One has to glance at the opponents of the Eleates, in order to appreciate the extraordinary advantages in the assumption of Parmenides. What embarrassments, – from which Parmenides had escaped, – awaited Anaxagoras and all who believed in a plurality of substances, with the question, How many substances? Anaxagoras made the leap, closed his eyes and said, "Infinitely many"; thus he had flown at least beyond the incredibly laborious proof of a definite number of elementary substances. Since these "Infinitely Many" had to exist without increase and unaltered for eternities, in that assumption was given the contradiction of an infinity to be conceived as completed and perfect. In short, Plurality, Motion, Infinity driven into flight by Parmenides with the amazing proposition of the one "Being," returned from their exile and hurled their projectiles at the opponents of Parmenides, causing them wounds for which there is no cure. Obviously those opponents have no real consciousness and knowledge as to the awful force of those Eleatean thoughts, "There can be no time, no motion, no space; for all these we can only think of as infinite, and to be more explicit, firstly infinitely large, then infinitely divisible; but everything infinite has no 'Being,' does not exist," and this nobody doubts, who takes the meaning of the word "Being" severely and considers the existence of something contradictory impossible, e. g., the existence of a completed infinity. If however the very Actuality shows us everything under the form of the completed infinity then it becomes evident that it contradicts itself and therefore has no true reality. If those opponents however should object: "but in your thinking itself there does exist succession, therefore neither could your thinking be real and consequently could not prove anything," then Parmenides perhaps like Kant in a similar case of an equal objection would have answered: "I can, it is true, say my conceptions follow upon one another, but that means only that we are not conscious of them unless within a chronological order, i. e., according to the form of the inner sense. For that reason time is not a something in itself nor any order or quality objectively adherent to things." We should therefore have to distinguish between the Pure Thinking, that would be timeless like the one Parmenidean "Being," and the consciousness of this thinking, and the latter would already translate the thinking into the form of appearance, i. e., of succession, plurality and motion. It is probable that Parmenides would have availed himself of this loophole; however, the same objection would then have to be raised against him which is raised against Kant by A. Spir ("Thinking And Reality," 2nd ed., vol. i., pp. 209, &c). "Now, in the first place however it is clear, that I cannot know anything of a succession as such, unless I have the successive members of the same simultaneously in my consciousness. Thus the conception of a succession itself is not at all successive, hence also quite different from the succession of our conceptions. Secondly Kant's assumption implies such obvious absurdities that one is surprised that he could leave them unnoticed. Cæsar and Socrates according to this assumption are not really dead, they still live exactly as they did two thousand years ago and only seem to be dead, as a consequence of an organisation of my inner sense." Future men already live and if they do not now step forward as living that organisation of the "inner sense" is likewise the cause of it. Here above all other things the question is to be put: How can the beginning and the end of conscious life itself, together with all its internal and external senses, exist merely in the conception of the inner sense? The fact is indeed this, that one certainly cannot deny the reality of Change. If it is thrown out through the window it slips in again through the keyhole. If one says: "It merely seems to me, that conditions and conceptions change," – then this very semblance and appearance itself is something objectively existing and within it without doubt the succession has objective reality, some things in it really do succeed one another. – Besides one must observe that indeed the whole critique of reason only has cause and right of existence under the assumption that to us our conceptions themselves appear exactly as they are. For if the conceptions also appeared to us otherwise than they really are, then one would not be able to advance any solid proposition about them, and therefore would not be able to accomplish any gnosiology or any "transcendental" investigation of objective validity. Now it remains however beyond all doubt that our conceptions themselves appear to us as successive."
