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On the Mysteries
IX, Chapter III (2)
And who would [willingly] receive this dæmon as his leader to a liberation from fate, if he was given to him for this purpose, that he might accomplish the distributions of fate? Farther still, this appears to me to be only a certain and the last part of the theory pertaining to this dæmon; and that the whole theory of his essence is omitted by a method of this kind. But these things, indeed, though they are falsely asserted, yet at the same time are not utterly foreign from the purpose. The doubts, however, adduced by you in the next place, concerning “ the enumeration of the canons and the genethlialogical science ,” as they are inscrutable, are not attended with any ambiguity in the present discussion. For whether these arts are known or are incomprehensible, yet, at the same time, the efflux from the stars distributes to us the dæmon, whether we know it or not. But divine divination is able to teach us concerning the stars, in a way which is most true, and [when we are in possession of this] we are not entirely in want of the enumeration of canons, or of the divining art.
Allow the kosmic circuit its part, a very powerful influence upon the thing brought into being: allow the stars a wide material action upon the bodily...
(6) But in fact everything follows its own Kind; the birth is a horse because it comes from the Horse Kind, a man by springing from the Human Kind; offspring answers to species. Allow the kosmic circuit its part, a very powerful influence upon the thing brought into being: allow the stars a wide material action upon the bodily part of the man, producing heat and cold and their natural resultants in the physical constitution; still does such action explain character, vocation and especially all that seems quite independent of material elements, a man taking to letters, to geometry, to gambling, and becoming an originator in any of these pursuits? And can we imagine the stars, divine beings, bestowing wickedness? And what of a doctrine that makes them wreak vengeance, as for a wrong, because they are in their decline or are being carried to a position beneath the earth- as if a decline from our point of view brought any change to themselves, as if they ever ceased to traverse the heavenly spheres and to make the same figure around the earth.
Nor may we think that these divine beings lose or gain in goodness as they see this one or another of the company in various aspects, and that in their happier position they are benignant to us and, less pleasantly situated, turn maleficent. We can but believe that their circuit is for the protection of the entirety of things while they furnish the incidental service of being letters on which the augur, acquainted with that alphabet, may look and read the future from their pattern- arriving at the thing signified by such analogies as that a soaring bird tells of some lofty event.
Chapter 27 (They no more have the power of devouring their matter)
"It came to pass then, when the rulers of the æons and those of the Fate and those of the sphere continued to carry out this type,--turning on...
(3) "It came to pass then, when the rulers of the æons and those of the Fate and those of the sphere continued to carry out this type,--turning on themselves, devouring the refuse of their matter, and not allowing souls to be born into the world of mankind, in order that they might delay in being rulers, and that the powers which are in their powers, that is the souls, might spend a long time here outside,--they then persisted doing this continually for two circles. "It came to pass then, when I wished to ascend for the ministry for the sake of which I was called by command of the First Mystery, that I came up into the midst of the tyrants of the rulers of the twelve æons, with my light-vesture about me, shining most exceedingly, and there was no measure for the light which was about me. facing to the right. I have changed their whole path and their whole course, and I have made the path of their course to hurry, so that they may be quickly purified and raised up quickly. And I have shortened their circles, and made their path more speedy, and it will be exceedingly hurried. And they were thrown into confusion in their path, and from then on were no more able to devour the matter of the refuse of the purification of their light. And moreover I have shortened their times and their periods, so that the perfect number of souls who shall receive the mysteries and be in the Treasury of the Light, shall be quickly completed. For had I not changed their courses, and had I not shortened their periods, they would not have let any soul come into the world, because of the matter of their refuse which they devoured, and they would have destroyed many souls. For this cause I said unto you aforetime: 'I have shortened the times because of my elect; otherwise no soul would have been able to be saved.' And I have shortened the times and the periods because of the perfect number of the souls who shall receive the mysteries, that is to say, the 'elect'; and had I not shortened their periods, no material soul would have been saved, but they would have perished in the fire which is in the flesh of the rulers. This then is the word on which thou dost question me with precision." It came to pass then, when Jesus had finished speaking these words unto his disciples, that they fell down all together, adored him and said to him: "Blessed are we before all men, for unto us thou hast revealed these great exploits."
For we are thus far conscious in ourselves, and know, that we may neither advance to understand sufficiently the intelligible of Divine things, nor to...
