An ecology, environment, or even cosmos is precisely - a singular generality - a short-circuit between the poles that is precisely designed to avoid collapsing one into the other. — StreetlightX
But my point is that this is to speak of the substantial actuality - following Aristotle's doctrine of hylomorphic form and other such tradititional triadic resolutions of the issue.
So everything that exists is the outcome of a history of process. Yes, that is the (singular) actuality. But then that still leaves the question of how best to deal with the two aspects that are required to produce such a history. And you did seem to be collapsing them in talking about this confusing thing of a "singular generality". Your choice of jargon seems unhelpful here.
That said, I realize that you're irrevocably wedded to your vocabulary, which in the end' works' much in the same fashion, but I'd rather avoid it all the same. — StreetlightX
I'm not wedded to one particular jargon. I'm more interested in the multiple ways people have tried with varying degrees of success to get at the core metaphysical issue here.
I get what you mean when you say "singular generality". Well, I am understanding that as talk of the substantial actuality that arises as some particular history of a general developmental process. But it doesn't seem like good jargon as I don't think the singularity of some generality is the important thought here.
Instead, I prefer the constraints based approach that physics normally takes, and even better, the pansemiotic approach of infodynamics. This says that the generality is a symmetry - some state of constraint that imposes a symmetry condition on material possibility. And then particularity arises via spontaneous symmetry breaking. A history of material accidents develops via the locking in of "random" local acts.
So with a snow flake, the general symmetry in question is the charged configuration of a water molecule. The molecule satisfies its own internal tensions by having the hydrogen atoms forming a 104 degree angle. Then when the molecules are collectively cold enough to crystalise, they can minimise their energy by forming hexagonal patterns - the sixfold symmetry that accounts for snowflake branching growth patterns.
(Note that the individual molecules have to bend wider to 106 degrees, plus twist a bit, to fit the imposed "universal" geometry of a hexagon. So they deform in response to this new collective constraint in a way that increases their internal energy as part of the trade-off to achieve a collective minimisation of the crystal's energy.)
So anyway, the transition from water to ice involves a breaking of rotational symmetry. As water, H2O can spin freely and be "at any angle" in regard to its neighbours. (In fact this again is an idealisation as water has many of its unique properties because it is always fleetingly ordered in its orientation.) But anyway,
:) , becoming constrained as a crystal is a breaking of symmetry. It reduces the orientation possibilities to some global hexagon form.
And this then becomes the new (more particular or singular?) symmetry to be broken - by accident. Because by now, nature doesn't care about how exactly a snowflake grows. The attachment of new molecules floating about in the air is a random and unconstrained process. It is different from a body of water freezing (and producing compact hexagonal crystal forms). The process has an extra degree of freedom in the way the snowflake grows.
The point is thus that the real world, in all its substantial actuality, seems like a really messy place. It is hard to pick apart the general and the particular, the symmetries and the symmetry-breakings, the constraints and the degrees of freedom (all ways of talking about the same thing) when dealing with any generative process or developmental habit. Remember, there is nothing much simpler than ice as a substance.
Yet once we get used to thinking hierarchically about these things - that is, used to a triadic logic - then we can see how every level of actuality is indeed a product of the interaction between the general and the particular. Complex structure grows in ways which are locally accidental and yet globally constrained.
It remains too musty for my liking, even when dusted off and treated anew (even 'hylomorphism' leaves a bad taste in the mouth...). — StreetlightX
Yeah, well, talking about musty definitions....
For Aristotle, the distinction between singular and universal is a fundamental metaphysical one, and not merely grammatical.
A singular term for Aristotle is primary substance, which can only be predicated of itself: (this) "Callias" or (this) "Socrates" are not predicable of any other thing...He contrasts universal (katholou)[4] secondary substance, genera, with primary substance, particular (kath' hekaston)[4][5] specimens.
https://en.wikipedia.org/wiki/Term_logic#Singular_terms
So the singularity is to do with the most highly individuated or constrained state of affairs. And universality is the ability to then point backwards to a developmental history of constraints - the more generic "properties", or states of broken symmetry, like the fact that Socrates is a substance of the genera "Homo sapiens". And humans are in turn a substantial state of being qua the genera of "living things". Etc, etc, all the way back to the Big Bang or laws of thermodynamics.
:)
So the central thought is that the singular is the most constrained state of affairs. But then the bit that I argue Aristotle misses (and Peirce gets) is that a constraint is a state of informational symmetry - a modelling or sign relation. It is basically nature saying this much is what I've locked down for sure. All the rest is a matter of indifference. Further symmetry breaking has no effect on what is the case. It becomes differences (or individuation) that don't make a difference.
Is Socrates still Socrates - the substantial actuality, the singular generality - when he trims his beard or perhaps loses his leg in an industrial accident? There is no doubt Socrates is being further individuated by these accidents of history. And yet also no doubt that then don't matter. As events, they are failing to rewrite the informational script that is "Socrates".
Though eventually, enough accidents can overwhelm the script. Real change is possible because states of constraint, conditions of symmetry, are themselves dynamical beings subject to development. So - as with avalanches - things can grow and seem stable, dispersing their forces in even manner, until the tiniest accident, one snowflake landing on the right spot, and it all tumbles down the hill.
This is how physics now understands reality - the new jargon of criticality and dissipative structure. And beyond that, the pansemiotic models of infodynamics which recognises the symbolic aspect to physical existence.
So the thread running through all this - from ancient Greece to modern science - is the need to think of reality in an irreducibly complex and triadic fashion. You need something like the general and the particular, the process and the event, the symmetry and the symmetry-breaking, as the two sides of the dichotomy. And then it is how they recursively interact which produces the third thing of the substantial actuality - the reality that most people take to be the concrete, nominalist, world of ordinary experience.