(4) But this science, this Dialectic essential to all the three classes alike, what, in sum, is it?

It is the Method, or Discipline, that brings with it the power of pronouncing with final truth upon the nature and relation of things- what each is, how it differs from others, what common quality all have, to what Kind each belongs and in what rank each stands in its Kind and whether its Being is Real-Being, and how many Beings there are, and how many non-Beings to be distinguished from Beings.

Dialectic treats also of the Good and the not-Good, and of the particulars that fall under each, and of what is the Eternal and what the not Eternal- and of these, it must be understood, not by seeming-knowledge but with authentic science.

All this accomplished, it gives up its touring of the realm of sense and settles down in the Intellectual Kosmos and there plies its own peculiar Act: it has abandoned all the realm of deceit and falsity, and pastures the Soul in the "Meadows of Truth": it employs the Platonic division to the discernment of the Ideal-Forms, of the Authentic-Existence and of the First-Kinds : it establishes, in the light of Intellection, the unity there is in all that issues from these Firsts, until it has traversed the entire Intellectual Realm: then, resolving the unity into the particulars once more, it returns to the point from which it starts.

Now rests: instructed and satisfied as to the Being in that sphere, it is no longer busy about many things: it has arrived at Unity and it contemplates: it leaves to another science all that coil of premisses and conclusions called the art of reasoning, much as it leaves the art of writing: some of the matter of logic, no doubt, it considers necessary- to clear the ground- but it makes itself the judge, here as in everything else; where it sees use, it uses; anything it finds superfluous, it leaves to whatever department of learning or practice may turn that matter to account.

(1) If, however, it be necessary, dismissing these particulars, to speak what appears to me to be the truth, you do not rightly infer “ that a knowledge of this mathematical science cannot be obtained, because there is much dissonance concerning it, or because Chæremon, or some other, has written against it .” For if this reason were admitted, all things will be incomprehensible. For all sciences have ten thousand controvertists, and the doubts with which they are attended are innumerable. As, therefore, we are accustomed to say in opposition to the contentious, that contraries in things that are true are naturally discordant, and that it is not falsities alone that are hostile to each other; thus, also, we say respecting this mathematical science, that it is indeed true; but that those who wander from the scope of it, being ignorant of the truth, contradict it. This, however happens not in this science alone, but likewise in all the sciences, which are imparted by the Gods to men.

(4) For some they have borrowed, and others they have misunderstood. And in the case of others, what they have spoken, in consequence of being moved, they have not yet perfectly worked out; and others by human conjecture and reasoning, in which also they stumble. And they think that they have hit the truth perfectly; but as we understand them, only partially. They know, then, nothing more than this world. And it is just like geometry, which treats of measures and magnitudes and forms, by delineation on plane-surfaces; and just as painting appears to take in the whole field of view in the scenes represented. But it gives a false description of the view, according to the rules of the art, employing the signs that result from the incidents of the lines of vision. By this means, the higher and lower points in the view, and those between, are preserved; and some objects seem to appear in the foreground, and others in the background, and others to appear in some other way, on the smooth and level surface. So also the philosophers copy the truth, after the manner of painting. And always in the case of each one of them, their self-love is the cause of all their mistakes.

(2) In the first place, therefore, we shall divide the genera of the proposed problems, in order that we may know the quantity and quality of them. And, in the next place, we shall show from what theologies the doubts are assumed, and according to what sciences they are investigated. For some things that are badly confused, require a certain distinction; others are conversant with the cause through which they subsist, and are apprehended; others, which we propose according to a certain contrariety, draw our decision on both sides; and some things require from us the whole development of mystic doctrines. Such, therefore, being the nature of the subjects of discussion, they are assumed from many places, and from different sciences. For some things introduce animadversions from what the wise men of the Chaldeans have delivered; others produce objections from what the prophets of the Egyptians teach; and there are some that, adhering to the theory of philosophers, make inquiries conformably to them. There are now likewise some, that from other opinions, which do not deserve to be mentioned, elicite a certain dubitation; and others originate from the common conceptions of mankind. These things, therefore, are of themselves variously disposed, and are multiformly connected with each other. Hence, through all these causes, a certain discussion is requisite for the management of them in a becoming manner.

(22) Having then moulded, as it were, a statue of the Gnostic, we have now shown who he is; indicating in outline, as it were, both the greatness and beauty of his character. What he is as to the study of physical phenomena shall be shown afterwards, when we begin to treat of the creation of the world.

