Robert DryerTheology & philosophy

A CATHOLIC PHILOSOPHICAL ATLAS / THIRTEEN INVESTIGATIONS

From God.
Like God.
Still other.

Thirteen connected investigations into received reality, free action, truthful disclosure, and communion.

One source, distinct finite expressions Arrows of dependence connect three finite expressions to an unreceived source. The source is not a part of the expressions. Positions are diagrammatic, not spatial claims about God. gx₁x₂x₃ UNRECEIVED SOURCEDIFFERENT MODES · REAL LIKENESS

Dependence is not a spatial interval.
Shared perfection is not shared substance.

THE ATLAS / 13 INVESTIGATIONS

Received reality.
Responsible action.
Communion.

One connected inquiry into reality, dependence, freedom, disclosure, and fulfillment within Catholic thought.

A received life can genuinely be the creature’s life. These investigations ask how that life can be actual, known, freely exercised, healed, and fulfilled, while God remains neither constituted nor completed by creation. Philosophical arguments, historical evidence, and revealed commitments enter with their own warrants.

Find a question across all thirteen pages

The five working engines are analytical jobs, not five demonstrated metaphysical primitives. Each page gives a positive account, its indispensable bridge, a serious rival, and its remaining burden. Read the source and warrant method →

For the related theological studies, visit Robert Dryer: faith and understanding. Philosophical arguments and received revelation meet there without becoming interchangeable.

Continue with the original Participation investigation ↓

00 / WHAT THIS PAGE IS

A constructive reconstruction of participation metaphysics

This page asks a deliberately narrow question: what is the smallest honest metaphysical grammar needed to explain how a finite creature can be from God, genuinely like God, and yet remain genuinely other than God?

A creature can receive its life and genuinely live it. A power can be given and genuinely belong to the one who exercises it. Christian participation metaphysics begins with that conjunction: real possession without independence. Created being, goodness, life, intelligibility, and power come from God, yet creatures are not pieces of God. Their actuality is received according to their own modes; the divine source is neither divided among them nor completed by them.

The problem is to explain this conjunction rather than repeat it. Participation, analogy, exemplarism, procession, likeness, and return often carry several claims together. This inquiry separates them: what makes a creature actual, what it depends upon, what it genuinely possesses, what it consists of, what it can express, and what would fulfill it. It then asks what warrants each passage. Participation is the connective relation, not a substitute for those arguments.

The initial hypothesis was that actuality, received dependence, and measure might be sufficient. The proposed reconstruction needs more. Dependence alone does not establish likeness. Underivation excludes proper intrinsic constituents only when composition entails dependence. A finite effect’s inability to exhaust an unlimited source does not establish that the source was free not to produce it. Identifying these missing bridges makes the account stronger: every conclusion receives its own reason rather than borrowing the force of another.

The resulting grammar is “minimal” within its stated language and assumptions. Combining many axioms into one enormous axiom would shorten the list without shortening the argument. Each retained premise must contribute something the others do not supply. Removing a premise and testing rival models therefore play a central role. If likeness disappears when causal adequacy is removed, causation was never enough to establish likeness. If noncomposition disappears when the principle connecting constitution to dependence is removed, underivation was never secretly simplicity. If freedom disappears while non-exhaustion remains, inexhaustibility was never secretly freedom.

The historical tradition is used in the same disciplined way. Plato, Gregory of Nyssa, Augustine, Dionysius, Maximus, Eriugena, Anselm, Bonaventure, Aquinas, Scotus, Przywara, and others are not treated as teaching one identical hidden system. They offer overlapping solutions to recurring problems: participation without partition, likeness without identity, causal intimacy without constitution, transcendence without distance, manifestation without exhaustion, and dependence without rivalry. The constructive synthesis belongs to this project, even where its elements are deeply rooted in the tradition. Newman’s account of development is used only analogically, as a test of whether the synthesis preserves rather than reverses the tradition’s central achievements.

As a Christian interpretation, the project preserves Creator–creature distinction, creation without divine material, divine sufficiency, real creaturely goodness, and real divine causality. Philosophy asks how these commitments can be articulated coherently and which arguments support them. Revelation supplies further determinations: ordinary participation in created being does not by itself establish grace, the Trinity, the Incarnation, or beatific communion.

The methodological rule. Keep the categories apart long enough to discover why they belong together.

Given the stated source and causal principles, a finite being can genuinely possess received actuality and express its source according to its own mode, while the source remains undivided and uncompleted. Dependence explains the gift; it does not make the recipient’s life less real.

The receiver’s measure measures the reception. It does not measure the source.

The next open question

The next question concerns divine agency: how can God freely and knowingly create this world rather than another without acquiring an intrinsic determination? This reconstruction already excludes proper intrinsic constituents, given an underived source and the principle that a whole depends on such constituents. It does not establish every stronger account of divine simplicity or explain free creative action. Further work must defend the relevant principles and explain how divine action has a determinate intention and how God knows it, without building freedom or knowledge into their definitions.

A constructive proposal with conditional derivations and provisional historical verification; not a proof of global minimality or a definition of doctrine.

How to read this page

Begin with received possession and the positive meaning of finite measure. Then read the basis and derivations, and use the deletion lab to test each premise. The genealogy and source ledger distinguish historical resources from this project’s constructive proposals.

01 / THE VERDICT

A small grammar.
A larger burden of proof.

Actuality, received dependence, and measure are not sufficient. They cannot establish likeness, exclude God as a constituent of creatures, or establish free creation without additional premises.