(3) But to pass over the mystical things there, both as forbidden to the multitude and as known to thee, when it was necessary to communicate to the multitude, and to bring as many as possible to the sacred knowledge amongst ourselves, he so excelled the majority of sacred teachers, both by use of time and purity of mind, and accuracy of demonstrations, and by his other sacred discourses, that we should scarcely have dared to look so great a sun straight in the face. For we are thus far conscious in ourselves, and know, that we may neither advance to understand sufficiently the intelligible of Divine things, nor to express and declare the things spoken of the divine knowledge. For, being far removed from the skill of those divine men, as regards theological truth, we are so inferior that we should have, through excessive reverence, entirely come to this--neither to hear nor to speak anything respecting divine philosophy, unless we had grasped in our mind, that we must not neglect the knowledge of things divine received by us. And to this we were persuaded, not only by the innate aspirations of the minds which always lovingly cling to the permitted contemplation of the supernatural, but also by the most excellent order itself of the Divine institutions, which prohibits us, on the one hand, from much inquisition into things above us, as above our degree, and as unattainable; yet, on the other hand, persistently urges us to graciously impart to others also whatever is permitted and given to us to learn. Yielding then to these considerations, and neither shirking nor flinching from the attainable discovery of things Divine, but also not bearing to leave unassisted those who are unable to contemplate things too high for us, we have brought ourselves to composition, not daring indeed to introduce anything new, but by more easy and more detailed expositions to disentangle and elucidate the things spoken by the Hierotheus indeed. Next: Caput IV. Sacred Texts | Christianity « Previous: The Works of Dionysius the Areopagite: On Divine Names: C... Index Next: The Works of Dionysius the Areopagite: On Divine Names: C... » Sacred Texts | Christianity
What explains the purposeful arrangement thus implied? Obviously, unless the particular is included under some general principle of order, there can b...
(7) But, if the stars announce the future- as we hold of many other things also- what explanation of the cause have we to offer? What explains the purposeful arrangement thus implied? Obviously, unless the particular is included under some general principle of order, there can be no signification.
We may think of the stars as letters perpetually being inscribed on the heavens or inscribed once for all and yet moving as they pursue the other tasks allotted to them: upon these main tasks will follow the quality of signifying, just as the one principle underlying any living unit enables us to reason from member to member, so that for example we may judge of character and even of perils and safeguards by indications in the eyes or in some other part of the body. If these parts of us are members of a whole, so are we: in different ways the one law applies.
All teems with symbol; the wise man is the man who in any one thing can read another, a process familiar to all of us in not a few examples of everyday experience.
But what is the comprehensive principle of co-ordination? Establish this and we have a reasonable basis for the divination, not only by stars but also by birds and other animals, from which we derive guidance in our varied concerns.
All things must be enchained; and the sympathy and correspondence obtaining in any one closely knit organism must exist, first, and most intensely, in the All. There must be one principle constituting this unit of many forms of life and enclosing the several members within the unity, while at the same time, precisely as in each thing of detail the parts too have each a definite function, so in the All each several member must have its own task- but more markedly so since in this case the parts are not merely members but themselves Alls, members of the loftier Kind.
Thus each entity takes its origin from one Principle and, therefore, while executing its own function, works in with every other member of that All from which its distinct task has by no means cut it off: each performs its act, each receives something from the others, every one at its own moment bringing its touch of sweet or bitter. And there is nothing undesigned, nothing of chance, in all the process: all is one scheme of differentiation, starting from the Firsts and working itself out in a continuous progression of Kinds.
DID that divine knowledge which constituted the supreme possession of the pagan priestcrafts survive the destruction of their temples? Is it yet...
(1) DID that divine knowledge which constituted the supreme possession of the pagan priestcrafts survive the destruction of their temples? Is it yet accessible to mankind, or does it lie buried beneath the rubbish of ages, entombed within the very sanctuaries that were once illuminated by its splendor? "In Egypt," writes Origen, "the philosophers have a sublime and secret knowledge respecting the nature of God. What did Julian imply when he spoke of the secret initiations into the sacred Mysteries of the Seven-Rayed God who lifted souls to salvation through His own nature? Who were the blessed theurgists who understood them profundities concerning which Julian dared not speak? If this inner doctrine were always concealed from the masses, for whom a simpler code had been devised, is it not highly probable that the exponents of every aspect of modern civilization--philosophic, ethical, religious, and scientific-are ignorant of the true meaning of the very theories and tenets on which their beliefs are founded? Do the arts and sciences that the race has inherited from older nations conceal beneath their fair exterior a mystery so great that only the most illumined intellect can grasp its import? Such is undoubtedly the case.
