Theories
Anaximander’s theories were influenced by the Greek mythical tradition, and by some ideas of Thales – the father of Western philosophy – as well as by observations made by older civilizations in the Near East, especially Babylon.[15][16] All these were developed rationally. In his desire to find some universal principle, he assumed, like traditional religion, the existence of a cosmic order; and his ideas on this used the old language of myths which ascribed divine control to various spheres of reality. This was a common practice for the Greek philosophers in a society which saw gods everywhere, and therefore could fit their ideas into a tolerably elastic system.[17]
Some scholars[who?] see a gap between the existing mythical and the new rational way of thought which is the main characteristic of the archaic period (8th to 6th century BC) in the Greek city-states.[18] This has given rise to the phrase “Greek miracle”. But there may not have been such an abrupt break as initially appears. The basic elements of nature (water, air, fire, earth) which the first Greek philosophers believed made up the universe in fact represent the primordial forces imagined in earlier ways of thinking. Their collision produced what the mythical tradition had called cosmic harmony. In the old cosmogonies – Hesiod (8th – 7th century BC) and Pherecydes (6th century BC) – Zeus establishes his order in the world by destroying the powers which were threatening this harmony (the Titans). Anaximander claimed that the cosmic order is not monarchic but geometric, and that this causes the equilibrium of the Earth, which is lying in the centre of the universe. This is the projection on nature of a new political order and a new space organized around a centre which is the static point of the system in the society as in nature.[19] In this space there is isonomy (equal rights) and all the forces are symmetrical and transferable. The decisions are now taken by the assembly of demos in the agora which is lying in the middle of the city.[20]
The same rational way of thought led him to introduce the abstract apeiron (indefinite, infinite, boundless, unlimited[21]) as an origin of the universe, a concept that is probably influenced by the original Chaos (gaping void, abyss, formless state) from which everything else appeared in the mythical Greek cosmogony.[22] It also takes notice of the mutual changes between the four elements. Origin, then, must be something else unlimited in its source, that could create without experiencing decay, so that genesis would never stop.[23]
Apeiron
The Refutation attributed to Hippolytus of Rome (I, 5), and the later 6th century Byzantine philosopher Simplicius of Cilicia, attribute to Anaximander the earliest use of the word apeiron (ἄπειρον “infinite” or “limitless”) to designate the original principle. He was the first philosopher to employ, in a philosophical context, the term archē (ἀρχή), which until then had meant beginning or origin.
“That Anaximander called this something by the name of Φύσις is the natural interpretation of what Theophrastos says; the current statement that the term ἀρχή was introduced by him appears to be due to a misunderstanding.”[24]
And “Hippolytos, however, is not an independent authority, and the only question is what Theophrastos wrote.”[25]
For him, it became no longer a mere point in time, but a source that could perpetually give birth to whatever will be. The indefiniteness is spatial in early usages as in Homer (indefinite sea) and as in Xenophanes (6th century BC) who said that the Earth went down indefinitely (to apeiron) i.e. beyond the imagination or concept of men.[26]
Burnet (1930) in Early Greek Philosophy says:
“Nearly all we know of Anaximander’s system is derived in the last resort from Theophrastos, who certainly knew his book. He seems once at least to have quoted Anaximander’s own words, and he criticised his style. Here are the remains of what he said of him in the First Book:
“Anaximander of Miletos, son of Praxiades, a fellow-citizen and associate of Thales, said that the material cause and first element of things was the Infinite, he being the first to introduce this name of the material cause. He says it is neither water nor any other of the so-called elements, but a substance different from them which is infinite” [apeiron, or ἄπειρον] “from which arise all the heavens and the worlds within them.—Phys, Op. fr. 2 (Dox. p. 476; R. P. 16).”[27]
Burnet’s quote from the “First Book” is his translation of Theophrastos’ Physic Opinion fragment 2 as it appears in p. 476 of Historia Philosophiae Graecae (1898) by Ritter and Preller and section 16 of Doxographi Graeci (1879) by Diels.