The smallest proposed result here is a conditional, vocabulary-relative reconstruction—five basic groups of concepts, nine distinct assumptions, and stated additional premises where a conclusion requires them.

01 / THE CAUSAL GAP

From does not yet mean like.

Dependence does not entail corresponding perfection. A principle of causal adequacy must explain why an effect genuinely resembles its source.

02 / THE CONSTITUTIVE GAP

Uncaused does not yet mean partless.

An underived source lacks composition only if a whole depends on its constituents. A simple source could still be a constituent of something else.

03 / THE MODAL GAP

Inexhaustible does not yet mean free.

No finite expression measures an unlimited source. That inequality does not produce another possible world.

What “minimal” means. Relative irredundancy in an explicit language and interpretation. It is not a proof of the globally smallest possible metaphysics: conjunction can turn nine axioms into one, and richer predicates can conceal them in definitions. The accompanying formal dossier supplies witness assignments; it does not establish philosophical truth by computation.

This is a substantive provisional synthesis. Selected primary texts and archived scholarship were consulted; the source ledger distinguishes them from unconsulted critical editions and specialist works. The historical survey is broad, but not fully source-verified.

PARTICIPATION / THE CONNECTIVE RELATION

Received possession.
Real creaturely life.

Participation connects realization, dependence, agency, manifestation, and fulfillment. Each connection needs its own warrant.

A received life is genuinely the creature’s life

Participation means real, dependent possession of received actuality or perfection according to the participant’s mode. Real possession matters as much as dependence: the creature actually lives, understands, and acts. What comes from a source is realized in the recipient; it is not merely a description of the source projected onto an otherwise empty appearance. Dependence concerns why the perfection obtains. Possession concerns where and how it obtains. These questions can have different answers without contradiction.

Receiving a power does not yet amount to exercising it. To establish genuine creaturely action, add a further principle: some received powers are productive powers of the creature itself, whose exercise remains sustained by God. Divine causality and creaturely causality then explain one event in different respects. The creature’s dependence does not erase its authorship. An occasionalist rival denies this further principle, so real secondary agency must be defended rather than extracted from the word participation.

Expression needs intelligible correspondence

An effect can disclose its source because the relation connects what is realized in the effect with something true of that source. Mere production does not establish every proposed attribution. A machine can print meaningful words without understanding them. An artisan can shape stone without being stone. An effect may therefore establish causal capacity while leaving intrinsic perfection, intention, or personal character undecided.

The positive bridge proposed here is stronger: a genuine perfection in a derivative effect has an adequate ultimate source in which the corresponding positive content genuinely obtains, though not necessarily under the effect’s received mode. This is Q, the causal-adequacy principle. It requires an account of the positive content, not just the claim that the source can cause it. Exemplarism and the tradition of the logoi offer historical accounts of this source-related intelligibility. Their exact metaphysical commitments still require comparison.

Under Q, participation can become objective expression even when nobody recognizes it. Recognition is another achievement: knowledge requires a truth-conducive relation and warranted uptake. Thus causal origin, expressive likeness, and warranted knowledge remain distinct. This lets the account affirm genuine manifestation while identifying exactly what a finite effect permits us to say.

Finite measure can help constitute a good

Finite reception does not exhaust an unlimited source. Yet finitude is not a single defect to be removed from every creaturely good. Three cases matter. A privation, such as ignorance, impedes an appropriate good. A constitutive finite condition helps make a particular good what it is: a melody needs succession, and a promise needs a history in which fidelity can be enacted. Removing distortion can improve the same melody; sounding every note at once abolishes it.

An adverse occasion is different again. Courage can be good in danger, and forgiveness can be good after injury. The goodness of the response neither makes the threat or injury good nor justifies causing it. A theory of fulfillment must preserve the response’s positive actuality while refusing to manufacture a justification of evil from it.

God can ground the positive reality of learning without learning, and the good of courage without undergoing danger. The entire finite description need not be transferred to its source. Likewise, finite knowledge need not be false or vague. A finite proposition can state something exactly true without reproducing the whole actuality of its object. The measure comparison in this model concerns finite reception of actuality; it is not a proof that every finite statement is inadequate.

Fulfillment preserves the participant

Origin answers why a participant is; fulfillment asks what would perfect it. The second question requires an account of the subject’s good. Participation becomes ordered toward fulfillment when received powers can attain fitting ends, rather than merely continue to exist. Knowledge, fidelity, friendship, and love can then be real creaturely achievements. Their dependence on God does not relocate their history inside God or make them stages in divine self-completion.

Communion adds more than resemblance or causal contact: distinct persons know and love one another. Its reality requires their difference to endure. The Christian account of grace and beatific vision therefore extends the natural grammar with revealed commitments. It promises God himself, not merely a created substitute, while preserving the creature’s finite act of reception. Finite measure need not mean distance, and immediacy need not mean exhaustive comprehension. Return is the participant’s fulfillment without absorption into its source.

The five working engines are analytical jobs. Determination–Realization asks what is actual and what realizes a difference. Dependence–Origin asks what explains it. Possibility–Agency asks what could differ and how an agent acts. Manifestation–Measure asks what is disclosed and with what warrant. Goodness–Fulfillment asks what would perfect the subject. These jobs help audit the argument; they are not the five primitive groups of the formal model below.

Read the shared guide to the three investigations →

02 / THE BASIS

Keep the categories apart.

Everything below is a modern constructive proposal. Historical texts supply constraints and resources; no author is credited with this formal system.

