The successor, however, of Pythagoras, is acknowledged by all men to (Part 1)

have been Aristæus, the son of Damophon the Crotonian, who existing at the same time as Pythagoras, was seven ages prior to Plato. Aristæus likewise, was not only thought worthy to succeed Pythagoras in his school, but also to educate his children, and marry his wife Theano, because he was eminently skilled in the Pythagoric dogmas. For Pythagoras himself is said to have taught in his school, forty years wanting one, and to have lived nearly one hundred years. But Aristæus, when much advanced in years, relinquished the school; and after him Mnesarchus succeeded, who was the son of Pythagoras. Bulagoras succeeded Mnesarchus, in whose time it happened that the city of the Crotonians was plundered. Gartydas the Crotonian succeeded Bulagoras, on his return from a journey which he had undertaken prior to the war. Nevertheless on account of the calamity of his country, he suffered so much anxiety, as to die prematurely through grief. But it was the custom with the rest of the Pythagoreans, when they became very old, to liberate themselves from the body as from a prison.

Moreover, some time after, Aresas Lucanus, being saved through certain strangers, undertook the management of the school; and to him came Diodorus Aspendius, who was received into the school, on account of the paucity of the Pythagoreans it contained. And in Heraclea, indeed, were Clinias and Philolaus; but at Metapontum, Theorides and Eurytus; and at Tarentum Archytas. It is also said that Epicharmus was one of the foreign auditors; but that he was not one of the school. Having however arrived at Syracuse, he abstained from philosophizing openly, on account of the tyranny of Hiero. But he inserted the conceptions of the men in metre, and published in comedies the occult dogmas of Pythagoras.

Of all the Pythagoreans, however, it is probable that many are unknown and anonymous. But the following are the names of those that are known and celebrated: Of the Crotonians, Hippostratus, Dymas, Ægon, Æmon, Sillus, Cleosthenes, Agelas, Episylus, Phyciadas, Ecphantus, Timæus, Buthius, Eratus, Itmæus, Rhodippus, Bryas, Evandrus, Myllias, Antimedon, Ageas, Leophron, Agylus, Onatus, Hipposthenes, Cleophron, Alcmæon, Damocles, Milon, Menon. Of the Metapontines, Brontinus, Parmiseus, Orestadas, Leon, Damarmenus, Æneas, Chilas, Melisias, Aristeas, Laphion, Evandrus, Agesidamus, Xenocades, Euryphemus, Aristomenes, Agesarchus, Alceas, Xenophantes, Thraseus, Arytus, Epiphron, Eiriscus, Megistias, Leocydes, Thrasymedes, Euphemus, Procles, Antimenes, Lacritus, Damotages, Pyrrho, Rhexibius, Alopecus, Astylus, Dacidas, Aliochus, Lacrates, Glycinus. Of the Agrigentines, Empedocles. Of the Eleatæ, Parmenides. Of the Tarentines, Philolaus, Eurytus, Archytas, Theodorus, Aristippus, Lycon, Hestiæus, Polemarchus, Asteas, Clinias, Cleon, Eurymedon, Arceas, Clinagoras, Archippus, Zopyrus, Euthynus, Dicæarchus, Philonidas, Phrontidas, Lysis, Lysibius, Dinocrates, Echecrates, Paction, Acusiladas, Icmus, Pisicrates, Clearatus.

Of the Leontines, Phrynichus, Smichias, Aristoclidas, Clinias, Abroteles, Pisyrrhydus, Bryas, Evandrus, Archemachus, Mimnomachus, Achmonidas, Dicas, Carophantidas. Of the Sybarites, Metopus, Hippasus, Proxenus, Evanor, Deanax, Menestor, Diocles, Empedus, Timasius, Polemæus, Evæus, Tyrsenus. Of the Carthaginians, Miltiades, Anthen, Odius, Leocritus. Of the Parians, Æetius, Phænecles, Dexitheus, Alcimachus, Dinarchus, Meton, Timæus, Timesianax, Amærus, Thymaridas. Of the Locrians, Gyptius, Xenon, Philodamus, Evetes, Adicus, Sthenonidas, Sosistratus, Euthynus, Zaleucus, Timares. Of the Posidonians, Athamas, Simus, Proxenus, Cranous, Myes, Bathylaus, Phædon. Of the Lucani, Ocellus and Occillus who were brothers, Oresandrus, Cerambus, Dardaneus, Malion. Of the Ægeans, Hippomedon, Timosthenes, Euelthon, Thrasydamus, Crito, Polyctor. Of the Lacones, Autocharidas, Cleanor, Eurycrates. Of the Hyperboreans, Abaris. Of the Rheginenses, Aristides, Demosthenes, Aristocrates, Phytius, Helicaon, Mnesibulus, Hipparchides, Athosion, Euthycles, Opsimus. Of the Selinuntians, Calais. Of the Syracusans, Leptines, Phintias, Damon. Of the Samians, Melissus, Lacon, Archippus, Glorippus, Heloris, Hippon, Of the Caulonienses, Callibrotus, Dicon, Nastas, Drymon, Xentas. Of the Phliasians, Diocles, Echecrates, Polymnastus, Phanton. Of the Sicyonians, Poliades, Demon, Sostratius, Sosthenes. Of the Cyrenæans, Prorus, Melanippus, Aristangelus, Theodorus. Of the Cyziceni, Pythodorus, Hipposthenes, Butherus, Xenophilus. Of the Catanæi, Charondas, Lysiades. Of the Corinthians, Chrysippus. Of the Tyrrhenians, Nausitheus. Of the Athenians, Neocritus. And of Pontus, Lyramnus. In all, two hundred and eighteen. [And these, indeed, are not all the Pythagoreans, but of all of them they are the most famous.[56]]

But the most illustrious Pythagorean women are Timycha, the wife of Myllias the Crotonian. Philtis, the daughter of Theophrius the Crotonian, Byndacis, the sister of Ocellus and Occillus, Lucanians. Chilonis, the daughter of Chilon the Lacedæmonian. Cratesiclea the Lacedæmonian, the wife of Cleanor the Lacedæmonian. Theano, the wife of Brontinus of Metapontum. Mya, the wife of Milon the Crotonian. Lasthenia the Arcadian. Abrotelia, the daughter of Abroteles the Tarentine. Echecratia the Phliasian. Tyrsenis, the Sybarite. Pisirrhonde, the Tarentine. Nisleadusa, the Lacedæmonian. Bryo, the Argive. Babelyma, the Argive. And Cleæchma, the sister of Autocharidas the Lacedæmonian. In all seventeen.

FRAGMENTS OF THE ETHICAL WRITINGS OF CERTAIN PYTHAGOREANS.

FROM HIPPODAMUS, THE THURIAN, IN HIS TREATISE ON FELICITY.

Of animals, some are the recipients of felicity, but others are incapable of receiving it. And those animals, indeed, are receptive of it that have reason. For felicity cannot subsist without virtue; and virtue is first ingenerated in that which possesses reason. But those animals are incapable of receiving felicity, that are destitute of reason. For neither can that which is deprived of sight, receive the work or the virtue of sight; nor can that which is destitute of reason, be the recipient of the work, or the virtue of that which possesses reason. With respect to felicity, however, and virtue, the former is as a work, but the latter as a certain art, to that which possesses reason. But of animals which possess reason, some are self-perfect, and these are such as are perfect through themselves, and are indigent of nothing external, either to their existence, or to their existing well and beautifully. And such, indeed, is God. Those animals, however, are not self-perfect, which are not perfect through themselves, but are in want of external causes to their perfection. And man is an animal of this kind. Of animals, therefore, which are not self-perfect, some indeed are perfect, but others are not perfect. And those indeed are perfect which derive their subsistence both from their own [proper] causes, and from external causes. And they derive it indeed from their own causes, because they obtain from thence both an excellent nature and deliberate choice; but from external causes, because they receive from thence equitable legislation and good rulers. But the animals which are not perfect, are either such as participate of neither of these, or of some one of these, or whose souls are entirely depraved. And such will the man be who is of a description different from the above.

Moreover, of perfect men there are two differences. For some of them are naturally perfect; but others are perfect according to life. And those indeed alone that are good, are naturally perfect. But these are such as possess virtue. For the virtue of the nature of every thing is a summit and perfection. Thus the virtue of the eye is the summit and perfection of the nature of the eye. But the virtue of man is the summit and perfection of the nature of man. Those also are perfect according to life, who are not only good, but happy. For felicity, indeed, is the perfection of human life. But human, life is a system of actions: and: felicity gives completion to the actions. Virtue also and fortune give completion to actions; virtue, indeed, according to use; but good fortune according to prosperity. God therefore is neither good through learning virtue from any one, nor is he happy through being attended by good fortune. For he is good by nature, and happy by nature, and always was and will be, and will never cease to be, such; since he is incorruptible, and naturally good. But man is neither happy nor good by nature, but requires discipline and providential care. And in order to become good, indeed; he requires virtue; but in order to become happy, good fortune. On this account, human felicity summarily consists of these two things, viz. of praise, and the predication of beatitude. Of praise indeed, from virtue; but of the predication of beatitude, from prosperity. It possesses virtue therefore, through a divine destiny, but prosperity through a mortal allotment. But mortal are suspended from divine concerns, and terrestrial from such as are celestial. Things subordinate, also, are suspended from such as are more excellent. And on this account, the good man who follows the Gods is happy; but he who follows mortal natures is miserable. For to him who possesses wisdom, prosperity is good and useful. It is good, indeed, through his knowledge of the use of it; but it is useful, through his co-operating with actions. It is beautiful, therefore, when prosperity is present with intellect, and when sailing as it were with a prosperous wind, actions are performed looking to virtue; just as a pilot looks to the motions of the stars. For thus, he who does this will not only follow God, but will also co-arrange human with divine good.

This also is evident, that [human] life becomes different from disposition and action. But it is necessary that the disposition should be either worthy or depraved; and that action should be attended either with felicity or misery. And a worthy disposition, indeed, participates of virtue; but a bad one of vice. With respect to actions, also, those that are prosperous are attended with felicity; (for they derive their completion through looking to reason) but those that are unfortunate, are attended with misery; for they are frustrated of the end. Hence, it is not only necessary to learn virtue, but also to possess and use it, either for security, or increase, [of property when it is too little] or, which is the greatest thing of all, for the emendation of families and cities. For it is not only necessary to have the possession of things beautiful, but also the use of them. All these things, however, will take place, when a man lives in a city that uses equitable laws. And these, indeed, I say, are what is called the horn of Amalthea. For all things are contained in equitable legislation. And without this, the greatest good of human nature can neither be effected, nor, when effected, be increased and become permanent. For this comprehends in itself virtue, and the tendency to virtue; because excellent natures are generated according to it. Manners, likewise, studies, and laws, subsist through this in the most excellent condition; and besides these, rightly-deciding reason, and piety and sanctity towards the most honorable natures. So that it is necessary that he who is to be happy, and whose life is to be prosperous, should live and die in a country governed by equitable laws, relinquishing all illegality. At the same time what has been said is attended with necessity. For man is a part of society, and hence from the same reasoning, will become entire and perfect, if he not only associates with others, but associates in a becoming manner. For some things are naturally adapted to subsist in many things, and not in one thing; others in one thing, and not in many; but others both in many, and in one thing, and on this account in one thing, because in many. For harmony, indeed, and symphony and number, are naturally adapted to be ingenerated in many things. For nothing which makes a whole from these parts, is sufficient to itself.[57] But acuteness of seeing and hearing, and swiftness of feet, subsist in one thing alone. Felicity, however, and the virtue of soul, subsist both in one thing and in many, in a whole, and in the universe. And on this account they subsist in one thing, because they also subsist in many: and they subsist in many, because they are inherent in a whole and in the universe. For the orderly distribution of the whole nature of things methodically arranges each particular. And the orderly distribution of particulars gives completion to the whole of things and to the universe. But this follows from the whole being naturally prior to the part, and not the part to the whole. For if the world was not, neither the sun nor the moon would exist, nor the planets, nor the fixed stars. But the world existing, each of these also exists.

The truth of this also may be seen in the nature itself of animals. For if animal had no existence, there would neither be eye, nor mouth, nor ear. But animal existing, each of these likewise exists. As the whole, however, is to the part, so is the virtue of the whole to the virtue of the part. For harmony not existing, and a divine inspection of mundane affairs, things which are adorned would no longer be able to remain in an excellent condition. And equitable legislation not existing in a city, it is not possible for a citizen to be good or happy. Health, likewise, not existing in the animal, it is not possible for the foot or the hand to be strong and healthy. For harmony indeed is the virtue of the world; equitable legislation is the virtue of a city; and health and strength are the virtue of the body. Each of the parts likewise in these things is co-arranged on account of the whole and the universe. For the eyes see on account of the whole body. And the other parts and members are co-arranged for the sake of the whole [body] and the universe.

FROM EURYPHAMUS, IN HIS TREATISE CONCERNING HUMAN LIFE.

