(4) Now, Induction aims at generalization and definition; and the divisions are the species, and what a thing is, and the individual. The contemplation of the How adduces the assumption of what is peculiar; and doubts bring the particular differences and the demonstrations, and otherwise augment the speculation and its consequences; and the result of the whole is scientific knowledge and truth.

(2) Such, then, is the method of the discovery [of truth]. For we must begin with the knowledge of the questions to be discussed. For often the form of the expression deceives and confuses and disturbs the mind, so that it is not easy to discover to what class the thing is to be referred; as, for example, whether the foetus be an animal. For, having a conception of an animal and a foetus, we inquire if it be the case that the foetus is an animal; that is, if the substance which is in the foetal state possesses the power of motion, and of sensation besides. So that the inquiry is regarding functions and sensations in a substance previously known. Consequently the man who proposes the question is to be first asked, what he calls an animal. Especially is this to be done whenever we find the same term applied to various purposes; and we must examine whether what is signified by the term is disputed, or admitted by all. For were one to say that he calls whatever grows and is fed an animal, we shall have again to ask further, whether he considered plants to be animals; and then, after declaring himself to this effect, he must show what it is which is in the foetal state, and is nourished.

(1) It is necessary that you should become scientific, either by learning from another person, or by discovering yourself the things of which you have a scientific knowledge. If, therefore, you learn from another person, that which you learn is foreign; but what you discover yourself is through yourself, and is your own. Moreover, if you investigate, discovery will be easy, and soon obtained; but if you do not know how to investigate, discovery will be to you impossible. And [right] reasoning indeed, when discovered, causes sedition to cease, and increases concord. For through this the inexhaustible desire of possessing is suppressed, and equality prevails; since by this we obtain what is just in contracts. Hence, on account of this, the poor receive from those who are able to give; and the rich give to those that are in want, both of them believing that through this they shall obtain the equal.

This however will be a rule and an impediment to those that act unjustly, viz. that men who possess scientific knowledge will appease their anger, prior to the commission of an injury, being persuaded that the perpetrators of it will not be concealed when it is committed; but that those who do not possess scientific knowledge, becoming manifest in the commission of an injury, will be restrained from acting unjustly.

(511) they start from hypotheses and do not ascend to a principle, those who contemplate them appear to you not to exercise the higher reason upon them, although when a first principle is added to them they are cognizable by the higher reason. And the habit which is concerned with geometry and the cognate sciences I suppose that you would term understanding and not reason, as being intermediate between opinion and reason. You have quite conceived my meaning, I said; and now, corresponding to these four divisions, let there be four faculties in the soul—reason answering to the highest, understanding to the second, faith (or conviction) to the third, and perception of shadows to the last—and let there be a scale of them, and let us suppose that the several faculties have clearness in the same degree that their objects have truth. I understand, he replied, and give my assent, and accept your arrangement.

(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

(3) Of things stated, some are stated without connection; as, for example, "man" and "runs," and whatever does not complete a sentence, which is either true or false. And of things stated in connection, some point out "essence," some "quality," some "quantity," some "relation,'' some "where," some "when," some "position," some "possession," some "action," some "suffering," which we call the elements of material things after the first principles. For these are capable of being contemplated by reason.

(9) But the Depth in the Center of the Birth he knew much better than we in our Schools [or Universities,] which is shown by that a Saying, That he gave Names to all Things, to every Thing according to its Essence, Nature, and Property, as if he had stuck [or dwelt] in every Thing, and tried all Essences; whereas he had the Knowledge of them only from their Sound, also from their Form and Aspect, Smell and Taste; the Metals he knew in the Glance of the Tincture, and in the Fire, as it may yet well be known.

(2) But to halt at these nearest determinants, not to be willing to penetrate deeper, indicates a sluggish mind, a dullness to all that calls us towards the primal and transcendent causes.

How comes it that the same surface causes produce different results? There is moonshine, and one man steals and the other does not: under the influence of exactly similar surroundings one man falls sick and the other keeps well; an identical set of operations makes one rich and leaves another poor. The differences amongst us in manners, in characters, in success, force us to go still further back.

Men therefore have never been able to rest at the surface causes.

One school postulates material principles, such as atoms; from the movement, from the collisions and combinations of these, it derives the existence and the mode of being of all particular phenomena, supposing that all depends upon how these atoms are agglomerated, how they act, how they are affected; our own impulses and states, even, are supposed to be determined by these principles.

Such teaching, then, obtrudes this compulsion, an atomic Anagke, even upon Real Being. Substitute, for the atoms, any other material entities as principles and the cause of all things, and at once Real Being becomes servile to the determination set up by them.