(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.

(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.

(5) In short, whether you think that there is one genus of the Gods, one of dæmons, and in a similar manner of heroes, and souls essentially incorporeal; or whether you admit that these are severally many, you inquire what the difference of them is according to peculiarities. For if you apprehend that each of these is one [and the same genus] the whole arrangement of scientific theology is confounded. But if, as truth requires, you admit that they are genetically distinguished, and that there is not in them one common essential definition, but that those of them which are prior, are exempt from those that are inferior, it is not possible to discover their common boundaries. And even if this were possible, this very thing would destroy their peculiarities. In this way, therefore, the object of investigation cannot be found. He, however, he who directs his attention to the analogous sameness which exists in superior natures, as, for instance, in the many genera of the Gods, and again in dæmons and heroes, and, in the last place, in souls, will be able to define their peculiarities. Hence through this, it is demonstrated by us what the rectitude is of the present inquiry, and what its [accurate] distinction, and also in what manner it is impossible, and in what manner it is possible, for it to subsist.

(5) This discussion of Nature has shown us how the origin of things is a Contemplation: we may now take the matter up to the higher Soul; we find that the Contemplation pursued by this, its instinct towards knowing and enquiring, the birth pangs set up by the knowledge it attains, its teeming fullness, have caused it- in itself, all one object of Vision- to produce another Vision : it is just as a given science, complete in itself, becomes the source and cause of what might be called a minor science in the student who attains to some partial knowledge of all its divisions. But the visible objects and the objects of intellectual contemplation of this later creation are dim and helpless by the side of the content of the Soul.

The primal phase of the Soul- inhabitant of the Supreme and, by its participation in the Supreme, filled and illuminated- remains unchangeably There; but in virtue of that first participation, that of the primal participant, a secondary phase also participates in the Supreme, and this secondary goes forth ceaselessly as Life streaming from Life; for energy runs through the Universe and there is no extremity at which it dwindles out. But, travel as far as it may, it never draws that first part of itself from the place whence the outgoing began: if it did, it would no longer be everywhere it would be present at the end, only, of its course.

None the less that which goes forth cannot be equal to that which remains.

In sum, then:

The Soul is to extend throughout the Universe, no spot void of its energy: but, a prior is always different from its secondary, and energy is a secondary, rising as it must from contemplation or act; act, however, is not at this stage existent since it depends upon contemplation: therefore the Soul, while its phases differ, must, in all of them, remain a contemplation and what seems to be an act done under contemplation must be in reality that weakened contemplation of which we have spoken: the engendered must respect the Kind, but in weaker form, dwindled in the descent.

All goes softly since nothing here demands the parade of thought or act upon external things: it is a Soul in vision and, by this vision, creating its own subsequent- this Principle , itself also contemplative but in the feebler degree since it lies further away and cannot reproduce the quality or experiences of its prior- a Vision creates the Vision.

for no limit exists either to contemplation or to its possible objects, and this explains how the Soul is universal: where can this thing fail to be, which is one identical thing in every Soul; Vision is not cabined within the bournes of magnitude.

This, of course, does not mean that the Soul is present at the same strength in each and every place and thing- any more than that it is at the same strength in each of its own phases.

The Charioteer gives the two horses what he has seen and they, taking that gift, showed that they were hungry for what made that vision; there was something lacking to them: if in their desire they acted, their action aimed at what they craved for- and that was vision, and an object of vision.

(2) But indications of this theory worthy of notice may be mentioned, by which it is possible for you, and those who resemble you, to be conducted by intellect to the essence of [real] beings. And with respect to such things as become known by a reasoning process, we shall leave no one of these without a perfect demonstration. But in all things we shall give to each that which is appropriate. And such questions, indeed, as are theological, we shall answer theologically; such as are theurgic, theurgically; but such as are philosophical, we shall, in conjunction with you, philosophically explore. Of these, also, such as extend to first causes, we shall unfold into light, by following them conformably to first principles. But such as pertain to morals, or to ends, we shall fitly discuss, according to the ethical mode. And, in a similar manner, we shall examine other things methodically and appropriately. Let us, therefore, now betake ourselves to your inquiries.

(65) "In the final, the positive state, the mind has given over the vain search after Absolute notions, the origin and destination of the universe, and the causes of phenomena, and applies itself to the study of their laws,--that is, their invariable relations of succession and resemblance. Reasoning and observation, duly combined, are the means of this knowledge." Comte's theory is described as an "enormous system of materialism." According to Comte, it was formerly said that the heavens declare the glory of God, but now they only recount the glory of Newton and Laplace.