The perfect life of man falls short indeed of the life of God, because it is not self-perfect, but surpasses that of irrational animals, because it participates of virtue and felicity. For neither is God in want of external causes; since being naturally good and happy, he is perfect from himself; nor any irrational animal. For brutes being destitute of reason, they are also destitute of the sciences pertaining to actions. But the nature of man partly consists of his own proper deliberate choice, and partly is in want of the assistance derived from divinity. For that which is capable of being fashioned by reason, which has an intellectual perception of things beautiful and base, can erectly extend itself from earth, and look to heaven, and can perceive with the eye of intellect the highest Gods,—that which is capable of all this, participates likewise of assistance from the Gods. But in consequence of possessing will, deliberate choice, and a principle of such a kind in itself as enables it to study virtue, and to be agitated by the storms of vice, to follow, and also to apostatize from the Gods,—it is likewise able to be moved by itself. Hence it is a partaker of praise and blame, honor and ignominy, partly from the Gods and partly from men, according as it zealously applies itself either to virtue or vice. For the whole reason of the thing is as follows: Divinity introduced man into the world as a most exquisite animal, to be reciprocally honored with himself, and _as the eye of the orderly distribution of things_. Hence also man gave names to things, becoming himself the character of them. He likewise invented letters, procuring through these a treasury of memory. And he imitated the established order of the universe, co-harmonizing by judicial proceedings and laws the communion of cities. For no work is performed by men more decorous to the world, or more worthy of the notice of the Gods, than the apt constitution of a city governed by good laws, and an orderly distribution of laws and a polity. For though each man himself by himself is nothing, and is not himself by himself sufficient to lead a life conformable to the common concord, and apt composition of a polity, yet he is well adapted to the whole and to the perfect system of society. For the life of man is the image of a lyre accurately [harmonized,] and in every respect perfect. For every lyre requires these three things, apparatus, apt composition, and a certain musical contrectation. And apparatus indeed, is a preparation of all the appropriate parts; viz. of the chords, and of the instruments which co-operate with the well-sounding and striking of the lyre. But the apt composition is the commixture of the sounds with each other. And the musical contrectation is the motion of these conformably to the apt composition. Thus also human life requires these same three things. Apparatus, indeed, which is the completion of the parts of life. But the parts of life are the goods of the body, of riches, renown, and friends. The apt composition is the co-arrangement of these according to virtue and the laws. And the musical contrectation is the commixture of these conformably to virtue and the laws; virtue sailing with a prosperous wind, and having nothing externally resisting it. For felicity does not consist in being driven from the purpose of voluntary intentions, but in obtaining them; nor in virtue being without attendants and ministrant aids; but in completely possessing its own proper powers which are adapted to actions. For man is not self-perfect, but imperfect. And he becomes perfect, partly from himself, and partly from an external cause. He is likewise perfect, either according to nature, or according to life. And he is perfect indeed according to nature, if he becomes a good man. For the virtue of each thing is the summit and perfection of the nature of that thing. Thus the virtue[58] of the eyes is the summit and perfection of the nature of the eyes; and this is also true of the virtue of the ears. Thus too, the virtue of man is the summit and perfection of the nature of man. But man is perfect according to life, when he becomes happy. For felicity is the perfection and completion of human goods. Hence, again, virtue and prosperity become the parts of the life of man. And virtue, indeed, is a part of him so far as he is soul, but prosperity so far as he is connected with body. But both are parts of him so far as he is an animal. For it is the province of virtue to use in a becoming manner the goods which are conformable to nature; but of prosperity to impart the use of them. And the former, indeed, imparts deliberate choice and right reason; but the latter, energies and actions. For to wish what is beautiful in conduct and to endure things of a dreadful nature, is the proper business of virtue. But it is the work of prosperity to render deliberate choice successful, and to cause actions to arrive at the [desired] end. For the general conquers in conjunction with virtue and good fortune. The pilot sails well in conjunction with art and prosperous winds. The eye sees well in conjunction with acuteness of vision[59] and light. And the life of man becomes most excellent through virtue itself, and prosperity.

FROM HIPPARCHUS, IN HIS TREATISE ON TRANQUILLITY.

Since men live but for a very short period, if their life is compared with the whole of time, they will make a most beautiful journey as it were, if they pass through life with tranquillity. This however they will possess in the most eminent degree, if they accurately and scientifically know themselves, viz. if they know that they are mortal and of a fleshly nature, and that they have a body which is corruptible and can be easily injured, and which is exposed to every thing most grievous and severe, even to their latest breath. And in the first place, let us direct our attention to those things which happen to the body; and these are pleurisy, inflammation of the lungs, phrensy, gout, stranguary, dysentery, lethargy, epilepsy, putrid ulcers, and ten thousand other diseases. But the diseases which happen to the soul are much greater and more dire than these. For all the iniquitous, evil, illegal, and impious conduct in the life of man, originates from the passions of the soul. For through preternatural immoderate desires many have become subject to unrestrained impulses, and have not refrained from the most unholy pleasures, arising from being connected with daughters or even mothers. Many also have been induced to destroy their fathers, and their own offspring. But what occasion is there to be prolix in narrating externally impending evils, such as excessive rain, drought, violent heat and cold; so that frequently from the anomalous state of the air, pestilence and famine are produced, and all-various calamities, and whole cities become desolate? Since therefore many such-like calamities are impendent, we should neither be elevated by the possession of corporeal goods, which may rapidly be consumed by the incursions of a small fever, nor with what are conceived to be prosperous external circumstances, which frequently in their own nature perish more rapidly than they accede. For all these are uncertain and unstable, and are found to have their existence in many and various mutations; and no one of them is permanent, or immutable, or stable, or indivisible. Hence well considering these things, and also being persuaded, that if what is present and is imparted to us, is able to remain for the smallest portion of time, it is as much as we ought to expect; we shall then live in tranquillity and with hilarity, generously bearing whatever may befal us.

Now, however, many previously conceiving in imagination, that all that is present with, and imparted to them by nature and fortune, is better than it is, and not thinking it to be such as it is in reality, but such as it is able to become when it has arrived at the summit of excellence, they burden the soul with many great, nefarious, and stupid evils, when they are suddenly deprived of [these evanescent goods]. And thus it happens to them that they lead a most bitter and miserable life. But this takes place in the loss of riches, or the death of friends or children, or in the privation of certain other things, which are conceived by them to be most honorable possessions. Afterwards, weeping and lamenting, they assert of themselves, that they alone are most unfortunate and miserable, not remembering that these things have happened, and even now happen, to many others; nor are they able to understand the life of those that are now in existence, and of those that have lived in former times, nor to see in what great calamities and waves of evils, many of the present time are, and of the past have been involved. Considering with ourselves therefore, that many having lost their property, have afterwards on account of this very loss been saved, since hereafter they might either have fallen into the hands of robbers, or into the power of a tyrant; that many also who have loved certain persons, and have been benevolently disposed towards them in the extreme, have afterwards greatly hated them;—considering all these things, which have been delivered to us by history, and likewise learning that many have been destroyed by their children, and by those that they have most dearly loved; and comparing our own life with that of those who have been more unhappy than we have been, and taking into account human casualties [in general] and not only such as happen to ourselves, we shall pass through life with greater tranquillity. For it is not lawful that he who is himself a man, should think the calamities of others easy to be borne, and not his own, since he sees that the whole of life is naturally exposed to many calamities. Those however, that weep and lament, besides not being able to recover what they have lost, or recal to life those that are dead, impel the soul to greater perturbations, in consequence of its being filled with much depravity. It is requisite therefore, that, being washed and purified, we should by all possible contrivances wipe away our inveterate stains by the reasonings of philosophy. But we shall accomplish this by adhering to prudence and temperance, being satisfied with our present circumstances, and not aspiring after many things. For men who procure for themselves a great abundance [of external goods], do not consider that the enjoyment of them terminates with the present life. We ought therefore to use the goods that are present; and by the assistance of the beautiful and venerable things of which philosophy is the source, we shall be liberated from the insatiable desire of depraved possessions.

FROM ARCHYTAS, IN HIS TREATISE CONCERNING THE GOOD AND HAPPY MAN.

In the first place, it is requisite to know this, that the good man is not immediately happy from necessity; but that this is the case with the man who is both happy and good. For the happy man obtains both praise and the predication of blessedness; but the good man far as he is good obtains praise alone. The praise also arises from virtue; but the predication of blessedness from good fortune. And the worthy man, indeed, becomes such from the goods which he possesses; but the happy man is sometimes deprived of his felicity. For the power of virtue is perfectly free, but that of felicity is subject to restraint. For long-continued diseases of the body, and deprivations of the senses, cause the florishing condition of felicity to waste away. God, however, differs from a good man in this, that God indeed not only possesses virtue genuine and purified from every mortal passion, but his power also is unwearied and unrestrained, as being adapted to the most venerable and magnificent production of eternal works. Man indeed, by the mortal condition of his nature, not only enjoys this power and this virtue in a less degree; but sometimes through the want of symmetry[60] in the goods which he possesses, or through powerful custom, or a depraved nature, or through many other causes, he is unable to possess in the extreme a good which is perfectly true.

Since therefore of goods, some are eligible for their own sakes, and not for the sake of another thing; but others are eligible for the sake of something else, and not on their own account; there is also a certain third species of goods, which is eligible both on its own account, and for the sake of another thing. What, therefore, is the good which is eligible on its own account, and not for the sake of something else? It is evident that it is felicity. For we aspire after other things for the sake of this, but we do not desire this for the sake of any thing else. Again, what are those goods which we desire indeed for the sake of something else, but which we do not desire on their own account? It is evident they are such things as are useful, and pre-eligible goods, which become the causes of our obtaining things which are eligible [on their own account]; such as corporeal labors, exercise, and frictions which are employed for the sake of a good habit of body; and also reading, meditation, and study, which are undertaken for the sake of things beautiful and virtue. But what are the things which are eligible on their own account, and also for the sake of something else? They are such things as the virtues, and the habits of them, deliberate choice and actions, and whatever adheres to that which is really beautiful. Hence, that indeed which is eligible on its own account, and not on account of something else, is a solitary good and one. But that which is eligible for its own sake, and for the sake of another thing, is triply divided. For one part of it indeed subsists about the soul; another about the body; and another pertains to externals. And that which is about the soul, consists of the virtues of the soul; that which is about the body, of the virtues of the body; and that which pertains to externals, consists of friends, glory, honor, and wealth. There is likewise a similar reasoning with respect to that which is eligible on account of something else. For one part of it indeed is effective of the goods of the soul; another part of it, of the goods of the body; and that which pertains to externals is the cause of wealth, glory, honor, and friendship.

That virtue however happens to be eligible for its own sake, is evident from the following considerations. For if things which are naturally subordinate, I mean the goods of the body, are eligible for their own sakes, but the soul is better than the body, it is evident that we love the goods of the soul on their own account, and not for the sake of the consequences with which they are attended.

There are likewise three definite times of human life; one of prosperity; another of adversity; and a third subsisting between these. Since therefore, he is a good man who possesses and uses virtue; but he uses it according to three seasons; for he uses it either in adversity, or in prosperity, or in the time between these; and in adversity indeed he is unhappy, but in prosperity happy, and in the middle condition, he is not happy [though he is not miserable];—this being the case, it is evident that felicity is nothing else than the use of virtue in prosperity. We now speak, however, of the felicity of man. But man is not soul alone, but is likewise body. For the animal which consists of both, and that which is constituted from things of this kind is man. For though the body is naturally adapted to be the instrument of the soul, yet this as well as the soul is a part of man [so far as he is an animal.[61]] Hence of goods also, some are the goods of man, but others, of the parts of man. And the good of man, indeed, is felicity. But of the parts of man, the good of the soul is prudence, fortitude, justice, and temperance. And the good of the body is beauty, health, a good corporeal habit, and excellence of sensation. With respect to externals however, wealth, glory, honor, and nobility, are naturally adapted to be attendant on man, and to follow precedaneous goods. The less, also, are ministrant to the greater goods. Thus friendship, glory, and wealth, are ministrant both to the body and the soul; but health, strength, and excellence of sensation, are subservient to the soul; and prudence [i. e. wisdom] and justice are ministrant to the intellect of the soul. _Intellect, however, is the satellite of Deity._ For God is the most excellent, and the leader and ruler of all things. And for the sake of these, it is necessary that other goods should be present. For the general, indeed, is the leader of the army; the pilot, of the ship; God, of the world; and intellect, of soul. But prudence is the leader of the felicity pertaining to life. For prudence is nothing else than the science of the felicity which respects human life, or the science of the goods which naturally pertain to man.

And the felicity, indeed, and life of God are most excellent; but the felicity of man consists of science, and virtue, and in the third place of prosperity[62] corporalized. But I mean by science, the wisdom pertaining to things divine and demoniacal; and by prudence, the wisdom pertaining to human concerns, and the affairs of life. For it is requisite to call the virtues which employ reasonings and demonstrations, sciences. But it is fit to denominate virtue ethical, and the best habit of the irrational part of the soul, according to which we are said to possess certain qualities pertaining to manners; viz. by which we are called liberal, just, and temperate. But it is requisite to call prosperity, the preter-rational presence of goods, [or a supply of goods without the assistance of reason,] and which is not effected on account of it. Since therefore virtue and science are in our power, but prosperity is not; and since also felicity consists in the contemplation and performance of things [truly] beautiful; but contemplations and actions, when they are not prosperous, are attended with ministrant offices and necessity, but when they proceed in the right path, produce delight and felicity; and these things are effected in prosperity;—this being the case, it is evident that _felicity is nothing else than the use of virtue in prosperity_. Hence the good man is disposed with respect to prosperity, in the same manner as he who has an excellent and robust body. For such a one is able to endure heat and cold, to raise a great burden, and to sustain easily many other molestations.

Since therefore felicity is the use of virtue in prosperity, we must speak concerning virtue and prosperity, and in the first place concerning prosperity. For of goods, some indeed do not admit of excess, and this is the case with virtue. For there is not any virtue which is excessive, nor any worthy man who is beyond measure good. For virtue has the fit and becoming for a rule, and is the habit of the decorous in practical concerns. But prosperity receives excess and diminution. And when it is excessive indeed, it generates certain vices, and removes a man from his natural habit; so that he frequently through this opposes the constitution of virtue. And this is not only the case with prosperity, but many other causes likewise may effect the same thing. For it is by no means proper to wonder, that some of those who play on the pipe should be arrogant men, who, bidding farewell to truth, ensnare by a certain false imagination those who are unskilled in music; and to disbelieve that a thing of this kind does not take place in virtue. For the more venerable a thing is, so much the more numerous are those that pretend to the possession of it. For there are many things which distort the habit and form of virtue; some of which are insidious arts and affectation; others are kindred physical passions, which sometimes produce an indecorum[63] contrary to the true disposition [of virtue.] This also is effected through manners in which men have been nurtured for a long time; and it not unfrequently happens that it is produced through youth or old age, and through prosperity or adversity; and by other very numerous ways. Hence, we ought never to wonder, if sometimes a distorted judgment is formed of all things, the true disposition being changed.[64] Thus we see that the most excellent carpenter frequently errs in the works which are the subjects of his art; and this is also the case with the general, the pilot, the painter, and in short, with all artists. And yet at the same time we do not deprive them of the habit which they possess. For as we do not rank among bad men him who at certain times acts intemperately, or unjustly, or timidly; so neither do we place him in the class of good men, who does something right in things pertaining to temperance, or justice, or fortitude. But it must be said that the conduct of bad men in things of this kind is casually right, and that good men [sometimes] err. A true judgment however [in these instances] is to be formed, not by looking to a certain occasion, or to a certain extent of time, but to the whole of life. But as indigence and excess are injurious to the body, yet excess and what are called superfluities, are naturally adapted to produce greater diseases [than those caused by indigence]; thus also prosperity or adversity injure the soul, when they unseasonably happen; yet that which is called by all men prosperity, is naturally adapted to produce greater diseases [than adversity], since it intoxicates like wine the reasoning power of good men.

Hence it is more difficult to bear prosperity in a becoming manner than adversity. For all men when they continue in adversity, are seen for the most part to be moderate and orderly in their manners; but in prosperity they are brave, magnificent, and magnanimous [when they bear it in a becoming manner]. For adversity has the power of contracting and depressing the soul; but prosperity, on the contrary, elevates and expands it. Hence all those that are unfortunate, are in their manners cautious and prudent; but those that are fortunate are insolent and confident. But the boundary of prosperity, is that which a good man would deliberately choose to co-operate with him in his own proper actions; just as the [proper] magnitude of a ship, and the [proper] magnitude of a rudder, are such as will enable a good pilot to sail over a great extent of sea, and to accomplish a great voyage. An excess of prosperity, however, is not naturally adapted to be vanquished by, but to vanquish the soul. For as a [very] splendid light causes an obscuration of sight in the eyes; thus also excessive prosperity darkens the intellect of the soul. And thus much may suffice concerning prosperity.

