The quaternary is the most perfect number, and the root of other numbers, and of all things. The tetrad expresses the first mathematical power. Four represents also the generative power, from which all combinations are derived. The Initiates considered it the emblem of Movement and the Infinite, representing everything that is neither corporeal nor sensible. Pythagoras communicated it to his disciples as a symbol of the Eternal and Creative Principle, under the name of Quaternary, the Ineffable Name of God, which signifies Source of everything that has received existence; and which, in Hebrew, is composed of four letters.

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In the Quaternary we find the first solid figure, the universal symbol of immortality, the pyramid. The Gnostics claimed that the whole edifice of their science rested on a square whose angles were . . . Σιγή, Silence: Βυθος Profundity: Νοος, Intelligence: and Αληθεια, Truth. For if the Triangle, figured by the number 3, forms the triangular base of the pyramid, it is unity which forms its point or summit.

Lysias and Timæus of Locria said that not a single thing could be named, which did not depend on the quaternary as its root.

There is, according to the Pythagoreans, a connection between the gods and numbers, which constitutes the kind of Divination called Arithmomancy. The soul is a number: it is moved of itself: it contains in itself the quaternary number.

Matter being represented by the number 9, or 3 times 3, and the Immortal Spirit having for its essential hieroglyphic the quaternary or the number 4, the Sages said that Man, having gone astray and become entangled in an inextricable labyrinth, in going from four to nine, the only way which he could take to emerge from these deceitful paths, these disastrous detours, and the abyss of evil into which he had plunged, was to retrace his steps, and go from nine to four.

The ingenious and mystical idea which caused the Triangle to be venerated, was applied to the figure 4 (4). It was said that it expressed a living being, I, bearer of the Triangle △, the emblem of God; i.e., man bearing with himself a Divine principle.

Four was a divine number; it referred to the Deity, and many Ancient Nations gave God a name of four letters; as the Hebrews ‏ו ?Y?H?W?H‎, the Egyptians AMUN, the Persians SURA, the Greeks ΘΕΟΣ, and the Latins DEUS. This was the Tetragrammaton of the Hebrews, and the Pythagoreans called it Tetractys, and swore their most solemn oath by it. So too ODIN among the Scandinavians, ΖΕΥΣ among the Greeks, PHTA among the Egyptians, THOTH among the Phœnicians, and AS-UR and NEBO among the Assyrians. The list might be indefinitely extended.

The number 5 was considered as mysterious, because it was compounded of the Binary, Symbol of the False and Double, and the Ternary, so interesting in its results. It thus energetically expresses the state of imperfection, of order and disorder, of happiness and misfortune, of life and death, which we see upon the earth. To the Mysterious Societies it offered the fearful image of

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the Bad Principle, bringing trouble into the inferior order,–in a word, the Binary acting in the Ternary.

Under another aspect it was the emblem of marriage; because it is composed of 2, the first equal number, and of 3, the first unequal number. Wherefore Juno, the Goddess of Marriage, had for her hieroglyphic the number 5.

Moreover, it has one of the properties of the number 9, that of reproducing itself, when multiplied by itself: there being always a 5 on the right hand of the product; a result which led to its use as a symbol of material changes.

The ancients represented the world by the number 5. A reason for it, given by Diodorus, is, that it represents earth, water, air, fire, and ether or spirit. Thence the origin of πεντε (5) and Παν the Universe, as the whole.

The number 5 designated the universal quintessence, and symbolized, by its form ς, the vital essence, the animating spirit, which flows [serpentat] through all nature. In fact, this ingenious figure is the union of the two Greek accents ‘ ’, placed over those vowels which ought to be or ought not to be aspirated. The first sign ‘ bears the name of potent spirit; and signifies the Superior Spirit, the Spirit of God aspirated (spiratus), respired by man. The second sign ’ is styled mild spirit, and represents the secondary spirit, the spirit purely human.

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