NUMEROLGY - PYTHAGORAS
Pythagoras was the first of the great teachers of ancient Greece. Born in 580 B.C., Pythagoras became one of the most well known philosopher and mathematician in history.
Creating the Pythagorean Brotherhood, his teachings greatly influenced Socrates, Plato, and Aristotle. Pythagoras is considered as the first pure mathematician; he also founded a community/society based on religion and science. He is most widely known as the author of the Pythagorean Theorem. Some even venture to believe that the word “philosophy” was invented by Pythagoras. He claimed to be a lover of wisdom, for which the Greek word philo means love and Sophia means wisdom.
The Teachings of Pythagoras revolved around the idea that when considering the deepest level, reality is essentially mathematical in nature. Pytahgoreans believed there was a system of principles existed behind numbers. The principles form a foundation for many concepts of traditional Western thought. One of his most basic notions revolves around the symbolism and beauty associated with the Divine Proportion.
Pythagoras expressed his thoughts and ideas by using words and symbols rather than numbers as we know them today. Instead, his ideas were based on many thoughts that we associate with numbers today. For instance, a point is the essence of a circle. A series of symbolic forms were constructed to mirror the concepts of the universe. Using a compass, straightedge, and writing utensil, mathematical philosophers created these symbolic representations.
The Mystery of Numbers
Of all shapes, the circle is the parent of all following shapes. When a circle is mirrored, two mirrors are created. These two circles side by side build a foundation for all numbers. The overlap of the circles allows each one to share the center of the other. This shaped created is called the vesica piscis (Latin for “fish’s bladder”). From this shape, a triangle, square, and pentagon can be produced. And the relationship between these figures justifies the existences of further number principles.
Creating the Pythagorean Brotherhood, his teachings greatly influenced Socrates, Plato, and Aristotle. Pythagoras is considered as the first pure mathematician; he also founded a community/society based on religion and science. He is most widely known as the author of the Pythagorean Theorem. Some even venture to believe that the word “philosophy” was invented by Pythagoras. He claimed to be a lover of wisdom, for which the Greek word philo means love and Sophia means wisdom.
The Teachings of Pythagoras revolved around the idea that when considering the deepest level, reality is essentially mathematical in nature. Pytahgoreans believed there was a system of principles existed behind numbers. The principles form a foundation for many concepts of traditional Western thought. One of his most basic notions revolves around the symbolism and beauty associated with the Divine Proportion.
Pythagoras expressed his thoughts and ideas by using words and symbols rather than numbers as we know them today. Instead, his ideas were based on many thoughts that we associate with numbers today. For instance, a point is the essence of a circle. A series of symbolic forms were constructed to mirror the concepts of the universe. Using a compass, straightedge, and writing utensil, mathematical philosophers created these symbolic representations.
The Mystery of Numbers
Of all shapes, the circle is the parent of all following shapes. When a circle is mirrored, two mirrors are created. These two circles side by side build a foundation for all numbers. The overlap of the circles allows each one to share the center of the other. This shaped created is called the vesica piscis (Latin for “fish’s bladder”). From this shape, a triangle, square, and pentagon can be produced. And the relationship between these figures justifies the existences of further number principles.
Monad (#1 Masculine) -
The Monad is so called because it remains always in the same condition--that is, separate from multitude. Its attributes are as follows:
It is called mind, because the mind is stable and has preeminence; hermaphrodism, because it is both male and female; odd and even, for being added to the even it makes odd, and to the odd, even; God, because it is the beginning and end of all, but itself has neither beginning nor end; good, for such is the nature of God; the receptacle of matter, because it produces the duad, which is essentially material.
By the Pythagoreans monad was called chaos, obscurity, chasm, Tartarus, Styx, abyss, Lethe, Atlas, Axis, Morpho (a name for Venus), and Tower or Throne of Jupiter, because of the great power which abides in the center of the universe and controls the circular motion of the planers about itself. Monad is also called germinal reason, because it is the origin of all the thoughts in the universe.
Other names given to it were: Apollo, because of its relation to the sun; Prometheus, because he brought man light; Pyralios, one who exists in fire; geniture, because without it no number can exist; substance, because substance is primary; cause of truth; and constitution of symphony: all these because it is the primordial one. Between greater and lesser the monad is equal; between intention and remission it is middle; in multitude it is mean; and in time it is now, because eternity knows neither past nor future.