By ascribing the “Infinite” with a “material cause”, Theophrastos is following the Aristotelian tradition of “nearly always discussing the facts from the point of view of his own system”.[28]
Aristotle writes (Metaphysics, I.III 3–4) that the Pre-Socratics were searching for the element that constitutes all things. While each pre-Socratic philosopher gave a different answer as to the identity of this element (water for Thales and air for Anaximenes), Anaximander understood the beginning or first principle to be an endless, unlimited primordial mass (apeiron), subject to neither old age nor decay, that perpetually yielded fresh materials from which everything we perceive is derived.[29] He proposed the theory of the apeiron in direct response to the earlier theory of his teacher, Thales, who had claimed that the primary substance was water. The notion of temporal infinity was familiar to the Greek mind from remote antiquity in the religious concept of immortality, and Anaximander’s description was in terms appropriate to this conception. This archē is called “eternal and ageless”. (Hippolytus (?), Refutation, I,6,I;DK B2)[30]
“Aristotle puts things in his own way regardless of historical considerations, and it is difficult to see that it is more of an anachronism to call the Boundless ” intermediate between the elements ” than to say that it is ” distinct from the elements.” Indeed, if once we introduce the elements at all, the former description is the more adequate of the two. At any rate, if we refuse to understand these passages as referring to Anaximander, we shall have to say that Aristotle paid a great deal of attention to some one whose very name has been lost, and who not only agreed with some of Anaximander’s views, but also used some of his most characteristic expressions. We may add that in one or two places Aristotle certainly seems to identify the ” intermediate ” with the something ” distinct from ” the elements.”[31]
“It is certain that he [Anaximander] cannot have said anything about elements, which no one thought of before Empedokles, and no one could think of before Parmenides. The question has only been mentioned because it has given rise to a lengthy controversy, and because it throws light on the historical value of Aristotle’s statements. From the point of view of his own system, these may be justified; but we shall have to remember in other cases that, when he seems to attribute an idea to some earlier thinker, we are not bound to take what he says in an historical sense.”[32]
For Anaximander, the principle of things, the constituent of all substances, is nothing determined and not an element such as water in Thales’ view. Neither is it something halfway between air and water, or between air and fire, thicker than air and fire, or more subtle than water and earth.[33] Anaximander argues that water cannot embrace all of the opposites found in nature — for example, water can only be wet, never dry — and therefore cannot be the one primary substance; nor could any of the other candidates. He postulated the apeiron as a substance that, although not directly perceptible to us, could explain the opposites he saw around him.
“If Thales had been right in saying that water was the fundamental reality, it would not be easy to see how anything else could ever have existed. One side of the opposition, the cold and moist, would have had its way unchecked, and the warm and dry would have been driven from the field long ago. We must, then, have something not itself one of the warring opposites, something more primitive, out of which they arise, and into which they once more pass away.”[24]
Anaximander explains how the four elements of ancient physics (air, earth, water and fire) are formed, and how Earth and terrestrial beings are formed through their interactions. Unlike other Pre-Socratics, he never defines this principle precisely, and it has generally been understood (e.g., by Aristotle and by Saint Augustine) as a sort of primal chaos. According to him, the Universe originates in the separation of opposites in the primordial matter. It embraces the opposites of hot and cold, wet and dry, and directs the movement of things; an entire host of shapes and differences then grow that are found in “all the worlds” (for he believed there were many).[12]
“Anaximander taught, then, that there was an eternal. The indestructible something out of which everything arises, and into which everything returns; a boundless stock from which the waste of existence is continually made good, “elements.”. That is only the natural development of the thought we have ascribed to Thales, and there can be no doubt that Anaximander at least formulated it distinctly. Indeed, we can still follow to some extent the reasoning which led him to do so. Thales had regarded water as the most likely thing to be that of which all others are forms; Anaximander appears to have asked how the primary substance could be one of these particular things. His argument seems to be preserved by Aristotle, who has the following passage in his discussion of the Infinite: “Further, there cannot be a single, simple body which is infinite, either, as some hold, one distinct from the elements, which they then derive from it, or without this qualification. For there are some who make this. (i.e. a body distinct from the elements). the infinite, and not air or water, in order that the other things may not be destroyed by their infinity. They are in opposition one to another. air is cold, water moist, and fire hot. and therefore, if any one of them were infinite, the rest would have ceased to be by this time. Accordingly they say that what is infinite is something other than the elements, and from it the elements arise.’—Aristotle Physics. F, 5 204 b 22 (Ritter and Preller (1898) Historia Philosophiae Graecae, section 16 b).”[34]
Anaximander maintains that all dying things are returning to the element from which they came (apeiron). The one surviving fragment of Anaximander’s writing deals with this matter. Simplicius transmitted it as a quotation, which describes the balanced and mutual changes of the elements:[35][36]
Whence things have their origin,
Thence also their destruction happens,
According to necessity;
For they give to each other justice and recompense
For their injustice
In conformity with the ordinance of Time.
Simplicius mentions that Anaximander said all these “in poetic terms”, meaning that he used the old mythical language. The goddess Justice (Dike) keeps the cosmic order. This concept of returning to the element of origin was often revisited afterwards, notably by Aristotle,[37] and by the Greek tragedian Euripides: “what comes from earth must return to earth.”[38] Friedrich Nietzsche, in his Philosophy in the Tragic Age of the Greeks, stated that Anaximander viewed “… all coming-to-be as though it were an illegitimate emancipation from eternal being, a wrong for which destruction is the only penance.”[39] Physicist Max Born, in commenting upon Werner Heisenberg‘s arriving at the idea that the elementary particles of quantum mechanics are to be seen as different manifestations, different quantum states, of one and the same “primordial substance,”‘ proposed that this primordial substance be called apeiron.[40]