ONTOLOGICALCAUSALQUALITATIVECONSTITUTIVEMODAL
Cᵥ(y,x,q)
Productive causation. y produces or sustains a real perfection q in x. Causing something remains distinct from being a constituent of it.
Dᵥ(x,y,r)
Ontological dependence. x depends on y for its actuality in respect r. This concerns what sustains or explains x, rather than merely what would happen if y were absent.
Hᵥ(x,q,m)
Qualitative realization. x really possesses a candidate positive perfection-content q in mode m. Selecting that content requires independent warrant; a complete finite-kind description is not automatically a pure perfection. Corresponding content does not mean a shared entity or genus.
Kᵥ(z,x)
Intrinsic constituency. z is a proper part or constituting principle within x. This distinguishes what x consists of from what causes it.
Jᵥ(x)
Intrinsic actuality. What x is in itself in possible situation w. This lets us ask whether different effects require a change within their source.
Disclosed background assumptions. Identity, typed quantification, possible worlds, qualitative indices, and a mode-order with bounded values and ∞ are also used. C and D are factive; K is actual, irreflexive, and transitive; H has one complete mode per subject/respect. A(x) is defined as ∃m H(x,e,m), and μₑ(x) is that mode. Actuality remains semantically primitive in realization, not a sixth independent predicate. J records intrinsic facts not assumed exhausted by selected H/K facts; if that coverage were exhaustive, J could be eliminated. Nine counts substantive clauses relative to this background, not every assumption.

The proposed account assumes an actual source g and scopes the domain to created beings/principles and their source. It does not prove God’s existence or necessity, model divine hypostases as additional created beings, or adjudicate Trinitarian distinctions, incarnation, or grace. Candidate “positive” contents must be warranted independently; shared q is not defined as “whatever God causes.”

NINE INDEPENDENTLY MOTIVATED CLAUSES

GUniversal sustaining causality

The designated source g presently causes or sustains every other actual being and its positive perfections. This includes sustaining each creature’s existence.

A(x) ∧ x ≠ g ∧ H(x,q,m) ⇒ C(g,x,q)

Conditional theological profile. Remove it: A genuinely actual creature with no source remains possible. Dependence “in every moment” cannot then be claimed.

CPCausal dependence

Productive or sustaining causation grounds an effect’s actuality in the relevant respect. This bridge is not silently packed into the word “cause.”

C(y,x,q) ⇒ D(x,y,q)

Causal bridge. Remove it: Causal arrows can coexist with no ontological dependence. Production no longer establishes the Creator–creature interval.

UThe source depends on nothing

The designated source receives none of the actuality or perfection by which it is actual. This does not by itself say that it is infinite, simple, or existent.

¬∃y,r D(g,y,r)

Conditional theological profile. Remove it: An unlimited source may itself depend upon another. A cycle of grounding or divine completion is admitted.

QCausal adequacy of the ultimate source

An independently identified positive perfection-content caused by the ultimate source has corresponding content in that source, under a potentially different mode. Both the selection of q and this possession bridge need argument. A complete finite-kind description is not transferred wholesale: causing learning does not imply learning. The principle does not apply to every instrumental cause, and must mean more than “can cause q.”

C(g,x,q) ∧ H(x,q,m) ⇒ ∃n H(g,q,n)

Perfection bridge. Remove it: Causation no longer establishes corresponding source-perfection for an additional content q; likeness and manifestation in that respect become underivable. Shared existential actuality can remain.

KDComposition entails dependence

A composite’s actuality depends upon its proper intrinsic constituents. Underivation plus this principle excludes composition of the source.

K(z,x) ⇒ D(x,z,e)

Constitution bridge. Remove it: A composite source can simply be stipulated independent of its own intrinsic parts.

KHConstituents do not exceed the whole

An intrinsic constituent cannot exceed the whole containing it in the relevant capacity for actuality. This goes beyond a theory of parts and wholes and must be defended independently.

K(z,x) ⇒ μₑ(z) ≤ μₑ(x)

Mode / constitution bridge. Remove it: An unlimited source may be stipulated an intrinsic constituent of a finite creature.

FSUnbounded source actuality

The source is unlimited in actuality. Underivation does not prove this. Unlimitedness in another perfection requires its own argument; adequacy alone supplies corresponding content, not an infinite degree.

μₑ(g) = ∞

Conditional theological profile. Remove it: An underived, simple, finite source is possible; some finite expression can match its measure.

FCBounded created actuality

Every actual other has a bounded mode of actuality. This is not a restriction on the source. “Bounded” is not a reduction of all perfections to a numerical quantity.

A(x) ∧ x ≠ g ⇒ μₑ(x) < ∞

Conditional theological profile. Remove it: An other can possess the source’s unlimited measure. Nonidentity survives, but finite non-exhaustion is lost.

XUnchanged source across creation alternatives

Differences in created effects do not constitute differences or gains in the source’s intrinsic actuality. Underivation at each world does not alone prove this comparison across worlds.

Jᵥ(g) = Jᵥ′(g) for admissible creation alternatives

Modal / relational bridge. Remove it: Different created histories may be correlated with different intrinsic states of the source, without those effects grounding the source’s actuality within either possible world.

