Part 3

4. THE CARRYING-OUT OF THIS PRINCIPLE.—From the very nature of the “number-principle,” it follows that its complete application to the province of the real, can only lead to a fruitless and empty symbolism. If we take numbers as even and odd, and still farther as finite and infinite, and apply them as such to astronomy, music, psychology, ethics, &c., there arise combinations like the following, viz.: one is the point, two are the line, three are the superficies, four are the extension of a body, five are the condition (_beschaffenheit_), &c.—still farther, the soul is a musical harmony, as is also virtue, the soul of the world, &c. Not only the philosophical, but even the historical interest here ceases, since the ancients themselves—as was unavoidable from the arbitrary nature of such combinations—have given the most contradictory account, some affirming that the Pythagoreans reduced righteousness to the number three, others, that they reduced it to the number four, others again to five, and still others to nine. Naturally, from such a vague and arbitrary philosophizing, there would early arise, in this, more than in other schools, a great diversity of views, one ascribing this signification to a certain mathematical form, and another that. In this mysticism of numbers, that which alone has truth and value, is the thought, which lies at the ground of it all, that there prevails in the phenomena of nature a rational order, harmony and conformity to law, and that these laws of nature can be represented in measure and number. But this truth has the Pythagorean school hid under extravagant fancies, as vapid as they are unbridled.

The physics of the Pythagoreans possesses little scientific value, with the exception of the doctrine taught by Philolaus respecting the circular motion of the earth. Their ethics is also defective. What we have remaining of it relates more to the Pythagorean life, _i. e._ to the practice and discipline of their order than to their philosophy. The whole tendency of Pythagoreanism was in a practical respect ascetic, and directed to a strict culture of the character. As showing this, we need only to cite their doctrines concerning the transmigration of the soul, or, as it has been called, their “immortality doctrine,” their notion in respect of the lower world, their opposition to suicide, and their view of the body as the prison of the soul—all of which ideas are referred to in Plato’s Phædon, and the last two of which are indicated as belonging to Philolaus.

SECTION VI

THE ELEATICS.

1. RELATION OF THE ELEATIC PRINCIPLE TO THE PYTHAGOREAN.—While the Pythagoreans had made matter, in so far as it is quantity and the manifold, the basis of their philosophizing, and while in this they only abstracted from the determined elemental condition of matter, the Eleatics carry the process to its ultimate limit, and make, as the principle of their philosophy, a total abstraction from every finite determinateness, from every change and vicissitude which belongs to concrete being. While the Pythagoreans had held fast to the form of being as having existence in space and time, the Eleatics reject this, and make as their fundamental thought the negation of all exterior and posterior. Only being is, and there is no not-being, nor becoming. This being is the purely undetermined, changeless ground of all things. It is not being _in_ becoming, but it is being as exclusive of all becoming; in other words, it is pure being.

Eleaticism is, therefore, Monism, in so far as it strove to carry back the manifoldness of all being to a single ultimate principle; but on the other hand it becomes Dualism, in so far as it could neither carry out its denial of concrete existence, _i. e._, the phenomenal world, nor yet derive the latter from its presupposed original ground. The phenomenal world, though it might be explained as only an empty appearance, did yet exist; and, since the sensuous perception would not ignore this, there must be allowed it, hypothetically at least, the right of existence. Its origin must be explained, even though with reservations. This contradiction of an unreconciled Dualism between being and existence, is the point where the Eleatic philosophy is at war with itself—though, in the beginning of the school—with _Xenophanes_, it does not yet appear. The principle itself, with its results, is only fully apparent in the lapse of time. It has three periods of formation, which successively appear in three successive generations. Its foundation belongs to _Xenophanes_; its systematic formation to _Parmenides_; its completion and partial dissolution to _Zeno_ and _Melissus_—the latter of whom we can pass by.

2. XENOPHANES.—Xenophanes is considered as the originator of the Eleatic tendency. He was born at Colophon; emigrated to Elea, a Phocian colony in Lucania, and was a younger cotemporary of Pythagoras. He appears to have first uttered the proposition—“every thing is one,” without, however, giving any more explicit determination respecting this unity, whether it be one simply in conception or in actuality. Turning his attention, says Aristotle, upon the world as a whole, he names the unity which he finds, God. God is the One. The Eleatic “One and All” (ἒν καὶ πᾶν) had, therefore, with Xenophanes, a theological and religious character. The idea of the unity of God, and an opposition to the anthropomorphism of the ordinary views of religion, is his starting point. He declaimed against the delusion that the gods were born, that they had a human voice or form, and railed at the robbery, adultery, and deceit of the gods as sung by Homer and Hesiod. According to him the Godhead is wholly seeing, wholly understanding, wholly hearing, unmoved, undivided, calmly ruling all things by his thought, like men neither in form nor in understanding. In this way, with his thought turned only towards removing from the Godhead all finite determinations and predicates, and holding fast to its unity and unchangeableness, he declared this doctrine of its being to be the highest philosophical principle, without however directing this principle polemically against the doctrine of finite being, or carrying it out in its negative application.

