"We nothing accurate, or see, or hear:"

and if it says this, looking to its internal reasons, none of which it knows through the body, or through corporeal cognitions, it is evident that, according to this energy, it removes itself far from the senses, contrary to the decision of which it becomes separated from those sorrows and delights.

After this, let us direct our attention to another and a better motion of our rational soul, when, during the tranquillity of the inferior parts, by a self-convertive energy, it sees its own essence, the powers which it contains, the harmonic reasons from which it consists, and the many lives of which it is the middle boundary, and thus finds itself to be a rational world, the image of the prior natures, from which it proceeds, but the paradigm of such as are posterior to itself. To this energy of the soul, theoretic arithmetic and geometry greatly contribute, for these remove it from the senses, purify the intellect from the irrational forms of life with which it is surrounded, and lead it to the incorporeal perception of ideas. For if these sciences receive the soul replete with images, and knowing nothing subtile and unattended with material garrulity; and if they elucidate reasons possessing an irrefragable necessity of demonstration, and forms full of all certainty and immateriality, and which by no means call to their aid the inaccuracy of sensibles, do they not evidently purify our intellectual life from things which fill us with a privation of intellect, and which impede our perception of true being?

After both these operations of the rational soul, let us now survey her highest intelligence, through which she sees her sister souls in the universe, who are allotted a residence in the heavens, and in the whole of a visible nature, according to the will of the fabricator of the world. But above all souls, she sees intellectual essences and orders. For a deiform intellect resides above every soul, and which also imparts to the soul an intellectual habit. Prior to these, however, she sees those divine monads, from which all intellectual multitudes receive their unions. For above all things united, there must necessarily be unific causes; above things vivified, vivifying causes; above intellectual natures, those that impart intellect; and above all participants, imparticipable natures. From all these elevating modes of intelligence, it must be obvious to such as are not perfectly blind, how the soul, leaving sense and body behind, surveys through the projecting energies of intellect those beings that are entirely exempt from all connection with a corporeal nature.

The rational and intellectual soul therefore, in whatever manner it may be moved according to nature, is beyond body and sense. And hence it must necessarily have an essence separate from both. But from this again, it becomes manifest, that when it energizes according to its nature, it is superior to Fate, and beyond the reach of its attractive power; but that, when falling into sense and things irrational and corporalized, it follows downward natures and lives, with them as with inebriated neighbors, then together with them it becomes subject to the dominion of Fate. For again, it is necessary that there should be an order of beings of such a kind, as to subsist according to essence above Fate, but to be sometimes ranked under it according to habitude. For if there are beings, and such are all intellectual natures which are eternally established above the laws of Fate, and also which, according to the whole of their life, are distributed under the periods of Fate, it is necessary that the medium between these should be that nature which is sometimes above, and sometimes under the dominion of Fate. For the procession of incorporeal natures is much more without a vacuum than that of bodies.

The free will therefore of man, according to Plato, is a rational elective, power, desiderative of true and apparent good, and leading the soul to both, through which it ascends and descends, errs and acts with rectitude. And hence the elective will be the same with that which characterizes our essence. According to this power, we differ from divine and mortal natures: for each of these is void of that two-fold inclination; the one on account of its excellence being alone established in true good; but the other in apparent good, on account of its defect. Intellect too characterizes the one, but sense the other; and the former, as Plotinus says, is our king, but the latter our messenger. We therefore are established in the elective power as a medium; and having the ability of tending both to true and apparent good, when we tend to the former we follow the guidance of intellect, when to the latter, that of sense. The power therefore which is in us is not capable of all things. For the power which is omnipotent is characterized by unity; and on this account is all-powerful, because it is one, and possesses the form of good. But the elective power is two-fold, and on this account is not able to effect all things; because, by it's inclinations to true and apparent good, it falls short of that nature which is prior to all things. It would however be all-powerful, if it had not an elective impulse, and was will alone. For a life subsisting according to will alone subsists according to good, because the will naturally tends to good, and such a life makes that which is characteristic in us most powerful and deiform. And hence through this the soul, according to Plato, becomes divine, and in another life, in conjunction with deity, governs the world. And thus much of the outlines of the leading dogmas of the philosophy of Plato.

