Numbers are Everything

[paintswithnumbers]

Numbers are a language and they can tell different stories depending on how they’re used and viewed. They orient themselves to reflect in which they are being measured.

An expression of what is being observed or acted upon.  How we describe, characterize, divide, compare, combine.  In the movements we make and our thoughts.

[paintswithnumbers]

Ancient Vedic Maths were copied by ancient Greeks

Something not many people really know about (I didn’t until recently) is that modern mathematics is a culmination of appropriated Maths.

Western Mathematics dominates the world today.  But throughout history people from the Western world, such as ancient Greeks, often copied and appropriated Vedic Maths (along with their spiritual beliefs).

Example, the concept behind the famous “Pythagoras Theorem” had been around much longer than before Pythagoras (independently discovered in many cultures).

This article breaks it down a little bit and gives more details:

RAMANI'S BLOG -  Pythagoras Theorem Geometric Series By Bodhayana 800 BC 

Here’s a snippet from the article:

“Shulbha Sutra and Pythogoras Theorem.

The similarity between Shulbha Sutra and Pythogoras

The diagonal chord of the rectangle makes both the squares that the horizontal and vertical sides make separately.

— Sulba Sutra

(8th century B.C.)

Compare.

The square of the hypotenuse of a right angle triangle is equal to the sum of the squares of the other two sides.

— Pythagorean Theorem (6th century B.C.)

It is also referred to as Baudhayana theorem. The most notable of the rules (the Sulbasūtra-s do not contain any proofs for the rules which they describe, since they are sūtra-s, formulae, concise) in the Baudhāyana Sulba Sūtra says:दीर्घचतुरश्रस्याक्ष्णया रज्जु: पार्श्र्वमानी तिर्यग् मानी च यत् पृथग् भूते कुरूतस्तदुभयं करोति ॥dīrghachatursrasyākṣaṇayā rajjuḥ pārśvamānī, tiryagmānī, cha yatpṛthagbhūte kurutastadubhayāṅ karoti.A proof of the theorem by Bodhayana. “

[tomasorban]

THE MUSIC OF THE SPHERES

The most sublime but least known of all the Pythagorean speculations was     that of sidereal harmonics. It was said that of all men only Pythagoras heard the music of the spheres. Apparently the Chaldeans were the first people to conceive of the heavenly bodies joining in a cosmic chant as they moved in stately manner across the sky. Job describes a time “when the stars of the morning sang together,” and in The Merchant of Venice the author of the Shakesperian plays writes: “There’s not the smallest orb which thou behold'st but in his motion like an angel sings.” So little remains however, of the Pythagorean system of celestial music that it is only possible to approximate his actual theory.

Pythagoras conceived the universe to be an immense monochord, with its     single string connected at its upper end to absolute spirit and at its lower end to absolute matter–in other words, a cord stretched between heaven and earth. Counting inward from the circumference of the heavens, Pythagoras, according to some authorities, divided the universe into nine parts; according to others, into twelve parts. The twelvefold system was as follows: The first division was called the empyrean, or the sphere of the fixed stars, and was the dwelling place of the immortals. The second to twelfth divisions were (in order) the spheres of Saturn, Jupiter, Mars, the sun, Venus, Mercury, and the moon, and fire, air, water, and earth.This arrangement of the seven planets (the sun and moon being regarded as planets in the old astronomy) is identical with the candlestick symbolism of the Jews–the sun in the center as the main stem with three planets on either side of it.

The names given by the Pythagoreans to the various notes of the diatonic     scale were, according to Macrobius, derived from an estimation of the     velocity and magnitude of the planetary bodies. Each of these gigantic     spheres as it rushed endlessly through space was believed to sound a     certain tone caused by its continuous displacement of the æthereal     diffusion. As these tones were a manifestation of divine order and motion it must necessarily follow that they partook of the harmony of their own      source. “The assertion that the planets in their revolutions round the earth uttered certain sounds differing according to their respective ‘magnitude,      celerity and local distance,’ was commonly made by the Greeks. Thus Saturn,   the farthest planet, was said to give the gravest note, while the Moon, which is the nearest, gave the sharpest. 'These sounds of the seven planets, and the sphere of the fixed stars, together with that above us [Antichthon], are the nine Muses, and their joint symphony is called Mnemosyne.’” (See The Canon.)This quotation contains an obscure reference to the ninefold division of the universe previously mentioned.