DEFINED TERMS — NO THEOREM INSIDE THE DEFINITION

Rec(x,q,g)
C(g,x,q) ∧ ∃m H(x,q,m): a real perfection caused by g and genuinely possessed by x. Likeness is not assumed.
P(x,g,q)
Rec(x,q,g) ∧ D(x,g,q): real, dependent possession in this causal model. Whether it also expresses the source depends on Q; agency and finality need further principles.
L(x,g,q)
∃m,n [H(x,q,m) ∧ H(g,q,n)]: qualitative agreement. It does not encode equality of modes, identity, or a common genus.
E(x,g,q)
P(x,g,q) ∧ L(x,g,q): objective causal expression in the model’s restricted sense. This combines received realization and corresponding source-content. It establishes neither an observer’s knowledge nor a particular divine message or intention.
U(y)
¬∃z,r D(y,z,r): underivation. No infinity or simplicity is concealed here.
Simple(y)
¬∃z K(z,y): no proper intrinsic composition. This leaves disputed formal distinctions and energies unadjudicated.
Non-exhaustion
μₑ(x) < μₑ(g) for finite actual x; an actuality-mode comparison, not a blanket theory of representation.
Can the candidate primitives be eliminated?

Source is a role; reception, participation, expression, and communication are defined. Likeness needs qualitative realization, not a new likeness primitive. Perfection requires an independently defended positive-content interpretation of q. Measure may be stored inside H, but removing its information destroys finite/infinite claims. Eliminating C collapses productive and constitutive grounding; eliminating K makes nonconstituency inexpressible; eliminating J loses the cross-world intrinsic/extrinsic distinction. Actuality can be represented by actual-domain semantics rather than A, but that changes notation, not the question of existence. These are information-loss tests, not proofs that no alternative interdefinition could work.

03 / THE DERIVATIONS

Fifteen claims.
Unequal logical status.

Arrows show the clauses used in this reconstruction. “Conditional” means that the stated assumptions about the source are adopted; no cosmological existence proof is being presented.

G + CP + U
→
caused or sustained actuality → asymmetric dependence → effect ≠ source
Q + realized content
→
real causal likeness; different mode remains possible
KD + U
KH + FS + FC
→
no components in source; source is no component in creature
FS + FC
→
finite actuality cannot measure source actuality
X + V + W
→
unchanged intrinsic fullness; alternatives; intentional choice
Inspect all fifteen theorem assessments
ClaimParticipation theoremUsesExact result
T1Participation without partition
Conditional
G, CP, U, KD, KH, FS, FCKD + U exclude a creature as a constituent of g. KH + FS + FC exclude g as a constituent of a creature. This excludes intrinsic incorporation in either direction; other substance–mode ontologies require their own account.
T2Likeness without identity
Conditional
CP, U, QFor an actual C(g,x,q) effect with H(x,q,m), Q supplies shared content. If x were g, CP would imply dependence of g, contradicting U. No difference is hidden in the definition of reception.
T3Likeness without common genus
Extra bridge
G, Q, U, KD, NThe basic assumptions block an inference from likeness to genus; it does not prove that no genus exists. N + KD + U exclude natural genus-membership. Scotist univocity of a concept is a separate issue.
T4Dependence without reciprocal completion
Conditional
G, CP, UEffects depend on g; no actuality of g is grounded in them. “Completion” must mean acquisition or grounding of intrinsic perfection, not merely true external predication.
T5Causal intimacy without constituent identity
Conditional
G, CP, U, KD, KH, FS, FCG requires the source to sustain actuality in the present. T1 rules out intrinsic constituency in either direction. Intimacy names this present sustaining dependence, not spatial closeness; it does not exclude secondary causes.
T6Transcendence without distance
Compatibility
G, CP, U, FS, FCUnequal modes and underivation coexist with present causation. The theory neither places God at a spatial location nor proves a spatial negative from a language without space.
T7Finite manifestation without exhaustive representation
Qualified
G, Q, FS, FCSource-related content can be truly manifested while a finite realization fails to match unlimited source actuality. Objective expression is not yet warranted recognition. A finite proposition can be exactly true; the mode comparison does not disqualify every representation or infinite aggregate.
T8Real communication without source-completion
Conditional
G, CP, Q, U, XH places the received perfection really in the participant; C gives its productive origin. Nonpartition is established separately by T1. U excludes completion grounded in the effect; X additionally excludes intrinsic gain correlated with different communications.
T9Creaturely perfection without independent Forms
Economy, not exclusion
G, QH records what the creature really possesses; q indexes intelligible content without introducing an actual detached Form. An independently existing Form is unnecessary for this account of sourced perfection. Its nonexistence requires an additional ontological closure principle.
T10Divine immanence without pantheistic identity
Conditional
G, CP, U, KH, FS, FCPresent sustaining causality and source–effect nonidentity jointly hold. This excludes identity-pantheism; “panentheism” remains too varied a label to refute by one theorem.
T11Asymmetric Creator–creature relation
Qualified
G, CP, U, XD is an actual creaturely grounding fact; source intrinsic actuality is not constituted by changed effects. Aquinas’s further “real / relation of reason” classification requires a school-specific relational ontology.
T12Finite measure belongs to the recipient
Indexed fact
FS, FCH indexes mode to its subject. FC bounds creatures; FS independently leaves the source unbounded. Subject-indexing alone would never prove divine infinity.
T13Many expressions, no multiplied source
Non-entailment
G, CP, U, KD, XKD + U exclude composition of g; X allows multiple created effects with unchanged intrinsic source actuality. Many effects do not entail many divine constituents. This does not settle formalities or energies.
T14No finite participation measures the unlimited source
Conditional
FS, FCFor actuality e, every finite μₑ(x) is strictly below μₑ(g). For another perfection q, add unlimitedness of the source and boundedness of that participation in that very respect.
T15No particular expression necessitated by fullness
Extra modal premise
X, VV supplies a genuine no-creation alternative with the same source fullness, so no finite expression is necessary from that fullness. W is additionally required for intentional free selection. Neither follows from non-exhaustion.
Step-by-step: the five compressed claims
  1. Dependence without identity: C(g,x,e) yields D(x,g,e) by CP. If x = g, U is contradicted. Neither difference nor identity was included in Rec.
  2. Likeness without partition: an actual H(x,q,m) caused by g yields H(g,q,n) by Q. KD + U forbid constituents of g. KH + FS + FC forbid g as a constituent of x.
  3. Likeness without genus: shared H is insufficient for genus-membership. To exclude a natural genus, add N’s composition account; KD + U then rule it out. Logical common predicates remain possible.
  4. Transcendence without distance: FS + FC establish unequal modes, while G gives present causation. No spatial or temporal separation is needed. A full doctrine of divine nonlocality needs a further account of spatiality.
  5. Dependence without rivalry: universal divine causality is compatible with genuine created causes. To establish real creaturely agency, add actual secondary powers and their ordered concurrence. The base alone still admits occasionalism.
The five-line formula is insufficient. It needs a positive-perfection bridge, a theory of constitution, and explicit assumptions about the source. The fuller Christian account also needs free intentional creation, genuine secondary agency, and a defended account of ex nihilo: production without an uncreated material co-source or divine material. Ex nihilo does not entail a temporal first instant.
04 / THE DELETION LAB