Chapter III: The Gnostic Aims At the Nearest Likeness Possible to God and His Son. (9)
Ruling, then, over himself and what belongs to him, and possessing a sure grasp, of divine science, he makes a genuine approach to the truth. For the...
(9) Ruling, then, over himself and what belongs to him, and possessing a sure grasp, of divine science, he makes a genuine approach to the truth. For the knowledge and apprehension of intellectual objects must necessarily be called certain scientific knowledge, whose function in reference to divine things is to consider what is the First Cause, and what that "by whom all things were made, and without whom nothing was made; " and what things, on the other hand, are as pervasive, and what is comprehensive; what conjoined, what disjoined; and what is the position which each one of them holds, and what power and what service each contributes. And again. among human things, what man himself is, and what he has naturally or preternaturally; and how, again, it becomes him to do or to suffer; and what are his virtues and what his vices; and about things good, bad, and indifferent; also about fortitude, and prudence, and self-restraint, and the virtue which is in all respects complete, namely, righteousness.
Chapter 22: Of the Birth or Geniture of the Stars, and Creation of the Fourth Day. (13)
But seeing men are gods, and have the knowledge of God the only Father, from whom they are proceeded or descended, and in whom they live, therefore I ...
(13) But seeing men are gods, and have the knowledge of God the only Father, from whom they are proceeded or descended, and in whom they live, therefore I despise not the canons, rules and formulae of their philosophy, astrology, and theology: For I find, that for the most part they [the philosophers, etc.] stand upon a right ground, and I will diligently endeavour to go according to their rules and formulae.
Chapter 11: Of all Circumstances of the Temptation. (2)
Now the Thrones and princely Angels, are every one of them a great Fountain; as you may perceive the Sun is, in Respect of the Stars,as also in the...
(2) Now the Thrones and princely Angels, are every one of them a great Fountain; as you may perceive the Sun is, in Respect of the Stars,as also in the blossoming Earth. The great Fountain- Vein [or Well-Spring] in the Source, was in the Time of the Fiat in the dark Mind, the Prince or Throne- Angel: There out of each Fountain came forth again a Center in many thousand Thousands; for the Spirit in the Fiat manifested itself in the Nature of the Darkness, after the Manner of the eternal Wisdom. Thus the manifold various Properties that were in the whole Nature, went forth out of one only Fountain, according to the Ability of the eternal Wisdom of God; or as I may best render it to be understood by a Similitude; as if one princely Angel had generated out of himself, at one Time, many Angels; whereas yet the Prince does not generate them, but the Essences; and the Qualities go forth with the Center in every Essence, from the princely Angels, and the Spirit created them a with the Fiat, and they continue standing essentially. Therefore every bHost (which proceeded out of one [and the same] Fountain) got a Will in the same Fountain, which was their Prince, (as you see how the Stars give all their Will into the Virtue [or Power] of the Sun;) of this, much must not be said to my Master in Arts, he holds it impossible to know such Things, and yet in God ail Things are possible, and to him a thousand Years are as one Day.
Chapter IX. We have a magic writing, copied from that divine alphabet with which God writes His will upon the face of celestial and terrestrial...
(16) Chapter IX. We have a magic writing, copied from that divine alphabet with which God writes His will upon the face of celestial and terrestrial Nature. With this new language we read God's will for all His creatures, and just as astronomers predict eclipses so we prognosticate the obscurations of the church and how long they shall last. Our language is like unto that of Adam and Enoch before the Fall, and though we understand and can explain our mysteries in this our sacred language, we cannot do so in Latin, a tongue contaminated by the confusion of Babylon.
Since it is usual with all men of sound understandings, to call on divinity, when entering on any philosophic discussion, it is certainly much more...
(1) Since it is usual with all men of sound understandings, to call on divinity, when entering on any philosophic discussion, it is certainly much more appropriate to do this in the consideration of that philosophy which justly receives its denomination from the divine Pythagoras. For as it derives its origin from the Gods, it cannot be apprehended without their inspiring aid. To which we may also add, that the beauty and magnitude of it so greatly surpasses human power, that it is impossible to survey it by a sudden view; but then alone can any one gradually collect some portion of this philosophy, when, the Gods being his leaders, he quietly approaches to it. On all these accounts, therefore, having invoked the Gods as our leaders, and converting both ourselves and our discussion to them, we shall acquiesce in whatever they may command us to do.
