Tuesday, February 10, 2026

Nota Trinitaria on Teleo-Spaces: Intelligibility, Normativity, and the Limits of Subjectivity

Methodological Prolegomenon: On Axioms and Ontological Interpretation

This note proceeds axiomatically. That claim requires clarification at the outset.

By axiom I do not mean a syntactic postulate belonging to a purely formal system and awaiting semantic interpretation. Nor do I mean a rule of inference abstracted from its subject matter. The axioms articulated below are already ontologically interpreted constraints. They name what must be the case if intelligibility, normativity, and determination are to be possible at all without collapsing either into brute determinism or into transcendental subjectivism.

The model-theoretic background is decisive here. In classical model theory, axioms belong to the syntax of a theory, while interpretation assigns domains, relations, and functions. That separation is not operative in the present inquiry. The subject matter—divine action, intelligibility, and participation—does not permit a purely formal staging prior to interpretation. To insist on such neutrality would already be to decide the issue in favor of a subject-centered or formalist reduction.

Accordingly, the axioms that follow function as axioms of orientation. They do not generate models by derivation; they delimit what counts as a coherent model at all. Their necessity is not formal but transcendental in the strict sense: they arise from reflection on the conditions under which determination, meaning, and normativity can occur without regress or arbitrariness.

One further clarification is required. The axioms are structurally ordered, not inferentially ordered. Later axioms presuppose earlier ones, but none is derived from another. Each names an irreducible condition that must be respected simultaneously.

Section 1. Axioms Governing Teleo-Spaces


Axiom I (Differentiated Possibility)

There exist real, pre-determinable loci of possibility that are numerically differentiated prior to intelligibility and prior to any determination.

Differentiation must be ontologically real if determination is to be more than brute fact. If this rather than that is ever to occur intelligibly, there must already be a plurality of possibilities such that one outcome can be distinguished from another. This plurality cannot itself be the product of determination without circularity. Difference must already obtain.

The loci named here are not determinate entities, properties, or meanings. They are not universals awaiting instantiation nor semantic contents awaiting interpretation. They are addressable particularity: a real “that” prior to any “what.” This claim blocks two familiar reductions at once. Against Platonist inflation, it refuses to treat possibility as a realm of determinate forms. Against nominalist arbitrariness, it refuses to treat difference as brute haecceity without ground.

Axiom II (Determinability)

Determinability is an ontological condition of determination and is not itself a determinate structure, entity, or higher-order determination.

Determinability must be distinguished both from determinacy and from indeterminacy. If determinability is treated as a determinate structure, it becomes one more item requiring the same kind of explanation as determinate facts, and explanatory regress resumes. If it is treated as mere indeterminacy, intelligibility dissolves into a negative limit incapable of grounding meaning.

Determinability is therefore positive but non-determinate. It is the condition under which determinations can occur meaningfully without being pre-fixed. It halts regress not by stipulation but by category: it is not the kind of thing that can itself be determined in the way determinate facts are.

Axiom III (Teleo-Spaces)

There exist teleo-spaces: intelligible fields of determinability in which determinate actuality can occur meaningfully without closure.

Teleo-spaces name the ontological form of intelligibility. They are not objects, frameworks, or conceptual schemes imposed by subjects. Nor are they merely regulative ideals. They are real structures of room for sense—fields within which what is given can become determinate as meaningful rather than arbitrary.

A teleo-space is determinable without being determinate. It orders possibilities toward articulation and truth without exhausting them in a final inventory of outcomes. To deny teleo-spaces is to force a false alternative: either mechanistic determinism, in which only determinate facts exist, or subjectivist construction, in which determinacy is produced by synthesis. Teleo-spaces articulate a third possibility: intelligibility as ontologically real yet open.

Axiom IV (Normative Weighting)

Within teleo-spaces, possibilities are normatively weighted, and this weighting is real, efficacious, and not dependent upon human subjectivity.

A mere field of determinability does not suffice to explain determination. If all possibilities were equally available, the emergence of determinate actuality would be arbitrary unless grounded either in brute causation or in subjective preference. Weighting names the reality that possibilities press unequally toward actuality; this rather than that is not sheer happenstance.

This weighting must not be construed as coercive. It does not force outcomes or collapse openness. Rather, it orders without closure and draws without determination. Crucially, it is not dependent upon human consciousness. Cosmic, biological, and historical determinations do not wait upon acts of recognition to become real. Human judgment often serves as a site where determinability resolves into determinate decision, but the normative pressures that make such decisions intelligible are not generated by the subject.

Axiom V (Trinitarian Differentiation)

The ontological conditions named in Axioms I–IV require a Trinitarian articulation: differentiated possibility, intelligibility, and normative weighting must be grounded in irreducibly distinct modes of divine action within the unity of God.

If differentiated possibility, intelligibility, and weighting are all real and irreducible, they cannot be collapsed into a single undifferentiated explanatory principle without loss. Nor can they be reassigned to finite subjectivity without reintroducing the transcendental reflex that terminates explanation in the subject.

The Christian doctrine of the Trinity provides the minimal metaphysical grammar required. Creation, as the donation of differentiated possibility, belongs to the Father. Intelligibility, as the constitution of teleo-spaces, belongs to the Son, the Logos. Normative weighting, as ordering without coercion, belongs to the Holy Spirit. Human subjectivity then finds its proper place: not as ground, but as participant; not as origin of intelligibility, but as responder within what is already given, intelligible, and normatively ordered.

Section 2. The Problem of Subjectivity and the Location of Determination

The axioms articulated in the preceding section are not speculative additions to an otherwise settled framework. They arise under pressure from a persistent problem in modern thought: the difficulty of locating determination without collapsing it either into brute causation or into subjectivity.

Modern philosophy has rightly resisted naïve realism. It has learned that intelligibility is not simply read off from the world, that normativity cannot be reduced to causal regularity, and that meaning does not float free of conditions. Yet in resisting naïveté, it has developed a characteristic reflex. When pressed to account for intelligibility, it terminates explanation in the subject. When pressed to account for normativity, it appeals to recognition or ethical demand. When pressed to account for determination, it invokes judgment, decision, or synthesis.

This reflex is not accidental. Once intelligibility is detached from ontology, it must be relocated somewhere. And the most readily available candidate is subjectivity. What cannot be explained as brute fact is explained as constituted. What cannot be grounded in nature is grounded in agency. The result is a progressive inflation of the subject, which comes to bear explanatory burdens it cannot sustain.

The difficulty is not that subjectivity plays no role in determination. It plainly does. Human judgment, decision, and action often serve as the sites at which determinable possibilities collapse into determinate actuality. But to move from this observation to the claim that subjectivity grounds determination is a category mistake. It confuses where determination occurs with what makes it possible.

The axioms stated above mark the refusal of this confusion. They insist that the conditions of determination must be ontological rather than epistemic, real rather than projected, and prior to subjectivity rather than constituted by it. Differentiated possibility, determinability, intelligibility, and normative weighting must already be in place if subjectivity is to function as more than arbitrary choice or mechanical response.

This insistence carries a cost. It requires rejecting the comforting thought that the subject is the final court of appeal. It also requires resisting the equally comforting move of evacuating ontology in favor of ethics. Yet the alternative is worse. If intelligibility is not real prior to recognition, then truth collapses into coherence. If normativity is not real prior to decision, then obligation collapses into preference. If determination is not real prior to judgment, then agency collapses into self-assertion.