Dyad (#2 Feminine) -
The undefined dyad is a deity and the evil, surrounding which is the mass of matter”. The dyad is the door between the One and the Many, a passageway to the journey of spiritual self discovery.
The notion of fertility is associated with its vulva shape, and is thus related to the passage of birth. The dyad involves the principles of “twoness” or “otherness”, Dualist beliefs, Gnostic. Greek philosophers referred to the dyad as “audacity” because of the boldness of separation from the one, and “anguish” because there is still a sense of tension of a desire to return to oneness.
They believed that the dyad divides and unites, repels and attracts, separates and returns. Devotion to truth and simplicity is of major importance. In his book, Numbers, W. Wynn Westcott says of the duad: "it was called 'Audacity,' from its being the earliest number to separate itself from the Divine One; from the 'Adytum of God-nourished Silence,' as the Chaldean oracles say."
The following symbolic names were given to the duad--2--because it has been divided, and is two rather than one; and when there are two, each is opposed to the other: genius, evil, darkness, inequality, instability, movability, boldness, fortitude, contention, matter, dissimilarity, partition between multitude and monad, defect, shapelessness, indefiniteness, indeterminate ness, harmony, tolerance, root, feet of fountain-abounding idea, top, Phanes, opinion, fallacy, alterity, diffidence, impulse, death, motion, generation, mutation, division, longitude, augmentation, composition, communion, misfortune, sustentation, imposition, marriage, soul, and science.
While the monad is the symbol of wisdom, the duad is the symbol of ignorance, for in it exists the sense of separateness--which sense is the beginning of ignorance. The duad, however, is also the mother of wisdom, for ignorance--out of the nature of itself--invariably gives birth to wisdom.
Triad (#3 Masculine) –
The Triad is the first number actually odd (monad not always being considered a number). It is the first equilibrium of unities; therefore, Pythagoras said that Apollo gave oracles from a tripod, and advised offer of libation three times. The keywords to the qualities of the triad are friendship, peace, justice, prudence, piety, temperance, and virtue.
The following deities partake of the principles of the triad: Saturn (ruler of time), Latona, Cornucopiæ, Ophion (the great serpent), Thetis, Hecate, Polyhymnia (a Muse), Pluto, Triton, President of the Sea, Tritogenia, Achelous, and the Faces, Furies, and Graces.
This number is called wisdom, because men organize the present, foresee the future, and benefit by the experiences of the fast. It is cause of wisdom and understanding. The triad is the number of knowledge--music, geometry, and astronomy, and the science of the celestials and terrestrials. Pythagoras taught that the cube of this number had the power of the lunar circle.
The sacredness of the triad and its symbol--the triangle--is derived from the fact that it is made up of the monad and the duad. The monad is the symbol of the Divine Father and the duad of the Great Mother. The triad being made of these two is therefore androgynous and is symbolic of the fact that God gave birth to His worlds out of Himself, who in His creative aspect is always symbolized by the triangle.
The monad passing into the duad was thus capable of becoming the parent of progeny, for the duad was the womb of Meru, within which the world was incubated and within which it still exists in embryo.
Tetrad (#4 Feminine) -
There are four seasons, four ages of man, four directions Four is the first number formed by addition and multiplication of equals. It is the first “female” number because it is the first even number. signified the four seasons and the four elements. The Tetrad was esteemed by the Pythagoreans as the primogenial number, the root of all things, the fountain of Nature and the most perfect number.
All tetrads are intellectual; they have an emergent order and encircle the world as the Empyreum passes through it. Why the Pythagoreans expressed God as a tetrad is explained in a sacred discourse ascribed to Pythagoras, wherein God is called the Number of Numbers.
This is because the decad, or 10, is composed of 1, 2, 3, and 4. The number 4 is symbolic of God because it is symbolic of the first four numbers. Moreover, the tetrad is the center of the week, being halfway between 1 and 7. The tetrad is also the first geometric solid.
Pythagoras maintained that the soul of man consists of a tetrad, the four powers of the soul being mind, science, opinion, and sense. The tetrad connects all beings, elements, numbers, and seasons; nor can anything be named which does not depend upon the tetractys.
It is the Cause and Maker of all things, the intelligible God, Author of celestial and sensible good, Plutarch interprets this tetractys, which he said was also called the world, to be 36, consisting of the first four odd numbers added to the first four even numbers.
