Manifestation, Determinables, and Determinates
In the previous post I argued that the Logos does not create what the Father creates, but articulates what the Father gives. The result of this articulation is not a completed conceptual inventory, but a teleo-space: a real field of intelligible openness in which donated particularity becomes available to determination without being exhausted by it. That claim, however, leaves a crucial question unresolved. If donated loci are articulated in teleo-spaces, how exactly do determinables arise? What is the relation between what is given in love and what becomes intelligible in Logos?
This question cannot be postponed, because the whole account depends upon answering it correctly. If donated loci are simply identical with determinables, then the distinction between pre-intelligible particularity and intelligible articulation collapses. The Father’s donation would already be intelligibility in disguise, and the role of the Logos would be reduced either to mere disclosure or to redundant naming. But if determinables float free of donated loci, then intelligibility becomes detached from what is given and teleo-spaces collapse into autonomous conceptual structures. The only adequate path lies between these extremes. What is needed is a mediating notion. I shall call it manifestation.
Why a Mediating Notion Is Necessary
The pressure for a mediating notion is easy to state. The donated locus, as described in the previous posts, is not yet a determinable. It is not a concept, not a universal, not a describable item within the space of reasons. It is loved particularity prior to articulation. Yet once the Logos articulates such a locus within a teleo-space, something more must be the case. The locus does not remain wholly outside intelligibility. It becomes available to thought, judgment, and description. But it does so without ceasing to be what is first given.
We therefore require a relation that is neither identity nor external correlation. The donated locus must become intelligibly available, but not by ceasing to be a donated locus. The determinable must genuinely articulate the locus, but not by exhausting it. Manifestation names this middle relation. A determinable is a mode in which a donated locus becomes intelligibly available within a teleo-space.
This is the first claim of the present post, and it should be understood with care. Manifestation is not a decorative label attached to a process we already understand. It is the formal and metaphysical name for what must be the case if teleo-spaces are to be real fields of intelligibility grounded in donation rather than floating conceptual schemes.
Determinables Are Not Primitive
One reason this is so important is that philosophy often treats determinables as though they were primitive. A thing is red rather than blue, heavy rather than light, living rather than dead. The determinable is then understood as a standing possibility of specification. But in the present framework determinables cannot be treated that way. They arise only within teleo-space. They are not ontologically first. They are downstream from both donation and articulation.
This means that a determinable is not simply “there” awaiting recognition. Nor is it a pre-existing universal hovering above manifestation. It is an intelligible articulation of what has first been given. To say that a determinable is real is not to say that it subsists on its own. It is to say that within the teleo-space opened by the Logos, the donated locus is available under a mode of intelligibility.
This point also explains why the previous posts insisted that the determinable/determinate distinction is exhaustive only within intelligibility. Within that order, every intelligible articulation is either determinable or determinate. But the order itself presupposes what is given prior to it. Determinables are therefore not the first elements of the ontology. They are already manifestations within a Logos-open field.
The Formal Need for Manifestation
At this point it becomes useful to introduce one more formal relation. Let
Man(d,x,t) mean that determinable d manifests donated locus x in teleo-space t.
This relation is doing the central work of the present post. It allows us to say several things at once.
- The determinable belongs to intelligibility. It is in the teleo-space t.
- What it manifests is not another determinable, but a donated locus x.
- Manifestation is not identity. We do not write d = x. The determinable is not the locus. It is the intelligible manifestation of the locus in the teleo-space.
- Manifestation is inherently mediated by teleo-space. There is no manifestation “in general.” Manifestation occurs within an articulated field of intelligibility.
This relation already suggests why the formalization cannot remain a simple first-order affair. Once the relation between donation, teleo-space, and determination is introduced, one sees that there are different ontological levels at work, and the logic must respect them.
What Manifestation Is Not
It is essential to exclude several misunderstandings.