(2) He, then, who imitates opinion shows also preconception. When then one, having got an inkling of the subject, kindles it within in his soul by desire and study, he sets everything in motion afterwards in order to know it. For that which one does not apprehend, neither does he desire it, nor does he embrace the advantage flowing from it. Subsequently, therefore, the Gnostic at last imitates the Lord, as far as allowed to men, having received a sort of quality akin to the Lord Himself, in order to assimilation to God. But those who are not proficient in knowledge cannot judge the truth by rule. It is not therefore possible to share in the gnostic contemplations, unless we empty ourselves of our previous notions. For the truth in regard to every object of intellect and of sense is thus simply universally declared. For instance, we may distinguish the truth of painting from that which is vulgar, and decorous music from licentious. There is, then, also a truth of philosophy as distinct from the other philosophies, and a true beauty as distinct from the spurious. It is not then the partial truths, of which truth is predicated, but the truth itself, that we are to investigate, not seeking to learn names. For what is to be investigated respecting God is not one thing, but ten thousand. There is a difference between declaring God, and declaring things about God. And to speak generally, in everything the accidents are to be distinguished from the essence.

(2) Now the reasoning faculty which undertakes this problem is not a unity but a thing of parts; it brings the bodily nature into the enquiry, borrowing its principles from the corporeal: thus it thinks of the Essential Existence as corporeal and as a thing of parts; it baulks at the unity because it does not start from the appropriate principles. We, however, must be careful to bring the appropriately convincing principles to the discussion of the Unity, of perfect Being: we must hold to the Intellectual principles which alone apply to the Intellectual Order and to Real Being.

On the one hand there is the unstable, exposed to all sorts of change, distributed in place, not so much Being as Becoming: on the other, there is that which exists eternally, not divided, subject to no change of state, neither coming into being nor falling from it, set in no region or place or support, emerging from nowhere, entering into nothing, fast within itself.

In dealing with that lower order we would reason from its own nature and the characteristics it exhibits; thus, on a plausible foundation, we achieve plausible results by a plausible system of deduction: similarly, in dealing with the Intellectual, the only way is to grasp the nature of the essence concerned and so lay the sure foundations of the argument, not forgetfully straying over into that other order but basing our treatment on what is essential to the Nature with which we deal.

In every entity the essential nature is the governing principle and, as we are told, a sound definition brings to light many even of the concomitants: where the essential nature is the entire being, we must be all the more careful to keep to that, to look to that, to refer all to that.

(5) All that comes to be, work of nature or of craft, some wisdom has made: everywhere a wisdom presides at a making.

No doubt the wisdom of the artist may be the guide of the work; it is sufficient explanation of the wisdom exhibited in the arts; but the artist himself goes back, after all, to that wisdom in Nature which is embodied in himself; and this is not a wisdom built up of theorems but one totality, not a wisdom consisting of manifold detail co-ordinated into a unity but rather a unity working out into detail.

Now, if we could think of this as the primal wisdom, we need look no further, since, at that, we have discovered a principle which is neither a derivative nor a "stranger in something strange to it." But if we are told that, while this Reason-Principle is in Nature, yet Nature itself is its source, we ask how Nature came to possess it; and, if Nature derived it from some other source, we ask what that other source may be; if, on the contrary, the principle is self-sprung, we need look no further: but if we are referred to the Intellectual-Principle we must make clear whether the Intellectual-Principle engendered the wisdom: if we learn that it did, we ask whence: if from itself, then inevitably, it is itself Wisdom.

The true Wisdom, then is Real Being; and Real Being is Wisdom; it is wisdom that gives value to Real Being; and Being is Real in virtue of its origin in wisdom. It follows that all forms of existence not possessing wisdom are, indeed, Beings in right of the wisdom which went to their forming but, as not in themselves possessing it, are not Real Beings.

We cannot therefore think that the divine Beings of that sphere, or the other supremely blessed There, need look to our apparatus of science: all of that realm, all is noble image, such images as we may conceive to lie within the soul of the wise- but There not as inscription but as authentic existence. The ancients had this in mind when they declared the Ideas to be Beings, Essentials.

