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. 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.

By the Pythagoreans the heptad–7–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.

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. The 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.

The ogdoad–8–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).

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