aspects - operative as a demiurge and also as the mathematical Absolute, a pure concept.
The functioning Shiva as a demiurge is included in the Omega Point concept.
These three gods are included in a circle.
Brahma creates, Vishnu sustains, and Shiva destroys:
These are personifications of natural laws that we can see.
Shiva pulverises the whole thing, and then puts the ashes on his forehead and says: "I am proud to have destroyed."
Why? Because there can be no creation without destruction.
This is a close-up of the three functions of creation, preservation and destruction. The author now examines the negative aspect, the phenomenal world:
Brahma finds powder at the feet of the Devi to create the universe,
Shiva, after destroying the universe, also puts three lines of powder on his head;
It is described as powder because the universe consists of small particles.
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Brahma creates the world from pollen dust.
Vishnu, who represents stability, somehow supports it all on his thousand heads (representing horizontal plurality) and stabilizes it.
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Shiva (Hara) destroys it all and wears the ashes on his forehead.
This is a monde affiné (c.f. Bergson) there is no actual firm ground - all is composed of dust.
This is like the famous passage by Eddington, "standing on the threshold..." where he describes the room he is about to enter as made up of innumerable particles flying around in empty space, with no solid objects such as floors, ceilings, tables and chairs.
Brahma, Vishnu and Shiva represent three functions here.
1) Brahma, with his four heads is seated on a lotus and creates the universe from pollen dust.
2) Vishnu supports it with his thousand heads - making a terra firma.
3) Shiva destroys it - turns it into smoke and ashes - this is the evaporation of everything into mathematics
Brahman, the Absolute, can be numerator as Para-brahman, the transcendent Absolute - then it is impredicable.
So:
Para-brahman, the transcendent Absolute, is impredicable
Apara-brahman, the non-transcendent Absolute, is predicable
You can ascend or descend. The Saundarya Lahari is ascending from Apara (the non-transcendent absolute) to Para (the transcendent absolute): from perceptual to conceptual, from the known to the unknown.
Sankara has taken the trinity of Indian gods, Brahma, Vishnu and Shiva, and given them three separate representative functions in this verse, which introduces the stratifications of the vertical axis, with the three gods each having their place on it.
Some kind of interesting value-content must go into the Absolute, such as creation, subsistence and destruction, here represented by the three gods.
The pollen is pressed together into a firm ground and is supported by Vishnu.
The final third aspect is the destroying fire and smoke of Shiva.
Experience first Apara-brahman, the non-transcendent absolute - as described in the writings of Narayana Guru.
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SOME NOTES FOR A PROJECTED FILM OF THE SAUNDARYA LAHARI
FILM GENERALITIES
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BEFORE THE FILM COMMENCES, INSERT SUFFICIENT INFORMATION ABOUT THE FOLLOWING SUBJECTS:
a) How the Devi occupies the same space as the Absolute; the place of Magenta in the scheme.
The status of the Hindu Gods:
b) Brahma, Vishnu, Mahesvara (Shiva), Rudra, etc. (The three gods of creation, preservation and destruction, and Rudra, who is the god of storms, seen as a form of Shiva. ED)
c) The relationship between Saraswati, Lakshmi and Kali. (Saraswati - the positive Goddess of Learning and the Arts; Lakshmi - the Goddess of Prosperity - occupying a central and slightly horizontalized position; and Kali the negative goddess of destruction. ED)
d) Subrahmanya and Ganesha. (The two sons of Shiva and the Devi - Subrahmanya, the numerator War-God, and Ganesha - the denominator Elephant God of Learning. ED)
e) Kama and Rati Devi. (Eros and his wife, literally "desire". ED)
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a) THE PLACE OF MAGENTA IN THE SCHEME.
Magenta is an absolute colour; ultraviolet and infrared meet in it. Colour film technique proves that magenta can produce any other shade, tint or saturation by positive or negative filters. These filters presuppose a colour-solid with an Alpha and an Omega point from which, by omitting or adding certain elements, all colours required can be produced. This is a great discovery of modern times in optics. (See the Introduction to "An Integrated Science of the Absolute" on this website)
Thus the basic or absolute colour, magenta, is obtained by neutralisation of plus and minus factors.
It is thus reasonable to equate it with the Absolute principle of Beauty, or the Goddess of this work.
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b) THE GODS AND THEIR INTERRELATIONSHIP
It is necessary to fit all of these into a structural context and also to indicate the dynamism involved.
Brahma, Vishnu or Shiva or any others belonging to the same positive, numerator order of divinities, such as Rudra, Sadashiva etc.: these have to be placed in the top half of the circle, which is divided by a horizontal line: but there is no harm in indicating that this top half could be absorbed into the bottom of the vertical axis, as when a Japanese fan, which is a horizontal semicircle when open, folds up into the vertical axis.