FROM THEAGES, IN HIS TREATISE ON THE VIRTUES.

The order of the soul subsists in such a way, that one part of it is the reasoning power, another is anger, and another is desire. And the reasoning power, indeed, has dominion over knowledge; anger over impetus; and desire intrepidly rules over the appetitions of the soul. When therefore these three parts pass into one, and exhibit one appropriate composition, then virtue and concord are produced in the soul. But when they are divulsed from each other by sedition, then vice and discord are produced in the soul. It is necessary, however, that virtue should have these three things, viz. reason, power, and deliberate choice. The virtue, therefore, of the reasoning power of the soul is prudence; for it is a habit of judging and contemplating. But the virtue of the irascible part, is fortitude; for it is a habit of resisting, and enduring things of a dreadful nature. And the virtue of the epithymetic or appetitive part is temperance; for it is a moderation and detention of the pleasures which arise through the body. But the virtue of the whole soul is justice. For men indeed become bad, either through vice, or through incontinence, or through a natural ferocity. But they injure each other, either through gain, or through pleasure, or through ambition. Vice, therefore, more appropriately belongs to the reasoning part of the soul. For prudence indeed is similar to art; but vice to pernicious art. For it invents contrivances for the purpose of acting unjustly. But incontinence rather pertains to the appetitive part of the soul. For continence consists in subduing, and incontinence in not subduing pleasures. And ferocity pertains to the irascible part of the soul. For when some one, through acting ill from desire, is gratified not as a man should be, but as a wild beast, then a thing of this kind is denominated ferocity. The effects also of these dispositions are consequent to the things for the sake of which they are performed. For avarice is consequent to vice; but vice is consequent to the reasoning part of the soul. And ambition, indeed, follows from the irascible part; and this becoming excessive, generates ferocity. Again, pleasure pertains to the appetitive part; but this being sought after more vehemently, generates incontinence. Hence, since the acting unjustly is produced from so many causes, it is evident that acting justly is effected through an equal number of causes. For virtue, indeed, is naturally beneficent and profitable; but vice is productive of evil, and is noxious.

Since, however, of the parts of the soul, one is the leader, but the other follows, and the virtues and the vices subsist about these, and in these; it is evident that with respect to the virtues also, some are leaders, others are followers, and others, are composed from these. And the leaders, indeed, are such as prudence; but the followers are such as fortitude and temperance; and the composites from these, are such as justice. The passions, however, are the matter of virtue; for the virtues subsist about, and in these. But of the passions, one is voluntary, but another is involuntary. And the voluntary, indeed, is pleasure; but the involuntary is pain. Men also, who have the political virtues, give intension and remission to these, co-harmonizing the other parts of the soul, to that part which possesses reason. But the boundary of this co-adaptation, is for intellect not to be prevented from accomplishing its proper work, either by indigence, or excess. For that which is less excellent, is co-arranged for the sake of that which is more excellent. Thus in the world, every part that is always passive, subsists for the sake of that which is always moved. And in the conjunction of animals, the female subsists for the sake of the male. For the latter sows, generating a soul; but the former alone imparts matter to that which is generated. In the soul however, the irrational subsists for the sake of the rational part. For anger and desire are co-arranged in subserviency to the first part of the soul; the former as a certain satellite, and guardian of the body; but the latter as a dispensator and provident curator of necessary wants. But intellect being established in the highest summit of the body, and having a prospect in that which is on all sides splendid and transparent,[65] investigates the wisdom of [real] beings. And this is the work of it according to nature, viz. having investigated, and obtained the possession [of truth] to follow those beings who are more excellent and more honorable than itself. For _the knowledge of things divine and most honorable, is the principle, cause, and rule of human blessedness_.

FROM METOPUS, IN HIS TREATISE CONCERNING VIRTUE.

The virtue of man is the perfection of the nature of man. For every being becomes perfect, and arrives at the summit of excellence according to the proper nature of its virtue. Thus the virtue of a horse, is that which leads the nature of a horse to its summit. And the same reasoning is applicable to the several parts of a thing. Thus the virtue of the eyes is acuteness of vision: and this in the nature of the eyes is the summit. The virtue of the ears also, is acuteness of hearing: and this is the summit of the nature of the ears. Thus too, the virtue of the feet is swiftness: and this is the summit of the nature of the feet. It is necessary however, that every virtue should have these three things, reason, power, and deliberate choice; reason indeed, by which it judges and contemplates; power, by which it prohibits and vanquishes; and deliberate choice, by which it loves and delights in [what is proper]. To judge therefore, and contemplate, pertain to the dianoetic part of the soul; but to prohibit and vanquish are the peculiarity of the irrational[66] part of the soul; and to love and delight in what is proper, pertain to both the rational and irrational parts. For deliberate choice consists of dianoia [or the discursive energy of reason] and appetite. Dianoia therefore, belongs to the rational, but appetite to the irrational part of the soul. The multitude however, of all the virtues, may be perceived from the parts of the soul; and in a similar manner the generation and nature of virtue. For of the parts of the soul, there are two that rank as the first, viz. the rational and the irrational parts. And the rational part indeed, is that by which we judge and contemplate; but the irrational part is that by which we are impelled and desire. These however, are either concordant or discordant with each other. But the contest and dissonance between them, are produced through excess and defect. It is evident therefore, that when the rational vanquishes the irrational part of the soul, endurance and continence are produced; and that when the former leads, and the latter follows, and both accord with each other, then virtue is generated. Hence, endurance and continence are generated accompanied with pain; but endurance resists pain, and continence pleasure. Incontinence however, and effeminacy, neither resist nor vanquish [pleasure]. And on this account it happens that men fly from good through pain, but reject it through pleasure. Praise likewise, and blame, and every thing beautiful in human conduct are produced in these parts of the soul. And in short, the nature of virtue derives its subsistence after this manner.

The species however, and the parts of it, may be surveyed as follows: Since there are two parts of the soul, the rational and the irrational; the latter is divided into the irascible and appetitive. And the rational part, indeed, is that by which we judge and contemplate; but the irrational part is that by which we are impelled and desire. And of this, that which is as it were adapted to defend us, and revenge incidental molestations, is denominated the irascible part; but that which is as it were orectic of, and desires to preserve the proper constitution of the body, is the appetitive part. It is evident therefore, that the multitude of the virtues, their differences, and their peculiarities, follow conformably to these parts of the soul.

FROM CLINIAS.

Every virtue is perfected, as was shown by us in the beginning, from reason, deliberate choice, and power. Each of these, however, is not by itself a part of virtue, but the cause of it. Such therefore, as have the intellective and gnostic part of virtue,[67] are denominated skilful and intelligent; but such as have the ethical and pre-elective part of it, are denominated useful and equitable.[68] Since however, man is naturally adapted to act unjustly from exciting causes; and these are three, the love of pleasure in corporeal enjoyments; avarice, in the accumulation of wealth; and ambition, in surpassing those that are equal and similar to him;—this being the case, it is necessary to know, that it is possible to oppose to these such things as procure fear, shame, and desire in men; viz. fear through the laws, shame through the Gods, and desire through the energies of reason. Hence, it is necessary that youth should be taught from the first to honor the Gods and the laws. For from these, it will be manifest, that every human work, and every kind of human life, by the participation of sanctity and piety, will sail prosperously [over the sea of generation].

FROM THEAGES, IN HIS TREATISE ON THE VIRTUES.

The principles of all virtue are three; knowledge, power, and deliberate choice. And knowledge indeed, is that by which we contemplate and form a judgment of things; power is as it were a certain strength of the nature[69] from which we derive our subsistence, and is that which gives stability to our actions; and deliberate choice is as it were certain hands of the soul by which we are impelled to, and lay hold on the objects of our choice. The order of the soul also subsists as follows: One part of it is the reasoning power, another part is anger, and another is desire. And the reasoning power indeed, is that which has dominion over knowledge; anger is that which rules over the ardent impulses of the soul; and desire is that which willingly rules over appetite. When therefore, these three pass into one, so as to exhibit one co-adaptation, then virtue and concord are produced in the soul; but when they are seditious, and divulsed from each other, then vice and discord are generated in the soul. And when the reasoning power prevails over the irrational parts of the soul, then endurance and continence are produced; endurance indeed, in the retention of pains; but continence in the abstinence from pleasures. But when the irrational parts of the soul prevail over the reasoning power, then effeminacy and incontinence are produced; effeminacy indeed, in flying from pain; but incontinence, in the being vanquished by pleasures. When however, the better part of the soul governs, but the less excellent part is governed; and the former leads, but the latter follows, and both consent, and are concordant with each other, then virtue and every good are generated in the whole soul. When likewise the appetitive follows the reasoning part of the soul, then temperance is produced; but when this is the case with the irascible part, fortitude is produced; and when it takes place in all the parts of the soul, then justice is the result. For justice is that which separates all the vices and all the virtues of the soul from each other. And justice is a certain established order of the apt conjunction of the parts of the soul, and perfect and supreme virtue. For every good is contained in this; but the other goods of the soul cannot subsist without this. Hence justice possesses great strength both among Gods and men. For this virtue contains the bond by which the whole and the universe are held together, and also by which Gods and men are connected. Justice therefore, is said to be Themis among the celestial, but Dice among the terrestrial Gods; and Law among men. These assertions however, are indications and symbols, that justice is the supreme virtue. Hence virtue, when it consists in contemplating and judging, is called prudence; when in sustaining things of a dreadful nature, it is denominated fortitude; when in restraining pleasure, temperance; and when in abstaining from gain, and from injuring our neighbours, justice.

Moreover, the arrangement of virtue according to right reason, and the transgression of it contrary to right reason, produce [in the former case] a tendency to the decorous as the final mark, and [in the latter] the frustration of it. The decorous however, is that which ought to be. But this does not require either addition or ablation; since it is that which it is requisite to be. But of the indecorous there are two species; one of which is excess, and the other defect. And excess indeed, is more, but deficiency is less, than is decorous. Virtue also, is a certain habit of the decorous. Hence it is directly, both a summit and a medium. For thus, things that are decorous are both media and summits. They are media indeed, because they fall between excess and deficiency; but they are summits, because they do not require either addition or ablation. For they are the very things themselves which they ought to be.

Since however, the virtue of manners is conversant with the passions, but of the passions pleasure and pain are supreme, it is evident that virtue does not consist in extirpating the passions of the soul, pleasure and pain, but in co-harmonizing them. For neither does health, which is a certain apt mixture of the powers of the body, consist in expelling the cold and the hot, the moist and the dry; but in these being [appropriately] mingled together. For it is as it were, a certain symmetry of these. Thus too, in music, concord does not consist in expelling the sharp and the flat; but when these are co-harmonized, then concord is produced, and dissonance is exterminated. In a similar manner, the hot and the cold, the moist and the dry, being harmoniously mingled together, health is produced, and disease destroyed. But when anger, and desire are co-harmonized, the vices and the [other] passions are extirpated, and the virtues and manners are ingenerated. Deliberate choice however, in beautiful conduct, is the greatest peculiarity of the virtue of manners. For it is possible to use reason and power without virtue; but it is not possible to use deliberate choice without it. For deliberate choice indicates the dignity of manners. Hence also, the reasoning power subduing _by force_ anger and desire, produces continence and endurance. And again, when the reasoning power is violently dethroned by the irrational parts, then incontinence and effeminacy are produced. Such dispositions however, of the soul as these, are half-perfect virtues, and half-perfect vices. For the reasoning power of the soul is [according to its natural subsistence] in a healthy, but the irrational parts are in a diseased condition. And so far indeed, as anger and desire are governed and led by the rational part of the soul, continence and endurance become virtues; but so far as this is effected by violence, and not voluntarily, they become vices. For it is necessary that virtue should perform such things as are fit, not with pain, but with pleasure. Again, so far as anger and desire govern the reasoning power, effeminacy and incontinence are produced, which are certain vices. But so far, as they gratify the passions with pain, knowing that they are erroneous, in consequence of the eye of the soul being sane,—so far as this is the case, they are not vices. Hence, it is evident that virtue must necessarily perform what is fit voluntarily; that which is involuntary indeed, not being without pain and fear; and that which is voluntary, not subsisting without pleasure and delight.

By division also it will at the same time be found that this is the case. For knowledge and the perception of things, are the province of the rational part of the soul; but power pertains to the irrational part. For not to be able to resist pain, or to vanquish pleasure, is the peculiarity of the irrational part of the soul. But deliberate choice subsists in both these, viz. in the rational; and also in the irrational part. For it consists of dianoia and appetite; of which, dianoia indeed, pertains to the rational, but appetite to the irrational part. Hence every virtue consists in a co-adaptation of the parts of the soul; and both will and deliberate choice, entirely subsist in virtue.

Universally therefore, virtue is a certain co-adaptation of the irrational parts of the soul to the rational part. Virtue however, is produced through pleasure and pain receiving the boundary of that which is fit. For true virtue is nothing else than the habit of that which is fit. But the fit, or the decorous, is that which ought to be; and the unfit, or indecorous, is that which ought not to be. Of the indecorous however, there are two species, viz. excess and defect. And excess indeed, is more than is fit; but defect is less than is fit. But since the fit is that which ought to be, it is both a summit and a middle. It is a summit indeed, because it neither requires ablation, nor addition; but it is a middle, because it subsists between excess and defect. The fit, however, and the unfit, are to each other as the equal and the unequal that which is arranged, and that which is without arrangement; and both the two former and the two latter are finite and infinite.[70] On this account, the parts of the unequal are referred to the middle, but not to each other. For the angle is called obtuse which is greater than a right angle; but that is called acute, which is less than a right angle. The right line also [in a circle] is greater, which surpasses that which is drawn from the center. And the day is longer indeed, which exceeds that of the equinox. Diseases, likewise, of the body are generated, through the body becoming more hot or more cold [than is proper]. For that which is more hot [than is fit] exceeds moderation; and that which is more cold [than is fit] is below mediocrity. The soul also, and such things as pertain to it, have this disposition and analogy. For audacity indeed, is an excess of the decorous in the endurance of things of a dreadful nature; but timidity is a deficiency of the, decorous. And prodigality is an excess of what is fit in the expenditure of money; but illiberality is a deficiency in this. And rage indeed, is an excess of the decorous in the impulse of the irascible part of the soul; but insensibility is a deficiency of this. The same reasoning likewise applies to the opposition of the other dispositions of the soul. It is necessary however, that virtue, since it is a habit of the decorous, and a medium of the passions, should neither be [wholly] impassive, nor immoderately passive. For impassivity indeed, causes the soul to be unimpelled, and to be without an enthusiastic tendency to the beautiful in conduct; but immoderate passivity causes it to be full of perturbation, and inconsiderate. It is necessary therefore, that passion should so present itself to the view, in virtue, as shadow and outline in a picture. For the animated and the delicate, and that which imitates the truth, in conjunction with goodness of colors, are especially effected in a picture through these [i. e. through shadow and outline]. But the passions of the soul are animated by the natural incitation and enthusiasm of virtue. For virtue is generated from the passions, and when generated, again subsists together with them; just as that which is well harmonized consists of the sharp and the flat, that which is well mingled consists of the hot and the cold, and that which is in equilibrium derives its equality of weight from the heavy and the light. It is not therefore necessary to take away the passions of the soul; for neither would this be profitable; but it is requisite that they should be co-harmonized with the rational part, in conjunction with fitness and mediocrity.

