(1) Of his wisdom, however, the commentaries written by the Pythagoreans afford, in short, the greatest indication; for they adhere to truth in every thing, and are more concise than all other compositions, so that they savour of the ancient elegance of style, and the conclusions are exquisitely deduced with divine science. They are also replete with the most condensed conceptions, and are in other respects various and diversified both in the form and the matter. At one and the same time likewise, they are transcendently excellent, and without any deficiency in the diction, and are in an eminent degree full of clear and indubitable arguments, accompanied with scientific demonstration, and as it is said, the most perfect syllogism; as he will find to be the case, who, proceeding in such paths as are fit, does not negligently peruse them.

This science, therefore, concerning intelligible natures and the Gods, Pythagoras delivers in his writings from a supernal origin. Afterwards, he teaches the whole of physics, and unfolds completely ethical philosophy and logic. He likewise delivers all-various disciplines, and the most excellent sciences. And in short there is nothing pertaining to human knowledge which is not accurately discussed in these writings. If therefore it is acknowledged, that of the [Pythagoric] writings which are now in circulation, some were written by Pythagoras himself, but others consist of what he was heard to say, and on this account are anonymous, but are referred to Pythagoras as their author;—if this be the case, it is evident that he was abundantly skilled in all wisdom.

But it is said that he very much applied himself to geometry among the Egyptians. For with the Egyptians there are many geometrical problems; since it is necessary that from remote periods, and from the time of the Gods themselves, on account of the increments and decrements of the Nile, those that were skilful should have measured all the Egyptian land which they cultivated. Hence also geometry derived its name. Neither did they negligently investigate the theory of the celestial orbs, in which likewise Pythagoras was skilled. Moreover, all the theorems about lines appear to have been derived from thence. For it is said that what pertains to computation and numbers, was discovered in Phœnicia. For some persons refer the theorems about the celestial bodies to the Egyptians and Chaldeans in common.

It is said therefore, that Pythagoras having received and increased all these [theories,] imparted the sciences, and at the same time demonstrated them to his auditors with perspicuity and elegance. And he was the first indeed that denominated philosophy, and said that it was the desire, and as it were love of wisdom. But he defined wisdom to be the science of the truth which is in beings. And he said that beings are immaterial and eternal natures, and alone possess an efficacious power, such as incorporeal essences. But that the rest of things are only homonymously beings, and are so denominated through the participation of real beings, and such are corporeal and material forms, which are generated and corrupted, and never truly are.

And that wisdom is the science of things which are properly beings, but not of such as are homonymously so. For corporeal natures are neither the objects of science nor admit of a stable knowledge, since they are infinite and incomprehensible by science, and are as it were, non-beings, when compared with universals, and are incapable of being properly circumscribed by definition. It is impossible however to conceive that there should be science of things which are not naturally the objects of science. Hence it is not probable that there will be a desire of science which has no subsistence, but rather that desire will be extended to things which are properly beings, which exist with invariable permanency, and are always consubsistent with a true appellation.

For it happens that the perception of things which are homonymously beings, and which are never truly what they seem to be, follows the apprehension of real beings; just as the knowledge of particulars follows the science of universals. For he who knows universals properly, says Archytas, will also have a clear perception of the nature of particulars. Hence things which have an existence are not alone, nor only-begotten, nor simple, but they are seen to be various and multiform. For some of them are intelligible and incorporeal natures, and which are denominated beings; but others are corporeal and fall under the perception of sense, and by participation communicate with that which has a real existence. Concerning all these therefore, he delivered the most appropriate sciences, and left nothing [pertaining to them] uninvestigated.

He likewise unfolded to men those sciences which are common [ to all disciplines ,] as for instance the demonstrative, the definitive, and that which consists in dividing, as may be known from the Pythagoric commentaries. He was also accustomed to pour forth sentences resembling Oracles to his familiars in a symbolical manner, and which in the greatest brevity of words contained the most abundant and multifarious meaning, like the Pythian Apollo through certain oracles, or like nature herself through seeds small in bulk, the former exhibiting conceptions, and the latter effects, innumerable in multitude, and difficult to be understood. Of this kind is the sentence, The beginning is the half of the whole , which is an apothegm of Pythagoras himself.

