This is from Gerson’s book on Platonism.
An antinominalist could insist on the reality of the phenomenon of sameness in difference and yet deny that there is an explanation for this, claiming rather that it is just a brute fact.
But what Parmenides actually takes Socrates to be maintaining is not that the many are self-identical in a way that contradicts their numerical and qualitative distinctness, but that despite their ‘manyness’ they are in a way one, that is, that there is a self-identical ‘idea’ or character that can be predicated of each. We may leave aside for the moment the further inference that only if there is a Form ‘over and above’ or separate from these can this be possible. Here we need to consider the cognitive act of ‘seeing’ a self-identical unity within or among a many. For Plato, this ‘seeing’ is the essence of human cognition.
The river is the “sameness in difference” of its waters. The river, as river, is the ἰδέα that “collects” these differing waters so that they are a river. Or, more carefully, the ἰδέα points to the “collectedness” that is there in each “water” itself. The instantaneous water is “immediately” there as “the river.” We can, however, phenomenologically isolate the instantaneous “water” as a new “transcendent” entity.
This shift in “conceptual focus” is so easy for us that it can even confuse us. We constantly create new “intentional objects” by trading signs. We swim in articulation as fish swim in water, which explains a tendency to dismiss as superstition the very “ideality” we live in and largely as.
I see this seeing as indeed “the essence of human cognition.” I expect that non-human animals also experience the world as articulated, but in our case it is especially through signs that are “arbitrary” in Saussure’s sense. Systems with “arbitrary” signs are “systems of differences without positive elements.” In fact, they have positive elements, but those elements are arbitrary, like the shapes of Chess pieces. A structuralist X-ray of Chess gives the essence of Chess in terms of pure relationship. But this is a limit point never achieved, for discussing the structure requires some minimal inscription of its “almost purified” elements.
For nondual thought, this is instead the essence of the world itself. The world itself is fundamentally articulated, as one of its two deepest opposed/complementary principles.
Yes, I want to connect Plato’s “unwritten doctrine” to Heraclitus here.
Gerson also give us this, which points at how the river “feels” to us, what “overflows” or “fills” the mere collectedness or categorizedness (the ἰδέα) of the-water-now.
The nonintelligible aspect of reality includes the receptacle (υποδοχη´) and sensible qualities. The former, which is described as having the characteristics of both extension and unqualified matter, is only cognizable by a sort of bastard reasoning (λογισμω˛˜ νοθω ´ ˛ ).The latter are (in part) the basis for the beliefs that we have of the sensible world. The reason we are able to have such cognition as belief at all about sensibles is that these are images of the intelligibles imposed by the Demiurge; only these intelligibles are the objects of intellection (νοησις ´ ). Presumably, it is possible to have beliefs about sensibles as such, for example, that fire is hot or that water is wet. But if by ‘hot’ or ‘wet’ we mean to refer to the phenomenological aspect of the experience of fire or water, we are not referring to anything that is, strictly speaking, intelligible.
Less important theoretically, but fascinating for speculation, Gerson also gives us a famous excerpt from a letter by Plato:
To anyone who has followed this discourse and digression it will be clear that if Dionysius or anyone else—whether more or less able than he—has written concerning the first and highest principles of nature, he has not properly heard or understood anything of what he has written about; otherwise he would have respected these principles as I do, and would not have dared to give them this discordant and unseemly publicity. Nor can he have written them down for the sake of remembrance [υ‛πομνημα´των]; for there is no danger of their being forgotten if the soul has once grasped them, since they are contained in the briefest of formulas.
This bolded final sentence suggests that it’s coherent to “creatively misread” Plato as having a very simple doctrine that is also very rich. Much of the conversation about Heidegger here is aimed at the tension between the discrete and the continuous. Thinking the world in terms of objects “forgets” their dark background or the soup in which they float. Thinking in terms of a pure conceptuality, stripped of emotion and feeling, moves us toward formal logic and the scientific image. Some philosophers prioritize ideality and presence, while others (un-)focus on the darkness from which these emerge. One aspect of this darkness is of course sensation and emotion as “in themselves” ineffable. Another aspect of this darkness is temporal and spatial. What is not here now in any way at all ? Or what is only arriving or departing ?
How does this connect to being and time ? The being has temporal depth because it is a “collection” of its moments. The very being of the being, its unity as a being, as a collection of differing moments, is pointed at by the word ἰδέα.
But this word ἰδέα has synonyms. Other pointers “do the same thing.” Nelson Goodman uses “character.” In Goodman’s terms, we might say that reality is fundamentally “characterized.” In other words, it is populated by entities that are entities precisely through their “temporal depth.”