This dynamism must be demonstrated on the screen. These three gods have to be given their functions, and viewed both in their horizontalized and verticalized aspects.
c) THE GODDESSES
Sarasvati is at the top of the vertical axis.
Kali at the bottom.
Chamundi in the middle. (see Verse 89)
The Dasakumaracarita of Dandin describes the goddesses for ten nights.
Show how the goddesses change from one to the other. If you can purify the vertical negative, then you have Lakshmi, or else Saraswati on the positive side, in a calm aspect without horizontality.
d) GANESHA AND SUBRAHMANIYA
Ganesha.
Subrahmanya.
Of the two sons of Shiva and the Devi, Subrahmanya is vertical and Ganesha is a purified version of the horizontal.
Ganesha is existence, Subrahmanya is the essence of God..
Finally bring these two, that is, the horizontal negative and the vertical positive, together and cancel them both out.
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e) EROS AND HIS WIFE
Kama Deva (Eros) and Rati (his wife, her name means "desire").
Rati, being a woman, has no function really; she is just to be absorbed.
Kama, however, has a function, and no woman can live without him.
The difference between a Pre-Raphaelite Madonna and the Mona Lisa is that Kama Deva is present in the latter. Kama can still operate when Shiva is not present; show him jumping into the lake of the Devi´s navel; Rati cries and goes to the negative side of the vertical axis.
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THE RELATIONSHIP BETWEEN SHIVA AND THE DEVI
There are mutual complementarity, compensation, cancellability and reciprocity between Shiva and Shakti (the Devi). Explain this fully, while being careful never to minimise the importance of one or the other.
Complementarity is most difficult. You have to show magenta arising out of Shiva's ashes and the magenta spot on the Devi's forehead (So there is colour mixing here).
The possibilities of colour, laser and holograph technologies have to be explored here.
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THE STRUCTURAL ELEMENT
The Structure explained:
a. The Cartesian correlates, horizontal and vertical axis's in a graph.
b. Solid geometry and conics
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c. Crystal structures:
d. The status of other flowers and water lilies.
e. Some favourite trees used for structural purposes.
a. Show the vertical and horizontal axis, and how they are used everywhere: in hospitals, finance, etc.
b. Halley's comet comes and makes a parabola or hyperbola. There is a solid geometry found in the sky, cf. conics in astronomy.
There are double rainbows, with the colours reversed. Conics enter into cosmology.
c. There are different kinds of coloured quartz, gems, etc. to photograph.
Show the crystal structures with colours (in museums).
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d. Lotuses and sunflowers and arrangements of logarithmic spirals, the golden proportion,
cf. Edna Kramer (what work? ED).
In several natural phenomena one may find curves that are close to being logarithmic spirals. Here follows some examples and reasons:
- The approach of a hawk to its prey. Their sharpest view is at an angle to their direction of flight; this angle is the same as the spiral's pitch.
- The approach of an insect to a light source. They are used to having the light source at a constant angle to their flight path. Usually the sun (or moon for nocturnal species) is the only light source and flying that way will result in a practically straight line.
- The arms of spiral galaxies. Our own galaxy, the Milky Way, has several spiral arms, each of which is roughly a logarithmic spiral with pitch of about 12 degrees.
- The nerves of the cornea (this is, corneal nerves of the subepithelial layer terminate near superficial epithelial layer of the cornea in a logarithmic spiral pattern).
- Many biological structures including the shells of mollusks. In these cases, the reason may be construction from expanding similar shapes, as shown for polygonal figures in the accompanying graphic.
- Logarithmic spiral beaches can form as the result of wave refraction and diffraction by the coast. Half Moon Bay, California is an example of such a type of beach.
- The Fibonacci Series of numbers forms a spiral.
e. There are some flowers that close and some that open at night.
f. The Asoka, fig trees with aerial roots.
See the Gita on the fig tree with roots above and branches below.
There is a reference to an Asoka in Verse 85 and Verse 96: a tree or creeper is an extremely negative value.
THE DEVI'S BODY AS DESCRIBED IN THE SAUNDARYA LAHARI
Woman's form examined through the rules of Indian iconography.
One should examine minutely:
a. The structural implications of the lower and upper half, divided by an imaginary tropic line.
b. The thin waist.
c. The navel, the navel-lake and the three folds at the waist.
d. Thighs and knees: their strength, suppleness and frailty implying reciprocity between elephant tusks and banana plants.
e. Horizontal and vertical versions of the breasts.
f. The four-fold structure of the mid-eyebrow region, the eyes, ears etc.; implying a vertical arrow.
g. The feet placed at the bottom, middle and top: further details to be supplied by actual verses, when more closely examined.
This is a study in itself, note the hands, sinus functions,
Fourier functions, etc., as found in iconography.
