Passages similar to: Stromata (Miscellanies) — Chapter XI: The Mystical Meanings in the Proportions of Numbers, Geometrical Ratios, and Music.
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Christian Mysticism
Stromata (Miscellanies)
Chapter XI: The Mystical Meanings in the Proportions of Numbers, Geometrical Ratios, and Music. (5)
Such, then, is the style of the example in arithmetic. And let the testimony of geometry be the tabernacle that was constructed, and the ark that was fashioned, - constructed in most regular proportions, and through divine ideas, by the gift of understanding, which leads us from things of sense to intellectual objects, or rather from these to holy things, and to the holy of holies. For the squares of wood indicate that the square form, producing fight angles, pervades all, and points out security. And the length of the structure was three hundred cubits, and the breadth fifty, and the height thirty; and above, the ark ends in a cubit, narrowing to a cubit from the broad base like a pyramid, the symbol of those who are purified and tested by fire. And this geometrical proportion has a place, for the transport of those holy abodes, whose differences are indicated by the differences of the numbers set down below.
"Since nature has designed the human body so that its members are duly proportioned to the frame as a whole, it appears that the ancients had good...
(9) "Since nature has designed the human body so that its members are duly proportioned to the frame as a whole, it appears that the ancients had good reason for their rule, that in perfect building the different members must be in exact symmetrical relations to the whole general scheme. Hence, while transmitting to us the proper arrangements for buildings of all kinds, they were particularly careful to do so in the case of temples of the gods, buildings in which merits and faults usually last forever. * * * Therefore, if it is agreed that number was found out from the human fingers, and that there is a symmetrical correspondent between the members separately and the entire form of the body, in accordance with a certain part selected as standard, we can have nothing but respect for those who, in constructing temples of the immortal gods, have so arranged the members of the works that both the separate parts and the whole design may harmonize in their proportions and symmetry." (See The Ten Books on Architecture)
They are due to proportion, in ἀναλογία. Proportion is a correspondence among the measures of the members of an entire work, and of the whole to a cer...
(16) "The design of a temple depends on symmetry, the principles of which must be most carefully observed by the architect. They are due to proportion, in ἀναλογία. Proportion is a correspondence among the measures of the members of an entire work, and of the whole to a certain part selected as standard. From this result the principles of symmetry. Without symmetry and proportion there can be no principles in the design of any temple; that is, if there is no precise relation between its members, as in the case of those of a well shaped man. For the human body is so designed by nature that the face, from the chin to the top of the forehead and the lowest roots of the hair, is a tenth part of the whole height; the open hand from the wrist to the tip of the middle finger is just the same; the head from the chin to the crown is an eighth, and with the neck and shoulder from the top of the breast to the lowest roots of the hair is a sixth; from the middle of the breast to the summit of the crown is a fourth. If we take the height of the face itself, the distance from the bottom of the chin to the under side of the nostrils [and from that point] to a line between the eyebrows is the same; from there to the lowest roots of the hair is also a third, comprising the forehead. The length of the foot is one sixth of the height of the body; of the forearm, one fourth; and the breadth of the breast is also one fourth. The other members, too, have their own symmetrical proportions, and it was by employing them that the famous painters and sculptors of antiquity attained to great and endless renown."
The supreme ambition of the Dionysiac Architects was the construction of buildings which would create distinct impressions consistent with the...
(18) The supreme ambition of the Dionysiac Architects was the construction of buildings which would create distinct impressions consistent with the purpose for which the structure itself was designed. In common with the Pythagoreans, they believed it possible by combinations of straight lines and curves to induce any desired mental attitude or emotion. They labored, therefore, to the end of producing a building perfectly harmonious with the structure of the universe itself. They may have even believed that an edifice so constructed because it was in no respect at variance with any existing reality would not be subject to dissolution but would endure throughout the span of mortal time. As a logical deduction from their philosophic trend of thought, such a building--en rapport with Cosmos--would also have become an oracle. Certain early works on magical philosophy hint that the Ark of the Covenant was oracular in character because of specially prepared chambers in its interior. These by their shape and arrangement were so attuned to the vibrations of the invisible world that they caught and amplified the voices of the ages imprinted upon and eternally existent in the substance of the astral light.