FROM THE TREATISE OF ARCHYTAS ON ETHICAL ERUDITION.

I say that virtue will be found sufficient to the avoidance of infelicity, and vice to the non-attainment of felicity, if we judiciously consider the habits [by which these are produced]. For it is necessary that the bad man should always be miserable; whether he is in affluence, for he employs it badly; or whether he is in penury; just as the blind man, whether he has light, and the most splendid visible object before him, or whether he is in the dark [is always necessarily without sight]. But the good man is not always happy; for felicity does not consist in the possession, but in the use of virtue. For neither does he who has sight always see; for he will not see, if he is without light. Life, however, is divided into two paths; one of which is more arduous, and in which the patient Ulysses walked; but the other is more free from molestation, and is that in which Nestor proceeded. I say therefore that virtue desires the latter, but is able to proceed in the former of these paths. The nature however of felicity proclaims it to be a desirable and stable life, because it gives perfection to the decision of the soul. Hence the virtuous man who does not obtain such a life as this, is not indeed happy, nor yet entirely miserable. No one therefore will dare to say that the good man should be exempt from disease, and pain, and sorrow. For as we leave certain painful things to the body, so likewise we must permit them to be present with the soul. The sorrows, however, of fools are most irrational; but those of wise men proceed only as far as reason, which gives limitation to things, permits. Moreover, the boast of apathy dissolves the generosity of virtue, when it opposes itself to things of an indifferent nature, and not to evils such as death, and pain, and poverty. For things which are not evils are easily vanquished. We should therefore exercise ourselves in the mediocrity of the passions, as we shall then equally avoid insensibility, and too much passivity, and shall not speak higher of our nature than we ought.

FROM ARCHYTAS, IN HIS TREATISE ON THE GOOD AND HAPPY MAN.

I say then that the good man is one who uses in a beautiful manner great things and opportunities. He likewise is able to bear well both prosperity and adversity. In beautiful and honorable circumstances also, he becomes worthy of the condition in which he is placed; and when his fortune is changed, receives it in a proper manner. In short, on all occasions, he contends well from contingencies that may arise. Nor does he only thus prepare himself [for whatever may happen], but likewise those who confide in and contend together with him.

FROM CRITO, IN HIS TREATISE ON PRUDENCE AND PROSPERITY.

Prudence and prosperity subsist, with reference to each other, as follows: Prudence indeed is effable and possesses reason; for it is something orderly and definite. But prosperity is ineffable and irrational; for it is something disorderly and indefinite. And prudence, indeed, is prior, but prosperity is posterior in beginning and in power. For the former is naturally adapted to govern and define; but the latter to be governed and defined. Moreover, both prudence and prosperity receive co-adaptation, since they concur in one and the same thing. For it is always necessary that the thing which bounds and co-arranges, should have a nature which is effable and participates of reason; but that the thing which is bounded and co-arranged, should be naturally ineffable and irrational. For the reason of the nature of the infinite and of that which bounds, thus subsists in all things. For infinites are always naturally disposed to be bounded and co-arranged by things which possess reason and prudence, since the former have the order of matter and essence with relation to the latter. But finites are co-arranged and bounded from themselves, since they have the order of cause, and of that which is energetic.

The co-adaptation, however, of these natures in different things, produces a great and various difference of co-adapted substances. For in the comprehension of the whole of things, the co-adaptation of both the natures, i. e. of the nature which is always moved, and of that which is always passive, is the world. For it is not possible for the whole and the universe to be otherwise saved, than by that which is generated being co-adapted to that which is divine, and that which is always passive to that which is always moved.[71] In man, likewise, the co-adaptation of the irrational to the rational part of the soul, is virtue. For it is not possible in these, when there is sedition in both the parts, that virtue should have a subsistence. In a city also, the co-adaptation of the governors to the governed, produces strength and concord. For to govern is the peculiarity of the better nature; but to be governed, is easier to the subordinate [than to the more excellent] nature. And strength and concord are common to both. There is, however, the same mode of adaptation in the universe and in a family: for allurements[72] and erudition concur with reason in one and the same thing; and likewise pains and pleasures, prosperity and adversity. For the life of man requires intension and remission, sorrow and gladness, prosperity and adversity. For some things are able to collect and retain the intellect to industry and wisdom; but others impart relaxation and delight, and thus render the intellect vigorous and prompt to action. If however one of these prevails in life, then the life of man becomes of one part, and verges to one part, tending either to sorrow and difficulty, or to remission and levity. But the co-adaptation of all these ought to subsist with reference to prudence. For this separates and distinguishes[73] bound and infinity in actions. Hence prudence is the leader and mother of the other virtues. For all of them are co-harmonized and co-arranged with reference to the reason and law of this virtue. And now my discussion of this subject is terminated. For the irrational and the effable are in all things. And the latter defines and bounds; but the former is defined and bounded. That, however, which consists of both these, is the apt composition of the whole and the universe.

The following beautiful fragment of Crito on Prudence, is from the Physical Eclogues of Stobæus, p. 198, and is omitted by Gale in his Collection of Pythagoric Ethical Fragments in Opusc. Mythol. &c.

God fashioned man in such a way as to render it manifest, that he is not through the want of power, or of deliberate choice, incapable of being impelled to what is beautiful in conduct. For he implanted in him a principle of such a kind as to comprehend at one and the same time the possible and the pre-eligible; so that man might be the cause of power, and the possession of good, but God of impulse and incitation according to right reason. On this account also, he made him tend to heaven, gave him an intellective power, and implanted in him a sight called intellect, which is capable of beholding God. For it is not possible without God to discover that which is best and most beautiful, nor without intellect to see God, since every mortal nature is established in conjunction with a kindred privation of intellect. This however is not imparted to it by God, but by the essence of generation, and by that impulse of the soul which is without deliberate choice.

FROM ARCHYTAS, IN HIS TREATISE ON THE GOOD AND HAPPY MAN.

The prudent [i. e. the wise] man will especially become so as follows: In the first place, being naturally sagacious, possessing a good memory, and being a lover of labor, he should exercise his dianoetic power immediately from his youth in reasonings and disciplines, and in accurate theories, and adhere to genuine philosophy. But after this he should acquire knowledge and experience in what pertains to the Gods, the laws, and human lives. For there are two things from which the disposition of prudence is produced; one of which consists in obtaining a mathematical and gnostic habit; but the other, in a man perceiving by himself many theorems and things, and understanding other things through a certain different mode. For neither is he sufficient to the possession of prudence, who immediately from his youth has exercised his dianoetic power in reasonings and disciplines; nor he who being destitute of these, has heard and has been conversant with a multitude of things. But the latter will have his dianoetic power blind, through judging of particulars; and the former through always surveying universals. For as in computations the amount of the whole is obtained by the addition of the parts, thus also in things, reason is able to delineate the theory of universals; but experience has the power of forming a judgment of particulars.

FROM ARCHYTAS, IN HIS TREATISE ON DISCIPLINES.

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.

FROM POLUS, IN HIS TREATISE ON JUSTICE.

It appears to me that the justice which subsists among men, may be called the mother and the nurse of the other virtues. For without this a man can neither be temperate, nor brave, nor prudent. For it is the harmony and peace, in conjunction with elegance, of the whole soul. The strength however of this virtue will become more manifest, if we direct our attention to the other habits. For they have a partial utility, and which is referred to one thing; but this is referred to whole systems, and to a multitude. In the world therefore, it conducts the whole government of things, and is providence, harmony, and Dice, by the decree of a certain genus of Gods. But in a city it is justly called peace, and equitable legislation. And in a house, it is the concord between the husband and wife; the benevolence of the servant towards the master; and the anxious care of the master for the welfare of the servant. In the body likewise, which is the first and dearest thing to all animals, [so far as they are animals,] it is the health and intireness of all the parts. But in the soul, it is the wisdom, which among men subsists from science and justice. If therefore, this virtue thus disciplines and saves both the whole and the parts [of every thing] rendering things concordant and familiar with each other, how is it possible it should not be called by the decision of all men, the mother and the nurse of all things?

The following fragments also, from the Treatise of Archytas on Wisdom, are preserved by Iamblichus, in the 3rd Chapter of his Protreptics, or Exhortations to Philosophy.

“Archytas therefore, in the beginning of his Treatise on Wisdom, exhorts to the possession of it as follows:

1. “Wisdom as much excels in all human affairs as the sight does the [other] corporeal senses, intellect the soul, and the sun the stars. For the sight is the most far-darting, and the most multiform of all the senses; intellect is the supreme part of the soul, judging by reason and dianoïa what is fit, and existing as the sight and power of the most honorable things; and the sun is the eye and soul of things which have a natural subsistence. For through it all things become visible, are generated, and rise into existence.[74] Deriving also their roots, and being generated from thence, they are nourished, increased and excited by it in conjunction with sense.

2. “Man was generated by far the wisest of all [terrestrial] animals. For he is able to contemplate the things which exist, and to obtain from all things science and wisdom. To which also it may be added, that divinity has engraved and exhibited in him the system of universal reason, in which all the forms of things in existence are distributed, and the significations of nouns and verbs. For a place is assigned for the sounds of the voice, viz. the pharynx, the mouth, and the nostrils. But as man was generated the instrument of the sounds, through which nouns and verbs are signified, so likewise of the conceptions which are beheld in the things that have an existence. And this appears to me to be the work of wisdom, for the accomplishment of which man was generated and constituted, and received organs and powers from divinity.

3. “Man was generated and constituted, for the purpose of contemplating the reason of the whole of nature, and in order that, being himself the work of wisdom, he might survey the wisdom of the things which exist.—For if the reason of man is contemplative of the reason of the whole of nature, and the wisdom also of man perceives and contemplates the wisdom of the things in existence,—this being acknowledged, it is at the same time demonstrated, that man is a part of universal reason, and of the whole of the intellectual nature.

4. “Wisdom is not conversant with a certain definite existing thing, but is simply conversant with all the things that exist. And it is requisite, that it should not first investigate the principles of itself, but the common principles of all beings. For wisdom so subsists with reference to all beings, that it is the province of it to know and contemplate the universal accidents of all things. And on this account wisdom discovers the principles of all beings.

5. “Whoever, therefore, is able to analyze all the genera which are contained under one and the same principle, and again to compose and con-numerate them, he appears to me to be the wisest of men, and to possess the most perfect veracity. Farther still, he will also have discovered a beautiful place of survey, from which it will be possible to behold divinity, and all things that are in co-ordination with, and successive to him, subsisting separately, or distinct from each other.[75] Having likewise entered this most ample road, being impelled in a right direction by intellect, and having arrived at the end of his course, he will have conjoined beginnings with ends, and will know that God is the principle, middle, and end, of all things which are accomplished according to justice and right reason.”[76]

PYTHAGORIC ETHICAL SENTENCES FROM STOBÆUS, _Which are omitted in the Opuscula Mythologica, &c. of Gale._

Do not even _think_ of doing what ought not to be done.

Choose rather to be strong in soul than in body.

Be persuaded that things of a laborious nature contribute more than pleasures to virtue.

Every passion of the soul is most hostile to its salvation.

It is difficult to walk at one and the same time in many paths of life.[77]

Pythagoras said, it is requisite to choose the most excellent life; for custom will make it pleasant. Wealth is an infirm anchor, glory is still more infirm; and in a similar manner the body, dominion, and honor. For all these are imbecile and powerless. What then are powerful anchors? Prudence, magnanimity, fortitude. These no tempest can shake. This is the law of God, that virtue is the only thing that is strong; and that every thing else is a trifle.

All the parts of human life, in the same manner as those of a statue, ought to be beautiful.

A statue indeed standing on its basis, but a worthy man on the subject of his deliberate choice, ought to be immovable.

Frankincense ought to be given to the Gods, but praise to good men.

It is requisite to defend those who are unjustly accused of having acted injuriously, but to praise those who excel in a certain good.

Neither will the horse be judged to be generous, that is sumptuously adorned, but the horse whose nature is illustrious; nor is the man worthy who possesses great wealth, but he whose soul is generous.

When the wise man opens his mouth, the beauties of his soul present themselves to the view, like the statues in a temple.[78]

Remind yourself that all men assert that wisdom is the greatest good, but that there are few who strenuously endeavour to obtain this greatest good.[79] Pythagoras.

Be sober, and remember to be disposed to believe; for these are the nerves of wisdom. Epicharmus.

It is better to live lying on the grass, confiding in divinity and yourself, than to lie on a golden bed with perturbation.

You will not be in want of any thing, which it is in the power of Fortune to give and take away.[80]

Despise all those things, which when liberated from the body you will not want; and exercising yourself in those things of which when liberated from the body you will be in want, invoke the Gods to become your helpers.[81]

Neither is it possible to conceal fire in a garment, nor a base deviation from rectitude in time.

Wind indeed increases fire, but custom love.[82]

Those alone are dear to divinity, who are hostile to injustice.[83]

Those things which the body necessarily requires, are easily to be procured by all men, without labor and molestation; but those things to the attainment of which labor and molestation are requisite, are objects of desire, not to the body, but to depraved opinion. Aristoxenus Pythag. Stob. p. 132.

Of desire also, he [i. e. Pythagoras] said as follows: This passion is various, laborious, and very multiform. Of desires however, some are acquired and adventitious, but others are connascent. But he defined desire itself to be a certain tendency and impulse of the soul, and an appetite of a plenitude or presence of sense, or of an emptiness and absence of it, and of non-perception. He also said, that there are three most known species of erroneous and depraved desire, viz. the indecorous, the incommensurate, and the unseasonable. For desire is either immediately indecorous, troublesome, and illiberal; or it is not absolutely so, but is more vehement and lasting than is fit. Or in the third place, it is impelled when it is not proper; and to objects to which it ought not to tend. Ex Aristoxeni Pythag. Sententiis. Stob. p. 132.