What is needed, therefore, is an account in which subjectivity is neither denied nor exalted. Subjectivity must be located within a reality already structured by intelligibility and normativity. It must be responsive rather than constitutive, participatory rather than foundational.

This is precisely what the axioms governing teleo-spaces make possible. By distinguishing differentiated possibility from intelligibility, intelligibility from determination, and weighting from coercion, they allow subjectivity to be real without being ultimate. The subject does not create meaning, but it can acknowledge it. The subject does not generate normativity, but it can answer to it. The subject does not originate determination, but it can enact it.

At this point the inquiry necessarily becomes theological. For the structure just described cannot be sustained by metaphysics alone. The distinction between donation, intelligibility, and weighting requires not merely conceptual differentiation but ontological distinction within unity. It requires a grammar capable of naming real difference without division and real unity without collapse.

That grammar is given in the Christian confession of Father, Son, and Holy Spirit. Before turning to modern philosophy’s attempts to relocate intelligibility and normativity within subjectivity, we must therefore ask whether the Christian doctrine of the Word and the Spirit already provides the resources needed to resist that relocation.

It is to Luther’s account of the Word as divine act and the Spirit as efficacious presence that we now turn.

Section 3. Luther: Word, Spirit, and the Extra Nos of Intelligibility

The Trinitarian structure implicit in the axioms governing teleo-spaces is not an abstract metaphysical overlay imposed upon Christian theology. It is already operative—though not formally articulated—in Luther’s account of the Word and the Holy Spirit. Indeed, one can read Luther as struggling, with remarkable consistency, to prevent precisely the collapse of intelligibility and normativity into subjectivity that later becomes programmatic in modern philosophy.

At the heart of Luther’s theology lies the insistence that the Word of God is extra nos. This claim is often treated as a soteriological or pastoral assertion: the gospel must come from outside the self if it is to console the anxious conscience. But the force of extra nos is not merely psychological. It is ontological. The Word does not derive its meaning, authority, or efficacy from the subject who hears it. It addresses the subject because it already bears meaning and authority in itself.

This point bears directly on the first two axioms. Luther presupposes a reality that is differentiated prior to human understanding. God’s Word is not a projection of faith, nor a crystallization of religious experience. It confronts the hearer as something given, something that can be resisted, misunderstood, or rejected. This presupposes a plurality of possibilities—belief and unbelief, trust and refusal—that are not generated by the act of hearing itself. Differentiated possibility is real before faith, not produced by it.

Yet Luther is equally clear that the Word is not a bare datum. It is not an inert object awaiting interpretation. The Word does what it says. This is the logic of verbum efficax: proclamation is not mere description but divine action. Here Luther implicitly affirms the ontological reality of intelligibility. The Word does not become meaningful because the subject synthesizes it into a conceptual scheme. It is meaningful because God speaks. Intelligibility is given, not achieved.

This is where the Logos dimension becomes decisive. Luther does not speculate about the Logos in metaphysical terms, but his theology presupposes that what is spoken by God is already articulated in such a way that it can be heard, trusted, and confessed. The Word is not an inarticulate force. It is intelligible address. In the language developed earlier, the Word constitutes a teleo-space: a field of determinability in which faith, unbelief, obedience, and resistance become possible as meaningful determinations rather than as brute reactions.

The role of the Holy Spirit sharpens the picture further. Luther’s doctrine of the Spirit is explicitly anti-subjectivist. The Spirit does not function as an inner interpreter who supplements an otherwise incomplete Word. Nor does the Spirit merely ratify what the subject already understands. Rather, the Spirit is the divine agent who makes the Word effective—who brings about faith where and when it pleases God.

This efficacy must be carefully understood. The Spirit does not coerce belief. Luther is emphatic on this point. Faith cannot be forced; it is not mechanically produced. Yet neither is faith a voluntary construction. The Spirit works through the Word by pressing upon the hearer, by creating a situation in which trust becomes possible and refusal becomes culpable. This language of pressure, drawing, and address corresponds closely to what has been described above as normative weighting.

The Spirit’s work, for Luther, is therefore neither deterministic nor subjectivist. The Spirit does not bypass human agency, but neither does he depend upon it. Faith occurs in the subject, but it is not grounded in the subject. The Spirit weights the teleo-space opened by the Word such that trust in the promise is no longer arbitrary. One is addressed, summoned, and claimed. Yet the response remains genuinely human.

This structure allows Luther to hold together what modern accounts often tear apart. On the one hand, faith is a real determination—it is something that happens, something that can be named, confessed, and lived. On the other hand, faith is not a self-grounding act. It is the outcome of divine action operating within an intelligible and normatively ordered space that precedes the subject’s response.

What is crucial for present purposes is that Luther never allows the conditions of intelligibility or normativity to migrate into subjectivity. The Word remains extra nos. The Spirit remains Lord. The subject remains hearer and responder. In this way, Luther preserves precisely the asymmetry named in the axioms: donation without intelligibility (creation), intelligibility without closure (Word), and weighting without coercion (Spirit).

This does not mean that Luther offers a worked-out metaphysical account of teleo-spaces. He does not. But it does mean that his theology is disciplined by a grammar that modern subject-centered accounts often abandon. For Luther, the world is already structured by divine address before it is structured by human understanding. Normativity presses upon us before we choose. Determination occurs in us, but not from us.

With this in view, we are now in a position to see modern philosophy for what it is: not a neutral clarification of conditions, but a series of increasingly radical attempts to relocate the conditions Luther keeps extra nos. The next step, therefore, is to examine how this relocation unfolds—beginning with Immanuel Kant, for whom the conditions of intelligibility are explicitly transferred to transcendental subjectivity.

Section 4. Kant: The Transcendental Relocation of Intelligibility

With Kant the modern problematic comes fully into view. What Luther held extra nos—the intelligibility and normativity of the Word—Kant relocates, with great philosophical sophistication, into the structures of subjectivity itself. This relocation is not accidental, nor is it merely an expression of Enlightenment hubris. It is the result of a principled attempt to secure intelligibility without reverting to dogmatic metaphysics.

Kant’s fundamental question is not theological but epistemological: how are synthetic a priori judgments possible? How can judgments be both universally binding and informative without appealing to metaphysical insight into things as they are in themselves? Kant’s answer is well known. The conditions of possible experience—space, time, and the categories—are not derived from objects but supplied by the subject. Intelligibility is secured not by participation in an ontological order but by the transcendental activity of synthesis.

This move has genuine force. Kant rightly sees that intelligibility cannot be read off from empirical givenness alone. He also rightly resists the idea that reason can simply intuit metaphysical structures. In this sense, Kant preserves a critical insight that earlier metaphysics often lacked: intelligibility is conditioned. It is not immediate access to reality as such.

Yet in securing intelligibility, Kant makes a decisive shift. The conditions under which anything can appear as an object of experience are no longer ontological but transcendental-subjective. The categories do not articulate being; they articulate experience. Teleology, too, is displaced. Where earlier thought could treat purposiveness as a feature of reality, Kant restricts teleology to the reflective judgment of the subject. Purpose becomes a way we must think nature, not a way nature is.