"When Moses distinguished the tabernacle into three parts, and allowed two of them to the priests, as a place accessible and common, he denoted the...
(33) "When Moses distinguished the tabernacle into three parts, and allowed two of them to the priests, as a place accessible and common, he denoted the land and the sea, these being of general access to all; but he set apart the third division for God, because heaven is inaccessible to men. And when he ordered twelve loaves to be set on a table, he denoted the year, as distinguished into so many months. By branching out the candlestick into seventy parts, he secretly intimated the Decani, or seventy divisions of the planets; and as to the seven lamps upon the candlesticks, they referred to the course of the planets, of which that is the number. The veils too, which were composed of four things, they declared the four elements; for the plain linen was proper to signify the earth, because the flax grows out of the earth; the purple signified the sea, because that color is dyed by the blood of a sea shell-fish; the blue is fit to signify the air; and the scarlet will naturally be an indication of fire.
The square base of the Pyramid is a constant reminder that the House of Wisdom is firmly founded upon Nature and her immutable laws. "The Gnostics,"...
(38) The square base of the Pyramid is a constant reminder that the House of Wisdom is firmly founded upon Nature and her immutable laws. "The Gnostics," writes Albert Pike, "claimed that the whole edifice of their science rested on a square whose angles were: Σιγη, Silence; Βυθος, Profundity; Νους, Intelligence; and Αληθεια Truth." (See Morals and Dogma.) The sides of the Great Pyramid face the four cardinal angles, the latter signifying according to Eliphas Levi the extremities of heat and cold (south and north) and the extremities of light and darkness (east and west). The base of the Pyramid further represents the four material elements or substances from the combinations of which the quaternary body of man is formed. From each side of the square there rises a triangle, typifying the threefold divine being enthroned within every quaternary material nature. If each base line be considered a square from which ascends a threefold spiritual power, then the sum of the lines of the four faces (12) and the four hypothetical squares (16) constituting the base is 28, the sacred number of the lower world. If this be added to the three septenaries composing the sun (21), it equals 49, the square of 7 and the number of the universe.
Thus they call the equilateral triangle head-born Minerva and Tritogenia, because it may be equally divided by three perpendiculars drawn from each of...
(3) "The Pythagoreans indeed go farther than this, and honour even numbers and geometrical diagrams with the names and titles of the gods. Thus they call the equilateral triangle head-born Minerva and Tritogenia, because it may be equally divided by three perpendiculars drawn from each of the angles. So the unit they term Apollo, as to the number two they have affixed the name of strife and audaciousness, and to that of three, justice. For, as doing an injury is an extreme on the one side, and suffering one is an extreme on the on the one side, and suffering in the middle between them. In like manner the number thirty-six, their Tetractys, or sacred Quaternion, being composed of the first four odd numbers added to the first four even ones, as is commonly reported, is looked upon by them as the most solemn oath they can take, and called Kosmos." (Isis and Osiris.)
Into the Holy of Holies none might pass save the High Priest, and he only at certain prescribed times, The room contained no furnishings save the Ark...
(30) Into the Holy of Holies none might pass save the High Priest, and he only at certain prescribed times, The room contained no furnishings save the Ark of the Covenant, which stood against the western wall, opposite the entrance. In Exodus the dimensions of the Ark are given as two and a half cubits for its length, one cubit and a half its breadth and one cubit and a half its height. It was made of shittim-wood, gold plated within and without, and contained the sacred tablets of the Law delivered to Moses upon Sinai. The lid of the Ark was in the form of a golden plate upon which knelt two mysterious creatures called Cherubim, facing each other, with wings arched overhead. It was upon this mercy seat between the wings of the celestials that the Lord of Israel descended when He desired to communicate with His High Priest.