Manifestation is not mere appearance in the weak sense. It is not the way something happens to seem to a subject. The present framework is not phenomenological in that sense. A determinable manifests a locus in teleo-space whether or not a finite subject currently apprehends it.
Manifestation is also not simple representation. A representation may refer to something external to itself, but manifestation as used here is more intimate. The determinable belongs to the very field in which the donated locus is being made intelligibly available. It is not a detached sign pointing outward from a closed symbolic system.
Nor is manifestation equivalent to instantiation. That language would tempt us back toward strong realism about universals, as though the donated locus first existed and then simply fell under a universal form. But the whole point of the present account is that intelligibility is opened through Logos-articulation rather than imposed by prior universals. The determinable is therefore not a universal into which the locus is inserted. It is a mode of manifestation of the locus in teleo-space.
Why One Locus May Have Multiple Manifestations
Once manifestation is introduced, another important consequence follows. A single donated locus may be manifested in more than one determinable within a teleo-space. This must be possible if teleo-space is genuinely open. If every locus had exactly one determinable manifestation, then intelligibility would become a one-to-one coding system and the openness of teleo-space would disappear.
The point can be stated plainly. The Logos articulates without exhausting. Therefore what is donated may become available under multiple intelligible modes. Those modes need not be arbitrary. They arise within the order of the teleo-space. But they need not collapse into one single determinate description.
This is why hyperintensionality later becomes necessary. Two determinables may differ in mode of articulation even if they do not differ extensionally. At the present stage it is enough to say that a donated locus may be manifested in more than one way and that these manifestations are not interchangeable merely because they concern the same locus.
One may write schematically:
There exist x, t, d1, and d2 such that Man(d1,x,t), Man(d2,x,t), and d1 ≠ d2.
This formula says only that plurality of manifestation is possible. It does not yet tell us how the plurality is ordered, nor whether the manifestations are equally fitting. That question belongs later to the Spirit’s ordering of comparative fittingness. But the possibility of plural manifestation must already be secured here.
Determinables and Determinates
Once manifestation is clear, the difference between determinables and determinates can be stated more precisely.
A determinable is a manifested mode of intelligibility within teleo-space. A determinate is an actualized realization of such a determinable. The movement from determinable to determinate is therefore not the whole story of reality, but only a later stage in the order:
L → T → D → A
What has now been added is a more exact account of the middle of that sequence. The arrow from T to D is not creation from nothing. It is manifestation. The teleo-space opened by the Logos is the field in which determinables arise as manifestations of donated loci. The arrow from D to A is then the movement from such intelligible manifestation to actualized realization.
This helps to clarify why determination is never brute. If every determinate presupposes a determinable, and every determinable presupposes manifestation in a teleo-space, and every such manifestation presupposes a donated locus, then actuality is always downstream from a richer ontological order. Determinates do not simply happen. They arise within a field already structured by donation, articulation, and manifestation.
Why Determinates Do Not Exhaust Determinables
The distinction between determinable and determinate also shows why actualization never exhausts intelligibility. If a determinable were fully exhausted by its determinate realization, then teleo-space would contract into actuality. But this is not what happens. The determinable remains more than any one of its realizations. Indeed, one of the marks of a teleo-space is precisely that not every determinable is actualized and no set of actualizations closes the field.
This can be marked formally in a very simple way:
For every t in T, there exists some d in D such that d is in t and there is no a in A such that DetOf(a,d,t).
In plain language: within every teleo-space there are determinables that are not actualized. This is not a defect. It is one of the conditions of openness. Without it, there would be no room for fittingness, judgment, or truthful articulation that exceeds immediate realization.
Here again manifestation does important work. What is manifested in the teleo-space need not be actualized to be real as intelligible manifestation. Determinables therefore have a reality proper to the Logos-open field, even when they are not realized as determinates.
