Passages similar to: Secret Teachings of All Ages — Pythagorean Mathematics
1...
Source passage
Western Esoteric
Secret Teachings of All Ages
Pythagorean Mathematics (1)
CONCERNING the secret significance of numbers there has been much speculation. Though many interesting discoveries have been made, it may be safely said that with the death of Pythagoras the great key to this science was lost. For nearly 2500 years philosophers of all nations have attempted to unravel the Pythagorean skein, but apparently none has been successful. Notwithstanding attempts made to obliterate all records of the teachings of Pythagoras, fragments have survived which give clues to some of the simpler parts of his philosophy. The major secrets were never committed to writing, but were communicated orally to a few chosen disciples. These apparently dated not divulge their secrets to the profane, the result being that when death sealed their lips the arcana died with diem.
Of his wisdom, however, the commentaries written by the Pythagoreans afford, in short, the greatest indication; for they adhere to truth in every...
(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:
Chapter IX: Reasons for Veiling the Truth in Symbols. (5)
Further, those who instituted the mysteries, being philosophers, buried their doctrines in myths, so as not to be obvious to all. Did they then, by ve...
(5) And the disciples of Aristotle say that some of their treatises are esoteric, and others common and exoteric. Further, those who instituted the mysteries, being philosophers, buried their doctrines in myths, so as not to be obvious to all. Did they then, by veiling human opinions, prevent the ignorant from handling them; and was it not more beneficial for the holy and blessed contemplation of realities to be concealed? But it was not only the tenets of the Barbarian philosophy, or the Pythagorean myths. But even those myths in Plato (in the Republic, that of Hero the Armenian; and in the Gorgias, that of Aeacus and Rhadamanthus; and in the Phoedo, that of Tartarus; and in the Protagoras, that of Prometheus and Epimetheus; and besides these, that of the war between the Atlantini and the Athenians in the Atlanticum) r are to be expounded allegorically, not absolutely n in all their expressions, but in those which ex press the general sense. And these we shall find indicated by symbols under the veil of allegory. Also the association of Pythagoras, and the twofold intercourse with the associates which designates the majority, hearers (akousmatikoi), and the others that have a genuine attachment to philosophy, disciples (224> aqhmatikoi, yet signified that something was spoken to the multitude, and something concealed from them. Perchance, too, the twofold species of the Peripatetic teaching - that called probable, and that called knowable - came very near the distinction between opinion on the one hand, and glory and truth on the other.
Pythagoras saith: How marvellous is the diversity of the Philosophers in those things which they formerly asserted, and in their coming. together {or...
(64) Pythagoras saith: How marvellous is the diversity of the Philosophers in those things which they formerly asserted, and in their coming. together {or agreement], in respect of this small and most common-thing, wherein the precious thing is concealed! And if the vulgar knew, O all ye investigators of this art, the same small and vile thing, they would deem it a lie! Yet, if they knew its efficacy, they would not vilify it, but God hath concealed this from the crowd* lest the world should be devastated.
That which follows after this, we shall no longer discuss generally, but direct our attention particularly to the works resulting from the virtues of...
(1) That which follows after this, we shall no longer discuss generally, but direct our attention particularly to the works resulting from the virtues of Pythagoras. And we shall begin in the first place from the Gods, as it is usual to do, and endeavour to exhibit his piety, and the admirable works which he performed. Let this, therefore, be one specimen of his piety, which also we have before mentioned, that he knew what his soul was, and whence it came into the body, and also its former lives, and that of these things he gave most evident indications. After this also, let the following be another specimen; that once passing over the river Nessus with many of his associates, he spoke to it, and the river in a distinct and clear voice, in the hearing of all his followers, answered, Hail Pythagoras!
Farther still, nearly all historians of his life confidently assert, that in one and the same day he was present at Metapontum in Italy, and Tauromenium in Sicily, and discoursed in common with his disciples in both places, though these cities are separated from each other by many stadia both by land and sea, and cannot be passed through in a great number of days. The report, also, is very much disseminated, that he showed his golden thigh to the Hyperborean Abaris, who said that he resembled the Apollo among the Hyperboreans, and of whom Abaris was the priest; and that he did this in order that Abaris might apprehend this to be true, and that he was not deceived in his opinion.
