Potential is difficult to understand, because it is not any definite thing. — Metaphysician Undercover
Yep. So it is vague ... in relation to the definite actuality that it then gives rise to.
It is defined by Aristotle by referring to the dichotomy of what is and is not, but it is not defined dichotomously. — Metaphysician Undercover
Yep. It is defined dichotomously - A and not-A. Or rather it is the prior state when there is neither A nor not-A present. That is, the PNC as yet fails to apply. So it is defined as that which must be capable of yielding the dichotomy and an actuality that is ruled by the PNC.
Dichotomy is formal, through and through. Matter has perfections and imperfections, completeness and incompleteness, but all these dichotomies are with respect to the form, not the matter. — Metaphysician Undercover
Again yep. Formal cause - a calculus of distinctions - is what produces an intelligible actual world out of "bare material cause". There is nothing substantial except that it has been formed by informational constraints. And the dichotomy is just speaking to the "how" of the distinction-making.
Aristotle saw that reality is a hierarchy of increasingly specified distinctions, or dichotomies/symmetry breakings. Genus begets species by critical divisions. Man is generically animal (and thus not mineral), but also more specifically rational (and thus not irrational or lacking in reason).
So actuality is the product of a hierarchy of constraints that impinge on localised matter, giving it concrete shape. And that seems to be the case "all the way down". Even the simplest forms of materiality - like fundamental particles - already have formal shape due to mathematical-strength symmetry-breakings.
Quarks are stuck at an SU(3) level of symmetry-breaking - locked into a state due to the cooling universe and their stable confinement by their own strong force. Leptons are then particles that managed to decay all the way down to bottom-most U(1) symmetry. So fundamental physics agrees it is formal cause - a hierarchy of dichotomies or symmetry-breakings - that turned the vague potential of the hot Big Bang into a cascade of actualised particles. Cold shards of pure structure.
And that means that we both know - from reason - that there must be some "stuff", some "material", that gets formed in this way, and yet this material cause becomes the ultimately elusive part of reality. We can't pin it down - see it in its raw formlessness - as it only becomes something definite and "pinnable" if it has a form.
Aristotle was dealing with exactly this issue in discussing the prime matter that must underlie four elements.
Now the four elements themselves - fire, air, water, earth - we can today recognise as the four phases of matter. Plasma, gas, liquid, solid. Those four distinctions have become purely formal ones - the different states of atomic interaction due to changing temperature.
But nevertheless, the same reasoning applies. Some material principle - some principle of energy/matter conservation - must provide the continuity, the imperishability, that allows the observed phase transitions, or perishings and generations, that are clearly part of the actual world.
So note the very reasonable assumption here - which is in fact a pretty impressive leap of the human imagination. From observation of the world, it was assumed that matter is ultimately conserved in quantity. Or rather, the quantity of potential action was fixed. Action or dynamism could be converted from one form to another, but the actual total quantity of action is conserved.
So Anaximander's Apeiron was an open system view. The Apeiron was like an inexhaustible supply of action. (Although a conservation principle was embedded in the idea that everything produced by dichotomous formation - fire, air, water, earth - would then return to Apeiron as that form eventually degenerated.)
Aristotle pushed for a sharper distinction. The Comos became a closed material system. There must be an underlying "prime matter" that is eternal and imperishable, endlessly taking new shape without in fact being used up, or being generated anew. And it was from that assumption that the idea of a creation event - a birth of all this imperishable matter - became a great metaphysical difficulty.
So Aristotle was taking the metaphysical argument the next step. He was making it clear that the choice was between a Cosmos open for causality (freely fed by an Apeiron) versus a Cosmos closed for causality (getting by on an eternally fixed quantity of prime matter). That then led to the apparently necessary conclusion that the material principle was the passive and imperceptible part of the equation.
Well seeing the Cosmos as a closed system, a conserved quantity of matter, doesn't ultimately work. But it does then allow the even more sophisticated metaphysical point of view. We can ask how closure itself could arise. We can seek an immanent model of self-organisation where a classical, materially-closed Universe, is the rational outcome.
This is where we get to modern dissipative structure thinking. This is where a logic of vagueness, a logic of hierarchical emergence, comes into its own.
So Anaximander understood reality in terms of an open flow action that self-organises to have emergent structure. Aristotle then showed what this reality looked like by going over to the other extreme - how we would imagine it as a system, still with hierarchical structure, but now closed and eternal.
Then following that sharpening of our thinking, we can understand reality in terms of self-organising material closure. We no longer rely on Anaximander's admittedly very material conception of the Apeiron, nor Aristotle's maddenly elusive notion of prime matter, but understand that there is a vagueness beyond both material and formal cause. We can't grant primacy or priority to either material cause or formal cause because they themselves are the dichotomy that emerges from a "pure potential" that is both neither of these things, yet necessarily must be able to break to yield these complementary things.