3. PARMENIDES.—The proper head of the Eleatic school is Parmenides of Elea, a scholar, or at least an adherent of Xenophanes. Though we possess but little reliable information respecting the circumstances of his life, yet we have, in inverse proportion, the harmonious voice of all antiquity in an expression of reverence for the Eleatic sage, and of admiration for the depth of his mind, as well as for the earnestness and elevation of his character. The saying—“a life like Parmenides,” became afterwards a proverb among the Greeks.

Parmenides embodied his philosophy in an epic poem, of which we have still important fragments. It is divided into two parts. In the first he discusses the conception of being. Rising far above the yet unmediated view of Xenophanes, he attains a conception of pure single being, which he sets up as absolutely opposed to every thing manifold and changeable, _i. e._, to that which has no being, and which consequently cannot be thought. From this conception of being he not only excludes all becoming and departing, but also all relation to space and time, all divisibility and movement. This being he explains as something which has not become and which does not depart, as complete and of its own kind, as unalterable and without limit, as indivisible and present though not in time, and since all these are only negative, he ascribes to it, also, as a positive determination—thought. Being and thought are therefore identical with Parmenides. This pure thought, directed to the pure being, he declares is the only true and undeceptive knowledge, in opposition to the deceptive notions concerning the manifoldness and mutability of the phenomenal. He has no hesitancy in holding that to be only a name which mortals regard as truth, viz., becoming and departing, being and not-being, change of place and vicissitude of circumstance. We must therefore be careful not to hold “the One” of Parmenides, as the collective unity of all concrete being.

So much for the first part of Parmenides’ poem. After the principle that there is only being has been developed according to its negative and positive determinations, we might believe that the system was at an end. But there follows a second part, which is occupied solely with the hypothetical attempt to explain the phenomenal world and give it a physical derivation. Though firmly convinced that, according to reason and conception, there is only “the One,” yet is Parmenides unable to withdraw himself from the recognition of an appearing manifoldness and change. Forced, therefore, by his sensuous perception to enter upon a discussion of the phenomenal world, he prefaces this second part of his poem with the remark, that he had now closed what he had to say respecting the truth, and was hereafter to deal only with the opinion of a mortal. Unfortunately, this second part has been very imperfectly transmitted to us. Enough however remains to show, that he explained the phenomena of nature from the mingling of two unchangeable elements, which Aristotle, though apparently only by way of example, indicates as warm and cold, fire and earth. Concerning these two elements, Aristotle remarks still farther that Parmenides united the warmth with being, and the other element with not-being.

It is scarcely necessary to remark that between the two parts of the Parmenidean philosophy—between the doctrine concerning being and the doctrine concerning appearance—there can exist no inner scientific connection. What Parmenides absolutely denies in the first part, and indeed declares to be unutterable, viz., the not-being, the many and the changeable, he yet in the second part admits to have an existence at least in the representation of men. But it is clear that the not-being cannot once exist in the representation, if it does not exist generally and every where, and that the attempt to explain a not-being of the representation, is in complete contradiction with his exclusive recognition of being. This contradiction, this unmediated juxtaposition of being and not-being, of the one and the many, _Zeno_, a scholar of Parmenides, sought to remove, by affirming that from the very conception of being, the sensuous representation, and thus the world of the not-being, are dialectically annihilated.

4. ZENO.—The Eleatic Zeno was born about 500 B. C.; was a scholar of Parmenides, and the earliest prose writer among the Grecian philosophers. He is said to have written in the form of dialogues. He perfected, dialectically, the doctrine of his master, and carried out to the completest extent the abstraction of the Eleatic One, in opposition to the manifoldness and determinateness of the finite. He justified the doctrine of a single, simple, and unchangeable being, in a polemical way, by showing up the contradictions into which the ordinary representations of the phenomenal world become involved. While Parmenides affirms that there is only the One, Zeno shows in his well-known proofs (which unfortunately we cannot here more widely unfold), that the many, the changing, that which has relation to space, or that which has relation to time, is not. While Parmenides affirmed the being, Zeno denied the appearance. On account of these proofs, in which Zeno takes up the conceptions of extension, manifoldness and movement, and shows their inner contradictory nature, Aristotle names him the founder of dialectics.

While the philosophizing of Zeno is the completion of the Eleatic principle, so is it at the same time the beginning of its dissolution. Zeno had embraced the opposition of being and existence, of the one and the many, so abstractly, and had carried it so far, that with him the inner contradiction of the Eleatic principle comes forth still more boldly than with Parmenides; for the more logical he is in the denial of the phenomenal world, so much the more striking must be the contradiction, of turning, on the one side, his whole philosophical

## activity to the refutation of the sensuous representation, while, on the

other side, he sets over against it a doctrine which destroys the very possibility of a false representation.

