As the old number symbolism constitutes a part of the hieroglyphics of alchemy, I shall pause a moment to consider them. The use of mathematical and geometrical symbols proceeds from the use of the simplest forms, points and lines, but in all cases where the object is not a representation in the flat but in space, both the points and lines are replaced by [pg 185] plastic forms, i.e., forms of cylinders, spheres, bars, rings, cubes, etc. From this point it was but a short step to the use of trees, leaves, flowers, implements, and other things that showed similarities in form. Pillars are specially noticeable for the symbolism of the ceremonial chamber. In all cases where points and lines occur in images and drawings, pillars are found in the plastic representation of thoughts and symbols. They form the chief element of the organization of cults in academies and museums, and justify the names of colonnade, stoa, portico, and loggia, which occur everywhere; besides the special designation like Οἰκυς αἰονὶος, etc.
For symbolism, too, which served as the characterization of the forms of organization and the building up of the fraternity into degrees, lines were useless, but in place of lines and points are found plastic forms which were at their disposal in carpenters' squares, crossed bars, etc. (Keller, l. c., p. 10.)
As the circle symbolized the all and the eternal or the celestial unity of the all, and the divinity, so the number one, the single line, the staff or the scepter, represented the terrestrial copy of the power, the ruling, guiding, sustaining and protecting force of the personality that had attained freedom on earth.
The sun or gold symbol [Symbol: Sun] corresponds in alchemy to the divine circle and the same circle occurs in other symbols of the art, as in [Symbol: Copper] [Symbol: Mercury], etc.
Duality, the Dyas, represents in contrast to the celestial being the divided terrestrial being that is [pg 186] dominated by the antagonism of things and is only a transitory, imperfect existence; the opposites, fluid and solid, sulphur and mercury, dry and wet, etc.
In the symbol of the trinity, which frequently occurs in the form of a triangle (three points united by three straight lines), is shown how the divided and sensuous nature is led by the higher power of the number 3 to a harmony of powers and to a new unity. The symbol of reason attaining victory over matter becomes visible. A representation of trinity is possible by means of the conventional cross. We can see in it two elements of lines which by their unification or penetration give the third as the point of intersection. More generally the cross is conceived as quinity (fiveness)—i.e., 4+1ness (in alchemy four elements which are collected about the quinta esentia). A cross in which unity splits into duality so that trinity results, is Y, which is called the forked cross. From unity grows duality, that is, nature divides into spirit and matter, into active and passive, necessity and freedom. The divided returns through trinity to unity. In alchemy we have the symbol REBIS, the hermaphrodite with the two heads. The ancient symbol was later conceived, by purposive concealment or by more accidental interpretation, as the letter Y, just as the symbol of the three lines [Symbol: fire] or [Symbol: fire with a line coming out top pointing left] and the like gradually appears to have become an A, as it is found frequently in the catacombs. Keller refers (l. c., p. 14) also especially to the reduplication of the carpenter's square, which is found likewise in the old Latomies (Gk. = [pg 187] quarries) and has the appearance of two intersecting opened circles. I do not need to call attention to the masonic analogue; in alchemy we have here the interpenetration of [Symbol: fire] and [Symbol: Water], i.e., [Symbol: Star of David], which is among others the symbol for the material of the stone. [Symbol: Fire] and [Symbol: Water] are the symbols for the elements fire and water. Fire and water, however, mean also the famous two opposites, that are symbolized quite as well by warm and cold, red and white, soul and body, sun and moon, man and woman.] With regard to the six points, in alchemy [Symbol: Star of David] is also called chaos in contrast to [Symbol: Star of David], which denotes cosmos, just as alum [Symbol: circle] on account of its lack of a center (God, belief, union), is incomplete beside [Symbol: sol]. In the catacombs the triangle is found also in multiple [five fold] combination, [Symbol: Star of David].
Four lines, somewhat in the form of a rectangle, define the limited space of the terrestrial world with the accessory meaning of the holy precinct, house, temple. In masonry, [Symbol: square] is well known as the lodge. The rectangle is related to the cube. I mention therefore in this place the cubic stone, the mighty masonic symbol, whose equivalent in alchemy will be discussed.
By a commonly used change of significance the number 5 is symbolized by 5-leaved plants (rose, lily, vine). “The flowers, however, and the garden in which they grow, early served as symbols of the Fields of the Blessed or the ‘better country’ in which dwell the souls passing through death to life; in antithesis to the terrestrial house of God, the [pg 188] temple built with hands, which was represented by the rectangle [Symbol: rectangle], the holy number 5 denoted the celestial abodes of the souls that had attained perfection, and therefore represented both the House of Eternity or the City of God and the Heavenly Jerusalem. The holy pentagram in the form of the rose, not only in the ancient but in the early Christian world, decorated the graves of the dead, that in their turn symbolized the gardens of the blessed. And the significance that the academies and loggia attributed to the pentagram placed in the rose is explained by the fact that their religious festival was closely connected with this emblem. Already in the ancient world at the festival of St. John, the rose feast or rhodismus or Rosalia was celebrated, at which the participants adorned themselves with roses and held religious feasts.” (Keller, 1. c., p. 21.)
As already mentioned, the cross, i.e., the Greek cross with its four equal arms, expresses the number five. It is interesting that already in the ancient number symbolism, rose and cross appear united, a fact which I mention here in view of the later connection of these two objects.
The semicircle or moon is an emblem of borrowed light. Besides the circles or spheres, the symbols of eons (divine beings, powers) that are enthroned in the ether as eternal beings, the human soul—the psyche or anima, which does not coincide with reason or the purified soul—appears as a broken circle. As the sun and its symbol, the ragged circle, symbolize the eternal light, the half circle is, as it were, [pg 189] the symbol of that spark of light that slumbers in the soul of man, or, as the alchemists often say, the hidden fire that is to be awakened by the process. If we reflect that in this symbolism the cross expresses a penetration, the alchemic symbol [Symbol: mercury] is explained. It is now quite interesting that the like connection appears in the subterranean places of worship in this form [Symbol: female with concave arc underneath it], (l. c., p. 27). Keller calls it a symbol of the all and the soul of man.