We shall not, however, make any apology for this sect having been neglected for a long time, nor for its being concealed by foreign disciplines, and certain arcane symbols, nor for having been obscured by false and spurious writings, nor for many other such-like difficulties by which it has been impeded. For the will of the Gods is sufficient for us, in conjunction with which it is possible to sustain things still more arduous than these. But after the Gods, we shall unite ourselves as to a leader, to the prince and father of this divine philosophy; of whose origin and country we must rise a little higher in our investigation.
Let us affirm, then, that the supremely Divine Blessedness, the essential Deity, the Source of deification, from Which comes the deification of those...
(4) Let us affirm, then, that the supremely Divine Blessedness, the essential Deity, the Source of deification, from Which comes the deification of those deified, bequeathed, by Divine Goodness, the Hierarchy, for preservation, and deification of all rational and intellectual Beings. And to the supermundane and blessed inheritances there is bequeathed something more immaterial and intellectual (for Almighty God does not move them to things divine, from without, but intelligibly, since they are illuminated as to the most Divine will from within, with brilliancy pure and immaterial), but to us--that which has been bequeathed to them, uniformly, and enveloped, is bequeathed from the Divinely transmitted Oracles, in a variety and multitude of divisible symbols, as we are able to receive it. For the Divinely transmitted Oracles are essence of our Hierarchy. And we affirm that these Oracles--all such as were given from our godly initiators in inspired Letters of the Word of God --are most august; and further, whatever our leaders have revealed to us from the same holy men, by a less material initiation, and already akin, as it were, to the Heavenly Hierarchy, from mind to mind, through the medium of speech, corporeal, indeed, but nevertheless more immaterial, without writing. Nor did the inspired Hierarchs transmit these things, in conceptions clear to the commonalty of worshippers, but in sacred symbols. For it is not every one that is hallowed; nor, as the Oracles affirm, does knowledge belong to all.
Now we have set forth in the Theological Outlines whatever Divine Causes we have found in the Oracles, of these unions, and distinctions, by treating...
(7) Now we have set forth in the Theological Outlines whatever Divine Causes we have found in the Oracles, of these unions, and distinctions, by treating each separately, according to our ability; by explaining some things, by the infallible Word, and unfolding them; and by conducting the religious and unpolluted mind to the bright visions of the Oracles; but others, as being full of mystery, by approaching them according to the Divine tradition, which is superior to mental energy. For all the Divine properties, even those revealed to us, are known by the participations alone; and themselves, such as they are in their own source and abode, are above mind and all essence and knowledge. For instance, if we have named the superessential Hiddenness, God, or Life, or Essence, or Light, or Word (λόγος), we have no other thought than that the powers brought to us from It are deifying, or essentiating, or life-bearing, or wisdom-imparting; but to Itself we approach during the cessation of all the intellectual energies, seeing no deification, or life, or essence whatever, such as is strictly like the Cause pre-eminently elevated above all. Again, that the Father is fontal Deity, but the Lord Jesus and the Spirit are, if one may so speak, God-planted shoots, and as it were Flowers and superessential Lights of the God-bearing Deity, we have received from the holy Oracles; but how these things are, it is neither possible to say, nor to conceive.
On completing, then, the whole of what we propose in the commentaries, on which, if the Spirit will, we ministering to the urgent need, (for it is...
(3) On completing, then, the whole of what we propose in the commentaries, on which, if the Spirit will, we ministering to the urgent need, (for it is exceedingly necessary, before coming to the truth, to embrace what ought to be said by way of preface), shall address ourselves to the true gnostic science of nature, receiving initiation into the minor mysteries before the greater; so that nothing may be in the way of the truly divine declaration of sacred things, the subjects requiring preliminary detail and statement being cleared away, and sketched beforehand. The science of nature, then, or rather observation, as contained in the gnostic tradition according to the rule of the truth, depends on the discussion concerning cosmogony, ascending thence to the department of theology. Whence, then, we shall begin our account of what is handed down, with the creation as related by the prophets, introducing also the tenets of the heterodox, and endeavouring as far as we can to confute them. But it shall be written if God will, and as He inspires; and now we must proceed to what we proposed, and complete the discourse on ethics.