The body of every thing was likened to a rock, trued either into a cube or more ornately chiseled to form a pedestal, while the spirit of everything...
(10) The body of every thing was likened to a rock, trued either into a cube or more ornately chiseled to form a pedestal, while the spirit of everything was likened to the elaborately carved figure surmounting it. Accordingly, altars were erected as a symbol of the lower world, and fires were kept burning upon them to represent that spiritual essence illuminating the body it surmounted. The square is actually one surface of a cube, its corresponding figure in plane geometry, and its proper philosophic symbol. Consequently, when considering the earth as an element and not as a body, the Greeks, Brahmins, and Egyptians always referred to its four corners, although they were fully aware that the planet itself was a sphere.
Timaeus: when joined together, formed eight solid angles, each composed of three plane right angles; and the shape of the body thus constructed was...
(55) Timaeus: when joined together, formed eight solid angles, each composed of three plane right angles; and the shape of the body thus constructed was cubic, having six plane equilateral quadrangular bases. And seeing that there still remained one other compound figure, the fifth, God used it up for the Universe in his decoration thereof. Now in reasoning about all these things, a man might question whether he ought to affirm the existence of an infinite diversity of Universes or a limited number; and if he questioned aright he would conclude that the doctrine of an infinite diversity is that of a man unversed
Let this, then, be, for the uninitiated, a conducting guidance of the soul, which separates, as is meet things sacred and uniform from multiplicity,...
(10) Let this, then, be, for the uninitiated, a conducting guidance of the soul, which separates, as is meet things sacred and uniform from multiplicity, and apportions the harmonious elevation to the Orders severally in turn. But we, who have ascended by sacred gradations to the sources of the things performed, and have been religiously taught these (sources), shall recognize of what moulds they are the reliefs, and of what invisible things they are the likenesses. For, as is distinctly shewn in the Treatise concerning "Intelligible and Sensible," sacred things in sensible forms are copies of things intelligible, to which they lead and shew the way; and things intelligible are source and science of things hierarchical cognizable by the senses.
Although an immense amount of labor was involved in its construction, Solomon's Temple--in the words of George Oliver--"was only a small building and...
(3) Although an immense amount of labor was involved in its construction, Solomon's Temple--in the words of George Oliver--"was only a small building and very inferior in point of size to some of our churches." The number of buildings contiguous to it and the vast treasure of gold and precious stones used in its construction concentrated a great amount of wealth within the temple area. In the midst of the temple stood the Holy of Holies, sometimes called the Oracle. It was an exact cube, each dimension being twenty cubits, and exemplified the influence of Egyptian symbolism. The buildings of the temple group were ornamented with 1,453 columns of Parian marble, magnificently sculptured, and 2,906 pilasters decorated with capitals. There was a broad porch facing the east, and the sanctum sanctorum was upon the west. According to tradition, the various buildings and courtyards could hold in all 300,000 persons. Both the Sanctuary and the Holy of Holies were entirely lined with solid gold plates encrusted with jewels.
"Now the vestment of the high-priest being made of linen, signified the earth; the blue denoted the sky, being like lightning in its pomegranates,...
(34) "Now the vestment of the high-priest being made of linen, signified the earth; the blue denoted the sky, being like lightning in its pomegranates, and in the noise of the bells resembling thunder. And for the Ephod, it showed that God had made the universe of four (elements); and as for the gold interwoven, * * * it related to the splendor by which all things are enlightened. He also appointed the breastplate to be placed in the middle of the Ephod, to resemble the earth, for that has the very middle place of the world. And the girdle which encompassed the high-priest round signified the ocean, for that goes round about and includes the universe. Each of the sardonyxes declares to us the sun and the moon, those, I mean, that were in the nature of buttons on the high-priest's shoulders. And for the twelve stones, whether we understand by them the months, or whether we understand the like number of the signs of that circle which the Greeks call the Zodiac, we shall not be mistaken in their meaning. And for the mitre, which was of a blue colour, it seems to me to mean heaven; for how otherwise could the name of God be inscribed upon it? That it was also illustrated with a crown, and that of gold also, is because of that splendour with which God is pleased." It is also symbolically significant that the Tabernacle was built in seven months and dedicated to God at the time of the new moon.