Endeavour not to conceal your errors by words, but to remedy them by reproofs. Pythagoras. Stob. p. 146.

It is not so difficult to err, as not to reprove him who errs. Pythagoras. Stob. p. 147.

As a bodily disease cannot be healed, if it is concealed, or praised; thus also, neither can a remedy be applied to a diseased soul, which is badly guarded and protected. Pythagoras. Stob. p. 147.

The grace of freedom of speech, like beauty in season, is productive of greater delight.

It is not proper either to have a blunt sword, or to use freedom of speech ineffectually.

Neither is the sun to be taken from the world, nor freedom of speech from erudition.

As it is possible for one who is clothed with a sordid robe, to have a good habit of body; thus also he whose life is poor may possess freedom of speech.[84]

Be rather delighted with those that reprove, than with those that flatter you; but avoid flatterers, as worse than enemies. Pythagoras. Stob. p. 149.

The life of the avaricious resembles a funeral banquet. For though it has all things [requisite to a feast,] yet no one present rejoices. Stob. p. 155.[85]

Acquire continence as the greatest strength and wealth. Pythagoras. Stob. p. 156.

“Not frequently man from man,” is one of the exhortations of Pythagoras; by which he obscurely signifies, that it is not proper to be frequently engaged in venereal connexions. Stob. p. 156.

It is impossible that he can be free who is a slave to his passions. Pythagoras. Stob. 165.

Pythagoras said, that intoxication is the meditation of insanity. Stob. p. 165.

Pythagoras being asked, how a lover of wine might be cured of intoxication, answered, if he frequently surveys what his actions were when he was intoxicated. Stob. p. 165.

Pythagoras said, that it was either requisite to be silent, or to say something better than silence. Stob. p. 215.

Let it be more eligible to you to throw a stone in vain, than to utter an idle word. Pythagoras. Stob. p. 215.

Do not say a few things in many words, but much in a few words. Pythagoras. Stob. p. 216.

Genius is to men either a good or an evil dæmon. Epicharmus. Stob. p. 220.

Pythagoras being asked, how a man ought to conduct himself towards his country, when it had acted iniquitously with respect to him, replied, as to a mother. Stob. p. 227.

Travelling teaches a man frugality, and the way in which he may be sufficient to himself. For bread made of milk and flower, and a bed of grass, are the sweetest remedies of hunger and labor.

To the wise man every land is eligible as a place of residence; for the whole world is the country of the worthy soul.[86] Stob. p. 231.

Pythagoras said, that luxury entered into cities in the first place, afterwards satiety, then lascivious insolence, and after all these destruction. Stob. p. 247.

Pythagoras said, that of cities that was the best, which contained worthy men. Stob. p. 247.

Do those things which you judge to be beautiful, though in doing them you should be without renown. For the rabble is a bad judge of a good thing. [Despise therefore the reprehension of those whose praise you despise.] Demophilus. Stob. p. 310.[87]

Those that do not punish bad men, wish that good men may be injured. Pythagoras. Stob. p. 321.

It is not possible for a horse to be governed without a bridle, or riches without prudence. Pythagoras. Stob. p. 513.

It is the same thing to think greatly of yourself in prosperity, as to contend in the race in a slippery road. Stob. p. 563.

There is not any gate of wealth so secure, which the opportunity of Fortune may not open. Stob. p. 563.[88]

Expel by reasoning the unrestrained grief of a torpid soul. Stob. p. 572.

It is the province of a wise man to bear poverty with equanimity. Stob. p. 572.[89]

Spare your life, lest you consume it with sorrow and care. Pythagoras. Stob. p. 616.

Nor will I be silent as to this particular, that it appeared both to Plato and Pythagoras, that old age was not to be considered with reference to an egress from the present life, but to the beginning of a blessed life. From Phavorinus on Old Age. Stob. p. 585.

The two following extracts are from Clemens Alexandrinus in Stromat. lib. 3. p. 413.

The ancient theologists and priests testify that the soul is conjoined to the body through a certain punishment, and that it is buried in this body as in a sepulchre. Philolaus.

Whatever we see when awake is death; and when asleep, a dream. Pythagoras.

SELECT SENTENCES OF SEXTUS THE PYTHAGOREAN.

To neglect things of the smallest consequence, is not the least thing in human life.

The wise man, and the despiser of wealth, resembles God.

Do not investigate the name of God, because you will not find it. For every thing which is called by a name, receives its appellation from that which is more worthy than itself,[90] so that it is one person that calls, and another that hears. Who is it, therefore, that has given a name to God? God, however, is not a name to God, but an indication of what we conceive of him.

God is a light incapable of receiving its contrary [darkness.]

You have in yourself something similar to God, and therefore use yourself as the temple of God, on account of that which in you resembles God.

Honor God above all things, that he may rule over you.

Whatever you honor above all things, that which you so honor will have dominion over you. But if you give yourself to the domination of God, you will thus have dominion over all things.

The greatest honor which can be paid to God, is to know and imitate him.

There is not any thing, indeed, which wholly resembles God; nevertheless the imitation of him as much as possible by an inferior nature is grateful to him.

God, indeed, is not in want of any thing, but the wise man is in want of God alone. He, therefore, who is in want but of few things, and those necessary, emulates him who is in want of nothing.

Endeavour to be great in the estimation of divinity, but among men avoid envy.

The wise man whose estimation with men was but small while he was living, will be renowned when he is dead.

Consider all the time to be lost to you in which you do not think of divinity.

A good intellect is the choir of divinity.

A bad intellect is the choir of evil dæmons.

Honor that which is just, on this very account that it is just.

You will not be concealed from divinity when you act unjustly, nor even when you think of acting so.

The foundation of piety is continence; but the summit of piety is the love of God.

Wish that what is expedient and not what is pleasing may happen to you.

Such as you wish your neighbour to be to you, such also be you to your neighbours.

That which God gives you, no one can take away.

Neither do nor even think of that which you are not willing God should know.

Before you do any thing think of God, that his light may precede your energies.

The soul is illuminated by the recollection of deity.

The use of all animals as food is indifferent, but it is more rational to abstain from them.

God is not the author of any evil.

You should not possess more than the use of the body requires.

Possess those things which no one can take from you.

Bear that which is necessary, as it is necessary.

Ask those things of God which it is worthy of God to bestow.

The reason which is in you, is the light of your life.

Ask those things of God, which you cannot receive from man.

Wish that those things which labor ought to precede, may be possessed by you after labor.

Be not anxious to please the multitude.

It is not proper to despise those things of which we shall be in want after the dissolution[91] of the body.

You should not ask of divinity that which, when you have obtained, you will not perpetually possess.

Accustom your soul after [it has conceived all that is great of] divinity, to conceive something great of itself.

Esteem nothing to be precious, which a bad man may take from you.

He is dear to divinity, who considers those things alone to be precious, which are esteemed to be so by divinity.

Every thing which is more than necessary to man, is hostile to him.

He who loves that which is not expedient, will not love that which is expedient.

The intellect of the wise man is always with divinity.

God dwells in the intellect of the wise man.

Every desire is insatiable, and therefore is always in want.

The wise man is always similar to himself.

The knowledge and imitation of divinity, are alone sufficient to beatitude.

Use lying as poison.

Nothing is so peculiar to wisdom as truth.

When you preside over men, remember that divinity also presides over you.

Be persuaded that the end of life, is to live conformably to divinity.

Depraved affections are the beginnings of sorrows.

An evil disposition is the disease of the soul; but injustice and impiety are the death of it.

Use all men in such a way, as if you were the common curator of all things after God.

He who uses mankind badly, uses himself badly.

Wish that you may be able to benefit your enemies.

Endure all things, in order that you may live conformably to God.

By honoring a wise man, you will honor yourself.

In all your actions place God before your eyes.[92]

You are permitted to refuse matrimony, in order that you may live incessantly adhering to God.[93] If, however, as one knowing the battle, you are willing to fight, take a wife, and beget children.

To live, indeed, is not in our power, but to live rightly is.

Be unwilling to admit accusations against the man who is studious of wisdom.

If you wish to live with hilarity, be unwilling to do many things. For in a multitude of actions you will be minor.

Every cup should be sweet to you which extinguishes thirst.

Fly from intoxication as you would from insanity.

No good originates from the body.

Think that you suffer a great punishment when you obtain the object of corporeal desire; for the attainment of such objects never satisfies desire.

Invoke God as a witness to whatever you do.

The bad man does not think there is a providence.

Assert that which possesses wisdom in you, to be the [true] man.[94]

The wise man participates of God.

Where that which is wise in you resides, there also is your good.

That which is not noxious to the soul, is not noxious to man.

He who unjustly expels a wise man from the body, confers a benefit on him by his iniquity. For he thus becomes liberated as it were, from bonds.

The fear of death renders a man sad through the ignorance of his soul.

You will not possess intellect, till you understand that you have it.

Think that your body is the garment of your soul; and therefore preserve it pure.

Impure dæmons vindicate to themselves the impure soul.

Speak not of God to every man.

It is dangerous, and the danger is not small, to speak of God even things which are true.

A true assertion respecting God, is an assertion of God.

You should not dare to speak of God to the multitude.

He does not know God who does not worship him.

The man who is worthy of God is also a God among men.

It is better to have nothing, than to possess much and impart it to no one.

He who thinks that there is a God, and that nothing is taken care of by him, differs in no respect from him who does not believe that there is a God.

He honors God in the best manner who renders his intellect as much as possible similar to God.

If you injure no one, you will fear no one.

No one is wise who looks downward to the earth.

To lie is to deceive in life, and to be deceived.

Recognise what God is, and what that is in you which recognises God.

It is not death, but a bad life, that destroys the soul.

If you know him by whom you were made, you will know yourself.

It is not possible for a man to live conformable to divinity, unless he acts modestly, well, and justly.

Divine wisdom is true science.

You should not dare to speak of God to an impure soul.

The wise man follows God, and God follows the soul of the wise man.

A king rejoices in those whom he governs, and therefore God rejoices in the wise man. He who governs likewise, is inseparable from those whom he governs; and therefore God is inseparable from the soul of the wise man, which he defends and governs.

The wise man is governed by God, and on this account is blessed.

A scientific knowledge of God causes a man to use few words.

To use many words when speaking of God, produces an ignorance of God.

The man who possesses a knowledge of God, will not be very ambitious.

The erudite,[95] chaste, and wise soul, is the prophet of the truth of God.

Accustom yourself always to look to Divinity.

A wise intellect is the mirror of God.

PYTHAGORIC SENTENCES, FROM THE PROTREPTICS OF IAMBLICHUS.[96]

As we live through soul, it must be said that by the virtue of this we live well; just as because we see through the eyes, we see well through the virtue of these.

It must not be thought that gold can be injured by rust, or virtue by baseness.

We should betake ourselves to virtue as to an inviolable temple, in order that we may not be exposed to any ignoble insolence of soul with respect to our communion with, and continuance in life.

We should confide in Virtue as in a chaste wife; but trust to Fortune as to an inconstant mistress.

It is better that virtue should be received accompanied with poverty, than wealth with violence; and frugality with health, than veracity with disease.

An abundance of nutriment is noxious to the body; but the body is preserved when the soul is disposed in a becoming manner.

It is equally dangerous to give a sword to a madman, and power to a depraved man.

As it is better for a part of the body which contains purulent matter to be burnt, than to continue in the state in which it is, thus also it is better for a depraved man to die than to live.

The theorems of philosophy are to be enjoyed as much as possible, as if they were ambrosia and nectar. For the pleasure arising from them is genuine, incorruptible, and divine. They are also capable of producing magnanimity; and though they cannot make us eternal beings, yet they enable us to obtain a scientific knowledge of eternal natures.

If vigor of sensation is considered by us to be an eligible thing, we should much more strenuously endeavour to obtain prudence; for it is as it were the sensitive vigor of the practical intellect which we contain. And as through the former we are not deceived in sensible perceptions, so through the latter we avoid false reasoning in practical affairs.

We shall venerate Divinity in a proper manner, if we render the intellect that is in us pure from all vice, as from a certain stain.

A temple, indeed, should be adorned with gifts, but the soul with disciplines.

As the lesser mysteries are to be delivered before the greater, thus also discipline must precede philosophy.

The fruits of the earth, indeed, are annually imparted, but the fruits of philosophy at every part of the year.

As land is especially to be attended to by him who wishes to obtain from it the most excellent fruit, thus also the greatest attention should be paid to the soul, in order that it may produce fruit worthy of its nature.

ADDITIONAL NOTES.

ADDITIONAL NOTES.

P. 50. _Better worth saving than ten thousand corporeal eyes._

Iamblichus here alludes to what Plato says in the seventh book of his Republic, respecting the mathematical disciplines. For he there says, “that the soul through these disciplines has an organ purified and enlightened, which is blinded and buried by studies of another kind, an organ better worth saving than ten thousand eyes, since truth becomes visible through this alone.”

P. 58. _That in which the Sirens subsist._

“The divine Plato, (says Proclus in his MS. Scholia on the Cratylus,) knew that there are three kinds of Sirens; the _celestial_, which is under the government of Jupiter; _that which produces generation_, and is under the government of Neptune; and _that which is cathartic_, and is under the government of Pluto. It is common to all these to incline all things through an harmonic motion to their ruling Gods. Hence, when the soul is in the heavens, the Sirens are desirous of uniting it to the divine life which florishes there. But it is proper that souls living in generation should sail beyond them, like the Homeric Ulysses, that they may not be allured by generation, of which the sea is an image. And when souls are in Hades, the Sirens are desirous of uniting them through intellectual conceptions to Pluto. So that Plato knew that in the kingdom of Hades there are Gods, dæmons, and souls, who dance as it were round Pluto, allured by the Sirens that dwell there.” See more concerning the Sirens in my translation of Proclus on the Theology of Plato, Book the 6th.

P. 60. _That it is requisite to put the shoe on the right foot first._

This audition is taken from what forms the 12th Symbol in the Protreptics of Iamblichus, and is as follows: “When stretching forth your feet to have your sandals put on, first extend your right foot; but when about to use a foot bath, first extend your left foot.” “This Symbol, (says Iamblichus,) exhorts to practical prudence, admonishing us to place worthy actions about us as right-handed; but entirely to lay aside and throw away such as are base, as being left-handed.”

P. 60. _That it is not proper to walk in the public ways._

This is the 5th Symbol in the Protreptics of Iamblichus, but is there differently expressed: for it is, “Declining from the public ways, walk in unfrequented paths.” On which Iamblichus observes: “I think that this Symbol also contributes to the same thing as the preceding, [which is, ‘Disbelieve, nothing wonderful concerning the Gods, nor concerning divine dogmas’]. For this exhorts us to abandon a popular and merely human life; but thinks fit that we should pursue a separate and divine life. It also signifies that it is necessary to look above common opinions; but very much to esteem such as are private and arcane; and that we should despise merely human delight; but ardently pursue that felicitous mode of conduct which adheres to the divine will. It likewise exhorts us to dismiss human manners as popular, and to exchange for these the religious cultivation of the Gods, as transcending a popular life.”