Ten thousand other more divine and more admirable particulars likewise are uniformly and unanimously related of the man : such as infallible predictions of earthquakes , rapid expulsions of pestilence and violent winds, instantaneous cessations of the effusion of hail, and a tranquillization of the waves of rivers and seas, in order that his disciples might easily pass over them. Of which things also, Empedocles the Agrigentine, Epimenides the Cretan, and Abaris the Hyperborean, receiving the power of effecting, performed certain miracles of this kind in many places. Their deeds, however, are manifest. To which we may add, that Empedocles was surnamed an expeller of winds ; Epimenides, an expiator ; and Abaris, a walker on air ; because being carried on the dart which was given to him by the Hyperborean Apollo, he passed over rivers and seas and inaccessible places, like one walking on the air.
Certain persons likewise are of opinion, that Pythagoras did the same thing, when in the same day he discoursed with his disciples at Metapontum and Tauromenium. It is also said, that he predicted there would be an earthquake from the water of a well which he had tasted; and that a ship which was sailing with a prosperous wind, would be merged in the sea. And let these, indeed, be the indications of his piety.
Universally, however, it deserves to be known, that Pythagoras discovered many paths of erudition, and that he delivered an appropriate portion of...
(1) Universally, however, it deserves to be known, that Pythagoras discovered many paths of erudition, and that he delivered an appropriate portion of wisdom conformable to the proper nature and power of each; of which the following is the greatest argument. When Abaris, the Scythian, came from the Hyperboreans, unskilled and uninitiated in the Grecian learning, and was then of an advanced age, Pythagoras did not introduce him to erudition through various theorems, but instead of silence, auscultation for so long a time, and other trials, he immediately considered him adapted to be an auditor of his dogmas, and instructed him in the shortest way in his treatise On Nature, and in another treatise On the Gods. For Abaris came from the Hyperboreans, being a priest of the Apollo who is there worshipped, an elderly man, and most wise in sacred concerns; but at that time he was returning from Greece to his own country, in order that he might consecrate to the God in his temple among the Hyperboreans, the gold which he had collected.
Passing therefore through Italy, and seeing Pythagoras, he especially assimilated him to the God of whom he was the priest. And believing that he was no other than the God himself, and that no man resembled him, but that he was truly Apollo, both from the venerable indications which he saw about him, and from those which the priest had known before, he gave Pythagoras a dart which he took with him when he left the temple, as a thing that would be useful to him in the difficulties that would befal him in so long a journey. For he was carried by it, in passing through inaccessible places, such as rivers, lakes, marshes, mountains, and the like, and performed through it, as it is said, lustrations, and expelled pestilence and winds from the cities that requested him to liberate them from these evils.
We are informed, therefore, that Lacedæmon, after having been purified by him, was no longer infested with pestilence, though prior to this it had frequently fallen into this evil, through the baneful nature of the place in which it was built, the mountains of Taygetus producing a suffocating heat, by being situated above the city, in the same manner as Cnossus in Crete. And many other similar particulars are related of the power of Abaris. Pythagoras, however, receiving the dart, and neither being astonished at the novelty of the thing, nor asking the reason why it was given to him, but as if he was in reality a God himself, taking Abaris aside, he showed him his golden thigh, as an indication that he was not [wholly] deceived [in the opinion he had formed of him;] and having enumerated to him the several particulars that were deposited in the temple, he gave him sufficient reason to believe that he had not badly conjectured [in assimilating him to Apollo].
Pythagoras also added, that he came [into the regions of mortality] for the purpose of remedying and benefiting the condition of mankind, and that on this account he had assumed a human form, lest men being disturbed by the novelty of his transcendency, should avoid the discipline which he possessed. He likewise exhorted Abaris to remain in that place, and to unite with him in correcting [the lives and manners] of those with whom they might meet; but to share the gold which he had collected, in common with his associates, who were led by reason to confirm by their deeds the dogma, that the possessions of friends are common . Thus, therefore, Pythagoras unfolded to Abaris, who remained with him, as we have just now said, physiology and theology in a compendious way; and instead of divination by the entrails of beasts, he delivered to him the art of prognosticating through numbers, conceiving that this was purer, more divine, and more adapted to the celestial numbers of the Gods.
He delivered also to Abaris other studies which were adapted to him. That we may return, however, to that for the sake of which the present treatise was written, Pythagoras endeavoured to correct and amend different persons, according to the nature and power of each. All such particulars therefore as these, have neither been transmitted to the knowledge of men, nor is it easy to narrate all that has been transmitted to us concerning him.
There was, however, a certain person named Hippomedon, an Ægean, a Pythagorean and one of the Acusmatici, who asserted that Pythagoras gave the...