Remove a clause.
Watch the argument lose a step.

The explorer tracks the stated proof paths. A missing path is not a proof of underivability by every imaginable alternative argument. Countermodels and their scope are documented in the formal dossier.

Select your commitments

13 / 15

listed proof paths available, including qualified results

T1T2T3T4T5T6T7T8T9T10T11T12T13T14T15
All nine basic assumptions are selected.The strict no-common-genus result needs N. Contingency needs V; intentional freedom also needs W. Genuine secondary agency remains a separate commitment.

V supplies alternatives; W adds intentional freedom. Neither is derived by FS + FC. This is a dependency explorer, not a theorem prover.

04 / THE INDEPENDENCE AUDIT

No deletion gets a free substitute.

The countermodels are schematic formal witnesses, not assertions that their rival ontologies are philosophically coherent in every other respect. The formal dossier states actual assignments and retained-clause checks.

Inspect the nine deletion witnesses
RemoveInformation lost / rival witnessWhy it matters
GDeistic or immanent remainder: some actual perfection persists without the designated source.A genuinely actual creature with no source remains possible. Dependence “in every moment” cannot then be claimed.
CPA merely succession-based causal model, with C but no corresponding D.Causal arrows can coexist with no ontological dependence. Production no longer establishes the Creator–creature interval.
UA source whose actuality is grounded in an actual creature, despite its unlimited mode.An unlimited source may itself depend upon another. A cycle of grounding or divine completion is admitted.
QAn opaque source causes a living effect while no corresponding life can be attributed to the source.Causation no longer establishes corresponding source-perfection for an additional content q; likeness and manifestation in that respect become underivable. Shared existential actuality can remain.
KDAn uncaused but composite deity. Simplicity does not follow from “uncaused” alone.A composite source can simply be stipulated independent of its own intrinsic parts.
KHA panentheistic constituent-model: the source belongs to the creature without transferring its unlimited capacity.An unlimited source may be stipulated an intrinsic constituent of a finite creature.
FSA finite ultimate artisan: underivation and noncomposition remain, but inexhaustibility does not.An underived, simple, finite source is possible; some finite expression can match its measure.
FCAn unlimited derived effect that matches the source’s measure without becoming numerically identical.An other can possess the source’s unlimited measure. Nonidentity survives, but finite non-exhaustion is lost.
XAn intrinsically responsive deity. Independence within each possible world does not establish the same intrinsic actuality across different possible worlds.Different created histories may be correlated with different intrinsic states of the source, without those effects grounding the source’s actuality within either possible world.
Rival-ontology audit

Platonism: an underived actual causal Form inside the domain violates G + CP; inert abstracta or q-reification remain open absent a closure principle. Identity-pantheism: source–effect identity violates CP + U for an actual effect; mode-based substance theories need a further account of inherence. Constituent panentheism: violates KH + FS + FC or KD + U; other meanings of panentheism need separate examination. Occasionalism: remains compatible until secondary powers are asserted. Necessary emanation: satisfies non-exhaustion while violating V. Deism: universal sustaining causality G excludes a causally detached effect, but needs a temporal interpretation to refute merely historical creation. Absolute idealism: is not refuted by vocabulary alone; identity versions fail, but “all effects mental” requires further discrimination. Purely immanent causation: can realize the generic causal grammar; the assumptions of an underived, unlimited source that is no creature’s constituent distinguish the proposed Christian interpretation.

Why simple asymmetry was removed

A generic axiom that all D is asymmetric would be stronger than necessary. For actual source-caused effects, CP and U already establish the needed asymmetry: x depends on g, and g cannot depend on x. The final basis therefore drops global asymmetry. It neither permits a vicious divine–creature explanatory cycle nor unnecessarily rules out every unrelated form of reciprocal creaturely dependence.

MODAL / THE FREEDOM TEST

Room for freedom is not freedom.