The Greek initiates also recognized a fundamental relationship between the     individual heavens or spheres of the seven planets, and the seven sacred     vowels. The first heaven uttered the sound of the sacred vowel Α (Alpha);     the second heaven, the sacred vowel Ε (Epsilon); the third, Η (Eta); the     fourth, Ι (Iota); the fifth, Ο (Omicron); the sixth, Υ (Upsilon); and the seventh heaven, the sacred vowel Ω (Omega). When these seven heavens sing     together they produce a perfect harmony which ascends as an everlasting     praise to the throne of the Creator. (See Irenæus’ Against Heresies.)     Although not so stated, it is probable that the planetary heavens are to be considered as ascending in the Pythagorean order, beginning with the sphere of the moon, which would be the first heaven.

Many early instruments had seven Strings, and it is generally conceded      that Pythagoras was the one who added the eighth string to the lyre of     Terpander. The seven strings were always related both to their correspondences in the human body and to the planets. The names of God      were also conceived to be formed from combinations of the seven planetary      harmonies. The Egyptians confined their sacred songs to the seven primary      sounds, forbidding any others to be uttered in their temples. One of their      hymns contained the following invocation: “The seven sounding tones praise   Thee, the Great God, the ceaseless working Father of the whole universe.”      In another the Deity describes Himself thus: “I am the great indestructible lyre of the whole world, attuning the songs of the heavens. (See Nauman’s History of Music.)

The Pythagoreans believed that everything which existed had a voice and     that all creatures were eternally singing the praise of the Creator. Man fails to hear these divine melodies because his soul is enmeshed in the illusion of material existence. When he liberates himself from the bondage of the lower world with its sense limitations, the music of the spheres will again be audible as it was in the Golden Age. Harmony recognizes harmony, and when the human soul regains its true estate it will not only hear the celestial choir but also join with it in an everlasting anthem of praise to that Eternal Good controlling the infinite number of parts and conditions of Being.        The Greek Mysteries included in their doctrines a magnificent concept of      the relationship existing between music and form. The elements of      architecture, for example, were considered as comparable to musical modes      and notes, or as having a musical counterpart. Consequently when a      building was erected in which a number of these elements were combined,      the structure was then likened to a musical chord, which was harmonic only      when it fully satisfied the mathematical requirements of harmonic intervals. The realization of this analogy between sound and form led Goethe to declare that "architecture is crystallized music.”

In constructing their temples of initiation, the early priests frequently     demonstrated their superior knowledge of the principles underlying the     phenomena known as vibration. A considerable part of the Mystery rituals     consisted of invocations and intonements, for which purpose special sound     chambers were constructed. A word whispered in one of these apartments was so intensified that the reverberations made the entire building sway and be filled with a deafening roar. The very wood and stone used in the erection of these sacred buildings eventually became so thoroughly permeated with the sound vibrations of the religious ceremonies that when struck they would reproduce the same tones thus repeatedly impressed into their substances by the rituals. Every element in Nature has its individual keynote. If these elements are     combined in a composite structure the result is a chord that, if sounded, will disintegrate the compound into its integral parts. Likewise each individual has a keynote that, if sounded, will destroy him. The allegory of the walls of Jericho falling when the trumpets of Israel were sounded is undoubtedly intended to set forth the arcane significance of individual keynote or vibration.

[worldhistoryfacts]

Babylonian mathematical tablet, dating from around 1800 BCE, less than a century before Hammurabi ruled the area. This tablet lists combinations of Pythagorean triples (a2 + b2 = c2), over a millennium before Pythagoras lived. The numbers are written in sexadecimal notation, as the Babylonians used a base-60 mathematical system.   

[spinallyspiraling]

“The followers of Pythagoras delivered their knowledge to pupils, fitted by selection and by training to receive it, in secret; but to others by numerical and mathematical names and notions. Hence they called forms, numbers; a point, the monad; a line, the dyad; a superficies, the triad; and a solid, the tetrad.

Intuitive knowledge was referred to the Monad type.

Reason and causation was referred to the Dyad type.

Imagination (form or rupa) was referred to the Triad type.

Sensation of material objects was referred to the Tetrad type.