This is A's formulation of the law of identity, that a thing is the same as itself. It doesn't matter if the thing is changing, so long as it is itself, it is the same thing. If we stick to logical identity though, then every moment that a thing changes, it is a new thing. — Metaphysician Undercover
Yep. The formulation of a conservation principle - the law of identity - is the basic step to get formal logical argument going. It is how you ground a pure calculus of distinctions. It literally is the making of pure form by abstracting away the real world materiality - getting rid of the inherent vagueness of the actual world. Or rather, ignoring the vagueness, the ontic indeterminacy, that still inheres on close examination.
So identity - a conservation of "fundamental stuff" - is an epistemic presumption. It axiomatically grounds the ontic modelling. And from that assumed basis, we can compute arguments using the "pure forms" of the laws of thought.
But then to argue backwards from that set of assumptions to say that is how reality actually is, well that is the obvious mistake. Just because logic "really works" doesn't mean we should believe it is "the thing in itself".
That is why a systems approach to metaphysics would embrace Peirce's approach the laws of thought. He saw that they describe the regularity of a world which has developed rational habits. So yes, the laws of thought do describe the final outcome with great accuracy.
But when the question turns to how could such a world develop, we have to bring in vagueness - firstness, tychism, spontaneity, fluctuation - as the logical corollary. The starting condition of the crisply organised, the definitely closed, the conserved and (future) eternal, has to be its own formal "other". Creation has to be explained in terms of its own reciprocal being - the inverse of what it becomes.
Vagueness lies here within this continuity, where the laws of logic, if applied, would result in infinite regress. — Metaphysician Undercover
The infinite regress of causality is asymptotic at worst. So it converges on a point. And that point both defines the limit and stands "outside" it. So this is exactly how I have argued for vagueness - as a limit which itself is formally "not real".
If you are going to make the accusation of infinite regress, you have to also acknowledge that this is a special kind of regress - one that converges on an "actual" point. It is like pi. We can never arrive at the actual final decimal expansion of pi. Yet the very fact that we can get arbitrarily close shows that pi "definitely exists" .... as a formal limit.
This is why he presented the cosmological argument which he is well known for, to refute it. After he accepted this impossibility, the impossibility of a beginning in vagueness, then he proposed the eternal circular motions. — Metaphysician Undercover
Yes. Once you argue for a generalised conservation principle, then you have a real problem with understanding reality as any kind of creation event. And yet modern science shows the Universe did emerge from a "Big Bang". So we can't simply pretend that our existence doesn't have some kind of creation moment.
The metaphysical question then becomes how can we best explain the situation as we now know it to be? Is there a logic of self-organised development that can get us a step closer to "the truth"?
So sure Aristotle made some arguments. Those have been tested against reality. They clearly don't hold. We can thank him for so clearly presenting the contrasting alternatives that made them actually thus testable, and move on.
Aristotle's mistakes were valuable ones. Imagining matter as the passive principle is an example of getting it exactly back to front in a way that allows us to then flip to the other better perspective eventually.
Because the Planck limit is completely dependent upon the theories employed to explain the features of the universe, it is just a manifestation of those theories. That these theories produce a boundary to distinguishability reveals the inadequacies of the theories, not true boundaries to distinguishability. — Metaphysician Undercover
Now you are simply misunderstanding the pragmatic foundations of belief. It is the whole point of theories to deliver confirmation in terms of measurables. But the theory doesn't
manifest the observables. They are what we actually measure when we apply the theory in modelling our reality.
But in the actual world of individual material things, there is no such thing as a thing's other each thing is unique in its own ways. — Metaphysician Undercover
This is only true to the extent that materiality has become locally complex and historically specified. I can tell one oak leaf from another due to all kinds of microscopic accidents - blemishes - which have become incorporated into its material structure.
But down at the fundamental level of quantum particles, individuation disappears. That is why quantum matter becomes "entangled". Two particles, supposedly separate in regards to their location and momentum, are in fact acting as if it is impossible to tell them apart.
So you are building your classical notion of individuated substance on incorrect foundations. We now know from observation that your foundational notions about the "actual world" are simply wrong.
You seem to be using "dichotomy" in two distinct ways here. In the first case you present what I call a categorical difference, a thing and its property, action, direction. In the second case you have opposition, change and stasis. — Metaphysician Undercover
A "metaphysical strength" dichotomy is how categories are themselves generated. If there is quantity, then its formal other is quality. For form, there is matter. For one, there is many. For discrete, there is continuous. Etc, etc.
The job of metaphysics is then to try to describe reality using the least number of such dichotomies. Or arriving at the most basic ones.
For me, that leaves you with two foundational dichotomies. One encompasses "what is" - the hierarchical or structural notion of the local~global. And then the other speaks to how what is can develop into its definite state of structured being. That dichotomy is the vague~crisp.
So a generic dichotomy for measuring reality in terms of its synchonic structure, and another one for doing that in terms of its diachronic development.