The contemplation of this undoubted succession and agitation has now urged Anaxagoras to a memorable hypothesis. Obviously the conceptions themselves moved themselves, were not pushed and had no cause of motion outside themselves. Therefore he said to himself, there exists a something which bears in itself the origin and the commencement of motion; secondly, however, he notices that this conception was moving not only itself but also something quite different, the body. He discovers therefore, in the most immediate experience an effect of conceptions upon expansive matter, which makes itself known as motion in the latter. That was to him a fact; and only incidentally it stimulated him to explain this fact. Let it suffice that he had a regulative schema for the motion in the world, – this motion he now understood either as a motion of the true isolated essences through the Conceptual Principle, the Nous, or as a motion through a something already moved. That with his fundamental assumption the latter kind, the mechanical transmission of motions and impacts likewise contained in itself a problem, probably escaped him; the commonness and every-day occurrence of the effect through impact most probably dulled his eye to the mysteriousness of impact. On the other hand he certainly felt the problematic, even contradictory nature of an effect of conceptions upon substances existing in themselves and he also tried therefore to trace this effect back to a mechanical push and impact which were considered by him as quite comprehensible. For the Nous too was without doubt such a substance existing in itself and was characterised by him as a very delicate and subtle matter, with the specific quality of thinking. With a character assumed in this way, the effect of this matter upon other matter had of course to be of exactly the same kind as that which another substance exercises upon a third, i. e., a mechanical effect, moving by pressure and impact. Still the philosopher had now a substance which moves itself and other things, a substance of which the motion did not come from outside and depended on no one else: whereas it seemed almost a matter of indifference how this automobilism was to be conceived of, perhaps similar to that pushing themselves hither and thither of very fragile and small globules of quicksilver. Among all questions which concern motion there is none more troublesome than the question as to the beginning of motion. For if one may be allowed to conceive of all remaining motions as effect and consequences, then nevertheless the first primal motion is still to be explained; for the mechanical motions, the first link of the chain certainly cannot lie in a mechanical motion, since that would be as good as recurring to the nonsensical idea of the causa sui. But likewise it is not feasible to attribute to the eternal, unconditional things a motion of their own, as it were from the beginning, as dowry of their existence. For motion cannot be conceived without a direction whither and whereupon, therefore only as relation and condition; but a thing is no longer "entitative-in-itself" and "unconditional," if according to its nature it refers necessarily to something existing outside of it. In this embarrassment Anaxagoras thought he had found an extraordinary help and salvation in that Nous, automobile and otherwise independent; the nature of that Nous being just obscure and veiled enough to produce the deception about it, that its assumption also involves that forbidden causa sui. To empiric observation it is even an established fact that Conception is not a causa sui but the effect of the brain, yea, it must appear to that observation as an odd eccentricity to separate the "mind," the product of the brain, from its causa and still to deem it existing after this severing. This Anaxagoras did; he forgot the brain, its marvellous design, the delicacy and intricacy of its convolutions and passages and he decreed the "Mind-In-Itself." This "Mind-In-Itself" alone among all substances had Free-will, – a grand discernment! This Mind was able at any odd time to begin with the motion of the things outside it; on the other hand for ages and ages it could occupy itself with itself – in short Anaxagoras was allowed to assume a first moment of motion in some primeval age, as the Chalaza of all so-called Becoming; i. e., of all Change, namely of all shifting and rearranging of the eternal substances and their particles, Although the Mind itself is eternal, it is in no way compelled to torment itself for eternities with the shifting about of grains of matter; and certainly there was a time and a state of those matters – it is quite indifferent whether that time was of long or short duration – during which the Nous had not acted upon them, during which they were still unmoved. That is the period of the Anaxagorean chaos.
The Anaxagorean chaos is not an immediately evident conception; in order to grasp it one must have understood the conception which our philosopher had with respect to the so-called "Becoming." For in itself the state of all heterogeneous "Elementary-existences" before all motion would by no means necessarily result in an absolute mixture of all "seeds of things," as the expression of Anaxagoras runs, an intermixture, which he imagined as a complete pell-mell, disordered in its smallest parts, after all these "Elementary-existences" had been, as in a mortar, pounded and resolved into atoms of dust, so that now in that chaos, as in an amphora, they could be whirled into a medley. One might say that this conception of the chaos did not contain anything inevitable, that one merely needed rather to assume any chance position of all those "existences," but not an infinite decomposition of them; an irregular side-by-side arrangement was already sufficient; there was no need of a pell-mell, let alone such a total pell-mell. What therefore put into Anaxagoras' head that difficult and complex conception? As already said: his conception of the empirically given Becoming. From his experience he drew first a most extraordinary proposition on the Becoming, and this proposition necessarily resulted in that doctrine of the chaos, as its consequence.
The observation of the processes of evolution in nature, not a consideration of an earlier philosophical system, suggested to Anaxagoras the doctrine, that All originated from All; this was the conviction of the natural philosopher based upon a manifold, and at the bottom, of course, excessively inadequate induction. He proved it thus: if even the contrary could originate out of the contrary, e. g., the Black out of the White, everything is possible; that however did happen with the dissolution of white snow into black water. The nourishment of the body he explained to himself in this way: that in the articles of food there must be invisibly small constituents of flesh or blood or bone which during alimentation became disengaged and united with the homogeneous in the body. But if All can become out of All, the Firm out of the Liquid, the Hard out of the Soft, the Black out of the White, the Fleshy out of Bread, then also All must be contained in All. The names of things in that case express only the preponderance of the one substance over the other substances to be met with in smaller, often imperceptible quantities. In gold, that is to say, in that which one designates a potiore by the name "gold," there must be also contained silver, snow, bread, and flesh, but in very small quantities; the whole is called after the preponderating item, the gold-substance.