SECTION VII.

HERACLITUS.

1. RELATION OF THE HERACLITIC PRINCIPLE TO THE ELEATIC.—Being and existence, the one and the many, could not be united by the principle of the Eleatics; the Monism which they had striven for had resulted in an ill-concealed Dualism. Heraclitus reconciled this contradiction by affirming that being and not-being, the one and the many, existed at the same time as the becoming. While the Eleatics could not extricate themselves from the dilemma that the world is either being or not-being, Heraclitus removes the difficulty by answering—it is neither being nor not-being, because it is both.

2. HISTORICAL AND CHRONOLOGICAL.—Heraclitus, surnamed by later writers the mystic, was born at Ephesus, and flourished about 500 B. C. His period was subsequent to that of Xenophanes, though partially cotemporary with that of Parmenides. He laid down his philosophical thoughts in a writing “Concerning Nature,” of which we possess only fragments. Its rapid transitions, its expressions so concise, and full of meaning, the general philosophical peculiarity of Heraclitus, and the antique character of the earliest prose writings, all combine to make this work so difficult to be understood that it has long been a proverb. Socrates said concerning it, that “what he understood of it was excellent, and he had no doubt that what he did not understand was equally good; but the book requires an expert swimmer.” Later Stoics and Academicians have written commentaries upon it.

3. THE PRINCIPLE OF THE BECOMING.—The ancients unite in ascribing to Heraclitus the principle that the totality of things should be conceived in an eternal flow, in an uninterrupted movement and transformation, and that all continuance of things is only appearance. “Into the same stream,” so runs a saying of Heraclitus, “we descend, and at the same time we do not descend; we are, and also we are not. For into the same stream we cannot possibly descend twice, since it is always scattering and collecting itself again, or rather it at the same time flows to us and from us.” There is, therefore, ground for the assertion that Heraclitus had banished all rest and continuance from the totality of things; and it is doubtless in this very respect that he accuses the eye and the ear of deception, because they reveal to men a continuance where there is only an uninterrupted change.

Heraclitus has analyzed the principle of the becoming still more closely, in the propositions which he utters, to account for the origin of things, where he shows that all becoming must be conceived as the product of warring opposites, as the harmonious union of opposite determinations. Hence his two well-known propositions: “Strife is the father of things,” and “The One setting itself at variance with itself, harmonizes with itself, like the harmony of the bow and the viol.” “Unite,” so runs another of his sayings, “the whole and the not-whole, the coalescing and the not-coalescing, the harmonious and the discordant, and thus we have the one becoming from the all, and the all from the one.”

4. THE PRINCIPLE OF FIRE.—In what relation does the principle of fire, which is also ascribed to Heraclitus, stand to the principle of the becoming? Aristotle says that he took fire as his principle, in the same way that Thales took water, and Anaximenes took air. But it is clear we must not interpret this to mean that Heraclitus regarded fire as the original material or fundamental element of things, after the manner of the Ionics. If he ascribed reality only to the becoming, it is impossible that he should have set by the side of this becoming, yet another elemental matter as a fundamental substance. When, therefore, Heraclitus calls the world an ever-living fire, which in certain stages and certain degrees extinguishes and again enkindles itself, when he says that every thing can be exchanged for fire, and fire for every thing, just as we barter things for gold and gold for things, he can only mean thereby that fire represents the abiding power of this eternal transformation and transposition, in other words, the conception of life, in the most obvious and effective way. We might name fire, in the Heraclitic sense, the symbol or the manifestation of the becoming, but that it is also with him the substratum of movement, _i. e._ the means with which the power of movement, which is antecedent to all matter, serves it self in order to bring out the living process of things. In the same way Heraclitus goes on to explain the manifoldness of things, by affirming that they arise from certain hindrances and a partial extinction of this fire. The product of its extremest hindrance is the earth, and the other things lie intermediately between.

5. TRANSITION TO THE ATOMISTS.—We have above regarded the Heraclitic principle as the consequent of the Eleatic, but we might as properly consider the two as antitheses. While Heraclitus destroys all abiding being in an absolutely flowing becoming, so, on the other hand, Parmenides destroys all becoming in an absolutely abiding being; and while the former charges the eye and the ear with deception, in that they transform the flowing becoming into a quiescent being, the latter also accuses these same senses of an untrue representation, in that they draw the abiding being into the movement of the becoming. We can therefore say that the being and the becoming are equally valid antitheses, which demand again a synthesis and reconciliation. But now can we say that Heraclitus actually and satisfactorily solved the problem of Zeno? Zeno had shown every thing actual to be a contradiction, and from this had inferred their not-being, and it is only in this inference that Heraclitus deviates from the Eleatics. He also regarded the phenomenal world as an existing contradiction, but he clung to this contradiction as to an ultimate fact. That which had been the negative result of the Eleatics, he uttered as his positive principle. The dialectics which Zeno had subjectively used against the phenomenal, he directed objectively as a proof for the becoming. But this becoming which the Eleatics had thought themselves obliged to deny entirely, Heraclitus did not explain by simply asserting that it was the only true principle. The question continually returned—why is all being a becoming? Why does the one go out over into the many? To give an answer to this question, _i. e._ to explain the becoming from the presupposed principle of being, forms the standpoint and problem of the _Empedoclean_ and _Atomistic_ philosophy.