But not only in the present hemistich, but in others of a similar nature, the most divine Pythagoras has concealed the sparks of truth; depositing as in a treasury for those who are capable of being enkindled by them, and with a certain brevity of diction, an extension of theory most ample and difficult to be comprehended, as in the following hemistich:

(2) And there are those who fashion ears and eyes of costly material, and consecrate them, dedicating them in the temples to the gods - by this plainly indicating that God sees and hears all things. Besides, the lion is with them the symbol of strength and prowess, as the ox clearly is of the earth itself, and husbandry and food, and the horse of fortitude and confidence; while, on the other hand, the sphinx, of strength combined with intelligence - as it had a body entirely that of a lion, and the face of a man. Similarly to these, to indicate intelligence, and memory, and power, and art, a man is sculptured in the temples. And in what is called among them the Komasiae of the gods, they carry about golden images - two dogs, one hawk, and one ibis; and the four figures of the images they call four letters. For the dogs are symbols of the two hemispheres, which, as it were, go round and keep watch; the hawk, of the sun, for it is fiery and destructive (so they attribute pestilential diseases to the sun); the ibis, of the moon, likening the shady parts to that which is dark in plumage, and the luminous to the light. And some will have it that by the dogs are meant the tropics, which guard and watch the sun's passage to the south and north. The hawk signifies the equinoctial line, which is high and parched with heat, as the ibis the ecliptic. For the ibis seems, above other animals, to have furnished to the Egyptians the first rudiments of the invention of number and measure, as the oblique line did of circles.

(2) Go up on the wall of Uruk and walk around, examine its foundation, inspect its brickwork thoroughly. Is not (even the core of) the brick structure made of kiln-fired brick, and did not the Seven Sages themselves lay out its plans? One league city, one league palm gardens, one league lowlands, the open area(?) of the Ishtar Temple, three leagues and the open area(?) of Uruk it (the wall) encloses. Find the copper tablet box, open the... of its lock of bronze, undo the fastening of its secret opening. Take and read out from the lapis lazuli tablet how Gilgamesh went through every hardship.

(6) Similarly, as it seems to me, the wise of Egypt- whether in precise knowledge or by a prompting of nature- indicated the truth where, in their effort towards philosophical statement, they left aside the writing-forms that take in the detail of words and sentences- those characters that represent sounds and convey the propositions of reasoning- and drew pictures instead, engraving in the temple- inscriptions a separate image for every separate item: thus they exhibited the mode in which the Supreme goes forth.

For each manifestation of knowledge and wisdom is a distinct image, an object in itself, an immediate unity, not as aggregate of discursive reasoning and detailed willing. Later from this wisdom in unity there appears, in another form of being, an image, already less compact, which announces the original in an outward stage and seeks the causes by which things are such that the wonder rises how a generated world can be so excellent.

For, one who knows must declare his wonder that this Wisdom, while not itself containing the causes by which Being exists and takes such excellence, yet imparts them to the entities produced in Being's realm. This excellence whose necessity is scarcely or not at all manifest to search, exists, if we could but find it out, before all searching and reasoning.

What I say may be considered in one chief thing, and thence applied to all the particular entities:

(1) The doubts also that follow in the next place require for their solution the assistance of the same divinely-wise Muse. But I am desirous, previous to this, to unfold to you the peculiarity of the theology of the Egyptians. For they, imitating the nature of the universe, and the fabricative energy of the Gods, exhibit certain images through symbols of mystic, occult, and invisible intellections; just as nature, after a certain manner, expresses invisible reasons [or productive powers] through visible forms. But the fabricative energy of the Gods delineates the truth of forms, through visible images. Hence the Egyptians, perceiving that all superior natures rejoice in the similitude to them of inferior beings, and thus wishing to fill the latter with good, through the greatest possible imitation of the former, very properly exhibit a mode of theologizing adapted to the mystic doctrine concealed in the symbols.

(13) Therefore also the Egyptians place Sphinxes before their temples, to signify that the doctrine respecting God is enigmatical and obscure; perhaps also that we ought both to love and fear the Divine Being: to love Him as gentle and benign to the pious; to fear Him as inexorably just to the impious; for the sphinx shows the image of a wild beast and of a man together.