Keywords given to the tetrad are impetuosity, strength, virility, two-mothered, and the key keeper of Nature, because the universal constitution cannot be without it. It is also called harmony and the first profundity. The following deities partook of the nature of the tetrad: Hercules, Mercury, Vulcan, Bacchus, and Urania (one of the Muses).
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[*The triad represents the primary colors and the major planets, while the tetrad represents the secondary colors and the minor planets. From the first triangle come forth the seven spirits, symbolized by a triangle and a square. These together form the Masonic apron.]
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Pentad (#5 Masculine) -
The pentad is the union of an odd and an even number (3 and 2). Among the Greeks, the pentagram was a sacred symbol of light, health, and vitality. It also symbolized the fifth element--ether--because it is free from the disturbances of the four lower elements. It is called equilibrium, because it divides the perfect number 10 into two equal parts.
The pentad is symbolic of Nature, for, when multiplied by itself it returns into itself, just as grains of wheat, starting in the form of seed, pass through Nature's processes and reproduce the seed of the wheat as the ultimate form of their own growth.
Other numbers multiplied by themselves produce other numbers, but only 5 and 6 multiplied by themselves represent and retain their original number as the last figure in their products.
The pentad represents all the superior and inferior beings. It is sometimes referred to as the hierophant, or the priest of the Mysteries, because of its connection with the spiritual ethers, by means of which mystic development is attained. Keywords of the pentad are reconciliation, alternation, marriage, immortality, cordiality, Providence, and sound.
Among the deities who partook of the nature of the pentad were Pallas, Nemesis, Bubastia (Bast), Venus, Androgynia, Cytherea, and the messengers of Jupiter. The number five represented marriage, because it was the sum of two and three.
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[*The tetrad (the elements) plus the monad equals the pentad. The Pythagoreans taught that the elements of earth, fire, air, and water were permeated by a substance called ether--the basis of vitality and life. Therefore, they chose the five-pointed star, or pentagram, as the symbol of vitality, health, and interpenetration. It was customary for the philosophers to conceal the element of earth under the symbol of a dragon, and many of the heroes of antiquity were told to go forth and slay the dragon. Hence, they drove their sword (the monad) into the body of the dragon (the tetrad). This resulted in the formation of the pentad, a symbol of the victory of the spiritual nature over the material nature.]
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Hexad (#6 Feminine) -
The four elements are symbolized in the early Biblical writings as the four rivers that poured out of Garden of Eden. The elements themselves are under the control of the composite Cherubim of Ezekiel. The Pythagoreans held the hexad--6--to represent, as Clement of Alexandria conceived, the creation of the world according to both the prophets and the ancient Mysteries.
It was called by the Pythagoreans the perfection of all the parts. This number was particularly sacred to Orpheus, and also to the Fate, Lachesis, and the Muse, Thalia. It was called the form of forms, the articulation of the universe, and the maker of the soul.
Among the Greeks, harmony and the soul were considered to be similar in nature, because all souls are harmonic. The hexad is also the symbol of marriage, because it is formed by the union of two triangles, one masculine and the other feminine.
Among the keywords given to the hexad are: time, for it is the measure of duration; panacea, because health is equilibrium, and the hexad is a balance number; the world, because the world, like the hexad, is often seen to consist of contraries by harmony; omnisufficient, because its parts are sufficient for totality (3 +2 + 1 = 6); unwearied, because it contains the elements of immortality.
Heptad (#7 Masculine) -
By the Pythagoreans the heptad was called "worthy of veneration." It was held to be the number of religion, because man is controlled by seven celestial spirits to whom it is proper for him to make offerings.
It was called the number of life, because it was believed that human creatures born in the seventh month of embryonic life usually lived, but those born in the eighth month often died. One author called it the Motherless Virgin, Minerva, because it was nor born of a mother but out of the crown, or the head of the Father, the monad.
Keywords of the heptad are fortune, occasion, custody, control, government, judgment, dreams, voices, sounds, and that which leads all things to their end. Deities whose attributes were expressed by the heptad were Ægis, Osiris, Mars, and Cleo (one of the Muses).
Among many ancient nations the heptad is a sacred number. The Elohim of the Jews were supposedly seven in number. They were the Spirits of the Dawn, more commonly known as the Archangels controlling the planets.
The seven Archangels, with the three spirits controlling the sun in its threefold aspect, constitute the 10, the sacred Pythagorean decad. The mysterious Pythagorean tetractys, or four rows of dots, increasing from 1 to 4, was symbolic of the stages of creation.