From the perspective of the axioms governing teleo-spaces, this marks a fundamental relocation. Differentiated possibility is no longer grounded in reality as such, but in the manifold as structured by intuition. Determinability is no longer an ontological condition, but a function of conceptual synthesis. Teleo-spaces, if they can still be named at all, are no longer real fields of intelligibility but regulative frameworks imposed by the subject in order to make sense of appearances.

The consequences of this relocation are far-reaching. Once intelligibility is secured by the subject, normativity must follow suit. Obligation becomes a function of rational autonomy rather than of ontological weight. The moral law binds because reason legislates it to itself, not because reality presses upon the agent with normative force. Kant’s moral philosophy is therefore the ethical analogue of his epistemology: normativity is preserved, but only at the cost of detaching it from being.

This detachment is precisely what the axioms resist. Normative weighting, as described earlier, must be real prior to recognition if determination is to be non-arbitrary. Kant’s framework can explain why we must judge as we do, but it struggles to explain why this rather than that occurs in reality except by appeal to phenomenal causation or noumenal freedom—neither of which can bear the explanatory load Kant assigns them.

What is lost in Kant’s relocation is not merely metaphysical realism but the possibility of a coherent account of participation. If intelligibility and normativity are functions of subjectivity, then the subject cannot meaningfully be said to respond to reality. It can only organize or legislate. The asymmetry preserved by Luther—Word addressing, Spirit pressing, subject responding—collapses into symmetry. The subject becomes both the source and the measure of intelligibility.

This is not a flaw Kant overlooks; it is a cost he knowingly accepts. Yet once that cost is paid, theology faces a dilemma. Either it must translate divine action into the language of moral postulates and regulative ideas, or it must retreat into the unknowable noumenal realm. In either case, the extra nos structure that Luther insists upon is dissolved.

The subsequent trajectory of modern thought can be read as a series of attempts to mitigate this loss. Edmund Husserl will attempt to recover givenness by radicalizing intuition, while Emmanuel Levinas will displace intelligibility into ethical alterity. Both moves are intelligible responses to Kant’s relocation. Neither, however, reverses it.

It is to Husserl’s attempt to ground intelligibility in intuition rather than in synthesis that we now turn.

Section 4. Husserl: Intuition, Constitution, and the Relocation of Intelligibility

The transition from Luther to modern philosophy is not abrupt. It is mediated. And it is mediated above all by the attempt to preserve givenness after the collapse of classical metaphysics. If Kant secures intelligibility by relocating its conditions into transcendental synthesis, then Edmund Husserl represents the most serious effort to recover what Kant appeared to have lost: the sense that meaning is not merely imposed, but given.

For this reason, Husserl stands between Luther and Levinas in a decisive way. Like Luther, he resists the reduction of meaning to construction. Like Levinas, he senses that intelligibility exceeds conceptual closure. Yet unlike Luther, and unlike the Trinitarian grammar developed here, Husserl ultimately secures this excess by relocating it within transcendental subjectivity itself.

Husserl’s Principle of Principles—that whatever is given in originary intuition is to be accepted just as it is given—marks a genuine advance over Kant. Intuition is no longer treated as a passive receptacle structured by forms of sensibility, but as the site of fulfillment in which meaning presents itself. Meaning is not inferred, nor merely regulated; it is seen. In this respect, Husserl is right to insist that intelligibility is not an achievement of inference but a mode of givenness.

Yet the price of this insistence becomes clear as phenomenology unfolds. Givenness is not allowed to be ontological in the robust sense. What is given is given to consciousness, and objectivity is secured through constitution. The world is not denied, but its intelligibility is indexed to intentional life. Objects are what they are as correlates of noetic–noematic structures. Horizonality, profile, and fulfillment function as conditions of appearance, but they do so within the space of transcendental subjectivity.

This is where Husserl’s brilliance coincides with his limitation. He sees, with exceptional clarity, that determinacy presupposes determinability. No object is ever given exhaustively; every determination stands within a horizon of further possible determination. In this sense, Husserl comes very close to the logic of teleo-spaces. He understands that intelligibility requires openness, excess, and non-closure.

What he does not do—and what phenomenology as such cannot do—is allow this openness to be ontological prior to subjectivity. Horizonality is secured by consciousness itself. The determinable is ultimately grounded in intentional life. The collapse from determinability into determination, when it occurs, occurs through acts of fulfillment, recognition, or synthesis. Weighting, salience, and relevance are all functions of intentional structures.

From the standpoint of the axioms governing teleo-spaces, this constitutes a decisive relocation. Intelligibility is no longer something the world bears prior to being encountered. It is something that emerges through encounter. The subject does not merely participate in intelligibility; it underwrites it.

The Trinitarian account advanced here breaks with this move at its root. Teleo-spaces are not constituted by transcendental subjectivity. They are not dependent upon intuition, however originary. They are ontological conditions grounded in the Logos. Intelligibility precedes its disclosure. Meaning is real before it is seen. Determinability is not secured by horizon-consciousness, but by the Son as the one in whom what is given is already articulated as intelligible.

Likewise, the Spirit’s activity cannot be assimilated to intentional weighting. Normative pressure does not arise from structures of attention or fulfillment. It is not a function of salience within consciousness. It is the Spirit’s work of ordering and drawing within reality itself—prior to recognition, though never coercive of response. Weighting happens whether or not it is thematized. It presses before it is judged.

In this way, the Trinitarian grammar preserves what Husserl rightly sought without inheriting the subjectivist termination his project requires. Yes, intelligibility involves openness and excess. Yes, determination always occurs against a background of further possibility. But no, these conditions do not belong to consciousness as such. They belong to reality as created, articulated, and ordered by God.

Husserl therefore represents not a rejection of Kant, but a refinement of Kant’s relocation of intelligibility. What Kant secured through synthesis, Husserl secures through intuition. In both cases, the subject remains the final site of intelligibility. What is gained is phenomenological richness. What is lost is the extra nos structure that Luther insists upon and that the Trinitarian account of teleo-spaces restores.

The next step in the modern trajectory is not further refinement but displacement. If intelligibility cannot finally be grounded in ontology without dogmatism, and cannot be grounded in subjectivity without inflation, then it must be displaced elsewhere. It is this displacement—into ethical alterity rather than ontological order—that defines the move made by Emmanuel LevinasIt is to that move that we now turn.

Section 5. Levinas: Ethical Alterity and the Displacement of Ontology

If Husserl represents the most refined attempt to secure intelligibility within transcendental subjectivity, Emmanuel Levinas represents a decisive refusal of that entire project. Where Husserl still seeks a foundation for meaning—however fragile—in intuition and constitution, Levinas abandons the search for ontological grounding altogether. Intelligibility, for Levinas, does not arise from being, structure, or givenness. It erupts as ethical interruption.

Levinas’s starting point is a judgment about violence. Ontology, he argues, inevitably totalizes. To understand is to subsume, to place within a horizon, to render intelligible in terms of what already is. Even phenomenology, for all its sensitivity to excess, ultimately domesticates alterity by placing it within structures of appearance. Against this, Levinas proposes a radical alternative: meaning does not originate in intelligibility at all, but in responsibility. The Other addresses me before I can understand, before I can thematize, before I can judge. Ethics is first philosophy.

There is real power in this move. Levinas names something that neither Kant nor Husserl can adequately explain: the experience of obligation that does not arise from autonomy or intuition, but from being claimed. Responsibility precedes choice. The self finds itself accused before it understands itself. In this respect, Levinas preserves what modern philosophy has steadily lost—the asymmetry between address and response.

