Simplicius makes this note to the Physics of Aristotle (p. 22 b): “No more can anything arise out of the existent, for the existent already is, and thus does not first arise from the existent.”
“As eternal, the existent also is unlimited, since it has no beginning from which it came, nor end in which it ceases. The infinite all is one, for, if there were two or more, they would limit one another,” and thus have a beginning and end. The one would be the nothing of the other and come forth from this nothing. “This one is like itself; for if it were unlike it would no longer be the one that was posited, but many. This one is likewise immovable, inasmuch as it does not move itself, since it does not pass out into anything. In passing out, it would require to do so into what is full or what is empty; it could not be into the full, for that is an impossibility, and just as little could it be into what is empty, for that is the nothing. The one, therefore, is in this way devoid of pain or suffering, not changing in position or form, or mingling with what is different. For all these determinations involve the origination of non-being and passing away of Being, which is impossible.” Thus here again the contradiction which takes place when origination and passing away are spoken of, is revealed.
Now Melissus places opinion in opposition to this truth. The change and multiplicity extinguished in Being appears on the other side, in consciousness, as in what is opinionative; it is necessary to say this if only the negative side, the removal of these moments, the Absolute as destitute of predicate, is laid hold of. “In sensuous perception the opposite is present for us; that is to say, a number of things, their change, their origination and passing away, and their intermingling. Thus that first knowledge must take its place beside this second, which has as much certainty for ordinary consciousness as the first.” Melissus does not seem to have decided for the one or the other, but, oscillating between both, to have limited the knowledge of the truth to the statement that, speaking generally, between two opposite modes of presentation, the more probable opinion is to be preferred, but that what is so preferred is only to be regarded as the stronger opinion, and not as truth. This is what Aristotle says of him.
Since Aristotle, in distinguishing his philosophy from the philosophy of Parmenides, maintains that in the first place Parmenides seems to understand the One as the principle of thought, and Melissus as matter, we must remark that this distinction falls away in pure existence, Being, or the One. Pure matter, as also pure thought (if I am to speak of such a distinction), are not present to Parmenides and Melissus, since they are abrogated; and it must only be in the manner of his expression that one of them—according to Aristotle (Phys. I. 2), on account of his clumsier mode of treatment (μᾶλλον φορτικός)—could seem to have conceived of the other sense. If the difference consisted secondly in the fact that Parmenides regarded the one as limited and Melissus as unlimited, this limitation of the one would, in effect, immediately contradict the philosophy of Parmenides; for since limit is the non-being of Being, non-being would thus be posited. But when Parmenides speaks of limit, we see that his poetic language is not altogether exact; limit, however, as pure limit, is just simple Being and absolute negativity, in which all else said and set forth is sublated. Necessity, as this pure negativity and movement within itself, although impassive thought, is absolutely bound to its opposite. In the third place it may be said that Parmenides set forth a concomitant philosophy of opinion or reality, to which Being as existence for thought was thus more opposed than was the case with Melissus.
[4. Zeno.]
What specially characterizes Zeno is the dialectic which, properly speaking, begins with him; he is the master of the Eleatic school in whom its pure thought arrives at the movement of the Notion in itself and becomes the pure soul of science. That is to say, in the Eleatics hitherto considered, we only have the proposition: “The nothing has no reality and is not at all, and thus what is called origin and decease disappears.” With Zeno, on the contrary, we certainly see just such an assertion of the one and removal of what contradicts it, but we also see that this assertion is not made the starting point; for reason begins by calmly demonstrating in that which is established as existent, its negation. Parmenides asserts that “The all is immutable, for, in change, the non-being of that which is would be asserted, but Being only is; in saying that non-being is, the subject and the predicate contradict themselves.” Zeno, on the other hand, says: “Assert your change; in it as change there is the negation to it, or it is nothing.” To the former change existed as motion, definite and complete. Zeno protested against motion as such, or pure motion. “Pure Being is not motion; it is rather the negation of motion.” We find it specially interesting that there is in Zeno the higher consciousness, the consciousness that when one determination is denied, this negation is itself again a determination, and then in the absolute negation not one determination, but both the opposites must be negated. Zeno anticipated this, and because he foresaw that Being is the opposite of nothing, he denied of the One what must be said of the nothing. But the same thing must occur with all the rest. We find this higher dialectic in Plato’s Parmenides; here it only breaks forth in respect to some determinations, and not to the determination of the One and of Being. The higher consciousness is the consciousness of the nullity of Being as of what is determined as against the nothing, partly found in Heraclitus and then in the Sophists; with them it never has any truth, it has no existence in itself, but is only the for-another, or the assurance of the individual consciousness, and assurance as refutation, i.e. the negative side of dialectic.