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SHIVA AND THE DEVI
Descending Shiva and ascending Goddess - how they meet, how they interact:
a. Back-to-back eroticism versus belly-to-belly.
b. They do not touch each other, except for the chin; they always keep twelve inches apart.
(further implications in the verses themselves)
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THE CHAKRAS
The origins of the six Chakras.
a. What they represent as a psychodynamic mechanism with synergisms and syndromes.
b. The hierarchy of Chakras: Sahasrara on the plus side and Muladhara on the negative side and one at the mid-point. (Further details in Verses 36 & ff.)
A yogi sitting with the Chakras fixed in their positions, psycho-dynamically understood. The interplay of Sattva, Rajas and Tamas (the three modalities of nature).
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STRUCTURALISM
Geometry and Algebra must meet in structuralism.
a. Magenta is an abstract colour, with possible positive and negative filtration.
b. Laser techniques and three-dimensional space or the colour-solid as a mathematical entity.
See the theory of Protolinguistics, see monograph by the Guru.
Pure mathematics can contain both algebra and geometry, as complementary vertical counterparts: see the two proofs of Pythagoras' theorem, one algebraic and metalinguistic, and the other geometric and protololinguistic.
Cf. post-Hilbertian mathematics and Galois.
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STRUCTURALISM
The figure-eight dynamism (see Bergson).
a. Explain the matrix and O-point.
b. Explain the "universal here and now" at the Alpha-point.
c. The "universal elsewhere" - timeless - is at the Omega-point.
d. Explain the Mandalas or Chakras, do not omit them, they are four-cornered:
the Sri Chakra, Kaula and Samaya cults revalued.
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STRUCTURALISM
Parity, virtuality, right and left spins, the mutual exclusion of horizontal factors, impenetrability; the seed of troubles in this world - harshness; the problem of evil located at the horizontal of the spirit.
N.B. This could be divided in two or three parts and presented separately, so as not to bore the audience.
See quantum mechanics and molecular structure: Diagrams to be found in Gent University, etc.
Bachelor and female particles.
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THE EIGHT-FOLD STRUCTURE - ITS PARTS:
My question was: " Is Ashtatam (eight) arrived at by a quaternion on the Denominator and another on the Numerator?"
"No. The eight are derived in "The Epistemology of the Gnosis" from six plus two or seven plus one to make eight.
Then there is a quaternion in each of the eight Adharas or levels.
Then put eight of Subrahmaniam on the numerator and eight of Ganesha on the denominator; interpenetrate the two and you get the normalised Kali as in the "Kali Natakam" of Narayana Guru.
The terms assigned to their respective levels:
Ambivalence - the first level, the actual, Subrahmaniam and Ganesha are ambivalent factors.
Reciprocity - the second level; Saraswati and Lakshmi.
Complementarity - the third level, the Devi with callosities on Her knees from worshipping Shiva - she wants to establish the final cancellation with Shiva, here, she is his complementary counterpart.
Cancellation - the fourth level, the final operation - Shiva and Shakti united.
Parity - refers to the horizontal alone; bilateral symmetry.
THE WORLD LINE OF BERGSON.
When you treat Time as a factor with some epistemological status of length, breadth and thickness - schematise - you get the world line of Einstein and Minkowski.
Bergson says "very good, but make it valid for philosophy as well as physics; the world line for S and S' must coalesce".
A boy on a tricycle makes circles in the drawing room, he has to turn the handlebars, but at what angle? An infinitesimal angle entering at infinitesimal instants of time. A big or small circle does not make any difference: it is the infinitesimal factor in calculation that makes them the same.
(Relevant to Chaos Theory? ED)
SAUNDARYA LAHARI - VERSE 3
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SAUNDARYA LAHARI
VERSE 3
A QUATERNION WITH ONE-TO-ONE MATCHING OF INTERESTS
IN FOUR TYPES OF PERSON
जडानां चैतन्य-स्तबक मकरन्द श्रुतिझरी ।
दरिद्राणां चिन्तामणि गुणनिका जन्मजलधौ
निमग्नानां दंष्ट्रा मुररिपु वराहस्य भवति
jadanam citanya stabaka makaranda sruti chari
daridranam cintamani gunanika janma jaladhau
nimagnanam damstra muraripu varahasya bhavati
To inert ones, the ooze of sweetness within blossoms celestial, having mind-expanding effect;
While for indigent spirits you become a brood of philosopher's stones
And for those submerged in the ocean of birth and death, the very tusk of Vishnu's boar.
Verse 16
chaturvidha bhajante mam
janah sukritino 'rjuna
arto jijnasur artharthi
jnani cha bharatarshabba
Four kinds of the (doers of the) good are intent on
Me, Arjuna; the distressed, the seeker of
knowledge, the seeker of the goods of life, and the
wise, 0 Leader of the Bharatas (Arjuna).