The great Pythagorean truth that all things in Nature are regenerated through the decad, or 10, is subtly preserved in Freemasonry through these grips being effected by the uniting of 10 fingers, five on the hand of each person.
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[The 3 (spirit, mind, and soul) descend into the 4 (the world), the sum being the 7, or the mystic nature of man, consisting of a threefold spiritual body and a fourfold material form. These are symbolized by the cube, which has six surfaces and a mysterious seventh point within. Six surfaces are the directions: north, east, south, west, up, and down; or, front, back, right, left, above, and below; or again, earth, fire, air, water, spirit, and matter. In the midst of these stands the 1, which is the upright figure of man, from whose center in the cube radiate six pyramids. From this comes the great occult axiom: "The center is the father of the directions, the dimensions, and the distances." The heptad is the number of the law, because it is the number of the Makers of Cosmic law, the Seven Spirits before the Throne.]
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Ogdoad (#8 Feminine) -
The Ogdoad was sacred because it was the number of the first cube, which form had eight corners, and was the only evenly-even number under 10 (1-2-4-8-4-2-1). Thus, the 8 is divided into two 4's, each 4 is divided into two 2's, and each 2 is divided into two 1's, thereby reestablishing the monad. Among the keywords of the ogdoad are love, counsel, prudence, law, and convenience. Among the divinities partaking of its nature were Panarmonia, Rhea, Cibele, Cadmæa, Dindymene, Orcia, Neptune, Themis, and Euterpe (a Muse).
The ogdoad was a mysterious number associated with the Eleusinian Mysteries of Greece and the Cabiri. It was called the little holy number. It derived its form partly from the twisted snakes on the Caduceus of Hermes and partly from the serpentine motion of the celestial bodies; possibly also from the moon's nodes.
Ennead (#9 Masculine) -
The ennead--9--was the first square of an odd number (3x3). It was associated with failure and shortcoming because it fell short of the perfect number 10 by one. It was called the called the number of man, because of the nine months of his embryonic life. Among its keywords are ocean and horizon, because to the ancients these were boundless.
The ennead is the limitless number because there is nothing beyond it but the infinite 10. It was called boundary and limitation, because it gathered all numbers within itself. It was called the sphere of the air, because it surrounded the numbers as air surrounds the earth, Among the gods and goddesses who partook in greater or less degree of its nature were Prometheus, Vulcan, Juno, the sister and wife of Jupiter, Pæan, and Aglaia, Tritogenia, Curetes, Proserpine, Hyperion, and Terpsichore (a Muse).
The 9 was looked upon as evil, because it was an inverted 6. According to the Eleusinian Mysteries, it was the number of the spheres through which the consciousness passed on its way to birth. Because of its close resemblance to the spermatozoon, the 9 has been associated with germinal life.
Decad (#10 Feminine) -
The decad--10--according to the Pythagoreans, is the greatest of numbers, not only because it is the tetractys (the 10 dots) but because it comprehends all arithmetic and harmonic proportions. Pythagoras said that 10 is the nature of number, because all nations reckon to it and when they arrive at it they return to the monad. The decad was called both heaven and the world, because the former includes the latter.
Being a perfect number, the decad was applied by the Pythagoreans to those things relating to age, power, faith, necessity, and the power of memory. It was also called unwearied, because, like God, it was tireless. The Pythagoreans divided the heavenly bodies into ten orders. They also stated that the decad perfected all numbers and comprehended within itself the nature of odd and even, moved and unmoved, good and ill. They associated its power with the following deities: Atlas (for it carried the numbers on its shoulders), Urania, Mnemosyne, the Sun, Phanes, and the One God.
The decimal system can probably be traced back to the time when it was customary to reckon on the fingers, these being among the most primitive of calculating devices and still in use among many aboriginal peoples.
The Monad is so called because it remains always in the same condition--that is, separate from multitude. Its attributes are as follows:
It is called mind, because the mind is stable and has preeminence; hermaphrodism, because it is both male and female; odd and even, for being added to the even it makes odd, and to the odd, even; God, because it is the beginning and end of all, but itself has neither beginning nor end; good, for such is the nature of God; the receptacle of matter, because it produces the duad, which is essentially material.
By the Pythagoreans monad was called chaos, obscurity, chasm, Tartarus, Styx, abyss, Lethe, Atlas, Axis, Morpho (a name for Venus), and Tower or Throne of Jupiter, because of the great power which abides in the center of the universe and controls the circular motion of the planers about itself. Monad is also called germinal reason, because it is the origin of all the thoughts in the universe.