But how is it possible, that one substance preponderates and fills a thing in greater mass than the others present? Experience shows, that this preponderance is gradually produced only through Motion, that the preponderance is the result of a process, which we commonly call Becoming. On the other hand, that "All is in All" is not the result of a process, but, on the contrary, the preliminary condition of all Becoming and all Motion, and is consequently previous to all Becoming. In other words: experience teaches, that continually the like is added to the like, e. g., through nourishment, therefore originally those homogeneous substances were not together and agglomerated, but they were separate. Rather, in all empiric processes coming before our eyes, the homogeneous is always segregated from the heterogeneous and transmitted (e. g., during nourishment, the particles of flesh out of the bread, &c), consequently the pell-mell of the different substances is the older form of the constitution of things and in point of time previous to all Becoming and Moving. If all so-called Becoming is a segregating and presupposes a mixture, the question arises, what degree of intermixture this pell-mell must have had originally. Although the process of a moving on the part of the homogeneous to the homogeneous —i. e., Becoming – has already lasted an immense time, one recognises in spite of that, that even yet in all things remainders and seed-grains of all other things are enclosed, waiting for their segregation, and one recognises further that only here and there a preponderance has been brought about; the primal mixture must have been a complete one, i. e., going down to the infinitely small, since the separation and unmixing takes up an infinite length of time. Thereby strict adherence is paid to the thought: that everything which possesses an essential "Being" is infinitely divisible, without forfeiting its specificum.
According to these hypotheses Anaxagoras conceives of the world's primal existence: perhaps as similar to a dust-like mass of infinitely small, concrete particles of which every one is specifically simple and possesses one quality only, yet so arranged that every specific quality is represented in an infinite number of individual particles. Such particles Aristotle has called Homoiomere in consideration of the fact that they are the Parts, all equal one to another, of a Whole which is homogeneous with its Parts. One would however commit a serious mistake to equate this primal pell-mell of all such particles, such "seed-grains of things" to the one primal matter of Anaximander; for the latter's primal matter called the "Indefinite" is a thoroughly coherent and peculiar mass, the former's primal pell-mell is an aggregate of substances. It is true one can assert about this Aggregate of Substances exactly the same as about the Indefinite of Anaximander, as Aristotle does: it could be neither white nor grey, nor black, nor of any other colour; it was tasteless, scentless, and altogether as a Whole defined neither quantitatively nor qualitatively: so far goes the similarity of the Anaximandrian Indefinite and the Anaxagorean Primal Mixture. But disregarding this negative equality they distinguish themselves one from another positively by the latter being a compound, the former a unity. Anaxagoras had by the assumption of his Chaos at least so much to his advantage, that he was not compelled to deduce the Many from the One, the Becoming out of the "Existent."
Of course with his complete intermixture of the "seeds" he had to admit one exception: the Nous was not then, nor is It now admixed with any thing. For if It were admixed with only one "Existent," It would have, in infinite divisions, to dwell in all things. This exception is logically very dubious, especially considering the previously described material nature of the Nous, it has something mythological in itself and seems arbitrary, but was however, according to Anaxagorean prœmissa, a strict necessity. The Mind, which is moreover infinitely divisible like any other matter, only not through other matters but through Itself, has, if It divides Itself, in dividing and conglobating sometimes in large, sometimes in small masses, Its equal mass and quality from all eternity; and that which at this minute exists as Mind in animals, plants, men, was also Mind without a more or less, although distributed in another way a thousand years ago. But wherever It had a relation to another substance, there It never was admixed with it, but voluntarily seized it, moved and pushed it arbitrarily – in short, ruled it. Mind, which alone has motion in Itself, alone possesses ruling power in this world and shows it through moving the grains of matter. But whither does It move them? Or is a motion conceivable, without direction, without path? Is Mind in Its impacts just as arbitrary as it is, with regard to the time when It pushes, and when It does not push? In short, does Chance, i. e., the blindest option, rule within Motion? At this boundary we step into the Most Holy within the conceptual realm of Anaxagoras.