Others rise to the first-principle of all that exists and from it derive all they tell of a cause penetrating all things, not merely moving all but making each and everything; but they pose this as a fate and a supremely dominating cause; not merely all else that comes into being, but even our own thinking and thoughts would spring from its movement, just as the several members of an animal move not at their own choice but at the dictation of the leading principle which animal life presupposes.

Yet another school fastens on the universal Circuit as embracing all things and producing all by its motion and by the positions and mutual aspect of the planets and fixed stars in whose power of foretelling they find warrant for the belief that this Circuit is the universal determinant.

Finally, there are those that dwell on the interconnection of the causative forces and on their linked descent- every later phenomenon following upon an earlier, one always leading back to others by which it arose and without which it could not be, and the latest always subservient to what went before them- but this is obviously to bring in fate by another path. This school may be fairly distinguished into two branches; a section which makes all depend upon some one principle and a section which ignores such a unity.

Of this last opinion we will have something to say, but for the moment we will deal with the former, taking the others in their turn.

(15) And Wisdom being manifold, pervading the whole world, and all human affairs, varies its appellation in each case. When it applies itself to first causes, it is called Understanding (nohsis). When, however, it confirms this by demonstrative reasoning, it is termed Knowledge, and Wisdom, and Science. When it is occupied in what pertains to piety, and receives without speculation the primal Word in consequence of the maintenance of the operation in it, it is called Faith. In the sphere of things of sense, establishing that which appears as being truest, it is Right Opinion. In operations, again, performed by skill of hand, it is Art But when, on the other hand, without the study of primary causes, by the observation of similarities, and by transposition, it makes any attempt or combination, it is called Experiment. But belonging to it, and supreme and essential, is the Holy Spirit, which above all he who, in consequence of [divine] guidance, has believed, receives after strong faith.

(15) For the embryo is not to be called an animal from the fact that it is nourished; which is the allegation of those who turn aside from the essence of the question, and apply their minds to what happens otherwise. But in the case of all conclusions alleged to be found out, demonstration is applied in common, which is discourse (logos), establishing one thing from others. But the grounds from which the point in question is to be established, must be admitted and known by the learner. And the foundation of all these is what is evident to sense and to intellect.

(2) Now, not only demonstration and belief and knowledge, but foreknowledge also, are used in a twofold manner. There is that which is scientific and certain, and that which is merely based on hope.

(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.

(13) If, then, one begins with the things which are evident to sensation and understanding, and then draw the proper conclusion, he truly demonstrates. But if [he begin] with things which are only probable and not primary, that is evident neither to sense nor understanding, and if he draw the right conclusion, he will syllogize indeed, but not produce a scientific demonstration; but if [he draw] not the right conclusion, he will not syllogize at all.

(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.

(525) And they appear to lead the mind towards truth? Yes, in a very remarkable manner. Then this is knowledge of the kind for which we are seeking, having a double use, military and philosophical; for the man of war must learn the art of number or he will not know how to array his troops, and the philosopher also, because he has to rise out of the sea of change and lay hold of true being, and therefore he must be an arithmetician. That is true. And our guardian is both warrior and philosopher? Certainly. Then this is a kind of knowledge which legislation may fitly prescribe; and we must endeavour to persuade those who are to be the principal men of our State to go and learn arithmetic, not as amateurs, but they must carry on the study until they see the nature of numbers with the mind only; nor again, like merchants or retail-traders, with a view to buying or selling, but for the sake of their military use, and of the soul herself; and because this will be the easiest way for her to pass from becoming to truth and being. That is excellent, he said. Yes, I said, and now having spoken of it, I must add how charming the science is! and in how many ways it conduces to our desired end, if pursued in the spirit of a philosopher, and not of a shopkeeper! How do you mean? I mean, as I was saying, that arithmetic has a very great and elevating effect, compelling the soul to reason about abstract number, and rebelling against the introduction of visible or tangible objects into the argument. You know

(533) the soul, which is literally buried in an outlandish slough, is by her gentle aid lifted upwards; and she uses as handmaids and helpers in the work of conversion, the sciences which we have been discussing. Custom terms them sciences, but they ought to have some other name, implying greater clearness than opinion and less clearness than science: and this, in our previous sketch, was called understanding. But why should we dispute about names when we have realities of such importance to consider? Why indeed, he said, when any name will do which expresses the thought of the mind with clearness? At any rate, we are satisfied, as before, to have four divisions; two for intellect and two for opinion, and to call the first division science, the second understanding, the third belief, and the fourth perception of shadows, opinion being concerned with becoming, and intellect with being; and so to make a proportion:— As being is to becoming, so is pure intellect to opinion. And as intellect is to opinion, so is science to belief, and understanding to the perception of shadows. But let us defer the further correlation and subdivision of the subjects of opinion and of intellect, for it will be a long enquiry, many times longer than this has been.

(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.

(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.

(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.

(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.