Other names given to it were: Apollo, because of its relation to the sun; Prometheus, because he brought man light; Pyralios, one who exists in fire; geniture, because without it no number can exist; substance, because substance is primary; cause of truth; and constitution of symphony: all these because it is the primordial one. Between greater and lesser the monad is equal; between intention and remission it is middle; in multitude it is mean; and in time it is now, because eternity knows neither past nor future.
Dyad (#2 Feminine) -
The undefined dyad is a deity and the evil, surrounding which is the mass of matter”. The dyad is the door between the One and the Many, a passageway to the journey of spiritual self discovery.
The notion of fertility is associated with its vulva shape, and is thus related to the passage of birth. The dyad involves the principles of “twoness” or “otherness”, Dualist beliefs, Gnostic. Greek philosophers referred to the dyad as “audacity” because of the boldness of separation from the one, and “anguish” because there is still a sense of tension of a desire to return to oneness.
They believed that the dyad divides and unites, repels and attracts, separates and returns. Devotion to truth and simplicity is of major importance. In his book, Numbers, W. Wynn Westcott says of the duad: "it was called 'Audacity,' from its being the earliest number to separate itself from the Divine One; from the 'Adytum of God-nourished Silence,' as the Chaldean oracles say."
The following symbolic names were given to the duad--2--because it has been divided, and is two rather than one; and when there are two, each is opposed to the other: genius, evil, darkness, inequality, instability, movability, boldness, fortitude, contention, matter, dissimilarity, partition between multitude and monad, defect, shapelessness, indefiniteness, indeterminate ness, harmony, tolerance, root, feet of fountain-abounding idea, top, Phanes, opinion, fallacy, alterity, diffidence, impulse, death, motion, generation, mutation, division, longitude, augmentation, composition, communion, misfortune, sustentation, imposition, marriage, soul, and science.
While the monad is the symbol of wisdom, the duad is the symbol of ignorance, for in it exists the sense of separateness--which sense is the beginning of ignorance. The duad, however, is also the mother of wisdom, for ignorance--out of the nature of itself--invariably gives birth to wisdom.
Triad (#3 Masculine) –
The Triad is the first number actually odd (monad not always being considered a number). It is the first equilibrium of unities; therefore, Pythagoras said that Apollo gave oracles from a tripod, and advised offer of libation three times. The keywords to the qualities of the triad are friendship, peace, justice, prudence, piety, temperance, and virtue.
The following deities partake of the principles of the triad: Saturn (ruler of time), Latona, Cornucopiæ, Ophion (the great serpent), Thetis, Hecate, Polyhymnia (a Muse), Pluto, Triton, President of the Sea, Tritogenia, Achelous, and the Faces, Furies, and Graces.
This number is called wisdom, because men organize the present, foresee the future, and benefit by the experiences of the fast. It is cause of wisdom and understanding. The triad is the number of knowledge--music, geometry, and astronomy, and the science of the celestials and terrestrials. Pythagoras taught that the cube of this number had the power of the lunar circle.
The sacredness of the triad and its symbol--the triangle--is derived from the fact that it is made up of the monad and the duad. The monad is the symbol of the Divine Father and the duad of the Great Mother. The triad being made of these two is therefore androgynous and is symbolic of the fact that God gave birth to His worlds out of Himself, who in His creative aspect is always symbolized by the triangle.
The monad passing into the duad was thus capable of becoming the parent of progeny, for the duad was the womb of Meru, within which the world was incubated and within which it still exists in embryo.
Tetrad (#4 Feminine) -
There are four seasons, four ages of man, four directions Four is the first number formed by addition and multiplication of equals. It is the first “female” number because it is the first even number. signified the four seasons and the four elements. The Tetrad was esteemed by the Pythagoreans as the primogenial number, the root of all things, the fountain of Nature and the most perfect number.
All tetrads are intellectual; they have an emergent order and encircle the world as the Empyreum passes through it. Why the Pythagoreans expressed God as a tetrad is explained in a sacred discourse ascribed to Pythagoras, wherein God is called the Number of Numbers.
This is because the decad, or 10, is composed of 1, 2, 3, and 4. The number 4 is symbolic of God because it is symbolic of the first four numbers. Moreover, the tetrad is the center of the week, being halfway between 1 and 7. The tetrad is also the first geometric solid.