Non-exhaustion defeats one possible necessity argument: no finite effect is an adequate measurement or completion of unlimited actuality. It does not defeat every argument for necessary production.

A countermodel

Let an unlimited source necessarily produce one finite effect at every world. Its mode stays unlimited; the effect stays bounded; neither is part of the other. Every participation clause about measure can hold. Creation is still necessary.

The missing premises

V: a genuine no-creation alternative with the same source fullness; weaker different-effect worlds may retain one necessary creature. W: intelligent self-determination without intrinsic, external, or unique-maximization necessity. An answer to the modal collapse problem must explain how the same intrinsic divine fullness permits God to will different creations.

FS + FC ⇏ V V + X ⇏ W V + X + W ⇒ intentional selection among live creation alternatives No claim here resolves every version of the modal-collapse objection.

The non-exhaustion intuition supplies a negative opening: finite adequacy does not necessitate the communication. Establishing contingency requires genuine possible alternatives; establishing freedom requires intentional agency. An explanatory account must additionally connect intelligence, goodness, and willing rather than rename unexplained alternatives “choice.”

05 / THE GENEALOGY

A tradition of overlapping solutions.

These are material contributions, not a chronology of uniform doctrine. Exact evidence and interpretive limits sit in the linked research dossiers.

Explore the historical contributions and disagreements
PHILOSOPHICAL BACKGROUND

Plato & Aristotle

Contribution. The whole/part problem makes “sharing” dangerous; exemplarity and different causal orders make it intelligible.

Aristotelian causal priority does not itself deliver Christian ex nihilo or universal sustaining causality.

Parmenides 130e–131e; Timaeus 28a–29b; Metaphysics Λ.7, 1072b

PHILOSOPHICAL BACKGROUND

Plotinus & Proclus

Contribution. One source, undivided presence, procession and return offer resources for nonpartition and causal excess.

Necessary procession is a live rival to free creation. Similar vocabulary cannot erase this modal difference.

Enneads V.2.1; VI.9.3; Elements of Theology props. 23, 26–30

PATRISTIC RESOURCES

Gregory of Nyssa & Augustine

Contribution. Nyssen inexhaustible participation and Augustine’s non-acquired wisdom distinguish received finite perfection from source actuality.

Epektasis does not become a proof of divine infinity by being renamed “non-exhaustion.” Augustine’s divine ideas are not independent substances.

Life of Moses II.230–239; City of God XI.10; De diversis quaestionibus 83, q.46

CAUSAL PRECONTAINMENT / LOGOI

Dionysius & Maximus

Contribution. Effects can truly exhibit causal likeness without reproducing the source’s mode. Logoi distinguish intelligible reasons from contingent realization.

Dionysian procession is not automatically necessitarian. Maximus’s willing logoi are not a many-part divine interior.

Divine Names II.5, V.8, IX.6; Ambiguum 7, PG 91, 1080A–1085B

THEOPHANY / ENFOLDING

Eriugena & Cusa

Contribution. Manifestation and enfolding explain why source transcendence need not be remoteness.

Retrieve them only with causal asymmetry and nonconstitution guards. Interpretive pressures toward divine self-constitution must remain visible.

Periphyseon I.446D, I.455B; De docta ignorantia I.2, II.3

NONRECEPTIVE PERFECTION / EXEMPLARISM

Anselm & Bonaventure

Contribution. Composition depends on constituents; mutable likeness does not supply the exemplar’s actuality. Vestige, image, and similitude discriminate forms of expression.

Bonaventure’s diffusion of goodness concerns necessary trinitarian fecundity in VI.2; it is not a proof of necessary creation.

Monologion 17, 31, 34; Itinerarium II.11–13, III.1–3, VI.2

INTELLIGIBILITY / CONTINGENT ACTUALIZATION

Henry of Ghent & Scotus

Contribution. Possible intelligibility and actual production need not be one operation. Divine cognition and volition demand careful modal distinctions.

Henry’s necessary possible-essence hierarchy and Scotus’s formal distinction are not interchangeable. Univocity of being is not a common natural genus.

Henry: Summa art.21 q.4, art.24 q.3; Scotus: Ordinatio I d.2 p.1 qq.1–2, I d.35, I d.39

CAUSALITY / RECEIVED ESSE / RELATIONS

Aquinas

Contribution. Necessary beings can still be caused; real creaturely powers can operate under universal divine causality; recipient mode does not migrate into the source.

Participation in esse is a strong witness, not the compulsory vocabulary for the entire tradition. Mixed relations require his relational framework.

ST I qq.3–4, 13, 15; q.44 a.1 ad2; q.45 a.3; q.105 a.5

DISTINCTION / ANALOGY

Damascene, Palamas & Przywara

Contribution. Image kinds, real uncreated communication, and likeness within greater dissimilarity test whether the common grammar is broad enough.

Noncomposition is not “no real distinction whatsoever.” Essence–energies and scholastic formalities cannot be erased by a blanket claim that every difference concerns only the effects.

Damascene: On Holy Images III, image-types; Palamas: Triads III.2; Przywara: Analogia Entis

DEVELOPMENT AS ANALOGICAL METHOD

Newman

Contribution. Preservation, continuity, assimilation, sequence, anticipation, conservation, and chronic vigour discipline constructive synthesis.

A new system cannot demonstrate centuries of chronic vigour. Explanatory fruitfulness is a provisional adaptation, not Newman’s exact seventh note.