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ADDITIONAL COMMENTS WITH STRUCTURAL DIAGRAMS RELATED TO THIS VERSE FROM SAUNDARYA LAHARI/NOTES.
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avidyanam - for the uninstructed
antah stimira mihira - inner darkness banishing
dvipa nagari - light city, mid-ocean placed
cadanam - to inert ones
caitanya stabaka makaranda - the ooze of mind-expanding
sruti charim - sweetness from within blossoms celestial
daridranam - for indigent spirits
cintamani gunanika - a brood of philosophers' stones
canma caladhau - in the ocean of repeated birth and death
nimagnanam - for those submerged
damstra - the tusk
muraripu varahasya - of the boar of Vishnu (the enemy of Ripu)
bhavati - you become
The poor scholar seeking a brood of Philosopher's stones.
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Caliban, in Shakespeare's "The Tempest" is an example of the mentality of the "Lazy Man" in this verse.
In the inner circle is what each of these four men dreams of.
In this verse the Author shows us the four-fold structure within the Absolute.
The movements of these circles can be reversed etc.
One man may be in all four of these positions at different times.
Another version:
TRANSLATION
1) for the ignorant an island city of sunlit (island) of inner darkness
2) for inert persons of the mind-blossom the heavenly honey-streak flow
3) for the indigent a collection of philosophers' stones
4) for those who are about to be immersed in the ocean of phenomenal becoming the (cutting) tusk of Vishnu's boar (antasti mira mihira)
- thou, o Goddess
Yet another, earlier, version of this verse:
To the uninstructed you are the light-maker, inner darkness banishing, mid-ocean placed;
To inert ones, the ooze of sweetness within blossoms celestial, having mind-expanding effect,
While for indigent spirits you become a brood of philosophers' stones,
And for those submerged in birth-cycle ocean the very tusks of that anti-Mira (Vishnu's) boar.
(EDITORIAL NOTE: the quaternion structure will reappear in almost every verse of this work and many further clarifications and examples will be provided, but the examples below may begin to clarify the subtle characteristics of the structural methodology used throughout.)
From A. Eddington, Nobel prize-winner in Physics, we have an example of the quaternion structure used by Nataraja Guru:
THE FOUR LIMBS OF THE QUATERNION:
1. The actual chair in which the actual man can sit; this chair will exclude another chair, and occupies a particular space.
2. The virtual chair in which a virtual man can sit; much like a mirror reflection.
3. The Alpha Point chair, the form of the chair generalised,
It excludes all other chairs.
This is the universal concrete version, it excludes horizontally but not vertically.
The basic structural terms assigned to their respective levels:
Ambivalence - the first level, the actual, Subrahmaniam and Ganesha are ambivalent.
Reciprocity - the second level; Saraswati and Lakshmi.
Complementarity - the third level, the Devi with callosities on her knees from kneeling in devotion to Shiva - she wants to establish the final cancellation with Shiva, here, she is his complementary counterpart.
Cancellation - the fourth level, the final operation - Shiva and Shakti are united.
Parity - refers to the horizontal alone; bilateral symmetry.
(These terms used by Nataraja Guru, are applied to the mythological deities which appear in the Saundarya Lahari and are there used as protolinguistic factors. They are also fully valid as part of the terminology of Physics and Science in general. The Saundarya Lahari is not a mere mythological poem but a compendium of structural methodology, as applied to the Science of the Absolute (Brahma Vidya). ED)
STRUCTURALISM: SOME SHORT NOTES FROM NATARAJA GURU, TO BE FOUND IN SAUNDAYA LAHARI/NOTES:
Structuralism is the highest function of the human mind.
Marbles ricocheting off one another are horizontal; a lake inside a lake, a cup inside a cup are vertical.
Horizontally viewed, one second can become a thousand years; vertically viewed, one thousand years can become one second.
(H. Bergson)
The vertical axis is happiness, the horizontal axis is suffering.
The structure of woman reveals the structure of the negative aspect of man, his psyche. Add the numerator to this feminine structure and you get the whole picture.
Transportation, e.g. a truck carrying a load of stones, is horizontal.
Transmission, e.g. of radio waves, is vertical.
Three causes and effects:
1. A billiard ball striking another is horizontal.
2. The unwinding of a clockwork gramophone is vertical
3. An explosion is horizontal
(The fourth, which includes all these, is consciousness.)
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EVIDENCE OF STRUCTURALISM
1) The Cartesian Correlates or Coordinates - some examples below:
2) Probability curves - curves on graphs:
3) Multiplication, subtraction, addition and division form a quaternion structure.
