The transition from the form of outward morals to morality as existent, is more important. As in Thales’ time, law-givers and administrators of states were preeminent in possessing a physical philosophy, so we see that with Pythagoras practical philosophy is advocated as the means of constituting a moral life. There we have the speculative Idea, the absolute essence, in its reality, and in a definite, sensuous existence; and similarly the moral life is submerged in actuality as the universal spirit of a people, and as their laws and rule. In Pythagoras, on the contrary, we have the reality of absolute essence raised, in speculation, out of sensuous reality, and expressed, though still imperfectly, as the essence of thought. Morality is likewise partly raised out of actuality as ordinarily known; it is certainly a moral disposition of all actuality, but as a brotherhood, and not as the life of a people. The Pythagorean League is an arbitrary existence and not a part of the constitution recognized by public sanction; and in his person Pythagoras isolated himself as teacher, as he also did his followers. The universal consciousness, the spirit of a people, is the substance of which the accident is the individual consciousness; the speculative is thus the fact that pure, universal law is absolute, individual consciousness, so that this last, because it draws therefrom its growth and nourishment, becomes universal self-consciousness. These two sides do not, however, come to us in the form of the opposition; it is first of all in morality that there is properly this Notion of the absolute individuality of consciousness which does everything on its own account. But we see that it was really present to the mind of Pythagoras that the substance of morality is the universal, from an example in Diogenes Laertius (VIII. 16). “A Pythagorean answered to the question of a father who inquired as to the best education he could give his son, that it should be that which would make him the citizen of a well-regulated State.” This answer is great and true; to the great principle of living in the spirit of one’s people, all other circumstances are subordinate. Nowadays men try to keep education free from the spirit of the times, but they cannot withdraw themselves from this supreme power, the State, for even if they try to separate themselves, they unconsciously remain beneath this universal. The speculative meaning of the practical philosophy of Pythagoras thus is, that in this signification, the individual consciousness shall obtain a moral reality in the brotherhood. But as number is a middle thing between the sensuous and Notion, the Pythagorean brotherhood is a middle between universal, actual morality and maintaining that in true morality the individual, as an individual, is responsible for his own behaviour; this morality ceases to be universal spirit. If we wish to see practical philosophy reappear, we shall find it; but, on the whole, we shall not see it become really speculative until very recent times.
We may satisfy ourselves with this as giving us an idea of the Pythagorean system. I will, however, shortly give the principal points of the criticism which Aristotle (Met. I. 8) makes upon the Pythagorean number-form. He says justly, in the first place: “If only the limited and the unlimited, the even and odd are made fundamental ideas, the Pythagoreans do not explain how movement arises, and how, without movement and change there can be coming into being and passing away, or the conditions and activities of heavenly objects.” This defect is significant; arithmetical numbers are dry forms and barren principles in which life and movement are deficient. Aristotle says secondly, “From number no other corporeal determinations, such as weight and lightness, are conceivable;” or number thus cannot pass into what is concrete. “They say that there is no number outside of those in the heavenly spheres.” For instance, a heavenly sphere and a virtue, or a natural manifestation in the earth, are determined as one and the same number. Each of the first numbers may be exhibited in each thing or quality; but in so far as number is made to express a further determination, this quite abstract, quantitative difference becomes altogether formal; it is as if the plant were five because it has five stamens. This is just as superficial as are determination through elements or through particular portions of the globe; it is a method as formal as that by which men now try to apply the categories of electricity, magnetism, galvanism, compression and expansion, of manly and of womanly, to everything. It is a purely empty system of determination where reality should be dealt with.
To Pythagoras and his disciples there are, moreover, many scientific conclusions and discoveries ascribed, which, however, do not concern us at all. Thus, according to Diogenes Laertius (VIII. 14, 27), he is said to have known that the morning and evening star is the same, and that the moon derives her light from the sun. We have already mentioned what he says of music. But what is best known is the Pythagorean Theorem; it really is the main proposition in geometry, and cannot be regarded like any other theorem. According to Diogenes, (VIII. 12), Pythagoras, on discovering the theorem, sacrificed a hecatomb, so important did he think it; and it may indeed seem remarkable that his joy should have gone so far as to ordain a great feast to which rich men and all the people were invited. It was worth the trouble; it was a rejoicing, a feast of spiritual cognition—at the cost of the oxen.
Other ideas which are brought forward by the Pythagoreans casually and without any connection, have no philosophic interest, and need only be mentioned. Aristotle, for instance, says (Phys. IV. 6) that “the Pythagoreans believed in an empty space which the heavens inspire, and an empty space which separates natural things and brings about the distinction between continuous and discrete; it first exists in numbers and makes them to be different.” Diogenes Laertius (VIII. 26-28) says much more, all of which is dull; this is like the later writers, who, generally speaking, take up what is external and devoid of any intellectual meaning. “The air which encircles the earth is immovable” (ἄσειστον, at least through itself) “and diseased, and all that is in it is mortal; but what is highest is in continual movement, pure and healthy, and in it everything is immortal—divine. Sun, moon and the other stars are gods, for in them warmth has predominance and is the cause of life. Man is related to the gods because he participates in warmth, and hence God cares for us. A ray penetrates from the sun through the thick and cold ether and gives life to everything; they call air, cold ether, the sea and moisture, thick ether. The soul is a detached portion of ether.”