Yet the way Levinas secures this asymmetry comes at a steep cost. In order to prevent ontology from totalizing, he evacuates it. Being becomes neutral, anonymous, or even oppressive. Intelligibility is no longer something the world bears; it is something that must be resisted. Meaning migrates entirely into the ethical relation, which now bears the full weight of normativity without ontological support.

From the standpoint of the axioms governing teleo-spaces, this move constitutes not a correction but a displacement. Normative weighting is affirmed, but it is no longer grounded in reality as such. It becomes an event without structure, an obligation without intelligibility. The Other commands, but the command does not arise within a teleo-space; it ruptures all spaces. Weight presses without order. Responsibility binds without articulation.

This displacement solves one problem only by creating another. By severing normativity from intelligibility, Levinas renders ethical demand ultimately unintelligible. One is obligated, but cannot say why—not even in principle. The refusal of ontology becomes the refusal of explanation. What begins as a protest against violence ends as a prohibition against sense.

Here the contrast with Luther and the Trinitarian account could not be sharper. Luther does not deny asymmetry; he insists upon it. But the asymmetry of Word and Spirit is not anti-ontological. It is extra nos without being unintelligible. The Word addresses, but it also means. The Spirit presses, but does so within an intelligible order. Obligation arises not from sheer alterity, but from promise.

In the language developed earlier, Levinas affirms weighting while denying teleo-spaces. He insists that obligation presses upon the self, but he refuses to say that reality itself is normatively ordered. Weight is real, but order is suspect. As a result, the collapse from determinability into determination becomes ethically urgent but ontologically groundless.

The Trinitarian grammar advanced here allows one to preserve what Levinas rightly sees without paying this price. Yes, normativity precedes choice. Yes, the self is addressed before it constitutes meaning. But no, this address need not be unintelligible. Normative pressure can be real because reality itself is ordered—because the Logos articulates teleo-spaces and the Spirit weights them without coercion.

Levinas thus marks the final stage in the modern trajectory traced here. Kant relocates intelligibility into synthesis. Husserl relocates it into intuition. Levinas abandons intelligibility in favor of ethical rupture. Each move is intelligible as a response to the failure of the previous one. None, however, restores the extra nos structure that Luther insists upon and that the Trinitarian account of teleo-spaces finally secures.

What is required is neither a return to pre-critical ontology nor an abandonment of normativity into pure ethics. What is required is an ontology capable of bearing obligation without violence—an intelligible order that presses without coercing. That is precisely what the Trinitarian differentiation of Father, Son, and Holy Spirit makes possible.

Transitus: Trinitarian Order, Intelligibility, and the Refusal of Subjectivism

What has emerged across these sections is not a new Trinitarian doctrine but a clarification of order—an ordering that has been repeatedly obscured whenever intelligibility is made dependent upon subjectivity. The pressure driving this clarification was simple: teleo-spaces do real work, yet they cannot be reduced either to formal structures or to acts of consciousness. If intelligibility is real, it must be grounded prior to the subject without being indifferent to the subject. The Trinitarian grammar articulated here makes that claim precise.

The axioms stated at the outset already carried an ontological interpretation. They were not syntactic placeholders awaiting semantic enrichment, nor regulative ideals awaiting phenomenological fulfillment. They named real distinctions in the way intelligibility is given, articulated, and ordered. The Father’s donation of differentiated possibility establishes that intelligibility is not a projection. The Son’s articulation of teleo-spaces establishes that intelligibility is not brute. The Spirit’s weighting establishes that intelligibility is not coercive, mechanical, or exhausted by formal determination.

This Trinitarian ordering allows us to say something that modern philosophy has found difficult to say without contradiction: weighting precedes subjectivity, but determination often involves it. The Spirit’s activity does not arise from human consciousness, nor does it wait upon it. Normative orientation, salience, and pressure toward articulation occur within the created order as such. Yet the collapse of the determinable into the determinate—especially in ethical, practical, and interpretive domains—often requires finite agents who bear responsibility for judgment. This is not a failure of ontology but its proper economy.

Seen in this light, the contrast with Kant, Husserl, and Levinas becomes instructive rather than merely critical. Kant rightly saw that intelligibility cannot be read directly off the world, but by locating its conditions in the subject, he rendered teleology regulative rather than real. Husserl sought to recover givenness without metaphysics, but by absolutizing intuition he relocated donation within transcendental subjectivity. Levinas, finally, refused totalization altogether, preserving ethical interruption at the cost of intelligibility itself. Each, in different ways, preserved an insight while mislocating its ground.

The Trinitarian account advanced here refuses that mislocation. Intelligibility is neither imposed by the subject nor shattered by alterity. It is given—given as articulated possibility ordered toward fulfillment without closure. The Spirit does not generate meaning, secure reference, or complete determination. The Spirit authorizes, orients, and presses—drawing finite agents into participation without absorbing intelligibility into consciousness.

The payoff is methodological as well as theological. Theology need not choose between realism and humility, ontology and ethics, structure and freedom. When teleo-spaces are grounded in the Logos and ordered by the Spirit, intelligibility can be affirmed without domination, and responsibility can be borne without constructivism. Theology speaks here neither as metaphysical system-builder nor as phenomenological witness, but as disciplined confession—attending carefully to the order in which God gives, articulates, and draws creation into truth.

What follows from this is not closure but orientation. The axioms remain axioms not because they are arbitrary, but because they name what must be the case if intelligibility, freedom, and truth are all to be preserved. Further formalization is possible, and further dogmatic elaboration will be required. But the path is now marked: intelligibility is Trinitarian in its ground, teleological in its articulation, and pneumatic in its ordering. This is all prior to subjectivity yet without bypassing it.


Monday, February 09, 2026

Particularity, Intelligibility, and the Ground of Teleo-Spaces

Editorial Preface

This post consolidates a line of argument developed across several recent Disputationes essays. It brings into focus a Trinitarian account of intelligibility in which divine love grounds differentiated possibility, the Logos articulates this possibility into teleo-spaces without closure, and the Spirit orders participation normatively without coercion. The aim is not to conclude a system, but to mark a point of clarity that will serve as a foundation for subsequent systematic theological work.


1. The Pressure for Clarification

Philosophical clarification is rarely achieved by stipulation. More often it is forced upon us when a distinction that has done real work begins to reveal a pressure it cannot itself resolve. The present inquiry arises from precisely such a situation.

Much of my recent work has turned on the distinction between the determinable and the determinate. The distinction is familiar, but its metaphysical reach is often misunderstood. Determinables are not indeterminate determinates, nor are they abstractions from completed forms. They are conditions of intelligibility: that in virtue of which determinate articulation is possible without being necessitated. Within the domain of intelligibility, the distinction is exhaustive. Whatever can be meaningfully articulated is either determinable or determinate.

Yet that very exhaustiveness gives rise to a further question that cannot be deferred. If determinables and determinates exhaust what can be articulated as intelligible, what is it that intelligibility takes up? What must be given if there are to be determinables at all rather than a single undifferentiated possibility? Intelligibility, if it is real, cannot be self-grounding. It must have something to take up that is not already intelligible as such.