(4) There was, however, a certain person named Hippomedon, an Ægean, a Pythagorean and one of the Acusmatici, who asserted that Pythagoras gave the reasons and demonstrations of all these precepts, but that in consequence of their being delivered to many, and these such as were of a more sluggish genius, the demonstrations were taken away, but the problems themselves were left. Those however of the Pythagoreans that are called Mathematici , acknowledge that these reasons and demonstrations were added by Pythagoras, and they say still more than this, and contend that their assertions are true, but affirm that the following circumstance was the cause of the dissimilitude. Pythagoras, say they, came from Ionia and Samos, during the tyranny of Polycrates, Italy being then in a florishing condition; and the first men in the city became his associates.
But, to the more elderly of these, and who were not at leisure [for philosophy], in consequence of being occupied by political affairs, the discourse of Pythagoras was not accompanied with a reasoning process, because it would have been difficult for them to apprehend his meaning through disciplines and demonstrations; and he conceived they would nevertheless be benefited by knowing what ought to be done, though they were destitute of the knowledge of the why : just as those who are under the care of physicians, obtain their health, though they do not hear the reason of every thing which is to be done to them. But with the younger part of his associates, and who were able both to act and learn,—with these he conversed through demonstration and disciplines.
These therefore are the assertions of the Mathematici, but the former, of the Acusmatici. With respect to Hippasus however especially, they assert that he was one of the Pythagoreans, but that in consequence of having divulged and described the method of forming a sphere from twelve pentagons, he perished in the sea, as an impious person, but obtained the renown of having made the discovery. In reality, however, this as well as every thing else pertaining to geometry, was the invention of that man ; for thus without mentioning his name, they denominate Pythagoras. But the Pythagoreans say, that geometry was divulged from the following circumstance: A certain Pythagorean happened to lose the wealth which he possessed; and in consequence of this misfortune, he was permitted to enrich himself from geometry.
But geometry was called by Pythagoras Historia . And thus much concerning the difference of each mode of philosophising, and the classes of the auditors of Pythagoras. For those who heard him either within or without the veil, and those who heard him accompanied with seeing, or without seeing him, and who are divided into interior and exterior auditors, were no other than these. And it is requisite to arrange under these, the political, economic and legislative Pythagoreans.
The mode however of teaching through symbols, was considered by Pythagoras as most necessary. For this form of erudition was cultivated by nearly all...
(1) The mode however of teaching through symbols, was considered by Pythagoras as most necessary. For this form of erudition was cultivated by nearly all the Greeks, as being most ancient. But it was transcendently honored by the Egyptians, and adopted by them in the most diversified manner. Conformably to this, therefore, it will be found, that great attention was paid to it by Pythagoras, if any one clearly unfolds the significations and arcane conceptions of the Pythagoric symbols, and thus developes the great rectitude and truth they contain, and liberates them from their enigmatic form. For they are adapted according to a simple and uniform doctrine, to the great geniuses of these philosophers, and deify in a manner which surpasses human conception.
For those who came from this school, and especially the most ancient Pythagoreans, and also those young men who were the disciples of Pythagoras when he was an old man, viz. Philolaus and Eurytus, Charondas and Zaleucus, and Brysson, the elder Archytas also, and Aristæus, Lysis and Empedocles, Zanolxis and Epimenides, Milo and Leucippus, Alcmæon, Hippasus and Thymaridas, and all of that age, consisting of a multitude of learned men, and who were above measure excellent,—all these adopted this mode of teaching, in their discourses with each other, and in their commentaries and annotations. Their writings also, and all the books which they published, most of which have been preserved even to our time , were not composed by them in a popular and vulgar diction, and in a manner usual with all other writers, so as to be immediately understood, but in such a way as not to be easily apprehended by those that read them.
For they adopted that taciturnity which was instituted by Pythagoras as a law, in concealing after an arcane mode, divine mysteries from the uninitiated, and obscuring their writings and conferences with each other. Hence he who selecting these symbols does not unfold their meaning by an apposite exposition, will cause those who may happen to meet with them to consider them as ridiculous and inane, and as full of nugacity and garrulity. When, however, they are unfolded in a way conformable to these symbols, and become obvious and clear even to the multitude, instead of being obscure and dark, then they will be found to be analogous to prophetic sayings, and to the oracles of the Pythian Apollo. They will then also exhibit an admirable meaning, and will produce a divine afflatus in those who unite intellect with erudition.
Nor will it be improper to mention a few of them, in order that this mode of discipline may become more perspicuous: Enter not into a temple negligently, nor in short adore carelessly, not even though you should stand at the very doors themselves . Sacrifice and adore unshod. Declining from the public ways, walk in unfrequented paths. Speak not about Pythagoric concerns without light. And such are the outlines of the mode adopted by Pythagoras of teaching through symbols.