P. 61. _Do not assist a man in laying a burden down._

This in the Protreptics is the 11th Symbol, and is explained by Iamblichus as follows: “This Symbol exhorts to fortitude; for whoever takes up a burden, signifies that he undertakes an action of labor and energy; but he who lays one down, of rest and remission. So that the Symbol has the following meaning; Do not become either to yourself or another the cause of an indolent and effeminate mode of conduct; for every useful thing is acquired by labor. But the Pythagoreans celebrate this Symbol as Herculean, thus denominating it from the labors of Hercules. For during his association with men, he frequently returned from fire and every thing dreadful, indignantly rejecting indolence. For rectitude of conduct is produced from acting and operating, but not from sluggishness.”

P. 61. _Do not draw near to a woman for the sake of begetting children, if she has gold._

In the Protreptics of Iamblichus (Symbol 35.) this is expressed as follows: “Draw not near to that which has gold, in order to produce children.” On which Iamblichus observes: “The Symbol does not here speak of a woman, but of that sect and philosophy which has much of the corporeal in it, and a gravitating tendency downwards. For gold is the heaviest of all things in the earth, and pursues a tendency to the middle, which is the peculiarity of corporeal weight. But the term to _draw near_, not only signifies to be connected with, but always to approach towards, and to be seated near another.”

P. 61. _Speak not about Pythagoric concerns without light._

This is the 13th Symbol in the Protreptics, and is thus explained by Iamblichus: “This Symbol exhorts to the possession of intellectual prudence. For this is similar to the light of the soul, to which being indefinite it gives bound, and leads, as it were, from darkness into light. It is proper, therefore, to place intellect as the leader of every thing beautiful in life, but especially in Pythagoric dogmas; for these cannot be known without light.”

P. 61. _Wear not the image of God in a ring._

This in the Protreptics is the 24th Symbol; but instead of _wear_, it is there _inscribe_. But Iamblichus’ explanation of it is as follows: “This Symbol conformably to the foregoing conception, employs the following exhortation: Philosophize, and before every thing consider the Gods as having an incorporeal subsistence. For this is the most principal root of the Pythagoric dogmas, from which nearly all of them are suspended, and by which they are strengthened even to the end. Do not therefore think that the Gods use such forms as are corporeal, or that they are received by a material subject, and by body as a material bond, like other animals. But the engravings in rings exhibit the bond which subsists through the ring, its corporeal nature and sensible form, and the view as it were of some partial animal, which becomes apparent through the engraving; from which especially we should separate the genus of the Gods, as being eternal and intelligible, and always subsisting according to the same and in a similar manner, as we have particularly, most fully, and scientifically shown in our treatise concerning the Gods.”[97]

P. 61. _Nor is it proper to sacrifice a white cock; for this also is a suppliant, and is sacred to the moon._

In the Protreptics, the 18th Symbol is partly the same with, and partly different from this. For it is, “Nourish a cock; but sacrifice it not; for it is sacred to the sun and the moon.” And Iamblichus explains it as follows: “This Symbol advises us to nourish and strengthen the body and not neglect it, dissolving and destroying the mighty tokens of the union, connexion, sympathy, and consent of the world. So that it exhorts us to engage in the contemplation and philosophy of the universe. For though the truth concerning the universe is naturally occult, and sufficiently difficult of investigation, it must, however, at the same time, be inquired into and investigated by man, and especially through philosophy. For it is truly impossible to be discovered through any other pursuit. But philosophy receiving certain sparks, and as it were viatica, from nature, excites and expands them into magnitude, rendering them more conspicuous through the disciplines which it possesses. Hence, therefore, we should philosophize.”

P. 61. _It is proper to sacrifice, and to enter temples, unshod._

This in the Protreptics is the 3rd Symbol; but is thus enunciated by Iamblichus, “Sacrifice and adore unshod.” On which Iamblichus observes: “This Symbol signifies that we ought to worship the Gods, and acquire a knowledge of them in an orderly and modest manner, and in a way not surpassing our condition on the earth. It also signifies that, in worshipping them, and acquiring this knowledge, we should be free from bonds, and properly liberated. But the Symbol exhorts that sacrifice and adoration should be performed not only in the body, but also in the energies of the soul; so that these energies may neither be detained by passions, nor by the imbecility of the body, nor by generation, with which we are externally surrounded. But every thing pertaining to us should be properly liberated, and prepared, for the participation of the Gods.”

P. 77. _Enter not into a temple negligently, nor, in short, adore carelessly, not even though you should stand at the very doors themselves._

This in the Protreptics is the 2nd Symbol, and is explained by Iamblichus as follows: “If the similar is friendly and allied to the similar, it is evident that since the Gods have a most principal essence among wholes, we ought to make the worship of them a principal object. But he who does this for the sake of any thing else, gives a secondary rank to that which takes the precedency of all things, and subverts the whole order of religious worship and knowledge. Besides, it is not proper to rank illustrious goods in the subordinate condition of human utility, nor to place our concerns in the order of an end, but things more excellent, whether they be works or conceptions, in the condition of an appendage.”

P. 79. _These, therefore, he ordered not to eat the heart._

This is the 30th Symbol in the Protreptics, and is thus explained by Iamblichus: “This Symbol signifies that it is not proper to divulse the union and consent of the universe. And still further, it signifies this, Be not envious, but philanthropic, and communicative: and from this it exhorts us to philosophize. For philosophy alone among the sciences and arts, is neither pained with the goods of others, nor rejoices in the evils of neighbours, these being allied and familiar by nature, subject to the like passions, and exposed to one common fortune. It likewise evinces that the future is equally unlooked for by all men. Hence, it exhorts us to sympathy and mutual love, and to be truly communicative, as it becomes rational animals.”

P. 79. _Nor the brain._

This is the 31st Symbol in the Protreptics, and which Iamblichus thus explains: “This Symbol also resembles the former: for the brain is the ruling instrument of intellectual prudence. The Symbol, therefore, obscurely signifies that we ought not to dilacerate nor mangle things and dogmas, which have been the objects of judicious deliberation. But these will be such as have been the subject of intellectual consideration, becoming thus equal to objects of a scientific nature. For things of this kind are to be surveyed, not through the instruments of the irrational form of the soul, such as the heart and the liver; but through the pure rational nature. Hence, to dilacerate these by opposition, is inconsiderate folly; but the Symbol rather exhorts us to venerate the fountain of intelligence, and the most proximate organ of intellectual perception, through which we shall possess contemplation, science, and wisdom; and by which we shall truly philosophize, and neither confound nor obscure the vestiges which philosophy produces.”

P. 79. _To abstain from mallows, &c._

The 38th Symbol in the Protreptics is: “Transplant mallows in your garden, but eat them not.” On which Iamblichus observes as follows: “This Symbol obscurely signifies that plants of this kind turn with the sun, and it thinks fit that this should be noticed by us. It also adds, _transplant_, that is to say, observe its nature, its tendency towards, and sympathy with, the sun; but rest not satisfied, nor dwelt upon this, but transfer, and as it were transplant your conception to kindred plants and pot-herbs, and also to animals which are not kindred, to stones and rivers, and, in short, to natures of every kind. For you will find them to be prolific and multiform, and admirably abundant; and this to one who begins from the mallows, as from a root and principle, is significant of the union and consent of the world. Not only, therefore, do not destroy or obliterate observations of this kind; but increase and multiply them as if they were transplanted.”

P. 80. _Thus too he ordered them to abstain from the fish Melanurus._[98]

The 6th Symbol in the Protreptics is, “Abstain from melanurus; for it belongs to the terrestrial Gods.” And this, according to Iamblichus, admonishes us to embrace the celestial journey, to conjoin ourselves to the intellectual Gods, to become separated from a material nature, and to be led as it were in a circular profession to an immaterial and pure life. It further exhorts us to adopt the most excellent worship of the Gods, and especially that which pertains to the primary[99] Gods.

P. 80. _And also not to receive the fish Erythynus._

This in the Protreptics is the 33rd Symbol, and which Iamblichus thus explains: “This Symbol seems to be merely referred to the etymology of the name. Receive not an unblushing and impudent man; nor on the contrary one stupidly astonished, and who in every thing blushes, and is humble in the extreme, through the imbecility of his intellect and reasoning power. Hence this also is understood, Be not yourself such a one.”

P. 80. _He likewise exhorted them to abstain from beans._

In the Protreptics this is the 37th Symbol; and Iamblichus has not developed for us the more mystical signification of this symbol. For he only says that “it admonishes us to beware of every thing which is corruptive of our converse with the Gods and divine prophecy.” But Aristotle appears to have assigned the true mystical reason why the Pythagoreans abstained from beans. For he says, (apud Laert.) “that Pythagoras considered beans as a symbol of generation [i. e. of the whole of a visible and corporeal nature,] which subsists according to a right line, and is without inflection; because a bean alone of almost all spermatic plants, is perforated through the whole of it, and is not obstructed by any intervening joints.” Hence he adds, “it resembles the gates of Hades.” For these are perpetually open without any impediment to souls descending into generation. The exhortation, therefore, to abstain from beans, is equivalent to admonishing us to beware of a continued and perpetual descent into the realms of generation. Hence the true meaning of the following celebrated lines in Virgil;

——facilis descensus Averno. Noctes atque dies patet atri janua Ditis: Sed revocare gradum, superasque evadere ad auras, Hoc opus, hic labor est.

i. e.

The gates of Hell are open night and day, Smooth the descent, and easy is the way; But to return, and view the cheerful skies, In this, the mighty task and labor lies. Dryden.

P. 98. _Such as infallible predictions of earthquakes, rapid expulsions of pestilence, &c. &c._

Since Pythagoras, as Iamblichus informs us, p. 9. was initiated in all the mysteries of Byblus and Tyre, in the sacred operations of the Syrians, and in the mysteries of the Phœnicians, and also (p. 12.) that he spent two and twenty years in the adyta of temples in Egypt, associated with the Magi in Babylon, and was instructed by them in their venerable knowledge;—it is not at all wonderful that he was skilled in magic or theurgy, and was therefore able to perform things which surpass _merely human power_, and which appear to be perfectly incredible to the vulgar. For “magic,” (as we learn from Psellus in his MS. treatise on Dæmons) “formed the last part of the sacerdotal science.” He farther likewise informs us, “that magic investigates the nature, power, and quality of every thing sublunary; viz. of the elements and their parts, of animals, all-various plants, and their fruits, of stones, and herbs: and in short, it explores the essence and power of every thing. From hence, therefore, it produces its effects. And it forms statues which procure health, makes all-various figures, and things which become the instruments of disease. If asserts too, that eagles and dragons contribute to health; but that cats, dogs, and crows, are symbols of vigilance, to which therefore they contribute. But for the fashioning of certain parts, wax and clay are used. Often, too, celestial fire is made to appear through magic; and then statues laugh, and lamps are spontaneously enkindled.” See the original in the Notes to my Pausanias, p. 325. And that theurgy was employed by the ancients in their mysteries, I have fully proved in my treatise On the Eleusinian and Bacchic Mysteries.[100]

Conformably to this, Plato also in the First Alcibiades says, that the magic of Zoroaster consisted in the worship of the Gods, on which passage, I shall present the reader with what I have said, in the first volume of my Plato, p. 63, as it will enable him to see that the theurgy of the ancients is founded in a theory equally scientific and sublime.

“The following account of magic by Proclus, originally formed, as it appears to me, a part of the Commentary written by him on the present passage. For the MS. Commentary of Proclus, which is extant on this dialogue, does not extend to more than a third part of it; and this Dissertation on Magic, which is only extant in Latin, was published by Ficinus the translator, immediately after his Excerpta from this Commentary. So that it seems highly probable, that the manuscript from which Ficinus translated his Excerpta, was much more perfect, than that which has been preserved to us, in consequence of containing this account of the magic of the ancients.

“In the same manner as lovers gradually advance from that beauty which is apparent in sensible forms, to that which is divine; so the ancient priests, when they considered that there is a certain alliance and sympathy in natural things to each other, and of things manifest to occult powers, and discovered that all things subsist in all, they fabricated a sacred science from this mutual sympathy and similarity. Thus they recognized things supreme in such as are subordinate, and the subordinate in the supreme: in the celestial regions, terrene properties subsisting in a causal and celestial manner; and in earth celestial properties, but according to a terrene condition. For how shall we account for those plants called heliotropes, that is, attendants on the sun, moving in correspondence with the revolution of its orb, but selenitropes, or attendants on the moon, turning in exact conformity to her motion? It is because all things pray, and hymn the leaders of their respective orders; but some intellectually, and others rationally; some in a natural, and others after a sensible manner. Hence the sun-flower, as far as it is able, moves in a circular dance towards the sun; so that if any one could hear the pulsation made by its circuit in the air, he would perceive something composed by a sound of this kind, in honor of its king, such as a plant is capable of framing. Hence, too, we may behold the sun and moon in the earth, but according to a terrene quality; but in the celestial regions, all plants, and stones, and animals, possessing an intellectual life according to a celestial nature. Now the ancients, having contemplated this mutual sympathy of things, applied for occult purposes, both celestial and terrene natures, by means of which, through a certain similitude, they deduced divine virtues into this inferior abode. For, indeed, similitude itself is a sufficient cause of binding things together in union and consent. Thus, if a piece of paper is heated, and afterwards placed near a lamp, though it does not touch the fire, the paper will be suddenly inflamed, and the flame will descend from the superior to the inferior parts. This heated paper we may compare, to a certain relation of inferiors to superiors; and its approximation to the lamp, to the opportune use of things according to time, place, and matter. But the procession of fire into the paper, aptly represents the presence of divine light, to that nature which is capable of its reception. Lastly, the inflammation of the paper may be compared to the deification of mortals, and to the illumination of material natures, which are afterwards carried upwards like the enkindled paper, from a certain participation of divine seed.

“Again, the lotus, before the rising of the sun, folds its leaves into itself, but gradually expands them on its rising: unfolding them in proportion to the sun’s ascent to the zenith; but as gradually contracting them, as that luminary descends to the west. Hence this plant, by the expansion and contraction of its leaves, appears no less to honor the sun, than men by the gesture of their eye-lids, and the motion of their lips. But this imitation and certain participation of supernal light, is not only visible in plants, which possess nothing more than a vestige of life, but likewise in particular stones. Thus the sun-stone, by its golden rays, imitates those of the sun; but the stone called the eye of heaven, or of the sun, has a figure similar to the pupil of an eye, and a ray shines from the middle of the pupil. Thus too the lunar stone, which has a figure similar to the moon when horned, by a certain change of itself, follows the lunar motion. Lastly, the stone called helioselenus, i. e. of the sun and moon, imitates, after a manner, the congress of those luminaries, which it images by its color. So that all things are full of divine natures; terrestrial natures receiving the plenitude of such as are celestial, but celestial of supercelestial essences;[101] while every order of things proceeds gradually in a beautiful descent from the highest to the lowest. For whatever particulars are collected into one above the order of things, are afterwards dilated in descending, various souls being distributed under their various ruling divinities.