Indeed, they referred every object, planet, man, idea and essence to some number or other, in a way, which to most moderns must seem curious and mystical in the highest degree.“ - Numbers Their Occult Power And Mystic Virtues By W. Wynn Westcott

“Numbers are a key to the ancient views of cosmogony— in its broad sense, spiritually as well as physically considered and to the evolution of the present human race; all systems of religious mysticism are based upon numerals. The sacredness of numbers begins with the Great First Cause, the One, and ends only with the naught or zero—symbol of the infinite and boundless universe.”

- Isis Unveiled, vol. ii.

[tomasorban]

The Gnostic Circle

The Gnostic Circle is an alchemical Key of knowledge from the Vedic texts of ancient India revealing the primary role of Time in our developmental process. Most astrological systems are oriented toward the individual’s egoic development, but the Gnostic Circle provides a means by which we can perceive the imperatives of the Soul and its hidden but primary influence in our lives. It is the unifying element of a complete astrological work-up which helps us to understand the cyclic nature of our developmental process; where we have been in the past, where we happen to be at the present moment and what we are moving toward in the future.

“The Gnostic Circle is the most effective method for understanding the transformation of human consciousness. It represents a vision of wholeness and has only one objective: it deals with the soul or seed of the divine in each created thing and reveals the process by which that seed is made to flower in its process of becoming.” – Patrizia Norelli-Bachelet

Used in conjunction with the practice of yoga, the Gnostic Circle reverses the long-standing perception of Time as the destroyer and presents mankind with an entirely new awareness of Time as the integrative mechanism by which a Divine purpose is expressed in the world, thus it contains the highest wisdom of our age.

“The Gnostic Circle allows us to measure the progression of any event in time. And it provides the means of assessing an event’s relevance to time and place within a global and universal context. Above all, it permits us to appreciate the interconnectedness of events through a unified, spherical approach to Time. The Gnostic Circle is a yardstick which can be applied to any event and by which that event or object may be made to reveal its intrinsic nature and objective value. In ancient literature and tradition, such a tool was sometimes referred to as the Golden Rod, or the Philosopher’s Stone. Its value resided in the fact that because of its special relation to Time and Space, it could provide an objective means to assess the truth-conscious substance of any given situation or event or object. In a word, it could objectively reveal the element’s inner pulse and place within the greater harmony of life on Earth and within the solar system.” The Vishaal Newsletter, – Oct 30, 1991

For each person there are two ways of being in the world, two existential situations critical to our perception of life and reality.

The first and most common is an experience of the world from the historical perspective of linear time.

The second, and more rare, is the direct perception of non-linear time or cosmic cycles.

These modes of awareness represent two different worlds, one within the other. Non-linear or sacred time appears under the paradoxical aspect of whole time, an eternal present which is connected with man’s deepest spiritual dimension. It is based upon a perception that time does not proceed endlessly in a straight line. Rather it is always and everywhere a closed curve, although from our ordinary perception, we do not see that it’s movement is either curved or closed.

To move beyond the illusion of linearity and recover a realization of whole time one must undergo a process of yoga which illumines the cyclical nature of the life experience. This is most easily achieved through the application of a cosmological model which highlights certain essential relationships between man and the universe and which unveils a common center. In ancient times these cosmological models were based upon the known universe which was believed to consist of six planets and a central Sun. It was not until the 20th century, following the discovery of Uranus, Neptune and Pluto, that the complete cosmological key could be revealed and man’s integral transformation fully understood.

In ancient India, as in all other traditional societies, the unveiling of this axis or ‘center’ was achieved through a disciplined study of the archetypal language contained in the zodiacal hieroglyphs and a knowledge of the principles of the Cosmic order. Once these foundations are laid, one’s lived experience becomes revelatory. The awareness gradually shifts from the ordinary linear perspective of past, present and future to an experience of time as a cyclical developmental process. As the individual lives and repeats these cycles of whole time, he becomes imprinted with their order and aligned with their harmonies. The axis of his being gradually shifts from the pivot of ego, to a higher perceptual center. For it is by observing the cycles of his own microcosmic process, that man comes to know the macrocosm and the principles of its evolution. In the Veda, this realization is known as SWAR or Truth-Consciousness, and grants the seeker a direct and unequivocal perception of Unity.