Hence one is Solon born, another Xerxes, Another Melchisedec, and another he Who, flying through the air, his son did lose. Revolving Nature, which a ...
(6) So came he with deductions to this point; Then he concluded: "Therefore it behoves The roots of your effects to be diverse. Hence one is Solon born, another Xerxes, Another Melchisedec, and another he Who, flying through the air, his son did lose. Revolving Nature, which a signet is To mortal wax, doth practise well her art, But not one inn distinguish from another; Thence happens it that Esau differeth In seed from Jacob; and Quirinus comes From sire so vile that he is given to Mars. A generated nature its own way Would always make like its progenitors, If Providence divine were not triumphant.
The Letters, Letter IX: To Titus, Hierarch, asking by letter what is the house of wisdom, what the bowl, and what are its meats and drinks? (6)
And, when we have said, that the superiority of Almighty God, and His incommunicability with the objects of His Providence is a Divine sleep, and that...
(6) But, I well know you will further ask that the propitious sleep of Almighty God, and His awakening, should be explained. And, when we have said, that the superiority of Almighty God, and His incommunicability with the objects of His Providence is a Divine sleep, and that the attention to His Providential cares of those who need His discipline, or His preservation, is an awakening, you will pass to other symbols of the Word of God. Wherefore, thinking it superfluous that by running through the same things to the same. persons, we should seem to say different things, and, at the same time, conscious that you assent to things that are good, we finish this letter at what we have said, having set forth, as I think, more than the things solicited in your letters. Further, we send the whole of our Symbolical Theology, within which you will find, together with the house of wisdom, also the seven pillars investigated, and its solid food divided into sacrifices and breads. And what is the mingling of the wine; and again, What is the sickness arising from the inebriety of Almighty God? and in fact, the things now spoken of are explained in it more explicitly. And it is, in my judgment, a correct enquiry into all the symbols of the Word of God, and agreeable to the sacred traditions and truths of the Oracles.
We have declared acts of memory unnecessary to the stars, but we allow them perceptions, hearing as well as seeing; for we said that prayers to them...
(30) We have declared acts of memory unnecessary to the stars, but we allow them perceptions, hearing as well as seeing; for we said that prayers to them were heard- our supplications to the sun, and those, even, of certain other men to the stars. It has moreover been the belief that in answer to prayer they accomplish many human wishes, and this so lightheartedly that they become not merely helpers towards good but even accomplices in evil. Since this matter lies in our way, it must be considered, for it carries with it grave difficulties that very much trouble those who cannot think of divine beings as, thus, authors or auxiliaries in unseemliness even including the connections of loose carnality.
In view of all this it is especially necessary to study the question with which we began, that of memory in the heavenly bodies.
It is obvious that, if they act on our prayers and if this action is not immediate, but with delay and after long periods of time, they remember the prayers men address to them. This is something that our former argument did not concede; though it appeared plausible that, for their better service of mankind, they might have been endowed with such a memory as we ascribed to Demeter and Hestia- or to the latter alone if only the earth is to be thought of as beneficent to man.
We have, then, to attempt to show: firstly, how acts implying memory in the heavenly bodies are to be reconciled with our system as distinguished from those others which allow them memory as a matter of course; secondly, what vindication of those gods of the heavenly spheres is possible in the matter of seemingly anomalous acts- a question which philosophy cannot ignore- then too, since the charge goes so far, we must ask whether credence is to be given to those who hold that the entire heavenly system can be put under spell by man's skill and audacity: our discussion will also deal with the spirit-beings and how they may be thought to minister to these ends- unless indeed the part played by the Celestials prove to be settled by the decision upon the first questions.
Now then, O Blessed One, after the Theological Outlines, I will pass to the interpretation of the Divine Names, as best I can. But, let the rule of...