For any one might say that the cause why forms are naturally attributed to the formless, and shapes to the shapeless, is not alone our capacity which ...
(2) But if any one think well to accept the sacred compositions as of things simple and unknown in their own nature, and beyond our contemplation, but thinks the imagery of the holy minds in the Oracles is incongruous, and that all this is, so to speak, a rude scenic representation of the angelic names; and further says that the theologians ought, when they have come to the bodily representation of creatures altogether without body, to represent and display them by appropriate and, as far as possible, cognate figures, taken, at any rate, from our most honoured and immaterial and exalted beings, and ought not to clothe the heavenly and Godlike simple essences with the many forms of the lowest creatures to be found on the earth (for the one would perhaps be more adapted to our instruction, and would not degrade the celestial explanations to incongruous dissimilitudes; but the other both does violence without authority to the Divine powers, and likewise leads astray our minds, through dwelling upon these irreverent descriptions); and perhaps he will also think that the super-heavenly places are filled with certain herds of lions, and troops of horses, and bellowing songs of praise, and flocks of birds, and other living creatures, and material and less honourable things, and whatever else the similitudes of the Oracles, in every respect dissimilar, describe, for a so-called explanation, but which verge towards the absurd, and pernicious, and impassioned; now, in my opinion, the investigation of the truth demonstrates the most sacred wisdom of the Oracles, in the descriptions of the Heavenly Minds, taking forethought, as that wisdom does, wholly for each, so as neither, as one may say, to do violence to the Divine Powers, nor at the same time to enthral us in the grovelling passions of the debased imagery. For any one might say that the cause why forms are naturally attributed to the formless, and shapes to the shapeless, is not alone our capacity which is unable immediately to elevate itself to the intelligible contemplations, and that it needs appropriate and cognate instructions which present images, suitable to us, of the formless and supernatural objects of contemplation; but further, that it is most agreeable to the revealing Oracles to conceal, through mystical and sacred enigmas, and to keep the holy and secret truth respecting the supermundane minds inaccessible to the multitude. For it is not every one that is holy, nor, as the Oracles affirm, does knowledge belong to all.
The dimensions of the Tabernacle proper were as follows: "Its length, when it was set up, was thirty cubits, and its breadth was ten cubits. The one...
(18) The dimensions of the Tabernacle proper were as follows: "Its length, when it was set up, was thirty cubits, and its breadth was ten cubits. The one of its walls was on the south, and the other was exposed to the north, and on the back part of it remained the west. It was necessary that its height should be equal to its breadth (ten cubits)." (Josephus.)
Life is the great mystery, and only those who pass successfully through its tests and trials, interpreting them aright and extracting the essence of...
(9) Life is the great mystery, and only those who pass successfully through its tests and trials, interpreting them aright and extracting the essence of experience therefrom, achieve true understanding. Thus, the temples were built in the form of the world and their rituals were based upon life and its multitudinous problems. Nor only was the Tabernacle itself patterned according to Egyptian mysticism; its utensils were also of ancient and accepted form. The Ark
Of his wisdom, however, the commentaries written by the Pythagoreans afford, in short, the greatest indication; for they adhere to truth in every...
(1) Of his wisdom, however, the commentaries written by the Pythagoreans afford, in short, the greatest indication; for they adhere to truth in every thing, and are more concise than all other compositions, so that they savour of the ancient elegance of style, and the conclusions are exquisitely deduced with divine science. They are also replete with the most condensed conceptions, and are in other respects various and diversified both in the form and the matter. At one and the same time likewise, they are transcendently excellent, and without any deficiency in the diction, and are in an eminent degree full of clear and indubitable arguments, accompanied with scientific demonstration, and as it is said, the most perfect syllogism; as he will find to be the case, who, proceeding in such paths as are fit, does not negligently peruse them.