Essay on Development, ch. V, opening §4 and §§I–VII

METHOD / DOCTRINE & DEVELOPMENT

Continuity without forced agreement.

A metaphysical reconstruction can preserve Christian commitments without becoming a defined ecclesial doctrine. Newman supplies an analogical discipline, not retrospective authorization.

The broad Christian constraints

Creator–creature distinction; ex nihilo; divine non-dependence; real creaturely goodness; divine transcendence and causality; creation by intelligent willing; distinction without pantheistic identity. These constrain a Christian interpretation. The nine-clause calculus does not independently demonstrate them all.

The historically variable explanations

Essence–esse composition, logoi, rationes, formalities, essence–energies, models of analogy, and classifications of relations are explanatory architectures. They may genuinely conflict. The shared grammar must not assume away the disagreement.

NEWMAN-STYLE ASSESSMENT

Preservation of typePreserves finite goodness caused by God and God’s independence; a provisional pass.
Continuity of principlesConserves distinction, real causality, and nonpartition. Infinity and freedom remain explicit commitments.
AssimilationIntegrates exemplar, mode, grounding, and expression without equating formalities with energies.
Logical sequenceMakes bridges visible and drops redundant generic asymmetry. This is a constructive sequence, not a historical proof.
AnticipationAntecedent texts anticipate several distinctions, not this exact formal vocabulary.
Conservative actionClarifies inherited achievements without attributing the synthesis backward.
Chronic vigourNot demonstrated for a new system. Rival-model stability and explanatory fruitfulness are only provisional substitutes.

Verdict: a defensible candidate development of an explanatory grammar, with explicit unresolved tensions. It is neither a demonstration that all historical models agree nor an ecclesial claim that this system is defined doctrine.

06 / WHERE EXPLANATION FINALLY STOPS

Conceptual recursion.
Ontological asymmetry.

The proposed circle—actuality → reception → measure → participation → source → unreceived actuality—can organize inquiry. It cannot replace the argument that the source exists or the principles connecting these categories.

Four different circles

Definitional: A defined by P and P by A is vicious unless independently grounded. Here C, D, H, K and J are primitive; A is defined noncircularly by H. Epistemic: reasoning from effects to a source and back can be justified only if the premises have independent warrant.

Where explanation terminates

Explanatory: mutual conceptual illumination is not a productive explanation. Ontological: CP + U forbid explaining divine actuality by the very effects whose actuality it grounds. Underivation terminates a dependence inquiry; it does not explain away actuality itself.

“Unreceived actuality” is not another stuff placed behind actuality. It names a negative dependence status of an actual source. Whether actuality is primitive, intelligible, and necessarily instantiated cannot be settled by that name.

The best verdict is a network of constrained primitives with an asymmetric explanatory endpoint. No benign circle is needed as a proof. Actuality remains primitive in H’s real realization, while A is convenient notation. Causation, quality, constituency, and modality cannot be explained merely by hiding them inside a sufficiently strong “dependence” predicate.

THE THIRD WAY

Creator and creature are genuinely different. The core of participation is real dependent possession according to the recipient’s mode. With the additional causal, perfection, constitution, and source principles defended, that core supports likeness without common genus, presence without constituency, and communication without partition. Agency and finality then extend the account rather than being hidden in its definition. The distinctive result is an asymmetrical relation in which dependence and genuine creaturely reality belong together.

A finite being can receive real actuality and express its source in its own mode, while the source remains undivided and uncompleted. The receiver’s measure measures the reception. It does not measure the source.

THE SMALLEST HONEST FORMAL STATEMENT

Signature: C, D, H, K, J; identity, worlds, q-indices, mode order. A(x) := ∃m H(x,e,m); μₑ(x) := its mode. Conditional base: G ∧ CP ∧ U ∧ Q ∧ KD ∧ KH ∧ FS ∧ FC ∧ X. P(x,g,q) := C(g,x,q) ∧ D(x,g,q) ∧ ∃m H(x,q,m). P(x,g,q) ⇒ L(x,g,q), by Q. P(x,g,e) ⇒ x ≠ g, by CP + U. A(x) ∧ x ≠ g ⇒ μₑ(x) < μₑ(g), by FS + FC. Strong no-genus: add N. Universal finite contingency: add V. Freedom: add W. Actual secondary agency and ex nihilo require further defended premises.

CONTINUE THE INQUIRY

Beyond Participation: Divine Simplicity and Freedom

How can divine simplicity coexist with free creation and knowledge that God does not acquire from creatures?

Continue to Part II
Q&A / DIRECT ANSWERS

Questions & answers

From God, like God, and genuinely other: direct answers to the participation questions.

01How can a creature be genuinely from God without being a piece of God?

A creature possesses an actuality that God causes and sustains. That actuality is genuinely the creature's: the received life is its life, and a received capacity can be its capacity to exercise. Participation names this real, dependent possession. Dependence answers where the actuality comes from; possession answers whose actuality it is. Neither answer cancels the other. A source can therefore sustain another reality without turning it into a portion of its own substance.

Nonpartition requires an argument in addition to that definition. If proper constituents make their whole depend upon them, absolute underivation excludes creatures as constituents of God. A separate capacity principle excludes unlimited divine actuality as a constituent of a bounded creature. On these premises, sustaining presence means present causality rather than spatial proximity. The creature's own exercise then requires another bridge: its received power must genuinely contribute to what occurs. Participation supplies the basis for secondary agency; it does not establish agency by naming it.