This question is not semantic, epistemological, or psychological. It is ontological. It cannot be answered by appeal to subjects, language, cultural practices, or interpretive communities without reversing the order of explanation. Nor can it be answered by positing universals or bare particulars without either collapsing particularity into abstraction or halting explanation at brute numerical difference. If intelligibility is irreducible, then the conditions under which it has something to take up must themselves be real and non-brute.

2. Teleo-Spaces and the Limits of Intelligibility

The pressure becomes acute once we attend carefully to the status of teleo-spaces. Teleo-spaces are not objects among objects, nor are they formal structures imposed by cognition. They are not subjective projections, nor are they hidden mechanisms within nature. They name the Logos-grounded openness of the real to intelligible articulation without closure. They are fields of determinability within which orientation, normativity, and judgment are possible.

But precisely for this reason, teleo-spaces cannot be the first ontological given. A teleo-space is already a space of intelligibility. To posit teleo-spaces as created as such is therefore to smuggle intelligibility into creation without explanation. Intelligibility cannot take itself up; nor can it be the product of its own exercise.

If the Logos articulates teleo-spaces rather than inventing them, then something must be given prior to that articulation—something that is not yet intelligible, but that can become intelligible without loss or remainder. The task, then, is to identify what can be ontologically prior to intelligibility without either becoming brute or collapsing into conceptual form.

3. The Question Forced Upon Us

What, then, does God create if teleo-spaces are intelligible only through the Logos? What must be given if intelligibility is to have something to take up rather than floating free as a self-sufficient structure? How can there be plurality without universals, individuation without matter, and differentiation without determination?

These questions are not optional. They arise from the very success of the determinable/determinate distinction and from the refusal to allow intelligibility to become either subjective or self-grounding. Following them where they lead forces a clarification that is metaphysical in scope but transcendental in method. It also forces us to reconsider the role of divine love—not as a devotional overlay, but as a candidate for ontological explanation.

The claim I will develop is that what God creates is not individuals prior to intelligibility, nor determinables awaiting specification, but differentiated possibility: addressable particularity that is not yet articulable. Teleo-space names the Logos-grounded intelligible openness of what is first given to be loved. Love, on this account, is not subsequent to intelligibility but its condition. It grounds particularity without determination, plurality without abstraction, and addressability prior to articulation.

This clarification does not introduce a new metaphysical posit. It names what must already be presupposed if intelligibility is to be real rather than illusory. As with Kant’s reflecting judgment, the claim is not that we have theoretical knowledge of such grounding, but that we are rationally compelled to think it if we are to make sense of what we already do. Philosophy here does not legislate. It acknowledges what sustained reflection has made unavoidable.

4. Individuation Without Determination

The clarification now required turns on a classical problem, though it arises here in a distinctive form: the problem of individuation. If what God creates is not teleo-space as such, nor determinables awaiting specification, then whatever is created prior to Logos-grounded intelligibility must nevertheless be differentiated. Intelligibility does not merely require something to take up; it requires more than one. A single undifferentiated possibility would be indistinguishable from none at all.

Yet this differentiation cannot be explained by appeal to any of the familiar metaphysical strategies. Matter cannot individuate, since what is at issue is prior to all material determination. Universals cannot individuate, since the very motivation for the present account is the rejection of strong realism about universals as explanatorily adequate. Structural relations cannot individuate, since relations presuppose relata already given as distinct. And bare particulars, whatever their heuristic appeal, halt explanation precisely where explanation is demanded: numerical difference becomes brute.

The difficulty can be stated sharply. We require an account of plurality without properties, difference without determination, and individuation without matter or form. Whatever grounds such differentiation must do so without rendering what is differentiated intelligible as such, for intelligibility is precisely what is still at stake. The differentiated items must be distinct enough to be addressable, yet not so structured as to count already as determinables.

This is why it is a mistake to construe the present proposal as introducing a third category alongside the determinable and the determinate. The distinction between determinable and determinate remains exhaustive within intelligibility. What is now in view is ontologically prior to that distinction. The differentiated possibilities at issue are not vague determinables, proto-properties, or incomplete concepts. They are not “thin” beings awaiting enrichment. They are not items within the space of reasons at all.

What, then, keeps these differentiated possibilities from collapsing into one another? What accounts for their non-interchangeability if not properties, relations, or forms? To answer this question by appeal to divine fiat would be to accept brute difference ate the deepest level of explanation, precisely where metaphysics ought to resist it most.

The only viable alternative is that differentiation at this level is grounded not in what these possibilities are, but in how they are addressed. Addressability, unlike describability, does not presuppose intelligible content. One can be addressed without yet being articulable. To be singled out for address is not yet to be brought under a concept, but it is to be distinguished from others in a way that is neither arbitrary nor structural.

This is the point at which the metaphysical inquiry forces a theological answer. Differentiation without determination requires a ground that is neither conceptual nor mechanical, neither abstract nor formal. It requires a ground that can particularize without specifying, that can distinguish without predicating. Only love meets these conditions. Love is inherently particularizing. It does not rest in generalities, nor does it operate through shared properties. Love addresses this rather than that, and in doing so establishes non-interchangeability without appeal to form.

If God is love, then the creation of differentiated possibility is not an opaque metaphysical puzzle but the natural expression of divine agency. God creates not abstractions to be later specified, but addressees to be loved. These addressees are given enough ontological particularity to be non-substitutable, yet not enough structure to count as intelligible. They are neither determinables nor determinates, but the ontological condition under which determinability itself can arise.

In this way, individuation is secured without brute fact and without conceptual anticipation. Love grounds plurality prior to intelligibility. The Logos does not invent what it articulates; it renders intelligible what has already been given to be loved.

5. Differentiated Possibility and the Logos

Once individuation without determination has been secured, the role of the Logos can be stated with greater precision. The Logos does not create what the Father creates, nor does the Logos add intelligible content to an otherwise complete ontological item. The Logos articulates what has already been given as addressable particularity. This articulation does not enrich a deficient being; it renders what is already differentiated intelligible without exhausting it.

This distinction is crucial. If the Logos were to introduce differentiation, then intelligibility would be responsible for individuation, and the earlier problem would simply reappear in a new form. Intelligibility would again be doing work it cannot do without collapsing into brute fact or conceptual imposition. Conversely, if the Logos merely revealed what was already intelligible, then teleo-spaces would be epiphenomenal, and the entire account would reduce to a realism about pre-formed structures. Neither option is acceptable.

The Logos instead grounds teleo-spaces: intelligible fields of determinability within which what has been given to be loved can be articulated without closure. A teleo-space is not a thing, nor a property, nor a relation. It is a mode of intelligible openness—a structured availability to determination that does not itself determine. In this sense, teleo-spaces are constitutively Logos-grounded. They exist only as acts of articulation, yet they do not invent their content.

This allows us to say something precise about the relationship between possibility and intelligibility. The differentiated possibilities created by the Father are not possibilities within intelligibility. They are not modal alternatives waiting to be selected. They are ontological loci that can be taken up into intelligibility but are not yet so taken up. Teleo-space names the transition from addressability to articulability, from what can be loved to what can be understood.

The Logos thus performs a non-competitive constitutive act. Nothing is added to the created order, and nothing is displaced. What changes is not what is, but how what is can count as intelligible. The Logos makes determination possible by grounding the space within which determinables can appear as such. Yet this grounding never necessitates determination. Articulation opens; it does not compel.