4) The multiplication table of 9:
(An Editorial note on the four logical forms - The Ancient Greeks such as Aristotle identified four primary distinct types of categorical proposition and gave them standard forms (now often called A, E, I, and O). If, abstractly, the subject category is named S and the predicate category is named P, the four standard forms are:
- All S are P. (A form)
- All S are not P. (E form)
- Some S are P. (I form)
- Some S are not P. (O form)
Below we have a conventional structural representation of the same subject, called a "Square of Opposition".
(An example of a subalternation is "If all leopards are mammals, then some leopards are mammals."
Contrary: opposite in nature, direction, or meaning
Subcontrary: a proposition so related to another that though both may be true they cannot both be false)
The square of opposition is a chart that was introduced within classical (categorical) logic to represent the logical relationships holding between certain propositions in virtue of their form.
The above structure may be in need of revision.)
6) What is "pi" ?
7) Fourier functions - sinus curves in electromagnetics
(EDITOR'S NOTE: this remains obscure to us;we are trying to discover what the Guru meant on this subject. So far, to no result)
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SAUNDARYA LAHARI - VERSE 4
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SAUNDARYA LAHARI
VERSE 4
THE SQUARE ROOT OF MINUS ONE
THE PRIMACY OF CAUSE OVER EFFECT (SATKARANAVADA)
PRIME POTENT POWER.
त्वदन्यः पाणिभया-मभयवरदो दैवतगणः
त्वमेका नैवासि प्रकटित-वरभीत्यभिनया ।
भयात् त्रातुं दातुं फलमपि च वांछासमधिकं
शरण्ये लोकानां तव हि चरणावेव निपुणौ
tvam eka naivasi prakatita varabhity abhinaya
bhayat tratum datum phalam api ca vancha samadhikam
saranye lokanam tava hi caranav eva nipunau
You alone do not act overtly, by gesture, the promises of refuge or boon
What is more, your feet, o sole refuge of the world of beings,
Are alone expert indeed in yielding boons more than asked for.
(A Cartesian coordinate system specifies each point uniquely in a plane by a pair of numerical coordinates, which are the signed distances from the point to two fixed perpendicular directed lines, measured in the same unit of length. Each reference line is called a coordinate axis or just axis of the system, and the point where they meet is its origin usually at ordered pair (0,0). ED.)
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ADDITIONAL COMMENTS WITH STRUCTURAL DIAGRAMS RELATED TO THIS VERSE FROM SAUNDARYA LAHARI/NOTES.
tvad anyah - other than yours
panibhyam - by hands
abhaya varado - which give protection or boon
daivata ganah - classes of divinities
tvam eka naivasi - you alone are not thus
prakatita varabhity abhinaya - in not acting overtly, by gesture, boon-granting or refuge
bhayat tratum - to save from fear
datum - to grant
phalam api ca vancha samadhikam - more than asked-for-boon
saranye lokanam - o refuge of the worlds
tava hi caranav eva nipunau - your feet alone are expert
Think of all the possible gestures, boons or benefits from the gods on the Numerator side and abolish them.
They are a place of refuge.
Here we have one cause, her feet, as against multiple effects
It is the Denominator which saves; go to the Denominator cause, not to the Numerator effect.
Pradhana (prime potent power) is a term used by Samkhya philosophy and is referred to in Narayana Guru's Darsana Mala in the section called Maya Darsana, in Verse 1:
1. na'vidyate ya sa maya vidya'vidya para'para
tamah pradhanam prakrtirbahudha saiva bhasate
What is not real, that is Negation (Maya),
Which by itself, as by science-nescience,
Transcendence-immanence, darkness and prime potency
Of nature, in many forms looms.
Here Pradhana is translated as "Prime Potency of Nature".
Maya is the name for the Negative Absolute.
(An editorial note on Maya:
Maya is perhaps the most difficult concept to grasp in Sankara's Advaita Vedanta. Nataraja Guru often said that there is a paradox at the core of the Absolute, and the Advaitic view of Maya may indeed appear paradoxical.
In other schools of philosophy, and in common speech in India and elsewhere, Maya is dismissed as "illusion" and as an obstacle to enlightenment which is almost looked upon as morally bad.
A typical quotation: "Maya or Māyā: a term found in Pali and Sanskrit literature, has multiple meanings and can be translated to mean something of an "illusion" (or more accurately a "delusion"). (our underlining. ED)
Some definitions of Maya in the Guru's writings:
"Maya is the principle of indeterminism."
"Whatever is postulated as the cause of the unreal, spoken of in the most generic of categorical terms in philosophy, as against theology, is to be laid at the door of Maya. It is the basis of duality or synergic antinomies. The nearest Western equivalent is the Negativität of Hegel's system."
"Maya is the universal category of error"
Perhaps the most difficult to grasp is what is stated in Verse 97 of the present work, the Saundarya Lahari, and its commentary:
Lakshmi is Vishnu's wedded one,
and the Mountain Daughter is Shiva's consort;
Certain others as the unattainable and boundless fourth state refer to You;
While you remain as the great Maya, making the universe go round, as Queen of the Ultimate Absolute."
