This is what I claim:
BEING / Identity of a Unity: If A, B, and C are equal to each other in being/substance (they are the unity P, which is not a fourth thing), but irreducibly distinct from each other in operation (coordination) and (aligned, interlocking) purpose(s), all must be true together or false (denatured) together.
ACTION / LNC: They can’t perform opposite actions together as a unity without fracturing.
QUALITY / LEM: Their purpose(s) either negate(s)/dissolve(s) the unity or align(s)/interlock(s) the unity.
All three are fundamental or they are NOT… and if that (NOTness) were the case… poof… we never had this convo.
Okay…so there are several things:
-If all three are equal in being then you have a fourth element, being in one context, while in another context they are derivative of being.
-If they are distinct in operation, in process, than by default you have another nature…operation/process and
-And this constitutes 1 process as three different expressions thus there is a monism where the expression occurs as one, two, three, so on and so fourth.
-If they do not preform contrasting actions, and their identity is derived from action, then they are not distinct and what remains is one action.
-If quality an either/or of unity/dissolution then not everything is a triad but a sequence of alternating binary states and this binary state applies to the triad as a whole.
Basically the “triad as foundational” argument is not convincing under its own terms. It smuggles in to many assumptions.
The assumption of being/action/quality by all means parellels with some philosophical traditions but at the root these things are events of distinction.
The same being/action/quality dynamic can be express as any x,y,z derivation while the distinction of being and action alone can be compressed to a single distinction of patterned process (processes that exist as patterns) and in this respect, just being/action alone can be viewed as an unnecessary dichtomy…quality (purpose) is not only a binary state but effectively requires a base nature of being “potentiality” as purpose is potentiality.
So what remains is a patterned process (actuality) and purpose (potentiality) and a binary state results.