This point bears directly on Christology. If the Logos articulates rather than universalizes, then the incarnation does not operate by assuming a general human nature whose properties are then redistributed. It operates by articulating a particular locus of differentiated possibility into maximal intelligibility. What is assumed is not a universal, but a concrete addressable particular. Salvation, on this account, is not participation in an abstract nature but alignment with an articulated life.

Here the inadequacy of strong realism about universals becomes evident. Without universals, it may seem unclear how the work of Christ can reach beyond Christ himself. But that difficulty arises only if one assumes that intelligibility must be mediated through generality. If intelligibility is instead grounded in articulation of particularity, then what Christ accomplishes is not the elevation of a universal, but the opening of teleo-spaces within which other particular lives can be articulated, ordered, and drawn into alignment.

The Logos, then, is not the source of particularity but its intelligible availability. What the Father creates to be loved, the Logos renders articulable. The distinction between pre-determinable possibility and determinable intelligibility is preserved, and with it the integrity of both creation and reason.

6. The Spirit and Normative Weighting within Teleo-Spaces

If the Father grounds differentiated possibility through love, and the Logos articulates that possibility into teleo-spaces as fields of intelligible determinability, then a further question presses with equal force: how are determinations oriented within those fields without being necessitated? Articulation alone does not account for normativity. A teleo-space may render multiple determinations intelligible, yet intelligibility by itself does not explain why some possibilities appear as better, fitting, or worthy of alignment than others.

This is the point at which the role of the Holy Spirit must be clarified—not as an afterthought, and not as a merely subjective supplement, but as a constitutive causal agent operating in a distinct mode. The Spirit does not introduce new intelligible content, nor does the Spirit determine outcomes. Rather, the Spirit weights possibilities within teleo-spaces, ordering them normatively without coercion.

The distinction required here is that between event/event causality and agent/act causality. Teleo-spaces, as Logos-grounded, belong to the former register insofar as they are real features of the created order. They structure what can intelligibly occur. The Spirit’s work, by contrast, is not the production of events but the orientation of agents. The Spirit acts not by causing one determination to occur rather than another, but by rendering certain determinations salient as worthy of pursuit.

This weighting must not be misconstrued as probabilistic pressure or causal bias. The Spirit does not function as a hidden variable in a deterministic process. Nor does the Spirit operate by inserting new information into the teleo-space. Weighting is normative, not mechanical. It concerns how possibilities present themselves to subjective spirits as demanding response, not how events unfold independently of agency.

Here it is helpful—though only analogically—to speak of prehension. Subjective spirits do not invent the normative order of teleo-spaces, but they are capable of taking up that order, feeling its pull, resisting it, or aligning with it. The Spirit communicates not propositions but orientation. What is communicated is not content, but direction: how one might live, act, or speak in faithfulness to the intelligible order already articulated by the Logos.

This preserves a crucial asymmetry. The Spirit’s work is deeply interior to subjectivity, yet not grounded in subjectivity. The Spirit thinks through us without being reducible to our thinking. Normative orientation is experienced personally, but it is not generated personally. Subjects participate in the Spirit’s weighting, but they do not constitute it. This avoids both enthusiasm and moralism. The Spirit neither bypasses reason nor replaces it; the Spirit orders reason from within its own intelligible field.

Equally important, this account preserves freedom. Because weighting is non-necessitating, alignment remains an act rather than an effect. Subjects can refuse the pull of the Spirit without thereby rendering that pull illusory. Indeed, refusal itself presupposes the reality of the normative orientation it resists. Faith, on this account, is not assent to a proposition but alignment with a weighted possibility. It is a lived responsiveness to a teleo-space ordered by the Spirit toward God’s will.

Seen in this light, the Trinitarian structure of the account comes fully into view. The Father creates differentiated possibility to be loved. The Logos renders what is loved intelligible without closure. The Spirit orders intelligible possibility normatively without coercion. No person of the Trinity performs a function that excludes the others, yet no function collapses into another. There is one divine act, irreducibly triune in its modes.

This clarification also allows a final distinction to be maintained with precision. The Spirit does not ground truth; that belongs to the Logos. Nor does the Spirit donate being; that belongs to the Father. The Spirit authorizes, orders, and draws—making alignment possible without making it inevitable. Where this ordering is acknowledged, theological language can be spoken faithfully. Where it is resisted, intelligibility remains, but communion is fractured.

At this point, nothing essential has been left unaccounted for. Intelligibility is grounded without being made brute. Particularity is secured without universals. Normativity is real without determinism. Freedom is preserved without voluntarism. What remains is not a gap in the account, but its horizon: the lived enactment of faith within teleo-spaces weighted by the Spirit and articulated by the Logos, all grounded in the Father’s love for the particular.

6.5. Preliminary Formalization: Ontological Donation and Trinitarian Articulation

The account developed thus far has been intentionally conceptual rather than formal. That choice reflects a methodological judgment: formalization can clarify structure, but it cannot generate ontology or secure intelligibility. Nevertheless, because the present proposal will serve as a foundation for later systematic work, it is appropriate to indicate—at least schematically—how its core distinctions admit of disciplined formal expression.

What follows is therefore not a calculus, nor a completed formal system. It is a typed scaffold designed to make explicit the commitments already in play and to guard against category mistakes as the account is extended.

We begin with a minimal ontological typing.

Let 𝔏 denote the class of pre-determinable loci of possibility. Elements of 𝔏 are not determinables, not determinate entities, not universals, and not semantic contents. They are addressable particulars: numerically distinct loci grounded in divine love and given prior to intelligibility.

Let 𝕋 denote the class of teleo-spaces. Elements of 𝕋 are not objects but intelligible fields of determinability. A teleo-space is that within which determinables can appear as such without being necessitated.

Let 𝔇 denote the class of determinables, and 𝔡 the class of determinates. The determinable/determinate distinction is exhaustive within intelligibility, and only within intelligibility.

The first constitutive relation is that of creative love. This is not a causal function in the event–event sense, but a grounding relation:

Loves(F,x)for xL.Loves(F, x) \quad \text{for } x \in \mathfrak{L}.

Love grounds non-interchangeability without determination. No predicates, properties, or relations among elements of 𝔏 are presupposed. Numerical distinction is real, but it is grounded personally rather than formally.

The second constitutive relation is Logos-articulation. This may be represented schematically as a partial articulation mapping:

Λ:LT.\Lambda : \mathfrak{L} \Rightarrow \mathfrak{T}.

This notation is intentionally non-functional. The Logos does not map loci to determinate contents, nor does it exhaust what is articulated. Rather, Λ names the act by which addressable particularity is rendered intelligibly open—that is, taken up into teleo-space. No element of 𝔏 thereby becomes a determinable; instead, it becomes articulable within a space of determinability.

Within a given teleo-space tTt \in \mathfrak{T}, there exists a field of determinables DtDD_t \subseteq \mathfrak{D}, together with an ordering relation that is teleological rather than algorithmic. This ordering is incomplete, non-total, and non-necessitating.

The third constitutive relation concerns the Holy Spirit’s work of normative weighting. This may be represented as a weighting relation:

W:T×DR+.W : \mathfrak{T} \times \mathfrak{D} \rightarrow \mathbb{R}^{+}.

Weighting orders possibilities within teleo-spaces without causing their realization. It is normative rather than mechanical, orienting agents rather than producing events. No weighting function entails determination; all agentive alignment remains genuinely responsive.