Fearing, however, lest the name of philosophy should be entirely exterminated from mankind, and that they should on this account incur the...
(3) Fearing, however, lest the name of philosophy should be entirely exterminated from mankind, and that they should on this account incur the indignation of the Gods, by suffering so great a gift of theirs to perish, they made an arrangement of certain commentaries and symbols, and likewise, collected together the writings of the more ancient Pythagoreans, and of such things as they remembered. These, each left at his death to his son, or daughter, or wife, with a strict injunction not to give them to any one out of the family. This mandate therefore, was for a long time observed, and was transmitted in succession to their posterity,
We take great pleasure in presenting to the attention of students and investigators of the Secret Doctrines this little work based upon the world-old...
(1) We take great pleasure in presenting to the attention of students and investigators of the Secret Doctrines this little work based upon the world-old Hermetic Teachings. There has been so little written upon this subject, not withstanding the countless references to the Teachings in the many works upon occultism, that the many earnest searchers after the Arcane Truths will doubtless welcome the appearance of this present volume.
He also promulgated purifications, and initiations as they are called, which contain the most accurate knowledge of the Gods. And farther still, it is...
(9) And, in short, it is said that Pythagoras was emulous of the Orphic mode of writing and [piety of] disposition; and that he honored the Gods in a way similar to that of Orpheus, placing them in images and in brass, not conjoined to our forms, but to divine receptacles; because they comprehend and provide for all things; and have a nature and morphe similar to the universe. He also promulgated purifications, and initiations as they are called, which contain the most accurate knowledge of the Gods. And farther still, it is said, that he was the author of a compound divine philosophy and worship of the Gods; having learnt indeed some things from the followers of Orpheus, but others from the Egyptian priests; some from the Chaldæans and Magi; some from the mysteries performed in Eleusis, in Imbrus, Samothracia, and Delos; and some also from those which are performed by the Celtæ, and in Iberia.
It is also said that the Sacred Discourse of Pythagoras is extant among the Latins, and is read not to all, nor by all of them, but by those who are promptly disposed to learn what is excellent, and apply themselves to nothing base. He likewise ordained that men should make libations thrice, and observed that Apollo delivered oracles from the tripod, because the triad is the first number. That sacrifices also should be made to Venus on the sixth day, because this number is the first that partakes of every number , and, when divided in every possible way, receives the power of the numbers subtracted and of those that remain. But that it is necessary to sacrifice to Hercules on the eighth day of the month from the beginning, looking in so doing to his being born in the seventh month.
He further asserted, that it was necessary that he who entered a temple should be clothed with a pure garment, and in which no one had slept; because sleep in the same manner as the black and the brown, is an indication of sluggishness; but purity is a sign of equality and justice in reasoning. He also ordered, that if blood should be found involuntarily spilt in a temple, a lustration should be made, either in a golden vessel, or with the water of the sea; the former of these [i. e. gold] being the most beautiful of things, and a measure by which the price of all things is regulated; but the latter as he conceived being the progeny of a moist nature, and the nutriment of the first and more common matter.
He likewise said, that it was not proper to bring forth children in a temple; because it is not holy that in a temple the divine part of the soul should be bound to the body. He further ordained, that on a festive day neither the hair should be cut, nor the nails paired; not thinking it fit that we should leave the service of the Gods for the purpose of increasing our good. He also said, that a louse ought not to be killed in a temple; conceiving that a divine power ought not to participate of any thing superfluous and corruptible. But that the Gods should be honored with cedar, laurel, cypress, oak, and myrtle; and that the body should not be purified with these, nor should any of them be divided by the teeth.
He likewise ordained, that what is boiled should not be roasted; signifying by this that mildness is not in want of anger. But he would not suffer the bodies of the dead to be burned; following in this the Magi, being unwilling that any thing divine should communicate with a mortal nature. He likewise thought it was holy for the dead to be carried out in white garments; obscurely signifying by this the simple and first nature, according to number and the principle of all things. But above all things he ordained, that an oath should be taken religiously; since that which is behind is long. And he said, that it is much more holy to be injured than to kill a man: for judgment is deposited in Hades, where the soul and its essence, and the first nature of things are [properly] estimated.