Pythagoras maintained that the soul of man consists of a tetrad, the four powers of the soul being mind, science, opinion, and sense. The tetrad connects all beings, elements, numbers, and seasons; nor can anything be named which does not depend upon the tetractys.
It is the Cause and Maker of all things, the intelligible God, Author of celestial and sensible good, Plutarch interprets this tetractys, which he said was also called the world, to be 36, consisting of the first four odd numbers added to the first four even numbers.
Keywords given to the tetrad are impetuosity, strength, virility, two-mothered, and the key keeper of Nature, because the universal constitution cannot be without it. It is also called harmony and the first profundity. The following deities partook of the nature of the tetrad: Hercules, Mercury, Vulcan, Bacchus, and Urania (one of the Muses).
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[*The triad represents the primary colors and the major planets, while the tetrad represents the secondary colors and the minor planets. From the first triangle come forth the seven spirits, symbolized by a triangle and a square. These together form the Masonic apron.]
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Pentad (#5 Masculine) -
The pentad is the union of an odd and an even number (3 and 2). Among the Greeks, the pentagram was a sacred symbol of light, health, and vitality. It also symbolized the fifth element--ether--because it is free from the disturbances of the four lower elements. It is called equilibrium, because it divides the perfect number 10 into two equal parts.
The pentad is symbolic of Nature, for, when multiplied by itself it returns into itself, just as grains of wheat, starting in the form of seed, pass through Nature's processes and reproduce the seed of the wheat as the ultimate form of their own growth.
Other numbers multiplied by themselves produce other numbers, but only 5 and 6 multiplied by themselves represent and retain their original number as the last figure in their products.
The pentad represents all the superior and inferior beings. It is sometimes referred to as the hierophant, or the priest of the Mysteries, because of its connection with the spiritual ethers, by means of which mystic development is attained. Keywords of the pentad are reconciliation, alternation, marriage, immortality, cordiality, Providence, and sound.
Among the deities who partook of the nature of the pentad were Pallas, Nemesis, Bubastia (Bast), Venus, Androgynia, Cytherea, and the messengers of Jupiter. The number five represented marriage, because it was the sum of two and three.
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[*The tetrad (the elements) plus the monad equals the pentad. The Pythagoreans taught that the elements of earth, fire, air, and water were permeated by a substance called ether--the basis of vitality and life. Therefore, they chose the five-pointed star, or pentagram, as the symbol of vitality, health, and interpenetration. It was customary for the philosophers to conceal the element of earth under the symbol of a dragon, and many of the heroes of antiquity were told to go forth and slay the dragon. Hence, they drove their sword (the monad) into the body of the dragon (the tetrad). This resulted in the formation of the pentad, a symbol of the victory of the spiritual nature over the material nature.]
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Hexad (#6 Feminine) -
The four elements are symbolized in the early Biblical writings as the four rivers that poured out of Garden of Eden. The elements themselves are under the control of the composite Cherubim of Ezekiel. The Pythagoreans held the hexad--6--to represent, as Clement of Alexandria conceived, the creation of the world according to both the prophets and the ancient Mysteries.
It was called by the Pythagoreans the perfection of all the parts. This number was particularly sacred to Orpheus, and also to the Fate, Lachesis, and the Muse, Thalia. It was called the form of forms, the articulation of the universe, and the maker of the soul.
Among the Greeks, harmony and the soul were considered to be similar in nature, because all souls are harmonic. The hexad is also the symbol of marriage, because it is formed by the union of two triangles, one masculine and the other feminine.
Among the keywords given to the hexad are: time, for it is the measure of duration; panacea, because health is equilibrium, and the hexad is a balance number; the world, because the world, like the hexad, is often seen to consist of contraries by harmony; omnisufficient, because its parts are sufficient for totality (3 +2 + 1 = 6); unwearied, because it contains the elements of immortality.
Heptad (#7 Masculine) -
By the Pythagoreans the heptad was called "worthy of veneration." It was held to be the number of religion, because man is controlled by seven celestial spirits to whom it is proper for him to make offerings.
It was called the number of life, because it was believed that human creatures born in the seventh month of embryonic life usually lived, but those born in the eighth month often died. One author called it the Motherless Virgin, Minerva, because it was nor born of a mother but out of the crown, or the head of the Father, the monad.