“Turiya, the fourth or deepest flux of consciousness, where subject and object merge in the Absolute that is within and without…”
“Turiya, completely absolute, beyond any relativity.
“What transparent awareness has, turiya consciousness that is.” (Narayana Guru)
In Verse 1 of Maya Darsana, Narayana Guru itemises all the possible kinds of negative error (Maya): they are seven in number:
A pair called vidya-avidya (science-nescience):
(Or knowledge and ignorance in colloquial language. ED)
Another pair called para-apara (transcendence-immanence).
Transendence: existence or experience beyond the normal or physical level.
Immanence means that the divine encompasses, or is manifested in, the material world.
Three other items are included under Maya in Verse 1:
prakriti,
pradhana or prime potent power,
and tamas or darkness.
Tamas is one of the three gunas or modalities of nature, the dark or dull, also described as tragic or inert.
The 2nd - Avidya - Nescience, is described as giving too much importance given to the immanent, nescience, ignorance.
3rd - Para
4th - Apara
5th - Tamas
The 6th item - Pradhana - could be seen as the seed containing the oak-tree, where space is abolished
The 7th - Prakriti - is a centripetal force of becoming, it expands up the vertical axis.
Verse 1: Vertico-horizontal reciprocity. (Complementarity, compensation, cancellability)
Verse 2: Phenomenal functions of creation, subsistence and destruction fitted into context.
Verse 3: The four sectors of values with the corresponding types.
Verse 4: The square root of minus-one: the negative pole of the Devi's feet
(The square-root of minus-one is at the bottom of the structure at the negative pole of the vertical axis - it can be used interchangeably with the feet of the Devi, Pradhana, Prime Potent Power, Negativität etc, as a monomark in this verse. ED)
Sankara is not concerned with numerator values and boons, but with the bottom of the vertical axis, the square root of minus-one.
In Vedanta - negative ontology has primacy over positive teleology.
Karana is cause, Karya is effect; Vedanta goes from effects to cause.
"Ontological reality is at Your feet, not in Your hands".
Sankara is a Satkaranavadin, not a Satkaryavadin, that is, he is a believer in the reality of causes and not of effects.
Another version:
TRANSLATION
other than yours
by hands
conferring refuge and boons
the whole ensemble of divinities (demiurges)
you alone are not like that
(hand gestures are not important to the Devi, her feet will do.)
exhibiting dramatic action of (conferring) boon or refuge
to save from fear
to confer benefit
as also to confer favours in surplus to what has been prayed for
of all possible worlds, o the sole refuge
yours indeed, the (pair of) feet are expert in
(put your faith in the feet, the square root of minus-one;
not in the hands of numerator gods.)
In Vedanta, we go from the multiplicity of effects, which are horizontal, to the cause which is vertical.
This is a fundamental aspect of Vedanta: go from effect to cause.
This is Vedantic methodology: causes before effects - Satkaranavada, as opposed to Satkaryavada
Theologically understood, the divinities in any religion, Greek or Hindu, are recognised by their functional or operational overt positive values, which have hedonistic, pluralistic or essentially hypostatic significance.
One is granted what one prays for.
The present series of verses presupposes a slightly negatively-tilted perspective, as is proper to Vedantic methodology.
Those terms or expressions in the verse such as "other arms", "sole refuge", "worlds of all beings" are meant to underline the contrast between the relative and the absolute, and combine such opposites as boons and protection from fear.
Metalinguistic poetry tallies here with protolinguistic structural imagery.
Theological divinities are many. They can protect votaries and confer boons in various pluralistic, relativistic or hedonistic contexts known to non-Vedantic or dualistic scripture.
Indigence prevails on the plus side.
The male is abstraction.
The root is the Universal Concrete - the source of all causes.
SAUNDARYA LAHARI - VERSE 5
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SAUNDARYA LAHARI
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VERSE 5
SUB SPECIE AETERNITATIS (UNDER THE AEGIS OF THE ABSOLUTE)
पुरा नारी भूत्वा पुररिपुमपि क्षोभ मनयत् ।
स्मरोஉपि त्वां नत्वा रतिनयन-लेह्येन वपुषा
मुनीनामप्यन्तः प्रभवति हि मोहाय महताम्
pura nari bhutva puraripum api ksobham anayat
smaro'pi tvam natva ratinayana lehyena vapusa
muninam apy antah prabhavati hi mohaya mahatam
Eros, too, worshipping you with body licked into reality by the glances of Rati,
Even to the minds of great recluses, confusion of values brings.
ADDITIONAL COMMENTS WITH STRUCTURAL DIAGRAMS RELATED TO THIS VERSE FROM SAUNDARYA LAHARI/NOTES.
