Monday, October 20, 2025

Disputatio XVIII: De Finibus Modeling Theologici et Transcendentia Veritatis

On the Limits of Theological Modeling and the Transcendence of Truth

Omne modelum theologicum est verum participative, sed finitum formaliter. Finis modeling theologici non est defectus sed indicium transcendenciae veritatis divinae, quae non comprehenditur sed communicatur. Spiritus Sanctus servat hunc ordinem, ut finitum maneat capax infiniti sine confusione.

Every theological model is true by participation but finite in form. The limit of theological modeling is not a defect but the sign of divine transcendence—the truth of God that cannot be comprehended yet can be communicated. The Holy Spirit preserves this order, ensuring that the finite remains capable of the infinite without confusion.

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Thesis

Theological models are necessarily bounded expressions of divine truth. Their formal incompleteness is not failure but fidelity: each model bears witness to a truth that exceeds it. The transcendence of truth is thus the very condition of theology’s realism—the sign that its words refer beyond themselves to the living God whom no concept can contain.

Locus classicus

“Oh, the depth of the riches and wisdom and knowledge of God! How unsearchable are his judgments and how inscrutable his ways!” — Romans 11:33

The Apostle’s exclamation affirms that divine truth is both knowable and unsearchable. Theology does not abolish mystery; it articulates it. The depth of divine knowledge marks the horizon of all theological modeling.

Explicatio

Every theological model seeks to interpret the language of faith (T) within an ontological structure that makes its truth intelligible. Yet by its very nature, this interpretation is bounded. Finite language cannot capture infinite reality, but it can participate in it.

Modeling’s limit is therefore intrinsic and theological. To express it formally (and then explain):

  • Let M denote a theological model, and V the divine truth it seeks to express.

  • The relation M ⊂ V means that the model is contained within the divine truth, not the reverse.

  • The inclusion is analogical, not spatial: theological truth exceeds every formalization because it is grounded in divine self-being (ipsum esse subsistens).

This limit does not undermine theology’s validity; it guarantees it.
If theology could exhaust divine truth, God would be reduced to a logical totality. Instead, the Spirit maintains an open horizon—a structured incompleteness analogous to Gödel’s insight that every consistent system points beyond itself.

Thus, the incompleteness of theology is not an epistemic failure but a mark of its realism. To speak truly of God is to acknowledge that one’s words refer beyond themselves to the inexhaustible fullness of divine meaning.

In theological modeling, then, there are two horizons of truth:

  1. Formal completeness (perfectio formalis) — the coherence and internal truth of the model itself.

  2. Transcendent adequacy (adequatio transcendens) — the degree to which the model participates in divine reality beyond all system.

The Spirit bridges these horizons, ensuring that theology’s finite models remain ordered toward the infinite without dissolution or despair.

Objectiones

Obiectio I. If every theological model is limited, theology can never yield certainty; all statements about God remain provisional.

Obiectio II. To speak of limits implies that divine truth is in principle unknowable, collapsing theology into apophatic silence.

Obiectio III. The analogy to Gödelian incompleteness introduces a mathematical formalism alien to the nature of revelation.

Responsiones

Ad I. Theological certainty differs from mathematical completeness. It rests not on exhaustive comprehension but on participatory adequacy. The believer’s assurance (certitudo fidei) arises from communion, not closure. Certainty in theology is relational — it depends on the faithfulness of the Revealer, not the fullness of our models.

Ad II. Limits do not negate knowledge but define its sanctity. To know God truly is to know Him as inexhaustible. The more theology apprehends, the more it perceives the excess of what remains. The apophatic and the cataphatic are not opposites but concentric movements around divine mystery.

Ad III. The Gödelian analogy is illustrative, not foundational. It serves to illuminate the principle that truth transcends formal systems. As logic points beyond itself to meaning, so theology points beyond itself to the living God. The analogy expresses theological humility, not technical equivalence.

Nota

The finitude of theological models discloses their vocation. They are not idols but icons: transparent forms through which divine light passes. An idol contains what it names; an icon reveals what exceeds it. To model truly is to construct such icons—finite forms ordered toward infinite reality.

In this light, theology’s incompleteness becomes a virtue. A perfect model would contradict its own subject, for God cannot be reduced to formula or schema. The Spirit’s presence ensures that each model remains porous, open to transcendence, capable of bearing infinite significance within finite form.

We might symbolize this relation (and then immediately explain it):

T + M → Vwhere T is the language of faith, M the model interpreting it, and V** (“V-star”) the transcendent truth that grounds both. This notation reminds us that truth (V**) always exceeds its modeled representations (V), even as it grants them participation.

Hence, theology’s structure is eschatological: every true model anticipates its fulfillment in glory, when formal adequacy and divine presence will finally coincide (FT = TC = V**).

Determinatio

From the foregoing it is determined that:

  1. Theological modeling is necessarily finite; its limit is the sign of divine transcendence, not the mark of error.

  2. Truth in theology is participatory: each model communicates a real share in divine reality without exhausting it.

  3. The Spirit mediates this participation, sustaining both coherence (formal felicity) and openness (transcendent adequacy).

  4. The incompleteness of theology secures its realism: it acknowledges the otherness of God while truly speaking of Him.

  5. Therefore, theology’s task is not to eliminate its limits but to sanctify them — to make every model an icon of mystery, transparent to the infinite truth that alone fulfills it.

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