According to Diogenes Laertius, (IX. 25) Zeno was likewise an Eleat; he is the youngest, and lived most in company with Parmenides. The latter became very fond of him and adopted him as a son; his own father was called Telentagoras. Not in his State alone was his conduct held in high respect, for his fame was universal, and he was esteemed particularly as a teacher. Plato mentions that men came to him from Athens and other places, in order to profit from his learning.[58] Proud self-sufficiency is ascribed to him by Diogenes (IX. 28) because he—with the exception of a journey made to Athens—continued to reside in Elea, and did not stay a longer time in the great, mighty Athens, and there attain to fame. In very various narratives his death was made for ever celebrated for the strength of his mind evinced in it; it was said that he freed a State (whether his own home at Elea or in Sicily, is not known) from its Tyrant (the name is given differently, but an exact historical account has not been recorded) in the following way, and by the sacrifice of his life. He entered into a plot to overthrow the Tyrant, but this was betrayed. When the Tyrant now, in face of the people, caused him to be tortured in every possible way to get from him an avowal of his confederates, and when he questioned him about the enemies of the State, Zeno first named to the Tyrant all his friends as participators in the plot, and then spoke of the Tyrant himself as the pest of the State. The powerful remonstrances or the horrible tortures and death of Zeno aroused the citizens, inspired them with courage to fall upon the Tyrant, kill him, and liberate themselves. The manner of the end, and his violent and furious state of mind, is very variously depicted. He is said to have pretended to wish to say something into the Tyrant’s ear, and then to have bitten his ear, and thus held him fast until he was slain by the others. Others say that he seized him by the nose between his teeth; others that as on his reply great tortures were applied, he bit off his tongue and spat it into the Tyrant’s face, to show him that he could get nothing from him, and that he then was pounded in a mortar.[59]
It has just been noticed that Zeno had the very important character of being the originator of the true objective dialectic. Xenophanes, Parmenides, and Melissus, start with the proposition: “Nothing is nothing; the nothing does not exist at all, or the like is real existence,” that is, they make one of the opposed predicates to be existence. Now when they encounter the opposite in a determination, they demolish this determination, but it is only demolished through another, through my assertion, through the distinction that I form, by which one side is made to be the true, and the other the null. We have proceeded from a definite proposition; the nullity of the opposite does not appear in itself; it is not that it abrogates itself, i.e. that it contains a contradiction in itself. For instance, I assert of something that it is the null; then I show this by hypothesis in motion, and it follows that it is the null. But another consciousness does not assert this; I declare one thing to be directly true; another has the right of asserting something else as directly true, that is to say, motion. Similarly what seems to be the case when one philosophic system contradicts another, is that the first is pre-established, and that men starting from this point of view, combat the other. The matter is thus easily settled by saying: “The other has no truth, because it does not agree with me,” and the other has the right to say the same. It does not help if I prove my system or my proposition and then conclude that thus the opposite is false; to this other proposition the first always seems to be foreign and external. Falsity must not be demonstrated through another, and as untrue because the opposite is true, but in itself; we find this rational perception in Zeno.
In Plato’s Parmenides (pp. 127, 128, Steph., pp. 6, 7, Bekk.) this dialectic is very well described, for Plato makes Socrates say of it: “Zeno in his writings asserts fundamentally the same as does Parmenides, that All is One, but he would feign delude us into believing that he was telling something new. Parmenides thus shows in his poems that All is One; Zeno, on the contrary, shows that the Many cannot be.” Zeno replies, that “He wrote thus really against those who try to make Parmenides’ position ridiculous, for they try to show what absurdities and self-contradictions can be derived from his statements; he thus combats those who deduce Being from the many, in order to show that far more absurdities arise from this than from the statements of Parmenides.” That is the special aim of objective dialectic, in which we no longer maintain simple thought for itself, but see the battle fought with new vigour within the enemy’s camp. Dialectic has in Zeno this negative side, but it has also to be considered from its positive side.