(1) For every question is solved from pre-existing knowledge. And the knowledge pre-existing of each object of investigation is sometimes merely of the essence, while its functions are unknown (as of stones, and plants, and animals, of whose operations we are ignorant), or [the knowledge] of the properties, or powers, or (so to speak) of the qualities inherent in the objects. And sometimes we may know some one or more of those powers or properties, - as, for example, the desires and affections of the soul, - and be ignorant of the essence, and make it the object of investigation. But in many instances, our understanding having assumed all these, the question is, in which of the essences do they thus inhere; for it is after forming conceptions of both - that is, both of essence and operation - in our mind, that we proceed to the question. And there are also some objects, whose operations, along with their essences, we know, but are ignorant of their modifications.

(17) After discovering the operation of certain principles in one thing we may safely reason by analogy based upon the assumption that these principles exist in other things on a higher plane, and thus discover the nature of the unknown " x ." Thus the occultist reasons that there is Law and Order manifest on every plane of being; that there is a Principle of Vibration manifest on every plane of being; that there is a Principle of Rhythm manifest on every plane of being; that there is a Principle of Cycles manifest on every plane of being; that there is a Principle of Polarity manifest on every plane of being; that there is a Principle of Sex manifest on every plane of being. And the further that human investigation is pushed into the Unknown, the greater is the proof of the existence of these Cosmic Principles reasoned out by the ancient occultists upon the fundamental basis of the Principle of Correspondence.

(6) The theorems of philosophy are to be enjoyed as much as possible, as if they were ambrosia and nectar . For the pleasure arising from them is genuine, incorruptible, and divine. They are also capable of producing magnanimity; and though they cannot make us eternal beings, yet they enable us to obtain a scientific knowledge of eternal natures.

(7) 5. “Whoever, therefore, is able to analyze all the genera which are contained under one and the same principle, and again to compose and con-numerate them, he appears to me to be the wisest of men, and to possess the most perfect veracity. Farther still, he will also have discovered a beautiful place of survey, from which it will be possible to behold divinity, and all things that are in co-ordination with, and successive to him, subsisting separately, or distinct from each other. Having likewise entered this most ample road, being impelled in a right direction by intellect, and having arrived at the end of his course, he will have conjoined beginnings with ends, and will know that God is the principle, middle, and end, of all things which are accomplished according to justice and right reason.”

(5) As a manifold, then, this God, the Intellectual-Principle, exists within the Soul here, the Soul which once for all stands linked a member of the divine, unless by a deliberate apostasy.

Bringing itself close to the divine Intellect, becoming, as it were, one with this, it seeks still further: What Being, now, has engendered this God, what is the Simplex preceding this multiple; what the cause at once of its existence and of its existing as a manifold; what the source of this Number, this Quantity?

Number, Quantity, is not primal: obviously before even duality, there must stand the unity.

The Dyad is a secondary; deriving from unity, it finds in unity the determinant needed by its native indetermination: once there is any determination, there is Number, in the sense, of course, of the real Number. And the soul is such a number or quantity. For the Primals are not masses or magnitudes; all of that gross order is later, real only to the sense-thought; even in seed the effective reality is not the moist substance but the unseen- that is to say Number and the Reason-Principle .

Thus by what we call the Number and the Dyad of that higher realm, we mean Reason Principles and the Intellectual-Principle: but while the Dyad is, as regards that sphere, undetermined- representing, as it were, the underly of The One- the later Number - that which rises from the Dyad and The One- is not Matter to the later existents but is their forming-Idea, for all of them take shape, so to speak, from the ideas rising within this. The determination of the Dyad is brought about partly from its object- The One- and partly from itself, as is the case with all vision in the act of sight: intellection is vision occupied upon The One.

(7) Now we know that neither things which are clear are made subjects of investigation, such as if it is day, while it is day; nor things unknown, and never destined to become clear, as whether the stars are even or odd in number; nor things convertible; and those are so which can be said equally by those who take the opposite side, as if what is in the womb is a living creature or not. A fourth mode is, when, from either side of those, there is advanced an unanswerable and irrefragable argument. If, then, the ground of inquiry, according to all of these modes, is removed, faith is established. For we advance to them the unanswerable consideration, that it is God who speaks and comes to our help in writing, respecting each one of the points regarding which I investigate. Who, then, is so impious as to disbelieve God, and to demand proofs from God as from men? Again, some questions demand the evidence of the senses, as if one were to ask whether the fire be warm, or the snow white; and some admonition and rebuke, as the question if you ought to honour your parents.