In the beginning of this Introduction, I observed that, in drawing these outlines I should conduct the reader through novel and solitary paths, solitary indeed they must be, since they have been unfrequented from the reign of the emperor Justinian to the present time; and novel they will doubtless appear to readers of every description, and particularly to those who have been nursed as it were in the bosom of matter, the pupils of experiment, the darlings of sense, and the legitimate descendants of the earth-born race that warred on the Olympian gods. To such as these, who have gazed on the dark and deformed face of their nurse, till they are incapable of beholding the light of truth, and who are become so drowsy from drinking immoderately of the cup of oblivion, that their whole life is nothing more than a transmigration from sleep to sleep, and from dream to dream, like men passing from one bed to another,—to such as these, the road through which we have been traveling will appear to be a delusive passage, and the objects which we have surveyed to be nothing more than fantastic visions, seen only by the eye of imagination, and when seen, idle and vain as the dreams of a shadow.

The following arguments, however, may perhaps awaken some few of these who are less lethargic than the rest, from the sleep of sense, and enable them to elevate their mental eye from the dark mire in which they are plunged, and gain a glimpse of this most weighty truth, that there is another world, of which this is nothing more than a most obscure resemblance, and another life, of which this is but the flying mockery. My present discourse therefore is addressed to those who consider experiment as the only solid criterion of truth. In the first place then, these men appear to be ignorant of the invariable laws of demonstration properly so called, and that the necessary requisites of all demonstrative propositions are these: that they exist as causes, are primary, more excellent, peculiar, true, and known than the conclusions. For every demonstration not only consists of principles prior to others, but of such as are eminently first; since if the assumed propositions may be demonstrated by other assumptions, such propositions may indeed appear prior to the conclusions, but are by no means entitled to the appellation of first. Others, on the contrary, which require no demonstration, but are of themselves manifest, are deservedly esteemed the first, the truest, and the best. Such indemonstrable truths were called by the ancients axioms from their majesty and authority, as the assumptions which constitute demonstrative syllogisms derive all their force and efficacy from these.

In the next place, they seem not to be sufficiently aware, that universal is better than partial demonstration. For that demonstration is the more excellent which is derived from the better cause; but a universal is more extended and excellent than a partial cause; since the arduous investigation of the why in any subject is only stopped by the arrival at universals. Thus if we desire to know why the outward angles of a triangle are equal to four right angles, and it is answered, Because the triangle is isosceles; we again ask, but why Because isosceles? And if it be replied, Because it is a triangle; we may again inquire, But why because a triangle? To which we finally answer, because a triangle is a right-lined figure. And here our inquiry rests at that universal idea, which embraces every preceding particular one, and is contained in no other more general and comprehensive than itself. Add too, that the demonstration of particulars is almost the demonstration of infinites; of universals the demonstration of finites; and of infinites there can be no science. That demonstration likewise is the best which furnishes the mind with the most ample knowledge; and this is, alone, the province of universals. We may also add, that he who knows universals knows particulars likewise in capacity; but we can not infer that he who has the best knowledge of particulars, knows any thing of universals. And lastly, that which is universal is the object of intellect and reason; but particulars are coordinated to the perceptions of sense.

But here perhaps the experimentalist will say, admitting all this to be true, yet we no otherwise obtain a perception of these universals than by an induction of particulars, and abstraction from sensibles. To this, I answer that the universal which is the proper object of science, is not by any means the offspring of abstraction; and induction is no otherwise subservient to its existence than an exciting cause. For if scientific conclusions are indubitable, if the truth of demonstration is necessary and eternal, this universal is truly all, and not like that gained by abstraction, limited to a certain number of particulars. Thus, the proposition that the angles of every triangle are equal to two right, if it is indubitably true, that is, if the term every in it really includes all triangles, cannot be the result of any abstraction; for this, however extended it may be, is limited, and falls far short of universal comprehension. Whence is it then that the dianoetic power concludes thus confidently that the Proposition is true of all triangles? For if it be said that the mind, after having abstracted triangle from a certain number of particulars, adds from itself what is wanting to complete the all; in the first place, no man, I believe, will say that any such operation as this took place in his mind when he first learnt this proposition; and in the next place, if this should be granted, it would follow that such proposition is a mere fiction, since it is uncertain whether that which is added to complete the all is truly added; and thus the conclusion will no longer be indubitably necessary.