(1) Now then, O Blessed One, after the Theological Outlines, I will pass to the interpretation of the Divine Names, as best I can. But, let the rule of the Oracles be here also prescribed for us, viz., that we shall establish the truth of the things spoken concerning God, not in the persuasive words of man's wisdom, but in demonstration of the Spirit-moved power of the Theologians, by aid of which we are brought into contact with things unutterable and unknown, in a manner unutterable and unknown, in proportion to the superior union of the reasoning and intuitive faculty and operation within us. By no means then is it permitted to speak, or even to think, anything, concerning the superessential and hidden Deity, beyond those things divinely revealed to us in the sacred Oracles. For Agnosia, (supra-knowledge) of its superessentiality above reason and mind and essence--to, it must we attribute the superessential science, so far aspiring to the Highest, as the ray of the supremely Divine Oracles imparts itself, whilst we restrain ourselves in our approach to the higher glories by prudence and piety as regards things Divine. For, if we must place any confidence in the All Wise and most trustworthy Theology, things Divine are revealed and contemplated in proportion to the capacity of each of the minds, since the supremely Divine Goodness distributes Divinely its immeasurableness (as that which cannot be contained) with a justice which preserves those whose capacity is limited. For, as things intelligible cannot be comprehended and contemplated by things of sense, and things uncompounded and unformed by things compounded and formed; and the intangible and unshaped formlessness of things without body, by those formed according to the shapes of bodies; in accordance with the self-same analogy of the truth, the superessential Illimitability is placed above things essential, and the Unity above mind above the Minds; and the One above conception is inconceivable to all conceptions; and the Good above word is unutterable by word--Unit making one every unit, and superessential essence and mind inconceivable, and Word unutterable, speechlessness and inconception, and namelessness--being after the manner of no existing being, and Cause of being to all, but Itself not being, as beyond every essence, and as It may manifest Itself properly and scientifically concerning Itself.
"And the five great rulers of the great Fate of the æons and the ruler of the disk of the sun and the ruler of the disk of the moon inbreathe within...
(4) "And the five great rulers of the great Fate of the æons and the ruler of the disk of the sun and the ruler of the disk of the moon inbreathe within into that soul, and there cometh forth out of them a portion out of my power which the last Helper hath cast into the Mixture. And the portion of that power remaineth within in the soul, unloosed and existing on its own authority for the economy unto which it hath been inset, to give sense unto the soul, in order that it may seek after the works of the Light of the Height always. "And that power is like the species of the soul in every form and resembleth it. It cannot be outside the soul, but remaineth inside it, as I have commanded it from the beginning. When I willed to cast it into the first Commandment, I gave it commandment to remain outside [? inside] the souls for the economy of the First Mystery.
In the final analysis, true philosophy can be limited by neither creed nor faction; in fact it is incompatible with every artificial limitation of...
(8) In the final analysis, true philosophy can be limited by neither creed nor faction; in fact it is incompatible with every artificial limitation of human thought. The question of the pagan or Christian origin of the Book of Revelation is, consequently, of little importance. The intrinsic value of the book lies in its magnificent epitome of the Universal Mystery--an observation which led St. Jerome to declare that it is susceptible of seven entirely different interpretations. Untrained in the reaches of ancient thought, the modem theologian cannot possibly cope with the complexities of the Apocalypse, for to him this mystic writing is but a phantasmagoria the divine inspiration of which he is sorely tempted to question. In the limited space here available it is possible to sketch but briefly a few of the salient features of the vision of the seer of Patmos. A careful consideration of the various pagan Mysteries will assist materially also in filling the inevitable gaps in this abridgment.
I acknowledge, he said, the justice of your rebuke. Still, I should like to ascertain how astronomy can be learned in any manner more conducive to tha...
(529) nothing of that sort is matter of science; his soul is looking downwards, not upwards, whether his way to knowledge is by water or by land, whether he floats, or only lies on his back. I acknowledge, he said, the justice of your rebuke. Still, I should like to ascertain how astronomy can be learned in any manner more conducive to that knowledge of which we are speaking? I will tell you, I said: The starry heaven which we behold is wrought upon a visible ground, and therefore, although the fairest and most perfect of visible things, must necessarily be deemed inferior far to the true motions of absolute swiftness and absolute slowness, which are relative to each other, and carry with them that which is contained in them, in the true number and in every true figure. Now, these are to be apprehended by reason and intelligence, but not by sight. True, he replied. The spangled heavens should be used as a pattern and with a view to that higher knowledge; their beauty is like the beauty of figures or pictures excellently wrought by the hand of Daedalus, or some other great artist, which we may chance to behold; any geometrician who saw them would appreciate the exquisiteness of their workmanship, but he would never dream of thinking that in them he could find the true equal or the true double, or the truth of any