Farther still, he ordered that sepulchral chests [i. e. biers] should not be made of cypress, because the sceptre of Jupiter was made of this wood, or for some other mystic reason. He likewise ordained that libations should be performed before the table of Jupiter the Saviour, and of Hercules and the Dioscuri; in so doing celebrating Jupiter as the presiding cause and leader of this nutriment; Hercules, as the power of nature; and the Dioscuri, as the symphony of all things. But he said, that libations should not be offered with closed eyes. For he did not think it fit, that any thing beautiful should be undertaken with shame and bashfulness. Moreover, when it thundered, he ordained that the earth should be touched, in remembrance of the generation of things.
But he ordered that temples should be entered from places on the right hand, and that they should be departed out of from the left hand. For he asserted that the right hand is the principle of what is called the odd number, and is divine; but that the left hand is a symbol of the even number, and of that which is dissolved. And such is the mode which he is said to have adopted in the cultivation of piety. But other particulars which we have omitted concerning it, may be conjectured from what has been said. So that I shall cease to speak further on this subject.
I think also, it was said by the Pythagoreans, respecting those who teach for the sake of reward, that they show themselves to be worse than...
(4) I think also, it was said by the Pythagoreans, respecting those who teach for the sake of reward, that they show themselves to be worse than statuaries, or those artists who perform their work sitting. For these, when some one orders them to make a statue of Hermes, search for wood adapted to the reception of the proper form; but those pretend that they can readily produce the works of virtue from every nature. The Pythagoreans likewise said, that it is more necessary to pay attention to philosophy, than to parents and agriculture; for it is owing to the latter, indeed, that we live; but philosophers and preceptors are the causes of our living well, and becoming wise, in consequence of having discovered the right mode of discipline and instruction.
Nor did they think fit either to speak or write in such a way, that their conceptions might be obvious to any casual persons; but Pythagoras is said to have taught this in the first place to those that came to him, that, being purified from all incontinence, they should preserve in silence the doctrines they had heard. It is said, therefore, that he who first divulged the theory of commensurable and incommensurable quantities, to those who were unworthy to receive it, was so hated by the Pythagoreans that they not only expelled him from their common association, and from living with them, but also constructed a tomb for him, as one who had migrated from the human and passed into a another life.
Others also say, that the Divine Power was indignant with those who divulged the dogmas of Pythagoras: for that he perished in the sea, as an impious person, who rendered manifest the composition of the icostagonus ; viz. who delivered the method of inscribing in a sphere the dodecaedron, which is one of what are called the five solid figures. But according to others, this happened to him who unfolded the doctrine of irrational and incommensurable quantities. Moreover, all the Pythagoric discipline was symbolic, and resembled enigmas and riddles, consisting of apothegms, in consequence of imitating antiquity in its character; just as the truly divine and Pythian oracles appear to be in a certain respect difficult to be understood and explained, to those who carelessly receive the answers which they give. Such therefore, and so many are the indications respecting Pythagoras and the Pythagoreans, which may be collected from what is disseminated about them.
And these things, indeed, O Hipparchus, you learnt with diligent assiduity, but you have not preserved them; having tasted, O excellent man, of Sicili...
(2) “It is reported that you philosophize to every one you may happen to meet, and publicly, which Pythagoras did not think fit to do. And these things, indeed, O Hipparchus, you learnt with diligent assiduity, but you have not preserved them; having tasted, O excellent man, of Sicilian delicacies, which you ought not to have tasted a second time. If, therefore, you abandon these, I shall rejoice; but if not, you will be dead in my opinion. For it will be pious to call to mind the divine and human precepts of Pythagoras, and not to make the goods of wisdom common to those, who have not even in a dream their soul purified. For it is not lawful to extend to every casual person, things which were obtained with such great labors, and such diligent assiduity, nor to divulge the mysteries of the Eleusinian Goddesses to the profane.
For those who do either of these, are equally unjust and impious. But it will be well to consider what a great length of time we consumed in wiping away the stains which had insinuated themselves into our breasts, till, after the lapse of some years, we became fit recipients of the doctrines of Pythagoras. For as dyers previously purify garments, and then fix in the colors with which they wish them to be imbued, in order that the dye may not be washed away, and may never become evanescent; after the same manner also that divine man prepared the souls of those that were lovers of philosophy, so that they might not deceive him in any of those beautiful and good qualities which he hoped they would possess.