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haris tvam aradhya - once Vishnu having adored you
pranata jana saubhagya jananim - the mother that bestows blessings on those who worship you
pura nari bhutva - taking womanly form
puraripum api - even to the City-Burner
ksobham anayat - caused agitation
smaro api - Eros too
tvam natva - on worshipping you
ratinayana lehyena vapusa - with body licked into reality by the glances of Rati
muninam api antah - even to the minds of great recluses
prabhavati hi - is able indeed to bring
mahaya mahatam - for causing confusion of values
Hari = Vishnu
Tvam aradya = having adored You
Pranata jana saubhagya jananim = who confers goodness
On worshippers
Pura nari bhutva = once having become a woman
Puraripum api = even that burner of the city (Shiva).
Kshobham anayat = led to agitation
Smaropi = even Eros
Tvam natva = having bowed to You.
Ratinaya lehyena vapusha = with body licked into being by the eye
of Rati (wife of Eros)
Muninam api antah = even within recluses
Prabhavati hi = becomes able to accomplish indeed
Mohaya = to make for confusion of values
Mahatam = to great ones
Vishnu once took the form of a radiant woman, attracting Shiva by coming to the vertical axis.
Biologically, the female is the type, the male a sub-type.
When a man in love sees a woman, what he really sees is his own self.
"kami svatam pasyati" -" a man in love his own self sees"
The body of Eros (Kama Deva ) is licked by his wife, Rati's, glances into a pearly beauty.
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There is sometimes a confusion of values for these poor Rishis (sages), because of the overwhelming beauty involved.
There are many kinds of Yogis, but there are some few, the most fortunate ones, who can see the Absolute in a woman’s body.
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Grace can operate directly or indirectly.
The reference here is to the churning of the milk-ocean, when Shiva is tempted to fall in love with the female form of Vishnu.
The point is; you can fall in love with Absolute Beauty, even Shiva can - when it is in the vertical axis.
Beauty comes from the O Point.
If Vishnu is in the vertical axis, Shiva has to fall in love - it is communication with the Devi.
Another version:
TRANSLATION
Hari (another name for Vishnu) having adored You, the source of prosperity of those who worship You, having once become a woman
even the burner of cities
caused to have passion
Smara (Kama Deva, Eros) also
having prostrated to You
by a body licked into shape by the consort of Eros (Rati)
the mind of even recluses
triumphs indeed
conducive of confusion, even to the great recluses (Munis)
Kama Deva (Eros) derives his beauty from the Absolute, indirectly.
Why does Kama Deva (Eros) triumph over the minds of the Munis (recluses or ascetics)?
Rati confers a beauty on him, which is derived from the Absolute.
The ascetics are overcome by the reflected beauty of Smara (Kama Deva, Eros).
They are simple people on the denominator, practising austerities in the Himalayas.
They are attracted to his beauty.
Even Shiva falls in love with Vishnu (Hari), who falls in the vertical axis.
There are two stories here:
1) Direct light - Shiva falls in love with "himself" - on the vertical axis.
2) Reflected light - Eros and Rati on the horizontal axis. (Eros is more horizontalized - the Guru even refers to him in one place as a "horizontal Shiva" Ed.)
The Munis (ascetics) are peripheral horizontally on the denominator side.
They are attracted even by the reflected, also peripheral, light of Eros.
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Confused Sage or Ascetic.
There is sometimes a confusion of values for these poor Rishis (sages), because of the overwhelming beauty involved.
A very confused ascetic bathing in the Ganges.
They now see both the perceptual and conceptual aspects of beauty - where generally they see only the perceptual aspect (because the ascetics themselves are peripheral and horizontalized. Ed.).
This Absolute Beauty, as a value in women or rather womanhood, sub specie aeternitatis (under the aegis of the Absolute), can be a rival factor to the divinity called Shiva, when he is considered as a member of the trinity of godheads (Brahma, Vishnu and Shiva) of the theological pantheon of divinities as Isvaras or Demiurges (minor relativistic divinities).
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His appearing to have limbs is due to the reflected light coming from the eyes of the horizontal negative counterpart of the pure erotic principle as such - that is, his wife, Rati.
There are two sets of double corrections to be thought of in terms of normalisation and re-normalisation here.
Vishnu borrows the beauty of the Absolute Goddess and then he even attracts Shiva.
Eros tries to defeat Shiva with arrows.
Rati's admiration gives him the light of Absolute Beauty.
Eros depends on occasionalism - the mountain breeze, the flowery season, as dealt with in the next verse,Verse 6..