‘The Gnostic Circle is merely the combination of the zodiac – the occult circle which contains the knowledge of the evolution – and the structural pattern of the solar system. The Circle of 12 is the zodiac, and the Circle of 9 is our actual solar system, each orbit representing one year of Earth life. The joint harmony of these two, superimposed or synthesized in one circle, is what constitutes our key to the evolution and flowering of the seed of the Spirit. In fact we can say that the Gnostic Circle is mainly for this purpose. It shows mankind the ultimate and ideal perfection that can be attained during this particular phase of the evolution, during this great transition point from animal-mental to the more divine mankind.’ - The Gnostic Circle p. 159, 1975, Patrizia Noreill-Bachelet

[mrthinkyt]

The Pythagorean cult remains mysterious, but amongst other beliefs, they thought numbers and geometric shapes were somehow windows to a higher existence. The Tetractys became an object of worship since the number 10 is the perfect in being made up of the sum of the first four integers, as shown in the shape.

[thecultoflexithewulf]

Tetractys: The line of existence

The line of existence is a certain trail through out the tetractys that portrays the understandings of the planes of existences.

Adi Plane = Source

Anupādaka plane = Masculine

Atmic plane = Sulfur

Buddhic plane = Fire

Akashic plane = Feminine

Causal plane = Mercury

Mental plane = Air

Astral plane = Salt

Etheric plane = Water

Physical plane = Earth

[waywardpencil]

PYTHAGORAS

WEEK 2 [Day 3]

PYTHAGORAS the first “true” mathematician

Pythagoras established a school in southern Italy around 530 BCE,  and it harbored the most bizarre and mystical beliefs regarding math and religion that were imposed onto their worshipers students.

strict vegetarianism

never urinating towards the sun

never marrying a woman who wears gold jewelry

never passing an ass lying in the street

never eating or even touching black fava beans

and loads of other odd rules.

The members were divided into the “mathematikoi” (or “learners”), who  developed the mathematical and scientific work, and the “akousmatikoi” (or “listeners”), who focused on the more religious and ritualistic aspects. There was always a certain amount of friction between the two groups and eventually broke up and got segregated.

People despised the Pythagoreans, their hate and resentment towards the secrecy and exclusiveness of the group exploded like a ticking time bomb and ended in a massacre, in 460 BCE, all their meeting places were burned and destroyed.

The main dictum of Pythagoras’s school was “All is number” or “God is number”

The Pythagoreans effectively practiced a kind of  number-worship, and considered each number to have its own character and meaning.

The number one was the generator of all numbers

Two represented opinion

Three, harmony

Four, justice

Five, marriage

Six, creation

Seven, the seven planets or “wandering stars”.

Odd numbers were thought of as female

Even numbers as male.

[paintswithnumbers]

The Numbers 1 through 10 are represented in the Tetractys.             1

        2      3

    4      5       6

7      8      9      10 “A prayer of the Pythagoreans shows the importance of the Tetractys (sometimes called the "Mystic Tetrad"), as the prayer was addressed to it.Bless us, divine number, thou who generated gods and men! O holy, holy Tetractys, thou that containest the root and source of the eternally flowing creation! For the divine number begins with the profound, pure unity until it comes to the holy four; then it begets the mother of all, the all-comprising, all-bounding, the first-born, the never-swerving, the never-tiring holy ten, the keyholder of all.” “The first four numbers symbolize the musica universalis and the Cosmos as: (1) Unity (Monad) (2) Dyad – Power – Limit/Unlimited (peras/apeiron) (3) Harmony (Triad) (4) Kosmos (Tetrad).”

- Wikipedia

So I thought it would be cool to represent each number as a circle with the same circumference.  And each side of the Triangle is a unit of 10 (the same length as the last circle).

[paintswithnumbers]

“The tetractys (Greek: τετρακτύς), or tetrad,[1] or the tetractys of the decad[2] is a triangular figure consisting of ten points arranged in four rows: one, two, three, and four points in each row, which is the geometrical representation of the fourth triangular number. As a mystical symbol, it was very important to the secret worship of Pythagoreanism. There were four seasons, and the number was also associated with planetary motions and music.[3]”

“The Pythagorean oath also mentioned the Tetractys:

By that pure, holy, four lettered name on high,nature's eternal fountain and supply,the parent of all souls that living be,by him, with faith find oath, I swear to thee." “

 - Tetractys on Wikipedia