(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.

(42) In case the opposite of a thing is not known to us, because it has not as yet been discovered by or made known to us, nevertheless in such case we are fully justified in ascribing to the unknown opposite the qualities and characteristics diametrically opposed to the known opposite. The rule is this: "Whatever is affirmed of one of a pair of opposites must be denied to the other"; and " whatever is denied to the one, must be affirmed of the other." So true and infallible is this rule that it may be applied and employed as the basis of logical reasoning from the known to the unknown, for the purpose of discovering the latter.

(4) All such doubts as these, however, which are adduced foreign to the purpose, and tend from contraries to contraries, we do not consider as pertinent to the present hypothesis. Hence, as we have shown the unappropriateness of them, we do not think it requisite to discuss them any further, because they are contentiously introduced, and not with philosophical investigation.

(1) These same are what is known, what is to be known, and what is unknown. Whatever is known is a form of Speech, for Speech is known. Speech, having become this, helps him [L e. man].

(533) Dear Glaucon, I said, you will not be able to follow me here, though I would do my best, and you should behold not an image only but the absolute truth, according to my notion. Whether what I told you would or would not have been a reality I cannot venture to say; but you would have seen something like reality; of that I am confident. Doubtless, he replied. But I must also remind you, that the power of dialectic alone can reveal this, and only to one who is a disciple of the previous sciences. Of that assertion you may be as confident as of the last. And assuredly no one will argue that there is any other method of comprehending by any regular process all true existence or of ascertaining what each thing is in its own nature; for the arts in general are concerned with the desires or opinions of men, or are cultivated with a view to production and construction, or for the preservation of such productions and constructions; and as to the mathematical sciences which, as we were saying, have some apprehension of true being—geometry and the like—they only dream about being, but never can they behold the waking reality so long as they leave the hypotheses which they use unexamined, and are unable to give an account of them. For when a man knows not his own first principle, and when the conclusion and intermediate steps are also constructed out of he knows not what, how can he imagine that such a fabric of convention can ever become science? Impossible, he said. Then dialectic, and dialectic alone, goes directly to the first principle and is the only science which does away with hypotheses in order to make her ground secure; the eye of

(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.

(7) Knowing which there shall not be any other to be known in this world, that Knowledge combined with experience, I will tell you.

(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.

(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.

(95) This I set down here only for a manuduction; you will find it demonstrated more at large concerning the creation of this world.

(103) Of which much were to be written, but [in the present book] you will find it more apprehensibly at the place concerning the creation: For there are to be found living testimonies enough, so that none need doubt whether the things be so or no.

(6) This uncertainty shared by all true students of the subject proves conclusively that it is unwise to make definite statements founded on the indefinite and fragmentary information available concerning the Pythagorean system of mathematical philosophy. The material which follows represents an effort to collect a few salient points from the scattered records preserved by disciples of Pythagoras and others who have since contacted his philosophy.

(41) Whenever we see a phenomenal quality, property or characteristic, a state or a condition, we are fully justified in assuming the existence of an opposite to it, which opposite thing will be found to act in the opposite and contrasted direction to it. This is an infallible and invariable rule of phenomenal existence.

(7) But this much is enough, since it is impossible for anyone to dispute the nature of the words I have just spoken about the blessed, imperishable, true God. Now, if anyone wants to believe the words set down (here), let him go from what is hidden to the end of what is visible, and this Thought will instruct him how faith in those things that are not visible was found in what is visible. This is a principle of knowledge.

(13) So, the student of Hermetics need not lay aside any of his cherished scientific views regarding the Universe. All he is asked to do is to grasp the underlying principle of "THE ALL is Mind; the Universe is Mental--held in the mind of THE ALL." He will find that the other six of the Seven Principles will "fit into" his scientific knowledge, and will serve to bring out obscure points and to throw light in dark corners. This is not to be wondered at, when we realize the influence of the Hermetic thought of the early philosophers of Greece, upon whose foundations of thought the theories of modern science largely rest. The acceptance of the First Hermetic Principle (Mentalism) is the only great point of difference between Modern Science and Hermetic students, and Science is gradually moving toward the Hermetic position in its groping in the dark for a way out of the Labyrinth into which it has wandered in its search for Reality.

(3) If some one, however, dismissing primordial causes, should refer divination to secondary offices, such as the motions of bodies, or the mutations of passions, or certain other motions, or the energies of human life, or animal or physical reasons, and should think that in so doing he asserts something manifest; or if, considering the symmetries of these with reference to each other, as causes, he should apprehend that he can assign something accurate concerning divination, he wholly deviates from the truth. But the one right boundary, and the one principle of all these particulars, is by no means to produce without a cause the foreknowledge of futurity, from things which have no prescience in themselves, but to survey from the Gods who contain in themselves the terminations of all the knowledge of beings, divination distributed about the whole world, and about all the natures that are separately contained in it. For such a cause as this is primordial, and is especially most common, containing in itself primarily those things which it gives to its participants, and particularly imparting truth, of which divination is in want; and antecedently comprehending the essence and cause of future events, from which foreknowledge necessarily and incessantly proceeds. Let such a principle as this, therefore, be the origin in common of all divination, from which it is possible to discover scientifically all the species of it; which we shall now unfold, conformably to the questions proposed by you.

(5) 'Great householders and great theologians of olden times who knew this, have declared the same, saying, "No one can henceforth mention to us anything which we have not heard, perceived, or known ." Out of these (three colours or forms) they knew all.

(19) Without going deeply into the matter of the application of this particular Cosmic Principle, we may say that one of the fundamental facts of being discovered by the ancient occultists by the application of the said principle is this: That in every thing there is to be found (1) Substance, or Body; (2) Motion or Active Energy; and (3) Consciousness or Awareness. Therefore, when dealing with planes of being of which, at the time, they had but little knowledge, the ancient occultists always assumed the existence in everything on the unknown plane of these three great forms of manifestation. And all future esoteric investigation and discovery tended to disclose facts corroborating and sustaining the original assumption derived by analogy, and the discoveries of modern science have invariably tended in the same direction.

(510) but they begin with them, and go on until they arrive at last, and in a consistent manner, at their conclusion? Yes, he said, I know. And do you not know also that although they make use of the visible forms and reason about them, they are thinking not of these, but of the ideals which they resemble; not of the figures which they draw, but of the absolute square and the absolute diameter, and so on—the forms which they draw or make, and which have shadows and reflections in water of their own, are converted by them into images, but they are really seeking to behold the things themselves, which can only be seen with the eye of the mind? That is true. And of this kind I spoke as the intelligible, although in the search after it the soul is compelled to use hypotheses; not ascending to a first principle, because she is unable to rise above the region of hypothesis, but employing the objects of which the shadows below are resemblances in their turn as images, they having in relation to the shadows and reflections of them a greater distinctness, and therefore a higher value.

(3) Saunaka, the great householder, approached Aṅgiras respectfully and asked: 'Sir, what is that through which, if it is known, everything else becomes known?'