“In the next place, there are many solar animals, such as lions and cocks, which participate, according to their nature, of a certain solar divinity; whence it is wonderful how much inferiors yield to superiors in the same order, though they do not yield in magnitude and power. Hence it is said, that a cock is very much feared, and as it were reverenced, by a lion; the reason of which we cannot assign from matter or sense, but from the contemplation alone of a supernal order. For thus we shall find that the presence of the solar virtue accords more with a cock than with a lion. This will be evident from considering that the cock, as it were, with certain hymns, applauds and calls to the rising sun, when he bends his course to us from the antipodes; and that solar angels sometimes appear in forms of this kind, who though they are without shape, yet present themselves to us who are connected with shape, in some sensible form. Sometimes too there are dæmons with a leonine front, who, when a cock is placed before them, unless they are of a solar order, suddenly disappear; and this, because those natures which have an inferior rank in the same order, always reverence their superiors; just as many, on beholding the images of divine men, are accustomed, from the very view, to be fearful of perpetrating any thing base.

“In fine, some things turn round correspondent to the revolutions of the sun, as the plants which we have mentioned, and others after a manner imitate the solar rays, as the palm and the date; some the fiery nature of the sun, as the laurel; and others a different property. For, indeed, we may perceive that the properties which are collected in the sun, are every where distributed to subsequent natures constituted in a solar order; that is, to angels, dæmons, souls, animals, plants, and stones. Hence the authors of the ancient priesthood discovered from things apparent, the worship of superior powers, while they mingled some things and purified others. They mingled many things indeed together, because they saw that some simple substances possessed a divine property (though not taken singly) sufficient to call down that particular power, of which they were participants. Hence, by the mingling of many things together, they attracted upon us a supernal influx; and by the composition of one thing from many, they produced an assimilation to that one which is above many; and composed statues from the mixture of various substances conspiring in sympathy and consent. Besides this, they collected composite odours, by a divine art, into one, comprehending a multitude of powers, and symbolizing with the unity of a divine essence; considering that division debilitates each of these, but that mingling them together, restores them to the idea of their exemplar.

“But sometimes one herb, or one stone, is sufficient to a divine operation. Thus, a thistle is sufficient to procure the sudden appearance of some superior power; but a laurel, raccinum, (or a thorny kind of sprig) the land and sea onion, the coral, the diamond, and the jasper, operate as a safeguard. The heart of a mole is subservient to divination, but sulphur and marine water to purification. Hence, the ancient priests, by the mutual relation and sympathy of things to each other, collected their virtues into one, but expelled them by repugnancy and antipathy; purifying when it was requisite with sulphur and bitumen, and sprinkling with marine water. For sulphur purifies, from the sharpness of its odour; but marine water, on account of its fiery portion. Besides this, in the worship of the Gods, they offered animals, and other substances congruous to their nature; and received, in the first place, the powers of dæmons, as proximate to natural substances and operations; and by these natural substances they convoked into their presence those powers to which they approached. Afterwards, they proceeded from dæmons to the powers and energies of the Gods; partly, indeed, from dæmoniacal instruction, but partly by their own industry, interpreting convenient symbols, and ascending to a proper intelligence of the Gods. And lastly, laying aside natural substances and their operations, they received themselves into the communion and fellowship of the Gods.”

It will doubtless be objected by most of the present period, who believe in nothing beyond the information of their senses, that plants, animals, and stones, no longer possess those wonderful sympathetic powers, which are mentioned by Proclus in the above extract. In answer to any such objector, whose _little_ soul, (in the language of the Emperor Julian) is indeed acute, but sees nothing with a vision healthy and sound, it must be said, that this is not at all wonderful at a period, when, as the author of the Asclepian dialogue justly observes, “there is a lamentable departure of divinity from man, when nothing worthy of heaven, or celestial concerns, is heard or believed, and when every divine voice is by a _necessary_ silence dumb.”[102] But to the philosophic reader, it must be observed, that as in the realms of generation, or in other words, the sublunary region, wholes, viz. the spheres of the different elements, remain perpetually according to nature; but their parts are sometimes according, and sometimes contrary to nature; this must also be true of the parts of the earth. When those circulations therefore take place, during which the parts of the earth subsist according to nature, and which are justly called, by Plato, fertile periods, the powers of plants, animals, and stones, magically sympathize with superior natures, in consequence of a more abundant participation of them, through a greater degree of aptitude to receive, and alliance to the participated powers. But during those circulations, in which the parts of the earth subsist contrary to nature, as at present, and which Plato calls barren periods, the powers of plants, animals, and stones, no longer possess a magic sympathy, and consequently are no longer capable of producing magical operations.

P. 106. _The eternal essence of number is the most providential principle of the universe_, &c.

The following account of the manner in which the Pythagoreans philosophized about numbers, is extracted from my Theoretic Arithmetic, and the information contained in it is principally derived from the great Syrianus.

“The Pythagoreans, turning from the vulgar paths, and delivering their philosophy in secret to those alone who were worthy to receive it, exhibited it to others through mathematical names. Hence, they called forms, numbers, as things which are the first separated from impartible union; for the natures which are above forms, are also above separation.[103] The all-perfect multitude of forms, therefore, they obscurely signified through the duad; but they indicated the first formal principles by the monad and duad, as not being numbers; and also by the first triad and tetrad, as being the first numbers, the one being odd, and the other even, from which by addition the decad is generated; for the sum of 1, 2, 3, and 4, is ten. But after numbers, in secondary and multifarious lives, introducing geometrical prior to physical magnitudes; these also they referred to numbers, as to formal causes and the principles of these; referring the point indeed, as being impartible, to the monad; but a line, as the first interval, to the duad; and again, a superficies, as having a more abundant interval, to the triad; and a solid to the tetrad. They also called, as is evident from the testimony of Aristotle, the first length the duad; for it is not simply length, but the _first_ length, in order that by this they might signify _cause_. In a similar manner also, they denominated the _first_ breadth, the triad; and the _first_ depth the tetrad. They also referred to formal principles all psychical knowledge. And intellectual knowledge indeed, as being contracted according to impartible union, they referred to the monad; but scientific knowledge, as being evolved, and as proceeding from cause to the thing caused, yet through the inerratic, and always through the same things, they referred to the duad; and opinion to the triad, because the power of it is not always directed to the same thing, but at one time inclines to the true, and at another to the false. And they referred sense to the tetrad, because it has an apprehension of bodies; for in the duad, indeed, there is one interval from one monad to the other; but in the triad there are two intervals from any one monad to the rest; and in the tetrad there are three. They referred, therefore, to principles every thing knowable, viz. beings, and the gnostic powers of these. But they divided beings not according to breadth, but according to depth; into intelligibles, objects of science, objects of opinion, and sensibles. In a similar manner, also, they divided knowledge into intellect, science, opinion, and sense. The extremity, therefore, of the intelligible triad, or animal itself, as it is called by Plato in the Timæus, is assumed from the division of the objects of knowledge, manifesting the intelligible order, in which forms themselves, viz. the first forms and the principles of these, are contained, viz. the idea of the one itself, of the first length, which is the duad itself, and also the ideas of the first breadth and the first depth; (for in common the term _first_ is adapted to all of them), viz. to the triad itself, and the tetrad itself.

“Again, the Pythagoreans and Plato did not denominate idea from one thing, and ideal number from another. But since the assertion is eminently true, that all things are similar to number, it is evident that number, and especially every ideal number, was denominated on account of its paradigmatic peculiarity. If any one, however, wishes to apprehend this from the appellation itself, it is easy to infer that idea was so called, from rendering as it were its participants similar to itself, and imparting to them _form_, _order_, _beauty_, and _unity_; and this in consequence of always preserving the same form, expanding its own power to the infinity of particulars, and investing with the same species its eternal participants. _Number_ also, since it imparts proportion and elegant arrangement to all things, was allotted this appellation. For the ancients, says Syrianus,[104] call to _adapt_ or _compose_ αρσαι _arsai_, whence is derived αριθμος _arithmos number_. Hence αναρσιον anarsion among the Greeks signifies _incomposite_. Hence too, those Grecian sayings, _you will adapt the balance_, _they placed number together with them_, and also _number and friendship_. From all which number was called by the Greeks _arithmos_, as that which measures and orderly arranges all things, and unites them in amicable league.

“Farther still, some of the Pythagoreans discoursed about inseparable numbers alone, i. e. numbers which are inseparable from mundane natures, but others about such as have a subsistence separate from the universe, in which as paradigms they saw those numbers are contained, which are perfected by nature. But others, making a distinction between the two, unfolded their doctrine in a more clear and perfect manner. If it be requisite, however, to speak concerning the difference of these monads, and their privation of difference, we must say that the monads which subsist in quantity, are by no means to be extended to essential numbers; but when we call essential numbers monads, we must assert that all of them mutually differ from each other by _difference_ itself, and that they possess a privation of difference from _sameness_. It is evident also, that those which are in the same order, are contained through mutual comparison, in _sameness_ rather than in difference, but that those which are in different orders are conversant with much diversity, through the dominion of _difference_.

“Again, the Pythagoreans asserted that nature produces sensibles by numbers; but then these numbers were not mathematical but physical; and as they spoke symbolically, it is not improbable that they demonstrated every property of sensibles by mathematical names. However, says Syrianus, to ascribe to them a knowledge of sensible numbers alone, is not only ridiculous, but highly impious. For they received indeed, from the theology of Orpheus, the principles of intelligible and intellectual numbers, they assigned them an abundant progression, and extended their dominion as far as to sensibles themselves.”

Again, their conceptions about mathematical and physical number, were as follow:

“As in every thing, according to the doctrine of Aristotle, one thing corresponds to matter, and another to form, in any number, as for instance the pentad, its five monads, and in short its quantity, and the number which is the subject of participation, are derived from the duad itself; but its form, i. e. the pentad itself, is from the monad; for every form is a monad, and unites its subject quantity. The pentad itself, therefore, which is a monad, proceeds from the principal monad, forms its subject quantity, which is itself formless, and connects it to its own form. For there are two principles of mathematical numbers in our souls: the monad, which comprehends in itself all the forms of numbers, and corresponds to the monad in intellectual natures; and the duad, which is a certain generative principle of infinite power, and which on this account, as being the image of the never-failing and intelligible duad, is called indefinite. While this proceeds to all things, it is not deserted in its course by the monad, but that which proceeds from the monad continually distinguishes and forms boundless quantity, gives a specific distinction to all its orderly progressions, and incessantly adorns them with forms. And as in mundane natures, there is neither any thing formless, nor any vacuum among the species of things, so likewise in mathematical number, neither is any quantity left innumerable; for thus the forming power of the monad would be vanquished by the indefinite duad, nor does any medium intervene between the consequent numbers, and the well-disposed energy of the monad.

“Neither, therefore, does the pentad consist of substance and accident, as a white man; nor of genus and difference, as man of animal and biped; nor of five monads mutually touching each other, like a bundle of wood; nor of things mingled, like a drink made from wine and honey; nor of things sustaining position, as stones by their position complete the house; nor lastly, as things numerable, for these are nothing else than particulars. But it does not follow that numbers themselves, because they consist of indivisible monads, have nothing else besides monads, (for the multitude of points in continued quantity is an indivisible multitude, yet it is not on this account that there is a completion of something else from the points themselves); but this takes place because there is something in them which corresponds to matter, and something which corresponds to form. Lastly, when we unite the triad with the tetrad, we say that we make seven. The assertion, however, is not true: for monads conjoined with monads, produce indeed the subject of the number 7, but nothing more. Who then imparts the heptadic form to these monads? Who is it also that gives the form of a bed to a certain number of pieces of wood? Shall we not say that the soul of the carpenter, from the art which he possesses, fashions the wood, so as to receive the form of a bed, and that the numerative soul, from possessing in herself a monad which has the relation of a principle, gives form and subsistence to all numbers? But in this only consists the difference, that the carpenter’s art is not naturally inherent in us, and requires manual operation, because it is conversant with sensible matter; but the numerative art is naturally present with us, and is therefore possessed by all men, and has an intellectual matter which it instantaneously invests with form. And this is that which deceives the multitude, who think that the heptad is nothing besides seven monads. For the imagination of the vulgar, unless it first sees a thing unadorned, afterwards the supervening energy of the adorner, and lastly, above all the thing itself, perfect and formed, cannot be persuaded that it has two natures, one formless, the other formal, and still further, that which beyond these imparts form; but asserts, that the subject is one, and without generation. Hence, perhaps, the ancient theologists and Plato ascribed temporal generations to things without generation, and to things which are perpetually adorned, and regularly disposed, privation of order and ornament, the erroneous and the boundless, that they might lead men to the knowledge of a formal and effective cause. It is, therefore, by no means wonderful, that though seven sensible monads are never without the heptad, these should be distinguished by science, and that the former should have the relation of a subject, and be analogous to matter, but the latter should correspond to species and form.

“Again, as when water is changed into air, the water does not become air, or the subject of air, but that which was the subject of water becomes the subject of air, so when one number unites itself with another, as for instance the triad with the duad, the species or forms of the two numbers are not mingled, except in their immaterial reasons (or productive principles), in which at the same time that they are separate, they are not impeded from being united, but the quantities of the two numbers which are placed together, become the subject of the pentad. The triad, therefore, is one, and also the tetrad, even in mathematical numbers: for though in the ennead or number nine, you may conceive a first, second, and third triad, yet you see one thing thrice assumed; and in short, in the ennead there is nothing but the form of the ennead in the quantity of nine monads. But if you mentally separate its subject, (for form is impartible) you will immediately invest it with forms corresponding to its division; for our soul cannot endure to see that which is formless, unadorned, especially as she possesses the power of investing it with ornament.