Why Manifestation Is Necessary for Truth
Although the full discussion of truth belongs later, one can already see why manifestation is essential to any adequate account of truth. If truth is to concern reality rather than mere coherence within a symbolic system, then the content of truth must somehow be tied to what is given. But if what is given is not yet intelligible prior to articulation, then truth cannot be a simple comparison between a proposition and a raw object. Something must mediate between donated particularity and articulated content. Manifestation is that mediation.
To say later that an expression is about a determinable in a teleo-space will already presuppose that the determinable manifests a donated locus. Otherwise truth would float free of the ontological order established at the outset. The formal sequence would then have broken apart. Manifestation prevents that break. It secures the continuity between what the Father gives, what the Logos articulates, what a content is about, and what later may count as true.
The Christological Pressure
The Christological significance of all this should already be visible. If a donated locus can be manifested in multiple determinables within a teleo-space, then intelligibility is not a matter of subsuming concrete particularity under a universal essence. It is a matter of articulating particularity within a field of meaning. This already places pressure upon any account of Christology that would rely too heavily upon abstract universality as the sole medium of intelligible participation.
Without anticipating too much, one may say that the incarnation will have to be thought not as the mere assumption of a universal nature whose properties are then redistributed, but as the maximal articulation of a particular within a teleo-space of unsurpassable intelligibility. That line cannot yet be developed fully, but it is one of the reasons manifestation is more than a technical formal device. It begins to reshape the whole grammar of participation.
The Formal Shape of the Argument So Far
It may be useful to gather the central formulas now in view.
- There exist x and y in L such that x ≠ y.
- For every x in L, Don_F(x).
- For every x in L, there exists some t in T such that Art(x,t).
- For every d in D and t in T, if d is in t, then there exists some x in L such that Man(d,x,t).
- For every x in L and t in T, if Art(x,t), then there exists some d in D such that Man(d,x,t).
These formulas remain schematic, but they now display a real order. Donation secures loci. Articulation opens teleo-space. Manifestation relates determinables to donated loci within teleo-space. Determination, still to be discussed more fully, will arise only later.
What matters most is what these formulas forbid. They forbid identifying a donated locus with a determinable. They forbid treating determinables as free-floating universals. They forbid detaching intelligibility from what is given. And they forbid collapsing actuality into the whole of reality.
Theological Realism Preserved
At this point one may see more clearly what is gained by the framework as a whole. Theological realism is preserved without falling into the crudest representationalism. Reality is not mute stuff onto which language imposes meaning. Nor is meaning produced by the subject. The Father gives differentiated possibility. The Logos articulates what is given into teleo-space. Determinables manifest donated loci. The Spirit, still to be treated more fully, will order such manifestations by comparative fittingness. Truth, felicity, and theological reference all become possible only on that basis.
This is a realism deeper than the realism of mere objecthood. It concerns the reality of intelligibility itself. Manifestation is therefore a central category, because it prevents the account from splitting into two disconnected orders: one of brute givenness and one of mere concepts. What is true, meaningful, and referential later in the system will be true, meaningful, and referential because manifestation has already joined donated particularity to intelligible articulation.
Summary
The argument of this post may now be summarized.
- Donated loci cannot simply be identified with determinables.
- Determinables are not primitive universals or ready-made intelligible items.
- The relation between donated loci and determinables must therefore be mediated.
- That mediating relation is manifestation: Man(d,x,t), where a determinable d manifests a donated locus x in teleo-space t.
- A single locus may have multiple manifestations within a teleo-space.
- Determinates are actualized realizations of determinables and therefore lie still further downstream in the order.
- And finally, manifestation secures the continuity between donation and truth by preventing intelligibility from floating free of what is given.
What Comes Next
The next question follows naturally. If determinables manifest donated loci within teleo-space, how are these determinables ordered? Why are some manifestations more fitting than others? Why is intelligibility not a flat field of equally available possibilities? To answer that question, we must turn to the Spirit’s role in normative weighting and comparative fittingness.
Next in the series: Toward a Formal Theology of Teleo-Spaces VI: Spirit-Weighting and Comparative Fittingness
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