This science, therefore, concerning intelligible natures and the Gods, Pythagoras delivers in his writings from a supernal origin. Afterwards, he teaches the whole of physics, and unfolds completely ethical philosophy and logic. He likewise delivers all-various disciplines, and the most excellent sciences. And in short there is nothing pertaining to human knowledge which is not accurately discussed in these writings. If therefore it is acknowledged, that of the [Pythagoric] writings which are now in circulation, some were written by Pythagoras himself, but others consist of what he was heard to say, and on this account are anonymous, but are referred to Pythagoras as their author;—if this be the case, it is evident that he was abundantly skilled in all wisdom.
But it is said that he very much applied himself to geometry among the Egyptians. For with the Egyptians there are many geometrical problems; since it is necessary that from remote periods, and from the time of the Gods themselves, on account of the increments and decrements of the Nile, those that were skilful should have measured all the Egyptian land which they cultivated. Hence also geometry derived its name. Neither did they negligently investigate the theory of the celestial orbs, in which likewise Pythagoras was skilled. Moreover, all the theorems about lines appear to have been derived from thence. For it is said that what pertains to computation and numbers, was discovered in Phœnicia. For some persons refer the theorems about the celestial bodies to the Egyptians and Chaldeans in common.
It is said therefore, that Pythagoras having received and increased all these [theories,] imparted the sciences, and at the same time demonstrated them to his auditors with perspicuity and elegance. And he was the first indeed that denominated philosophy, and said that it was the desire, and as it were love of wisdom. But he defined wisdom to be the science of the truth which is in beings. And he said that beings are immaterial and eternal natures, and alone possess an efficacious power, such as incorporeal essences. But that the rest of things are only homonymously beings, and are so denominated through the participation of real beings, and such are corporeal and material forms, which are generated and corrupted, and never truly are.
And that wisdom is the science of things which are properly beings, but not of such as are homonymously so. For corporeal natures are neither the objects of science nor admit of a stable knowledge, since they are infinite and incomprehensible by science, and are as it were, non-beings, when compared with universals, and are incapable of being properly circumscribed by definition. It is impossible however to conceive that there should be science of things which are not naturally the objects of science. Hence it is not probable that there will be a desire of science which has no subsistence, but rather that desire will be extended to things which are properly beings, which exist with invariable permanency, and are always consubsistent with a true appellation.
For it happens that the perception of things which are homonymously beings, and which are never truly what they seem to be, follows the apprehension of real beings; just as the knowledge of particulars follows the science of universals. For he who knows universals properly, says Archytas, will also have a clear perception of the nature of particulars. Hence things which have an existence are not alone, nor only-begotten, nor simple, but they are seen to be various and multiform. For some of them are intelligible and incorporeal natures, and which are denominated beings; but others are corporeal and fall under the perception of sense, and by participation communicate with that which has a real existence. Concerning all these therefore, he delivered the most appropriate sciences, and left nothing [pertaining to them] uninvestigated.
He likewise unfolded to men those sciences which are common [ to all disciplines ,] as for instance the demonstrative, the definitive, and that which consists in dividing, as may be known from the Pythagoric commentaries. He was also accustomed to pour forth sentences resembling Oracles to his familiars in a symbolical manner, and which in the greatest brevity of words contained the most abundant and multifarious meaning, like the Pythian Apollo through certain oracles, or like nature herself through seeds small in bulk, the former exhibiting conceptions, and the latter effects, innumerable in multitude, and difficult to be understood. Of this kind is the sentence, The beginning is the half of the whole , which is an apothegm of Pythagoras himself.
But not only in the present hemistich, but in others of a similar nature, the most divine Pythagoras has concealed the sparks of truth; depositing as in a treasury for those who are capable of being enkindled by them, and with a certain brevity of diction, an extension of theory most ample and difficult to be comprehended, as in the following hemistich:
The Intellectual-principle, the Ideas, and the Authentic Existence (11)
Now as to the arts and crafts and their productions: The imitative arts- painting, sculpture, dancing, pantomimic gesturing- are, largely,...
