The pre-Socratic age seems to have been a ripe age for substance monism. Whether it be mythological explanations (see my last post
Introduction) or a more 'rational' explanation--such as Thales water--origin, and specifically monist origin, seems to have been quite the important topic to many of the pre-Socratics. That being said, I would like to use this post to focus specifically on Anaximander's conception of the Indefinite/Infinite as the 'source.' To be more precise, I want to investigate the interpretations of Anaximander's Infinite: specifically the function as a singular substance, whether it is that which acts or that which is acted upon.
Before we begin this investigation, though, it is important to identify the fragments that this investigation stems from. There are four fragments, specifically, that I am drawing my investigation from: 101 A, B, and C. The fragments come from Simplicius, Hippolytus, and Plutarch, respectively. To avoid taking these quotes out of context, and for the benefit of any readers who do not have the text, the fragments read as follows:
101A Simplicius: Of those who say that it is one, moving, and infinite, Anaximander, son of Praxiades, a Milesian, the successor and pupil of Thales, said that the principle and element of existing things was the apeiron [indefinite, or infinite], being the first to introduce this name of the material principle. He says that it is neither water nor any other of the so-caled elements, but some other apeiron nature, from which come into being all the heavens and the worlds in them. And the source of the coming-to-be for existing things is that into which destruction, too, happens 'according to necessity; for they pay penalty and retribution to each other for their injustice according to the assessment of Time', as he describes it in these rather poetical terms.
101B Hippolytus: Now Anaximander was the disciple of Thales. Anaximander, son of Praxiades, of Miletus:... he said that the principle and element of existing things was the apeiron, being the first to use this name of the material principle. (In addition to this he said that motion was eternal, in which it results that th heavens come into being.) ...he said that the material principle of existing things was some nature coming under the heading of the apeiron, from which come into being the heavens and the world in them. This nature is eternal and unageing, and it also surrounds all the worlds. He talks of Time as though coming-to-be and existence and destruction were limited. (He talks of Time...)
101C Plutarch: ...Anaximander, who was the companion of Thales, said that the apeiron contained the whole cause of the coming-to-be and the destruction of the world, from which he says that the heavens are separated off, and in general all the worlds, being apeirous [innumerable]. He declared that destruction, and much earlier coming-to-be, happen from infinite ages, since they are all occurring in cycles.
While it is clear that Anaximander treats apeiron [the Infinite/Indefinite] as the physical origin of things--"he said that the material principle of existing things was some nature coming under the heading of the apeiron, from which come into being the heavens and the world in them" (101B), as well as a similar segment from 101A--it is entirely unclear as to whether this substance is view as that which acts, i.e. that which causes things to happen, or is that which is acted upon, or that which things happen to. The three fragments we have from Simplicius, Hippolytus, and Plutarch don't agree on this matter.
For Simplicius, while it is not entirely clear due to the wording, it appears that apeiron is that which is acted upon. The specific point of the fragment which creates this confusion reads as follows: "And the source of coming-to-be for existing things is that into which destruction, too, happens 'according to necessity; for they pay penalty and retribution to each other for their injustice according to the assessment of Time', as he describes it in these rather poetical terms" (101A) [interestingly enough, the segment that beings with "according..." and ending with "of Time..." is the only known direct quote of Anaximander]. While it may, at first glance, appear that what is being said is that both 'coming-to-be' and 'destruction' come from the same source, the wording of the comment on destruction brings this interpretation into question. Notice how it reads "...into which destruction, too, happens..." as though apeiron is not the cause of the destruction (which is reinforced by the mention of Time as the assessor). Furthermore, 'source' does not, by any means, necessarily correspond to 'cause', as it may simply mean the material from which something is made. Thus, it would appear that for Simplicius, apeiron is that which is acted upon, it is a passive substance that appears to be acted upon from the outside (which is an interesting notion in itself, given that it would have to be an outside to the Infinite). By outside, I do not mean the physical exterior, but of that which is not necessarily and expression of the original substance, in this case the cause in the causal network. It is simply that in which things happen, and that which things happen to.
On the other hand, Plutarch seems to favor a reading of apeiron that implies a more active agent. Plutarch claims that Anaximander "said that the apeiron contained the whole cause of the coming-to-be and destruction of the world..." (101C). It is quite obvious that the Plutarch reading implies either an active substance, which is the whole cause, or a substance that contains the whole cause (which in the manner that it is inside, it remains active). This active substance, as opposed to the passive one, would function as the original cause to everything, and with a certain interpretation, act as the continuing cause of all things, in that it would be the cause upon itself, which would create an effect upon itself. In this way, it is not quite appropriate to view it as the active, because it is also the acted upon, but the importance isn't necessarily the function of cause and effect, but role apeiron plays in this function. This is a much more inclusive substance, in which there appears no real outside, everything is an expression of the apeiron.
Unfortunately, Hippolytus doesn't shed any more light on this issue, as his comments directly demonstrate neither an active substance nor a passive substance. Instead, he provides a further qualitative account for this substance, "This nature [apeiron] is eternal and unageing, and it also surrounds all the worlds" (101C). What is rather interesting, though, is the mention of Anaximander's discussion of Time: "He talks of Time as though coming-to-be and existence and destruction were limited" (101C). While this doesn't clarify which interpretation of Anaximander's substance is correct (as it doesn't clarify what is doing the limiting, thus we could have a Time that is limited by apeiron or an apeiron who's casual expression is limited by itself [the laws of nature]), it provides a glimpse at Anaximander's view of Time, and specifically at coming-to-be, existence, and destruction (the casual network). It appears as though Anaximander formulated a notion of limited time within a circular timeframe, meaning that, for Anaximander, the 'edges' of the circle (the laws of nature? Apeiron?) were limiting factors on Time.
While it is difficult to draw a clear picture of Anaximander's apeiron, it is important to understand the multitude of possible interpretation that can and have been drawn from what fragments we have. Personally, I'm more inclined to side with Plutarch's interpretation, as it lends itself to a simpler cosmological system, but that does not necessarily make it the correct interpretation, or even a correct interpretation of the Plutarch fragment. What does everyone else think?