C. The Eleatic School.
The Pythagorean philosophy has not yet got the speculative form of expression for the Notion. Numbers are not pure Notion, but Notion in the form of ordinary idea or sensuous perception, and hence a mixture of both. This expression of absolute essence in what is a pure Notion or something thought, and the movement of the Notion or of Thought, is that which we find must come next, and this we discover in the Eleatic school. In it we see thought becoming free for itself; and in that which the Eleatics express as absolute essence, we see Thought grasp itself in purity, and the movement of Thought in Notions. In the physical philosophy we saw movement represented as an objective movement, as an origination and passing away. The Pythagoreans similarly did not reflect upon these Notions, and also treated their essence, Number, as fleeting. But since alteration is now grasped in its highest abstraction as Nothing, this objective movement changes into a subjective one, comes over to the side of consciousness, and existence becomes the unmoved. We here find the beginning of dialectic, i.e. simply the pure movement of thought in Notions; likewise we see the opposition of thought to outward appearance or sensuous Being, or of that which is implicit to the being-for-another of this implicitness, and in the objective existence we see the contradiction which it has in itself, or dialectic proper. When we reflect in anticipation on how the course of pure thought must be formed, we find (α) that pure thought (pure Being, the One) manifests itself immediately in its rigid isolation and self-identity, and everything else as null; (β) that the hitherto timid thought—which after it is strengthened, ascribes value to the “other” and constitutes itself therefrom—shows that it then grasps the other in its simplicity and even in so doing shows its nullity; (γ) finally, Thought manifests the other in the manifold nature of its determinations. We shall see this in the development and culture of the Eleatics in history. These Eleatic propositions still have interest for Philosophy, and are moments which must necessarily there appear.
Xenophanes, Parmenides, Melissus and Zeno are to be reckoned as belonging to this school. Xenophanes may be regarded as the founder of it; Parmenides is supposed to have been his pupil, and Melissus, and especially Zeno, are called the pupils of Parmenides. In fact, they are to be taken together as forming the Eleatic school; later on it lost the name, being then called Sophistic, and its locality was transferred to Greece proper. What Xenophanes began, Parmenides and Melissus developed further, and similarly Zeno perfected what these two taught. Aristotle (Metaph. I. 5) characterizes the first three thus: “Parmenides seems to comprehend the one as Notion (κατὰ τὸν λόγον), Melissus as matter (κατὰ τὴν ὕλην); hence the former says that it is limited (πεπερασμένον) and the latter that it is unlimited (ἄπειρον). But Xenophanes, who was the first of them to express the theory of the One, made the matter no plainer (διεσαφήνισεν), nor did he deal with either of these aspects (φύσεως), but looking into the heavens”—as we say, into the blue—“said, God is the One. Xenophanes and Melissus are on the whole less civilized (μικρὸν ἀγροικότεροι); Parmenides, however, is more acute (μᾶλλον βλέπων).” There is less to say of Xenophanes and Melissus, and what has come to us from the latter in particular—in fragments and derived from the sayings of others—is still in a state of ferment, and in his case there is least knowledge obtainable. On the whole, philosophic utterances and Notions are still poor, and it was in Zeno that Philosophy first attained to a purer expression of itself.
1. Xenophanes.
The period at which he lived is clear enough, and as this suffices, it is a matter of indifference that the year of his birth and of his death is unknown. According to Diogenes Laertius (IX. 18), he was contemporary with Anaximander and Pythagoras. Of his circumstances further than this, it is only known that he, for reasons which are unknown, escaped from his native town, Colophon, in Asia Minor, to Magna Græcia, and resided for the most part at Zancle, (now Messina) and Catana (still called Catania) in Sicily. I find it nowhere said by the ancients that he lived at Elea, although all recent writers on the history of Philosophy repeat it, one after the other. Tennemann, in particular, says (Vol. I. pp. 151 and 414), that about the 61st Olympiad (536 B.C.), he repaired from Colophon to Elea. Diogenes Laertius (IX. 20), however, only says that he flourished about the 60th Olympiad and that he made two thousand verses on the colonization of Elea, from which it might be easily concluded that he was also born at Elea. Strabo says this in the beginning of his sixth book—when describing Elea—of Parmenides and Zeno only, and these he called Pythagoreans; hence, according to Cicero (Acad. Quæst. IV. 42) the Eleatic school took its name from these two. Xenophanes was nearly a hundred years old, and lived to see the Median wars: it is said that he became so poor that he had not the means of having his children buried, and was obliged to do so with his own hands. Some say that he had no teacher; others name Archelaus, which is a chronological error.
He wrote a book “On Nature,” the general subject and title of Philosophy at that time; some verses have been preserved to us which so far show no powers of reasoning. Professor Brandis of Bonn collected them together, with the fragments of Parmenides and Melissus, under the title “Commentationum Eleaticarum, P. 1,” Altonæ, 1813. The older philosophers wrote in verse, for prose comes much later on; on account of the awkward and confused mode of expression in Xenophanes’ poems, Cicero calls them (Acad. Quæst. IV. 23): minus boni versus.