(11) Now as to the arts and crafts and their productions:
The imitative arts- painting, sculpture, dancing, pantomimic gesturing- are, largely, earth-based; on an earthly base; they follow models found in sense, since they copy forms and movements and reproduce seen symmetries; they cannot therefore be referred to that higher sphere except indirectly, through the Reason-Principle in humanity.
On the other hand any skill which, beginning with the observation of the symmetry of living things, grows to the symmetry of all life, will be a portion of the Power There which observes and meditates the symmetry reigning among all beings in the Intellectual Kosmos. Thus all music- since its thought is upon melody and rhythm- must be the earthly representation of the music there is in the rhythm of the Ideal Realm.
The crafts, such as building and carpentry which give us Matter in wrought forms, may be said, in that they draw on pattern, to take their principles from that realm and from the thinking There: but in that they bring these down into contact with the sense-order, they are not wholly in the Intellectual: they are founded in man. So agriculture, dealing with material growths: so medicine watching over physical health; so the art which aims at corporeal strength and well-being: power and well-being mean something else There, the fearlessness and self-sufficing quality of all that lives.
Oratory and generalship, administration and sovereignty- under any forms in which their activities are associated with Good and when they look to that- possess something derived thence and building up their knowledge from the knowledge There.
Geometry, the science of the Intellectual entities, holds place There: so, too, philosophy, whose high concern is Being.
For the arts and products of art, these observations may suffice.
"In the splendor of mental and spiritual illumination, the High Priest stood between the pillars as a mute witness to the perfect virtue of equilibriu...
(22) [paragraph continues] My House be established. "In the splendor of mental and spiritual illumination, the High Priest stood between the pillars as a mute witness to the perfect virtue of equilibrium--that hypothetical point equidistant from all extremes. He thus personified the divine nature of man in the midst of his compound constitution--the mysterious Pythagorean Monad in the presence of the Duad. On one side towered the stupendous column of the intellect; on the other, the brazen pillar of the flesh. Midway between these two stands the glorified wise man, but he cannot reach this high estate without first suffering upon the cross made by joining these pillars together. The early Jews occasionally represented the two pillars, Jachin and Boaz, as the legs of Jehovah, thereby signifying to the modern philosopher that Wisdom and Love, in their most exalted sense, support the whole order of creation--both mundane and supermundane.
It is the custom of bibliologists to divide the interior of the Tabernacle into two rooms: one room ten cubits wide, ten cubits high, and twenty...
(19) It is the custom of bibliologists to divide the interior of the Tabernacle into two rooms: one room ten cubits wide, ten cubits high, and twenty cubits long, which was called the Holy Place and contained three special articles of furniture, namely, the Seven-Branched Candlestick, the Table of the Shewbread, and the Altar of Burnt Incense; the other room ten cubits wide, ten cubits high, and ten cubits long, which was called the Holy of Holies and contained but one article of furniture--the Ark of the Covenant. The two rooms were separated from each other by an ornamental veil upon which were embroidered many kinds of flowers, but no animal or human figures.
[Trismegistus] ’Tis in this way, Asclepius;—by mixing it, by means of subtle expositions, with divers sciences not easy to be grasped,—such as...
(1) [Trismegistus] ’Tis in this way, Asclepius;—by mixing it, by means of subtle expositions, with divers sciences not easy to be grasped,—such as arithmetic, and music, and geometry. But Pure Philosophy, which doth depend on godly piety alone, should only so far occupy itself with other arts, that it may [know how to] appreciate the working out in numbers of the fore-appointed stations of the stars when they return, and of the course of their procession. Let her, moreover, know how to appreciate the Earth’s dimensions, its qualities and quantities, the Water’s depths, the strength of Fire, and the effects and nature of all these. [And so] let her give worship and give praise unto the Art and Mind of God.