Several prohibitions must be stated explicitly to preserve the integrity of the account. There is no mapping from 𝔏 to 𝔇. There is no closure principle governing teleo-spaces. There is no subject-constitutive relation grounding either teleo-spaces or determinables. And there is no universal instantiation relation doing soteriological work.

Formalization, thus understood, serves a negative as well as a positive role. It marks where explanation must stop if brute fact is to be avoided, and it enforces the Trinitarian distribution of explanatory labor: ontology belongs to the Father, intelligibility to the Logos, and normative authorization to the Spirit. Any later formal development that violates this order will thereby reveal its own category mistake.

In this way, preliminary formalization does not replace metaphysical argument but protects it. It makes visible the logical shape of the account without pretending to capture its ontological depth. As the systematic project develops, this scaffold may be refined, expanded, or partially revised. What it must not do is obscure the fundamental insight that has driven the entire inquiry: intelligibility presupposes addressable particularity, and addressable particularity is grounded in divine love.

7. Trinitarian Unity and the Metaphysical Shape of Faith

The clarification reached in the preceding sections allows the overall shape of the account to come into view. What began as a pressure internal to the determinable/determinate distinction has led, step by step, to a Trinitarian metaphysics in which creation, intelligibility, and normativity are ordered without being partitioned. At no point has an additional metaphysical layer been introduced for its own sake. Each distinction has been forced by the refusal to allow intelligibility to become either self-grounding or subjectively constituted.

The guiding insight can now be stated succinctly. Intelligibility presupposes addressable particularity. Teleo-spaces, as Logos-grounded fields of determinability, are real and irreducible, but they are not ontologically first. They require something to take up—something that is neither a universal nor a determinate, neither a conceptual content nor a brute particular. That requirement cannot be met by formal structure, material individuation, or abstract necessity. It can be met only if creation itself includes differentiated possibility grounded in divine love.

This grounding does not fragment divine agency. On the contrary, it displays its unity. The Father creates by loving into being addressable particularity. The Son articulates what is loved into intelligible openness without closure. The Spirit orders intelligible possibility normatively, drawing agents toward alignment without coercion. These are not separable acts, nor are they successive interventions. They are distinct modes of one divine act, irreducibly triune in its structure.

Seen in this light, faith assumes a metaphysical shape that resists both abstraction and reduction. Faith is not assent to a universal proposition, nor participation in an abstract nature. It is alignment with a particular life articulated within a teleo-space and weighted by the Spirit. Its path is necessarily particular because its ground is particular. God’s preferential option for the that over the what does not bypass reason; it makes reason possible as lived orientation rather than detached description.

This has direct consequences for systematic theology. The collapse of strong realism about universals does not entail the collapse of soteriology or Christology. On the contrary, it forces their re-articulation at the level of particularity. The incarnation is not the elevation of a universal human nature but the maximal articulation of a loved particular into perfect intelligibility and obedience. Redemption, correspondingly, proceeds not by instantiation but by address, articulation, and alignment. What Christ accomplishes is not distributed through a shared essence but made available through teleo-spaces opened by the Logos and ordered by the Spirit.

Methodologically, the argument remains transcendental rather than dogmatic. As with Kant’s reflecting judgment, the claim is not that we possess theoretical knowledge of divine grounding as an object. It is that we are rationally compelled to think such grounding if we are to make sense of intelligibility, normativity, and faith as they are actually lived. The alternative is not a different metaphysics but the quiet abandonment of metaphysical responsibility in favor of either reduction or silence.

This post therefore marks neither a conclusion nor a completed system. It marks a point of clarity—a place where sustained reflection has made certain moves unavoidable. The formal scaffolding sketched above is provisional, but the insight it protects is not. Any future systematic development that hopes to take intelligibility, faith, and particularity seriously will have to reckon with the claim advanced here: that divine love is not merely compatible with metaphysics, but is its deepest explanatory ground.

What remains is to develop this account further—Christologically, pneumatologically, and ecclesially—without surrendering the hard-won distinctions that have brought us this far. That work lies ahead. But the path is now visible.

Find this article at academia.edu: https://ilt.academia.edu/DennisBielfeldt/Foundations%20of%20Theological%20Reasoning%20(2025-26)

Saturday, February 07, 2026

Determinability, Intelligibility, and Logos

Preface: Scope, Status, and Method

This essay arises from a philosophical pressure sustained over many years rather than from a decisive encounter with a particular text or debate. It is not the product of having read the right book at the right moment, but of repeatedly returning to the same question while thinking seriously about transcendental conditions, explanation, and intelligibility. Over time, that question has clarified itself into the claim defended here.

The text should therefore be read neither as a finished treatise nor as a narrowly targeted journal article. It is a programmatic working paper: an attempt to place a conceptual kernel in public view, to articulate its internal structure with some rigor, and to test its resistance to the most obvious misunderstandings. Much of what follows will receive fuller and more formal treatment in later book-length work. Here the aim is not exhaustion but orientation.

Two methodological commitments govern what follows. First, philosophical conviction is treated as a legitimate mode of rational insight. The argument advanced here is not offered because it is fashionable or easily situated within existing schools, but because it survives sustained internal scrutiny. Second, the essay deliberately moves between discursive exposition and schematic reconstruction. Where informal explanation risks obscurity, formal articulation is introduced; where formalism would distort the issue, ordinary philosophical language is retained.

Readers should not expect a complete metaphysical system or a comprehensive engagement with the secondary literature. They should expect a tightly focused question—how determinacy is possible at all—and a sustained attempt to answer it without regress, stipulation, subjectivism, or mystification.

Orientation: Why This Question Cannot Be Avoided

Any serious metaphysical account eventually confronts a question that is more often displaced than answered: under what conditions can anything be determinate at all? This is not a merely epistemological or semantic question. It is ontological, and it concerns intelligibility as such. To be is to be determinate; yet determinacy cannot be self-grounding. If every determination required a further determination to account for its determinacy, explanation would dissolve into infinite regress. If, on the other hand, determinacy were simply posited as brute, metaphysics would collapse into stipulation.

The central claim defended here is simple but far-reaching: determinability is not itself a determination. It is the condition under which determinations are possible at all. Because it is not a determination, it does not stand in need of further conditions of the same kind. Properly understood, this halts regress without dogmatism and avoids both reductionism and negative mysticism.

The task of this essay is fourfold. First, it clarifies the distinction between determination and determinability. Second, it formalizes the regress argument and diagnoses the category mistake that generates it. Third, it introduces the notion of teleo-spaces as regions of intelligible determinability. Finally, it explains why the traditional concept of Logos names this condition more adequately than its modern competitors, even while remaining ontic in its historical deployments.

I. Determination and Determinability

To speak of determination (Bestimmtheit) is to speak of what is articulated, structured, or fixed: a form, a law, a property, a proposition, a norm, a state of affairs. Determinations are always many. They admit of revision, correction, refinement, and replacement. Scientific theories, metaphysical categories, linguistic meanings, and ethical norms are all determinate in this sense.

Determinability, by contrast, is not one more determination. It is the condition under which anything can count as a determination at all. It is what allows distinctions to hold, meanings to stabilize, and norms to bind, without itself becoming one more item among those distinctions, meanings, or norms.