Keywords of the heptad are fortune, occasion, custody, control, government, judgment, dreams, voices, sounds, and that which leads all things to their end. Deities whose attributes were expressed by the heptad were Ægis, Osiris, Mars, and Cleo (one of the Muses).
Among many ancient nations the heptad is a sacred number. The Elohim of the Jews were supposedly seven in number. They were the Spirits of the Dawn, more commonly known as the Archangels controlling the planets.
The seven Archangels, with the three spirits controlling the sun in its threefold aspect, constitute the 10, the sacred Pythagorean decad. The mysterious Pythagorean tetractys, or four rows of dots, increasing from 1 to 4, was symbolic of the stages of creation.
The great Pythagorean truth that all things in Nature are regenerated through the decad, or 10, is subtly preserved in Freemasonry through these grips being effected by the uniting of 10 fingers, five on the hand of each person.
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[The 3 (spirit, mind, and soul) descend into the 4 (the world), the sum being the 7, or the mystic nature of man, consisting of a threefold spiritual body and a fourfold material form. These are symbolized by the cube, which has six surfaces and a mysterious seventh point within. Six surfaces are the directions: north, east, south, west, up, and down; or, front, back, right, left, above, and below; or again, earth, fire, air, water, spirit, and matter. In the midst of these stands the 1, which is the upright figure of man, from whose center in the cube radiate six pyramids. From this comes the great occult axiom: "The center is the father of the directions, the dimensions, and the distances." The heptad is the number of the law, because it is the number of the Makers of Cosmic law, the Seven Spirits before the Throne.]
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Ogdoad (#8 Feminine) -
The Ogdoad was sacred because it was the number of the first cube, which form had eight corners, and was the only evenly-even number under 10 (1-2-4-8-4-2-1). Thus, the 8 is divided into two 4's, each 4 is divided into two 2's, and each 2 is divided into two 1's, thereby reestablishing the monad. Among the keywords of the ogdoad are love, counsel, prudence, law, and convenience. Among the divinities partaking of its nature were Panarmonia, Rhea, Cibele, Cadmæa, Dindymene, Orcia, Neptune, Themis, and Euterpe (a Muse).
The ogdoad was a mysterious number associated with the Eleusinian Mysteries of Greece and the Cabiri. It was called the little holy number. It derived its form partly from the twisted snakes on the Caduceus of Hermes and partly from the serpentine motion of the celestial bodies; possibly also from the moon's nodes.
Ennead (#9 Masculine) -
The ennead--9--was the first square of an odd number (3x3). It was associated with failure and shortcoming because it fell short of the perfect number 10 by one. It was called the called the number of man, because of the nine months of his embryonic life. Among its keywords are ocean and horizon, because to the ancients these were boundless.
The ennead is the limitless number because there is nothing beyond it but the infinite 10. It was called boundary and limitation, because it gathered all numbers within itself. It was called the sphere of the air, because it surrounded the numbers as air surrounds the earth, Among the gods and goddesses who partook in greater or less degree of its nature were Prometheus, Vulcan, Juno, the sister and wife of Jupiter, Pæan, and Aglaia, Tritogenia, Curetes, Proserpine, Hyperion, and Terpsichore (a Muse).
The 9 was looked upon as evil, because it was an inverted 6. According to the Eleusinian Mysteries, it was the number of the spheres through which the consciousness passed on its way to birth. Because of its close resemblance to the spermatozoon, the 9 has been associated with germinal life.
Decad (#10 Feminine) -
The decad--10--according to the Pythagoreans, is the greatest of numbers, not only because it is the tetractys (the 10 dots) but because it comprehends all arithmetic and harmonic proportions. Pythagoras said that 10 is the nature of number, because all nations reckon to it and when they arrive at it they return to the monad. The decad was called both heaven and the world, because the former includes the latter.
Being a perfect number, the decad was applied by the Pythagoreans to those things relating to age, power, faith, necessity, and the power of memory. It was also called unwearied, because, like God, it was tireless. The Pythagoreans divided the heavenly bodies into ten orders. They also stated that the decad perfected all numbers and comprehended within itself the nature of odd and even, moved and unmoved, good and ill. They associated its power with the following deities: Atlas (for it carried the numbers on its shoulders), Urania, Mnemosyne, the Sun, Phanes, and the One God.
The decimal system can probably be traced back to the time when it was customary to reckon on the fingers, these being among the most primitive of calculating devices and still in use among many aboriginal peoples.