For he did not impart spurious doctrines, nor snares, in which most of the sophists, who are at leisure for no good purpose, entangle young men; but he possessed a scientific knowledge of things human and divine. These men, however, making his doctrine a pretext, perform many dreadful deeds, ensnaring youth not in a becoming nor yet in a casual way. Hence they render their auditors noxious and precipitate. For they infuse theorems and divine doctrines into confused and turbid manners. Just as if some one should pour pure and clear water into a deep well full of mud; for he would disturb the mud, and destroy the clear water. The same thing likewise takes place between those who teach and those who are taught after this manner.
For dense thickets and which are full of briars surround the intellect and heart of those who have not been purely initiated in disciplines, obscure the mild, tranquil, and reasoning power of the soul, and openly impede the intellective part from becoming increased and elevated. It is requisite likewise to call intemperance and avarice the mothers of these thickets; both which are naturally prolific. From intemperance, therefore, unlawful marriages, [unjust] desires, corruptions, intoxication, preternatural pleasures, and certain vehement appetites blossom forth, and which impel their possessors into profundities and precipices. For now desires have compelled some not to abstain either from their mothers or their daughters, and violating law, their country, city, and king, with their hands as it were bound behind them, they are violently dragged along like slaves to extreme destruction.
But from avarice germinate rapine, robbery, parricide, sacrilege, sorcery, and such other evils at are the sisters of these. In the first place, therefore, it is necessary to purify the woods in which these passions have fixed their abode, with fire and sword, and all the machines of disciplines; and having liberated the reasoning power from such mighty evils, we may then implant in and deliver to it something useful and good.” So great and so necessary was the attention which, according to Pythagoras, ought to be paid to disciplines prior to philosophy. He likewise ordained that a singular honor, and the most accurate investigation, should be given to the teaching and participation of his dogmas, as he judiciously examined the conceptions of those that came to him, by various documents, and ten thousand forms of scientific theory.
As they by law are orderly dispos’d; And reverence thy oath, but honor next Th’ illustrious heroes. Hence a certain Pythagorean, being compelled by...
(6) As they by law are orderly dispos’d;
And reverence thy oath, but honor next
Th’ illustrious heroes.
Hence a certain Pythagorean, being compelled by law to take an oath, yet in order that he might preserve a Pythagoric dogma, though he would have sworn religiously, chose instead of swearing to pay three talents, this being the fine which he was condemned to pay to the defendant. That Pythagoras however thought that nothing was from chance and fortune, but that all events happened conformably to divine providence, and especially to good and pious men, is confirmed by what is related by Androcydes in his treatise on Pythagoric Symbols, of Thymaridas the Tarentine, and a Pythagorean. For when through a certain circumstance he was about to sail from his own country, and his friends who were present were embracing him, and bidding him farewell, some one said to him, when he had now ascended into the ship, May such things happen to you from the Gods, O Thymaridas, as are conformable to your wishes! But he replied, predict better things; for I should rather wish that such things may happen to me as are conformable to the will of the Gods. For he thought it was more scientific and equitable, not to resist or be indignant with divine providence. If, therefore, any one wishes to learn what were the sources whence these men derived so much piety, it must be said, that a perspicuous paradigm of the Pythagoric theology according to numbers, is in a certain respect to be found in the writings of Orpheus. Nor is it to be doubted, that Pythagoras receiving auxiliaries from Orpheus, composed his treatise Concerning the Gods, which on this account also he inscribed the Sacred Discourse, because it contains the flower of the most mystical place in Orpheus; whether this work was in reality written by Pythagoras, as by most authors it is said to have been, or as some of the Pythagoric school who are both learned and worthy of belief assert, was composed by Telauges; being taken by him from the commentaries which were left by Pythagoras himself to his daughter Damo, the sister of Telauges, and which it is said after her death were given to Bitale the daughter of Damo, and to Telauges the son of Pythagoras, and the husband of Bitale, when he was of a mature age. For when Pythagoras died, he was left very young with his mother Theano. In this Sacred Discourse also, or treatise concerning the Gods (for it has both these inscriptions), who it was that delivered to Pythagoras what is there said concerning the Gods, is rendered manifest. For it says: “ that Pythagoras the son of Mnesarchus was instructed in what pertains to the Gods, when he celebrated orgies in the Thracian Libethra, being initiated in them by Aglaophemus; and that Orpheus the son of Calliope, having learnt wisdom from his mother in the mountain Pangæus, said, that the eternal essence of number is the most providential principle of the universe , of heaven and earth, and the intermediate nature; and farther still, that it is the root of the permanency of divine natures, of Gods and dæmons .” From these things, therefore, it is evident that he learnt from the Orphic writers that the essence of the Gods is defined by number. Through the same numbers also, he produced an admirable fore-knowledge and worship of the Gods, both which are especially most allied to numbers. This, however, may be known