SECTION VIII.

EMPEDOCLES.

1. GENERAL VIEW.—Empedocles was born at Agrigentum, and is extolled by the ancients as a natural philosopher, physician and poet, and also as a seer and worker of miracles. He flourished about 440 B. C., and was consequently younger than Parmenides and Heraclitus. He wrote a doctrinal poem concerning nature, which has been preserved to us in tolerably complete fragments. His philosophical system may be characterized in brief, as an attempt to combine the Eleatic being and the Heraclitic becoming. Starting with the Eleatic thought, that neither any thing which had previously been could become, nor any thing which now is could depart, he sets up as unchangeable being, four eternal original materials, which, though divisible, were independent, and underived from each other. In this we have what in our day are called the four elements. With this Eleatic thought he united also the Heraclitic view of nature, and suffered his four elements to become mingled together, and to receive a form by the working of two moving powers, which he names unifying friendship and dividing strife. Originally, these four elements were absolutely alike and unmovable, dwelling together in a divine sphere where friendship united them, until gradually strife pressing from the circumference to the centre of the sphere (_i. e._ attaining a separating activity), broke this union, and the formation of the world immediately began as the result.

2. THE FOUR ELEMENTS.—With his doctrine of the four elements, Empedocles, on the one side, may be joined to the series of the Ionic philosophers, but, on the other, he is excluded from this by his assuming the original elements to be four. He is distinctly said by the ancients to have originated the theory of the four elements. He is more definitely distinguished from the old Ionics, from the fact that he ascribed to his four “root-elements” a changeless being, by virtue of which they neither arose from each other nor departed into each other, and were capable of no change of essence but only of a change of state. Every thing which is called arising and departing, every change rests therefore only upon the mingling and withdrawing of these eternal and fundamental materials; the inexhaustible manifoldness of being rests upon the different proportions in which these elements are mingled. Every becoming is conceived as such only as a change of place. In this we have a mechanical in opposition to a dynamic explanation of nature.

3. THE TWO POWERS.—Whence now can arise any becoming, if in matter itself there is found no principle to account for the change? Since Empedocles did not, like the Eleatics, deny that there was change, nor yet, like Heraclitus, introduce it in his matter, as an indwelling principle, so there was no other course left him but to place, by the side of his matter, a moving power. The opposition of the one and the many which had been set up by his predecessors, and which demanded an explanation, led him to ascribe to this moving power, two originally diverse directions, viz.: repulsion and attraction. The separation of the one into the many, and the union again of the many into the one, had indicated an opposition of powers which Heraclitus had already recognized. While now Parmenides starting from the one had made love as his principle, and Heraclitus starting from the many had made strife as his, Empedocles combines the two as the principle of his philosophy. The difficulty is, he has not sufficiently limited in respect to one another, the sphere of operation of these two directions of his power. Although, to friendship belonged peculiarly the attractive, and to strife the repelling function, yet does Empedocles, on the other hand, suffer his strife to have in the formation of the world a unifying, and his friendship a dividing effect. In fact, the complete separation of a dividing and unifying power in the movement of the becoming, is an unmaintainable abstraction.

4. RELATION OF THE EMPEDOCLEAN TO THE ELEATIC AND HERACLITIC PHILOSOPHY.—Empedocles, by placing, as the principle of the becoming, a moving power by the side of his matter, makes his philosophy a mediation of the Eleatic and Heraclitic principles, or more properly a placing of them side by side. He has interwoven these two principles in equal proportions in his system. With the Eleatics he denied all arising and departing, _i. e._ the transition of being into not-being and of not-being into being, and with Heraclitus he shared the interest to find an explanation for change. From the former he derived the abiding, unchangeable being of his fundamental matter, and from the latter the principle of the moving power. With the Eleatics, in fine, he considered the true being in an original and indistinguishable unity as a sphere, and with Heraclitus, he regarded the present world as a constant product of striving powers and oppositions. He has, therefore, been properly called an Eclectic, who has united the fundamental thoughts of his two predecessors, though not always in a logical way.

SECTION IX.

THE ATOMISTIC PHILOSOPHY.