What had to be done with that chaotic pell-mell of the primal state previous to all motion, so that out of it, without any increase of new substances and forces, the existing world might originate, with its regular stellar orbits, with its regulated forms of seasons and days, with its manifold beauty and order, – in short, so that out of the Chaos might come a Cosmos? This can be only the effect of Motion, and of a definite and well-organised motion. This Motion itself is the means of the Nous, Its goal would be the perfect segregation of the homogeneous, a goal up to the present not yet attained, because the disorder and the mixture in the beginning was infinite. This goal is to be striven after only by an enormous process, not to be realized suddenly by a mythological stroke of the wand. If ever, at an infinitely distant point of time, it is achieved that everything homogeneous is brought together and the "primal-existences" undivided are encamped side by side in beautiful order, and every particle has found its comrades and its home, and the great peace comes about after the great division and splitting up of the substances, and there will be no longer anything that is divided ind split up, then the Nous will again return into Its automobilism and, no longer Itself divided, roam through the world, sometimes in larger, sometimes in smaller masses, as plant-mind or animal-mind, and no longer will It take up Its new dwelling-place in other matter. Meanwhile the task has not been completed; but the kind of motion which the Nous has thought out, in order to solve the task, shows a marvellous suitableness, for by this motion the task is further solved in each new moment. For this motion has the character of concentrically progressive circular motion; it began at some one point of the chaotic mixture, in the form of a little gyration, and in ever larger paths this circular movement traverses all existing "Being," jerking forth everywhere the homogeneous to the homogeneous. At first this revolution brings everything Dense to the Dense, everything Rare to the Rare, and likewise all that is Dark, Bright, Moist, Dry to their kind; above these general groups or classifications there are again two still more comprehensive, namely Ether, that is to say everything that is Warm, Bright, Rare, and Aër, that is to say everything that is Dark, Cold, Heavy, Firm. Through the segregation of the ethereal masses from the aërial, there is formed, as the most immediate effect of that epicycle whose centre moves along in the circumference of ever greater circles, a something as in an eddy made in standing water; heavy compounds are led towards the middle and compressed. Just in the same way that travelling waterspout in chaos forms itself on the outer side out of the Ethereal, Rare, Bright Constituents, on the inner side out of the Cloudy, Heavy, Moist Constituents. Then in the course of this process out of that Aërial mass, conglomerating in its interior, water is separated, and again out of the water the earthy element, and then out of the earthy element, under the effect of the awful cold are separated the stones. Again at some juncture masses of stone, through the momentum of the rotation, are torn away sideways from the earth and thrown into the realm of the hot light Ether; there in the latter's fiery element they are made to glow and, carried along in the ethereal rotation, they irradiate light, and as sun and stars illuminate and warm the earth, in herself dark and cold. The whole conception is of a wonderful daring and simplicity and has nothing of that clumsy and anthropomorphical teleology, which has been frequently connected with the name of Anaxagoras. That conception has its greatness just in this, that it derives the whole Cosmos of Becoming out of the moved circle, whereas Parmenides contemplated the true "Existent" as a resting, dead ball. Once that circle is put into motion and caused to roll by the Nous, then all the order, law and beauty of the world is the natural consequence of that first impetus. How very much one wrongs Anaxagoras if one reproaches him for the wise abstention from teleology which shows itself in this conception and talks scornfully of his Nous as of a deus ex machina. Rather, on account of the elimination of mythological and theistic miracle-working and anthropomorphic ends and utilities, Anaxagoras might have made use of proud words similar to those which Kant used in his Natural History of the Heavens. For it is indeed a sublime thought, to retrace that grandeur of the cosmos and the marvellous arrangement of the orbits of the stars, to retrace all that, in all forms to a simple, purely mechanical motion and, as it were, to a moved mathematical figure, and therefore not to reduce all that to purposes and intervening hands of a machine-god, but only to a kind of oscillation, which, having once begun, is in its progress necessary and definite, and effects result which resemble the wisest computation of sagacity and extremely well thought-out fitness without being anything of the sort. "I enjoy the pleasure," says Kant, of seeing how a well-ordered whole produces itself without the assistance of arbitrary fabrications, under the impulse of fixed laws of motion – a well-ordered whole which looks so similar to that world-system which is ours, that I cannot abstain from considering it to be the same. It seems to me that one might say here, in a certain sense without presumption: 'Give me matter and I will build a world out of it.'"