“Since also separate numbers possess a demiurgic or fabricative power, which mathematical numbers imitate, the sensible world likewise contains images of those numbers by which it is adorned; so that all things are in all, but in an appropriate manner in each. The sensible world, therefore, subsists from immaterial and energetic reasons, and from more ancient causes. But those who do not admit that nature herself is full of productive powers, lest they should be obliged to double things themselves, these wonder how from things void of magnitude and gravity, magnitude and gravity are composed; though they are never composed from things of this kind which are void of gravity and magnitude, as from parts. But magnitude is generated from essentially impartible elements; since form and matter are the elements of bodies; and still much more is it generated from those truer causes which are considered in demiurgic reasons and forms. Is it not therefore necessary that all dimensions, and all moving masses, must from these receive their generation? For either bodies are unbegotten, like incorporeal natures; or of things with interval, things without interval are the causes; of partibles impartibles; and of sensibles and contraries, things insensible and void of contact: and we must assent to those who assert that things possessing magnitude are thus generated from impartibles. Hence the Pythagorean Eurytus, and his followers, beholding the images of things themselves in numbers, rightly attributed certain numbers to certain things, according to their peculiarity. In consequence of this, he said that a particular number is the boundary of this plant, and again, another number of this animal; just as of a triangle 6 is the boundary, of a square 9, and of a cube 8. As the musician, too, harmonizes his lyre through mathematical numbers, so nature through her own natural numbers, orderly arranges, and modulates her productions.

“Indeed, that numbers are participated by the heavens, and that there is a solar number, and also a lunar number, is manifest according to the adage, even to the blind. For the restitutions of the heavenly bodies to their pristine state (αποκαταστασεις) would not always be effected through the same things, and in the same manner, unless one and the same number bad dominion in each. Yet all these contribute to the procession of the celestial spheres, and are contained by their perfect number. But there is also a certain natural number belonging to every animal. For things of the same species would not be distinguished by organs after the same manner, nor would they arrive at puberty and old age about the same time, or generate, nor would the fœtus be nourished or increase, according to regular periods, unless they were detained by the same measure of nature. According to the best of the Pythagoreans also, Plato himself, number is the cause of better and worse generations. Hence though the Pythagoreans sometimes speak of the squares and cubes of natural numbers, they do not make them to be monadic, such as the number 9, and the number 27; but they signify through these names, from similitude, the progression of natural numbers into, and dominion about, generations. In like manner, though they call them equal or double, they exhibit the dominion and symphony of ideas in these numbers. Hence different things do not use the same number, so far as they are different, nor do the same things use a different number, so far as they are the same.

“In short, physical numbers are material forms divided about the subject which receives them. But material powers are the sources of connexion and modification to bodies. For form is one thing, and the power proceeding from it another. For form itself is indeed impartible and essential; but being extended, and becoming bulky, it emits from itself, as if it were a blast, material powers which are certain qualities. Thus, for instance, in fire, the form and essence of it is impartible, and is truly the image of the cause of fire: for in partible natures, the impartible has a subsistence. But from form which is impartible in fire, and which subsists in it as number, an extension of it accompanied with interval takes place about matter, from which the powers of fire are emitted, such as heat, or refrigeration, or moisture, or something else of the like kind. And these qualities are indeed essential, but are by no means the essence of fire. For essences do not proceed from qualities, nor are essence and power the same thing. But the essential every where precedes power. And from this being one the multitude of powers proceeds, and the distributed from that which is undistributed; just as many energies are the progeny of one power.”

P. 107. _For Pythagoras always proclaimed, that nothing admirable pertaining to the Gods or divine dogmas, should be disbelieved._

This in the Protreptics forms the fourth symbol, and is thus explained by Iamblichus:—“This dogma sufficiently venerates and unfolds the transcendency of the Gods, affording us a viaticum, and recalling to our memory that we ought not to estimate divine power from our judgment. But it is likely that some things should appear difficult and impossible to us, in consequence of our corporeal subsistence, and from our being conversant with generation and corruption; from our having a momentary existence; from being subject to a variety of diseases; from the smallness of our habitation; from our gravitating tendency to the middle; from our somnolency, indigence and repletion; from our want of counsel and our imbecility; from the impediments of our soul, and a variety of other circumstances, although our nature possesses many illustrious prerogatives. At the same time however we perfectly fall short of the Gods, and neither possess the same power with them, nor equal virtue. This symbol therefore in a particular manner introduces the knowledge of the Gods, as beings who are able to effect all things. On this account it exhorts us to disbelieve nothing concerning the Gods. It also adds, nor about divine dogmas; viz. those belonging to the Pythagoric philosophy. For these being secured by disciplines and scientific theory, are alone true and free from falsehood, being corroborated by all-various demonstration, accompanied with necessity. The same symbol, also, is capable of exhorting us to the science concerning the Gods: for it urges us to acquire a science of that kind, through which we shall be in no respect deficient in things asserted about the Gods. It is also able to exhort the same things concerning divine dogmas, and a disciplinative progression. For disciplines alone give eyes to, and produce light about, all things, in him who intends to consider and survey them. For from the participation of disciplines, one thing before all others is effected, viz. a belief in the nature, essence, and power of the Gods, and also in those Pythagoric dogmas, which appear to be prodigious to such as have not been introduced to, and are uninitiated in, disciplines; So that the precept _disbelieve not_ is equivalent to _participate_ and _acquire_ those things through which you will not disbelieve; that is to say, acquire disciplines and scientific demonstrations.”

P. 88. _After this manner therefore it is said that music was discovered by Pythagoras._

The following particulars relative to music are added for the purpose of elucidating what is said about it in this chapter.

“Take two brazen chords, such as are used in harps; for those chords which are made from the intestines of sheep are for the most part either false or obnoxious to the change of the air,

[Illustration: A—————————B C—————————D | E]

“Let these chords be perfectly equal, and equally stretched, so as to be in unison, i. e. so that there may be only one sound, though there are two strings. But it is requisite that they should be placed upon some oblong and polished rule. The ancients called this rule an harmonic rule, or also a monochord, by which instrument all consonances and dissonances, and likewise musical intervals, were tried. Let now one of these chords be bisected in E. Afterwards under the point E place what is vulgarly called the _tactus_, but which was denominated by the ancients, from its figure, a hemisphere. The tactus, therefore, being placed under E, press there the chord, so that one half of it only, as for instance ED, may be wholly struck and resound. Having therefore struck each of the chords at the same time, viz. the whole of AB, and the half ED, so that they may resound at one and the same time, you will hear the sweetest of all consonances, composed from the sound of the whole chord AB, and the sound of the half ED. This consonance the ancients called diapason, i. e. _through all_ [the chords], because in the musical instruments of the ancients, the two extreme chords, i. e. the most grave, and the most acute of all the chords, contained this consonance; so that, from the gravest chord having made a transition through all the chords to the supreme and most acute of all, they would hear this sweetest consonance. It was, likewise, said to be in a duple ratio of the proportion of one sound to the other. For the sound of the chord AB is doubly greater or more grave than the sound of the half ED. For as sounding bodies are to each other, so are their sounds. But the chord AB is the double of ED. This, however, is now commonly called the octave, because from the first sound, and that the gravest, which is called _ut_, as far as to that sound which corresponds to it in the consonance diapason, there are these eight sounds, _ut_, _re_, _mi_, _fa_, _sol_, _re_, _mi_, _fa_. And of these the first ut, and the last _fa_, which is the eighth, produce the consonance diapason, or the double, or the octave.

“Again, let the same chord CD be divided into three equal parts in the points F, G.

[Illustration: A————————————B C————————————D | | F G]

“FD, therefore, will be two-thirds as well of the whole CD as of the whole AB. Let the tactus now be placed in F, and let AB and FD be struck at the same time, and a consonance very sweet and perfect will indeed be heard, yet not so sweet as the diapason. This the ancients called diapente (i. e. through five chords), because the first and the fifth chord produce this consonance. But according to proportion it is called sesquialter, because the chord AB is sesquialter to FD, and consequently the sounds of these chords also are in the same ratio. But sesquialter ratio is when the greater quantity AB contains the less FD once, and the half of it besides. It is, indeed, commonly called the fifth, because it is composed from the first sound _ut_, and the fifth, _sol_.

“Again, let the same chord be cut into four equal parts in the points H, E, I,

[Illustration: A——————————————————————————B C——————————————————————————D | | | | | | | | | K L H F M N E G I]

“so that the chord HD, may be three-fourths of the whole CD. The tactus, therefore, being placed in H, let AB and HD be struck at one and the same time, and a consonance will be heard, indeed, yet more imperfect than the preceding two. This was called by the ancients diatessaron, i. e. through four chords or sounds, for a similar reason to that by which the former were denominated. With reference, however, to the ratio of the chords and sounds, it is called sesquitertian, because the greater AB contains the less once, and a third part of it besides. But it is now commonly called a fourth, because it is found between the first sound _ut_, and the fourth _fa_. If now the point F be added in the preceding figure, and at one and the same time two chords HD and FD are compared in arithmetical ratios, we shall find that the greater HD will have to the less FD a sesquioctave[105] ratio, and the sound of the greater HD to the less FD will have the same ratio, i. e. in modern terms, that between _fa_ and _sol_ there is a sesquioctave ratio. But if these two sounds are heard together, they will be discordant to the ear. Again, the distance between these sounds _fa_, _sol_, or between the chords HD and FD, or between the two harmonic intervals HD and FD, the ratio of which was sesquioctave, was called by the ancients a tone. Afterwards they divided the whole of CD into nine equal parts, the first of which is divided in K, so that the whole CD may have to the remainder KD, which contains eight of those parts, a sesquioctave ratio. This, in like manner, will be the interval of a tone, the first sound of which, i. e, of the whole CD, is now called _ut_, but the second sound of the rest of the chord KD is called _re_. Afterwards they in a similar manner divided the remainder KD into nine parts, the first part of which is marked in the point L. And for the same reason between the chord KD and the chord KD, and their sounds, there will be a sesquioctave ratio. The sound of the chord LD is now called _mi_; but the interval which remains between the chord LD and the chord HD has not a sesquioctave ratio, but less than it almost by half, and therefore an interval of this kind was called a semitone, and also diesis or a division. But that interval which remains between the points F and E they divided after the same manner, as the space between C and H was divided, and they again found the same sounds. Let those divisions be marked by the points M and N; and here, also, between N and E, or between _mi_ and _fa_, there is in like manner another semitone. These eight sounds, therefore, are _ut_, _re_, _mi_, _fa_, _sol_, _re_, _mi_, _fa_, which compose the whole diapason. For as we have before observed, between _ut_ and the last _fa_ is the consonance diapason, or between the chord CD or AB, and the chord ED. But from the intervals which are between the sounds there are two semitones, viz. one between _mi_ and _fa_, denoted by the letters L, N, and the other between the last _mi_ and _fa_, denoted by the letters N, E. The remaining five intervals are entire tones. It must, also, be observed, that from _ut_ to the first _sol_ is the consonance diapente, which contains three tonic intervals, and one semitone; nevertheless in all there are five sounds, _ut_, _re_, _mi_, _fa_, _sol_.

“Again, from _sol_ to the last _fa_ there are four sounds, _sol_, _re_, _mi_, _fa_, which are perfectly similar to the first four, _ut_, _re_, _mi_, _fa_. Nevertheless these are more grave, but those are more acute. And as from _ut_ to the first _fa_ is the diatessaron, so likewise from _sol_ to the last _fa_ is another diatessaron, from which, in the last place, it must be observed, it follows that the two consonances diatessaron and diapente constitute the whole diapason; or that the diapason is divided into one diatessaron, and one diapente. For from _ut_ to _sol_ is the diapente, but from _sol_ to the last _fa_ is the diatessaron. This will also be the case if we should say that from _ut_ to the first _fa_ is the diatessaron, as is evident from the division of the chord; but from the first _fa_ to the last _fa_ is the diapente, as is evident from the four intervals of the chord, three of which are tones, and the remaining interval is a semitone, which also in the other diapente were contained between _ut_ and _sol_.

“Now again, let the tactus be placed in I; but I is the fourth part of the whole CD. Let, also, AB and ID be struck at one and the same time, and the sweetest consonance, called bisdiapason, will be produced; which is so denominated, because it is composed from two diapasons, of which the first is between AB or CD, and ED, but the second is between ED and ID; for the ratio of these is double as well as of those. The ratio, also, of the bisdiapason is quadruple, as is evident from the division; and is commonly called a fifteenth, because from the first _ut_ to this sound, which is also denominated _fa_, there would be fifteen sounds, if the interval EI were divided after the same manner as the first CE is divided.

“Farther still, let GD be a third part of the whole CD, and let the tactus be placed in G. Then at one and the same time let AB and GD be struck, and a sweet consonance will be heard, which is called diapasondiapente, because it is composed from one diapason contained by the interval CE, or the two chords CD, ED, and one diapente, contained by the interval EG, or the chords ED, GD. For the chord ED is sesquialter to the chord GD; which ratio constitutes the nature of the diapente. The proportion, also, of this consonance is triple. For the chord AB or CD is triple of GD; and it is commonly called the twelfth, because between _ut_ and _sol_, denoted by the letter G, there would be twelve sounds, if the interval EG received its divisions. From all which it is manifest by the experience of the ear, that there are altogether five consonances, three simple, the diapason, the diapente, and the diatessaron; but two composite, the bisdiapason, and the diapasondiapente.”

In the last place, it is necessary to observe that those ancient Greeks differently denominated these sounds, _ut_, _re_, &c. For the first, i. e. the gravest sound or chord, which is now called _ut_, they, denominated hypate, and the others in the following order:

Ut, Hypate, i. e. Principalis. Re, Parhypate, — Postprincipalis. Mi, Lychanos, — Index. Fa, Mese, — Media. Sol, Paramese, — Postmedia. Re, Trite, — Tertia. Mi, Paranete, — Antepenultima. Fa, Nete, — Ultima, vel suprema.

P. 109. _I swear by him who the tetractys found._

The tetrad was called by the Pythagoreans every number, because it comprehends in itself all the numbers as far as to the decad, and the decad itself; for the sum of 1, 2, 3, and 4, is 10. Hence both the decad and the tetrad were said by them to be every number; the decad indeed in energy, but the tetrad in capacity. The sum likewise of these four numbers was said by them to constitute the tetractys, in which all harmonic ratios are included. For 4 to 1, which is a quadruple ratio, forms the symphony bisdiapason; the ratio of 3 to 2, which is sesquialter, forms the symphony diapente; 4 to 3, which is sesquitertian, the symphony diatessaron; and 2 to 1, which is a duple ratio, forms the diapason.

In consequence, however, of the great veneration paid to the tetractys by the Pythagoreans, it will be proper to give it a more ample discussion, and for this purpose to show from Theo of Smyrna,[106] how many tetractys there are: “The tetractys,” says he, “was not only principally honored by the Pythagoreans, because all symphonies are found to exist within it, but also because it appears to contain the nature of all things.” Hence the following was their oath: “Not by him who delivered to our soul the tetractys, which contains the fountain and root of everlasting nature.” But by him who delivered the tetractys they mean Pythagoras; for the doctrine concerning it appears to have been his invention. The above-mentioned tetractys, therefore, is seen in the composition of the first numbers 1. 2. 3. 4. But the second tetractys arises from the increase by multiplication of even and odd numbers beginning from the monad.