Notation
- Classc ≈ context (a general whole).
- Instancei ≈ content (a specific part).
- Ic = class of the immanent
- Ii = instance of the immanent
- Oc = class of the omniscient
- Oi = instance of the omniscient
- Tc = class of the transcendent
- Ti = instance of the transcendent
Beauty informs Truth (Ii ⇒ Ic → Oi ⇒ Oc)
Since beauty is the perception of coherence, we start with its immediate encounter and disclosure. It is not yet explained. A moment, a face, an act, a landscape, a painting, a sentence...whatever it is, it just lands with rightness.
But wait! According to Axiom II, we know that this particular immanent instance of beauty must be preceded by a transcendent class of goodness. And we're probably already asking, what makes this encounter recognizable as beauty at all?
Since goodness is what beauty (and therefore coherence) feels like from the inside, we can now properly start the loop with beauty since we now know how we were able to recognize it as such in the first place. Goodness, as the transcendent horizon of the possibility/recognizability of rightness, is why this particular instance of coherence shows up as beautiful.
And encountering a specific instance of beauty implies there is a generalizable kind of thing here. The general recognizability of wholeness in perception. In other words, beauty as a class.
Since truth is what beauty (and therefore coherence) looks like from the outside, we can begin to articulate coherence to capture some aspect of it. Maybe we percieve a painting as harmonious (instance of beauty), which implies harmony as a class, and then we can produce propositions like, "...it is harmonious because the proportions of such and such are balanced...," etc.
Truth serves Goodness (Oi ⇒ Oc → Ti ⇒ Tc)
Notice that this truth is always selective and partial. Focussing on parts makes it immensely powerful, but that power is ultimately destructive if it loses connection to wholeness. And its only connection to wholeness is when it is in service to goodness.
We notice again that a specific instance of truth implies there is a generalizable truth. Intelligibility-as-such. "Truth in principle," form, logic, lawfulness, the propositional space. In other words, truth as a class.
Goodness orients to Beauty (Ti ⇒ Tc → Ii ⇒ Ic)
What "ought to be" arises when a particular situation becomes intelligible in a way that discloses choice. It is the space where reason becomes real and there is a concrete call to do (or not do). You cannot be obligated by that which you literally cannot make sense of in some way.
And, of course, encountering a specific instance of goodness means there is a generalizable goodness. The transcendent horizon of the possibility/recognizability of rightness, obligation, worthiness. In other words, goodness as a class.
The horizon of worthiness now tunes our attention, shapes what is salient, and trains our perceptions so that the immanent world shows up as a field of coherence that we can participate in and with. Beauty is perceived as beauty, and the loop continues into eternity.