This distinction is not optional. Any attempt to treat determinability as itself a determinate entity—whether material, conceptual, linguistic, or subjective—reintroduces the very regress it was meant to avoid. If determinability had conditions of the same kind as determinations, those conditions would themselves presuppose determinability, and explanation would never get started.

The key insight is therefore this: determinability is determinability all the way down. It does not bottom out in a more basic determination, because it is not a member of the series it makes possible. The condition for determinability would be determinability itself—not by circular stipulation, but by structural necessity. This is not a vicious circle but the recognition of ontological priority.

II. Formalizing the Regress and the Category Mistake

The informal distinction between determination and determinability can be sharpened by introducing minimal formal machinery. The purpose of this formalization is not technical completeness but diagnostic clarity: it allows us to see precisely where the regress arises and why it depends on a category mistake.

II.1 Minimal Ontological Typing

Let us distinguish two ontological types:

  • Type D₁ (Determinations): items that can be determinate or indeterminate in the ordinary sense—properties, propositions, laws, norms, forms, states of affairs.

  • Type D₂ (Conditions of Determinability): that in virtue of which D₁-items can be determinate at all.

Introduce a predicate Det(x) meaning “x is determinate.” This predicate is well-formed only for x ∈ D₁. This restriction is not stipulative. It reflects the functional role of determinacy: only items that can enter into relations of identity, difference, correctness, and truth-aptness are candidates for being determinate.

II.2 The Regress Schema

Any determinate item raises the question of what accounts for its determinacy. Formally:

  1. For any x ∈ D₁, if Det(x), then there is some y such that y conditions Det(x).

  2. If every such y were itself an element of D₁, then Det(y) would likewise require conditioning.

  3. This generates an infinite regress of the same explanatory kind.

The regress is vicious not merely because it is infinite, but because the explanandum—determinacy—is never reached. Explanation is indefinitely deferred.

II.3 Exhaustive Responses and Their Failure

There are only four possible responses to this regress:

  1. Accept the infinite regress and abandon explanatory completion.

  2. Introduce a brute stopping point.

  3. Posit a self-determining entity.

  4. Draw a category distinction between determination and determinability.

The first three options either abandon explanation or collapse into circularity. Only the fourth avoids both.

II.4 The Category Mistake

The regress arises only if one assumes that the condition of determinacy must itself be determinate in the same sense. That assumption commits a category mistake. Determinacy is a predicate applicable only to what stands within the space of distinctions, identities, correctness, and truth-aptness. Determinability, by contrast, is the condition under which that space exists at all.

To ask whether determinability is determinate is therefore not to raise a deeper metaphysical question, but to misapply a predicate beyond its domain of sense. The demand for further determination does not go unanswered; it fails to get a foothold. Once this distinction is respected, the familiar regress dissolves—not by stipulation, but because the demand for further determination no longer has coherent application.

This is not an ad hoc exemption. It is a restriction on applicability analogous to asking whether a rule is heavy, whether a number is blue, or whether validity is taller than soundness. In each case the predicate has sense somewhere, but not here. The same holds for determinacy when applied to determinability.

III. Likely Objections and Replies

Objection 1: Is this a brute stopping point?

No. A stopping point is brute only where an applicable explanatory demand is refused. Here the demand for further determination does not apply. Determinability does not belong to the class of determinate items to which such demands attach.

Objection 2: Why not treat determinability as a higher-order determination?

Higher-order determination is still determination. Treating determinability as such simply reproduces the regress at a different level. The problem concerns the kind of explanation required, not the level at which it is given.

Objection 3: Can formal systems or structures ground determinacy?

Formal systems presuppose determinacy: symbols must already be distinguishable, rules applicable or misapplicable, correctness conditions intelligible. Structure articulates intelligibility once given; it cannot generate intelligibility as such.

Objection 4: Is this transcendental idealism without the subject?

No. The argument distinguishes epistemic access from ontological dependence. Determinability is encountered only through acts of judgment, but it is not constituted by them. Subjects participate in intelligibility; they do not produce it.

IV. Teleo-Spaces: Regions of Intelligible Determinability

Determinability is not an abstract vacuum. It is always encountered as oriented intelligibility: regions in which certain kinds of determination make sense and others do not. These regions may be called teleo-spaces.

A teleo-space is a space of possible sense, not a set of rules or a horizon of disclosure. Scientific explanation, ethical normativity, mathematical proof, and theological discourse each inhabit distinct teleo-spaces with their own internal standards of success and failure. These standards are not imposed from without, nor reducible to convention; they are made possible by determinability itself.

Teleo-spaces also mark the limits of formalization. Formal systems operate within teleo-spaces: they presuppose a prior orientation toward what would count as adequacy, correctness, or satisfaction within a given region of inquiry. No amount of formal articulation can by itself generate that orientation, because it is precisely what renders formalization intelligible as formalization. Teleo-spaces thus explain both the power and the limits of formal systems: why formalization succeeds locally, and why it necessarily leaves a remainder that cannot be absorbed into syntax or model alone.

Teleo-spaces therefore mediate between determinability and determinate practices. They orient without necessitating, ground without fixing, and enable identity without closure. They are not historical horizons that open and close, but stable regions of intelligible determinability presupposed by historical practice.

V. Why the Name “Logos” Is Not Optional

Once determinability is recognized as a non-determinate condition of intelligibility, the question is no longer whether such a condition exists, but how it is to be named without distortion. Appeals to structure, normativity, modality, or inferential roles all presuppose what they purport to explain, since each operates only within an already determinate space of sense.

At this point, recourse to Logos is not optional but practically unavoidable. Even the most rigorously naturalistic and materialist accounts of order and intelligibility—most notably in Stoic philosophy—were compelled to invoke Logos in order to account for the objectivity of reason, normativity, and order. In Chrysippus, Logos names the rational principle pervading and organizing the cosmos, the source of lawlike necessity and intelligible structure. The persistence of this appeal is not accidental; it registers the pressure to acknowledge an objective ground of intelligibility that is neither subjective nor conventional.

Yet precisely here the limits of Stoic Logos become visible. Chrysippean Logos is a determinate, ontic, and causally operative principle within the world. As such, it belongs to the very order of determinate explanation whose intelligibility it is meant to secure. The present argument explains why such a move is both inevitable and insufficient. Logos must be invoked, but it cannot finally be located as one more determinate principle among others without reintroducing the regress it was meant to halt.

The Logos identified here is therefore not a revival of Stoic cosmology, nor an importation of theology by fiat. It names a deeper role: the non-determinate condition of intelligibility as such, forced by a regress argument concerning determination. Formal systems, scientific theories, and languages do not create intelligibility; they inhabit it. They presuppose a teleological orientation toward sense that cannot be formalized without remainder. That remainder is not a defect. It is the condition of possibility for meaning itself.

VI. Concluding Orientation

The argument presented here does not offer a new metaphysical system. It clarifies the condition under which metaphysical systems are possible at all. Determinability is not what lies beneath beings, behind beings, or beyond beings, but that by virtue of which beings can be determinate in the first place—without itself becoming one more thing that must be explained.

Without this clarity, metaphysics oscillates endlessly between regress and dogma, formalism and mysticism. With it, intelligibility can be affirmed as real, irreducible, and grounded—without closure and without despair.

See a more complete version at academia.edu: https://ilt.academia.edu/DennisBielfeldt/Foundations%20of%20Theological%20Reasoning%20(2025-26)