SAUNDARYA LAHARI - VERSE 6
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SAUNDARYA LAHARI
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VERSE 6
OCCASIONALISM GIVES POWER TO EROS
धनुः पौष्पं मौर्वी मधुकरमयी पञ्च विशिखाः
वसन्तः सामन्तो मलयमरु-दायोधन-रथः ।
तथाप्येकः सर्वं हिमगिरिसुते कामपि कृपां
अपाङ्गात्ते लब्ध्वा जगदिद-मनङ्गो विजयते
vasantas samanto malaya marud ayodhana rathah
tathapy eka sarvam himagirisute kam api krpam
apangat te labdhva jagad idam anango vijayate
Whatsoever grace he could, with flowery bow and bumble-bee bowstring
And five-flowered dart and springtide for minister; all these as one withal,
Mounting the chariot of the mountain breeze, he victoriously reigns, that God of Love.
ADDITIONAL COMMENTS WITH STRUCTURAL DIAGRAMS RELATED TO THIS VERSE FROM SAUNDARYA LAHARI/NOTES.
Pure love comes from the Alpha Point at the negative pole of the vertical axis of value and is irresistible - no one is excepted from it.
Ananga (Eros, "the limbless one") = Beauty.
Ananga rules. Although he is a passion, he still rules. (See Othello).
(Ananga or Kama or Kama-Deva is the Eros of India. Rati is his consort. The central eye of Shiva which erupts fire is said to have burnt Kama to ashes when Kama aimed his flowery-arrow at Shiva in order to make him erotic, as commissioned by the gods who needed a martial deity to be born. The war-god was born, however, without erotic love in circumstances portrayed by Kalidasa in his poem called Kumara Sambhava (The Birth of the War-God). ED)
dhanuh paushpam - (with) flowery bow
maurvi madhukara mayi - bowstring of bumblebees
panca visikha - five-flowered dart
vasantah samanto - springtide for minister
malaya marud sayodhana rathah - Southwest breeze for war chariot
tathapi - in spite of this
eka sarvam - all one
himagiri sute - o Daughter of the Himalayan Peak
kam api krpam - some little grace
apangat te - from your side-glance
labdhva - obtaining
jagad idam - this world
anango vijayate - Eros reigns supreme
Another version:
Dhanuh paushpam = the bow made of flowers
Maurvi madhu kara mayi pancha vasikha = the bow-string with five-fold flower arrowheads is made up of bumblebees
Vasantah samantantah = the springtide makes the minister
Malaya marud ayodhana rathah = the wafting mountain breeze stands for the war chariot
Tathapi ekah sarvam = notwithstanding all these as one
Hima giri sute = o Daughter of the Himalayas
Kam api krpam = whatever mercy
Apangate = from Your side-glance
Labdhva jagad idam anangah = having derived that limbless god of love (Eros)
Vijayate = he reigns supreme
You cannot throw eroticism out of the picture as Christianity does.
The Absolutist picture gives Eros a place in the Devi's legs.
He is victorious on the numerator side and is going to fill the numerator side with content.
His power is absolute for a certain time, when all the right factors are present.
This is the situation favourable to love affairs; flowers, pleasant breezes, bees that suck honey - also, there is a conspiracy to give battle with chariots. The whole situation conspires for love to triumph.
Do not treat any of these as distinct parts, they are one, a unit or gestalt.
(In Gestalt Psychology, the operational principle is that the brain is holistic, parallel, and analog, with self-organizing tendencies. The principle maintains that the human eye sees objects in their entirety before perceiving their individual parts, suggesting the whole is greater than the sum of its parts. ED)
You cannot stop people falling in love: first with the above factors and then with the sanction of the Absolute (the side-glance of the Devi).
Another version:
TRANSLATION
the bow flowery
the string made of bees
five-flowered dart
springtide (is) minister
the western mountain breeze
war chariot
notwithstanding (their distinctness)
everything (here) treated as one
o daughter of the Himalayas
some sort of grace (kam api krpam)
from Your side-glance
obtaining
Eros ("the limbless one" - HE IS A MENTAL STATE) reigns supreme over this world.
So, given certain conditions, Eros must be successful, when the grace of the Devi is there.
An example of occasionalism is divine will.
Even given all the other factors, the final occasionalism is the grace of the Devi - Her side-long glance.
(Occasionalism is a philosophical theory about causation which says that created substances cannot be efficient causes of events. Instead, all events are taken to be caused directly by God. ED)
There is a war-chariot because there is a conflict.
The conflict is the paradox between the vertical and horizontal factors involved in falling in love.
There is always a struggle to resolve a paradox - thus, the war-chariot.
Shiva is not completely free of eroticism - this is the element of paradox here.
The total erotic situation can be schematically represented as the top and bottom half of a circle. The bow of iron, when conceptualized, becomes flower-tender as a luxury springtime value.
Pure love comes from the Alpha Point and is irresistible - no-one is excepted.
Above is a Tree of Porphyry as applied to Geography.