from hence; for it is necessary to adduce a certain fact, in order to procure belief of what is said. When Abaris performed sacred rites in his accustomed manner, he procured a fore-knowledge of future events, which is studiously cultivated by all the Barbarians, through sacrificing animals, and especially birds; for they are of opinion that the viscera of such animals are subservient to a more accurate inspection. Pythagoras, therefore, not wishing to suppress his ardent pursuit of truth, but to impart it to him through a certain safer way, and without blood and slaughter, and also because he thought that a cock was sacred to the sun, furnished him with a consummate knowledge of all truth, as it is said, through the arithmetical science . He also obtained from piety, faith concerning the Gods. For Pythagoras always proclaimed, that nothing admirable pertaining to the Gods or divine dogmas should be disbelieved , because the Gods are able to accomplish all things. And the divine dogmas in which it is requisite to believe, are those which Pythagoras delivered. Thus, therefore, the Pythagoreans believed in, and assumed the things about which they dogmatised, because they were not the progeny of false opinion. Hence Eurytus the Crotonian, the auditor of Philolaus said, that a shepherd feeding his sheep near the tomb of Philolaus, heard some one singing. But the person to whom this was related, did not at all disbelieve the narration, but asked what kind of harmony it was. Pythagoras himself, also, being asked by a certain person what was indicated by seeming in sleep to converse with his father who was dead, answered that it indicated nothing. For neither, said he, is any thing portended by your speaking with me.
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 th...
(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
The purpose of this work is not the enunciation of any special philosophy or doctrine, but rather is to give to the students a statement of the Truth...
(2) The purpose of this work is not the enunciation of any special philosophy or doctrine, but rather is to give to the students a statement of the Truth that will serve to reconcile the many bits of occult knowledge that they may have acquired, but which are apparently opposed to each other and which often serve to discourage and disgust the beginner in the study. Our intent is not to erect a new Temple of Knowledge, but rather to place in the hands of the student a Master-Key with which he may open the many inner doors in the Temple of Mystery through the main portals he has already entered.
It is also said, that the Pythagoreans endeavoured to perform the offices of friendship to those of their sect, though they were unknown to, and had...
(5) It is also said, that the Pythagoreans endeavoured to perform the offices of friendship to those of their sect, though they were unknown to, and had never been seen by each other, when they had received a certain indication of the participation of the same doctrines; so that from such friendly offices the assertion may be credited, that worthy men, even though they should dwell in the most remote parts of the earth, are mutually friends, and this before they become known to and salute each other. It is said therefore, that a certain Pythagorean, travelling through a long and solitary road on foot, came to an inn; and there, from labor and other all-various causes, fell into a long and severe disease, so as to be at length in want of the necessaries of life.
The inn-keeper, however, whether from commiseration of the man, or from benevolence, supplied him with every thing that was requisite, neither sparing for this purpose any assistance or expense. But the Pythagorean falling a victim to the disease, wrote a certain symbol, before he died, in a table, and desired the inn-keeper, if he should happen to die, to suspend the table near the road, and observe whether any passenger read the symbol. For that person, said he, will repay you what you have spent on me, and will also thank you for your kindness. The inn-keeper, therefore, after the death of the Pythagorean, having buried, and paid the requisite attention to his body, had neither any hopes of being repaid, nor of receiving any recompense from some one who might read the table.
At the same time, however, being surprised at the request of the Pythagorean, he was induced to expose the writing in the public road. A long time after, therefore, a certain Pythagorean passing that way, having understood the symbol, and learnt who it was that placed the table there, and having also investigated every particular, paid the inn-keeper a much greater sum of money than he had disbursed.
It is farther related of the Pythagoreans, that they expelled from themselves lamentation, weeping, and every thing else of this kind; and that...
(6) It is farther related of the Pythagoreans, that they expelled from themselves lamentation, weeping, and every thing else of this kind; and that neither gain, nor desire, nor anger, nor ambition, nor any thing of a similar nature, became the cause of dissension among them; but that all the Pythagoreans were so disposed towards each other, as a worthy father is towards his offspring. This also is a beautiful circumstance, that they referred every thing to Pythagoras, and called it by his name, and that they did not ascribe to themselves the glory of their own inventions, except very rarely. For there are very few whose works are acknowledged to be their own. The accuracy too, with which they preserved their writings is admirable. For in so many ages, no one appears to have met with any of the commentaries of the Pythagoreans, prior to the time of Philolaus. But he first published those three celebrated books, which Dion the Syracusan is said to have bought, at the request of Plato, for a hundred mina. For Philolaus had fallen into a certain great and severe poverty; and from his alliance to the Pythagoreans, was a partaker of their writings.
This therefore was the form of his wisdom which is so admirable. It is also said, that of the sciences which the Pythagoreans honored, music,...
(4) This therefore was the form of his wisdom which is so admirable.
It is also said, that of the sciences which the Pythagoreans honored, music, medicine and divination, were not among the least. But they were habitually silent and prompt to hear, and he who was able to hear [in a proper manner] was praised by them. Of medicine, however, they especially embraced the diætetic species, and in the exercise of this were most accurate. And in the first place, indeed, they endeavoured to learn the indications of symmetry, of labor, food, and repose. In the next place, with respect to the preparation of food, they were nearly the first who attempted to employ themselves in it, and to define the mode in which it should be performed. The Pythagoreans likewise employed cataplasms more frequently than their predecessors; but they in a less degree approved of medicated ointments. These however they principally used in the cure of ulcerations. But incisions and burnings they admitted the least of all things. Some diseases also they cured by incantations. Pythagoras, however, thought that music greatly contributed to health, if it was used in a proper manner. The Pythagoreans likewise employed select sentences of Homer and Hesiod for the amendment of souls. But they thought it was necessary to retain and preserve in the memory things which they had learnt and heard; and that it was requisite to be furnished with disciplines and auditions, to as great an extent as there was an ability of learning and remembering; the former of these being the power by which knowledge is obtained, but the latter, the power by which it is preserved. Hence, they very much honored the memory, abundantly exercised, and paid great attention to it. In learning too, they did not dismiss what they were taught, till they had firmly comprehended the first rudiments of it; and they recalled to their memory what they had daily heard, after the following manner: A Pythagorean never rose from his bed till he had first recollected the transactions of the former day; and he accomplished this by endeavouring to remember what he first said, or heard, or ordered his domestics to do when he was rising, or what was the second and third thing which he said, heard, or commanded to be done. And the same method was adopted with respect to the remainder of the day. For again, he endeavoured to recollect who was the first person that he met, on leaving his house, or who was the second; and with whom he in the first, or second, or third place discoursed. And after the same manner he proceeded in other things. For he endeavoured to resume in his memory all the events of the whole day, and in the very same order in which each of them happened to take place. But if they had sufficient leisure after rising from sleep, they tried after the same manner to recollect the events of the third preceding day. And thus they endeavoured to exercise the memory to a great extent. For there is not any thing which is of greater importance with respect to science, experience and wisdom, than the ability of remembering. From these studies therefore, it happened that all Italy was filled with philosophers, and this place, which before was unknown, was afterwards on account of Pythagoras called Magna Græcia. Hence also it contained many philosophers, poets, and legislators. For the rhetorical arts, demonstrative reasonings, and the laws written by them, were transferred from Italy to Greece. Those likewise who make mention of physics, adduce as the principal physiologists Empedocles and the Elean Parmenides. Those too, who wish to cite sentences, pertaining to the conduct of human life, adduce for this purpose the conceptions of Epicharmus. And nearly all philosophers make use of these. Thus much therefore concerning the wisdom of Pythagoras, how in a certain respect he very much impelled all his auditors to the pursuit of it, as far as they were adapted to its participation, and how perfectly it was delivered by him.
Now the Pythagorean symbols were connected with the Barbarian philosophy in the most recondite way. For instance, the Samian counsels "not to have a...
(1) Now the Pythagorean symbols were connected with the Barbarian philosophy in the most recondite way. For instance, the Samian counsels "not to have a swallow in the house;" that is, not to receive a loquacious, whispering, garrulous man, who cannot contain what has been communicated to him. "For the swallow, and the turtle, and the sparrows of the field, know the times of their entrance," says the Scripture; and one ought never to dwell with trifles. And the turtle-dove murmuring shows the thankless slander of fault-finding, and is rightly expelled the house.
Chapter XI: Abstraction From Material Things Necessary in Order to Attain To the True Knowledge of God. (9)
It is not then without reason that in the mysteries that obtain among the Greeks, lustrations hold the first place; as also the layer among the...
(9) It is not then without reason that in the mysteries that obtain among the Greeks, lustrations hold the first place; as also the layer among the Barbarians. After these are the minor mysteries, which have some foundation of instruction and of preliminary preparation for what is to come after; and the great mysteries, in which nothing remains to be learned of the universe, but only to contemplate and comprehend nature and things.