The premises behind this answer

Causation and constitution

Uses the source assumptions and constitution bridges already stated in Part I.

Adopt these premises

  1. God presently sustains created actuality, depends on nothing for his actuality, and is unlimited in the respect in which creatures are bounded.
  2. Sustaining causation grounds the effect's actuality in its cause; proper intrinsic constituents ground the actuality of the whole they constitute.
  3. An intrinsic constituent cannot exceed its whole in the relevant capacity for actuality.

Why adopt them?

Producing or sustaining something explains its actuality without making the producer its material. Constitution has a different explanatory direction: the whole possesses its actuality through its constituents. Confusing these directions would turn every cause into a component. The third premise adds a substantive constraint on what a bounded whole can intrinsically contain; it is not a consequence of mere part-whole vocabulary.

What follows if they hold?

Created actuality can be continuously from God while remaining distinct. Constitutive dependence excludes a creature as a part of the underived God; the capacity constraint excludes unlimited God as a constituent of a bounded creature.

What remains to defend. These are conditional consequences of the source profile and two constitution principles, not a demonstration that every cause communicates without division.

02If creatures are from God, in what sense can they genuinely be like God?

They can possess a real perfection whose positive content corresponds to perfection in their source, although its mode of possession differs. But being caused does not, by itself, establish that correspondence. Causation explains where a perfection comes from; likeness requires an additional principle of causal adequacy. The proposal applies that principle to the ultimate source, rather than requiring every instrument to possess the qualities of its effects.

The positive content must be identified independently of effecthood. Exemplarism supplies one account of the bridge: an effect's intelligible formation corresponds to the source's understanding, so the likeness is grounded in what the effect is. The complete finite form need not be copied into God. A melody requires succession; its divine ground need not be a succession of divine notes. This reconstruction makes detached Forms unnecessary to the explanation without proving every alternative ontology false. Objective expression can obtain before an observer recognizes it; recognition and warranted knowledge remain further achievements.

The premises behind this answer

Corresponding perfection in an ultimate cause

Adds causal adequacy to causation and dependence; the source interpretation of each positive perfection must also be defended.

Adopt these premises

  1. Identify the positive content independently of its being caused, and distinguish it from a complete finite-kind description: achieved understanding, for example, differs from the receptive history of learning.
  2. Where the ultimate source fully grounds that positive actuality, the source possesses corresponding perfection actually, under a source-appropriate mode, rather than merely having the ability to produce it.

Why adopt them?

The proposal asks the ultimate explanation to account for what is positively realized, not only the fact that an event occurs. An instrument can transmit a perfection it does not possess in the relevant mode because other actualities explain its operation. An ultimate source cannot defer the whole explanatory burden indefinitely to such instruments. Correspondence permits difference of mode: causing understanding does not require a biological brain or discursive learning in God.

Source-related intelligible formation provides a positive account of the correspondence. On an exemplar account, the source understands the form it gives actuality to; the creature realizes that intelligible form under its own conditions. A causal relation alone does not supply this additional explanatory relation.

What follows if they hold?

A creature can bear an actual, received likeness. Its perfection has an intelligible source without requiring a detached Form between source and creature.

What remains to defend. This is a substantive causal-adequacy commitment, not a theorem of causation alone. Each positive content and its source interpretation still needs defense.

03How can a creature genuinely resemble God without sharing God's mode of being or a common genus?

A perfection can correspond without being possessed in the same way. A creature receives actuality according to its capacity; the adopted divine source receives none of the actuality by which it exists. The finite measure characterizes reception, rather than becoming a limit on the source. Likewise, a finite judgment can be completely true in its stated respect without comprehending God: knowing that God exists does not mean possessing everything God is. Non-exhaustion is compatible with truthful access.

Still, different modes alone do not prove that no common genus exists. The stricter conclusion needs a further account: membership in a natural genus would introduce distinct intrinsic constituting principles, and an absolutely underived source cannot depend on such principles. That account of genus requires independent defense. It concerns natural classification, rather than every shared predicate or intelligible concept. Scotus's univocal concept of being cannot simply be dismissed as a common natural genus.

The premises behind this answer

Natural genus and intrinsic constitution

Adds the natural-genus principle N to the inherited underivation and constitution arguments.

Adopt these premises

  1. Corresponding perfection can be received and bounded in the creature while unreceived and unlimited in God.
  2. If natural genus-membership consists in an intrinsic common kind completed by a distinct intrinsic specific principle, both principles contribute to the member's constitution.
  3. Proper intrinsic constituting principles ground a whole's actuality; God is absolutely underived.

Why adopt them?

A natural genus, on this account, identifies what a thing intrinsically is; its specific determination explains why it is this kind of member. Those contributions are stronger than two descriptions or a shared logical predicate. Treating them as real constituting principles therefore subjects them to the dependence argument. Mere likeness instead compares positive content without supplying a constituent through which God becomes actual.

What follows if they hold?

Likeness remains possible, while God cannot belong to a natural genus constituted in this way. The creature's finite reception measures its own mode rather than setting God's measure.

What remains to defend. The genus analysis is an additional Aristotelian-style commitment. It neither excludes every shared concept nor refutes Scotus's univocal concept of being.

For each answer, the expandable explanation states its premises, reasons to adopt them, positive consequences, and remaining commitments. Follow the links for the derivations, rival accounts, and source qualifications.

SOURCE LEDGER

Evidence has a status.

Primary passages, archived secondary material, and unconsulted scholarly leads are distinct. During the initial research pass, source-domain access was restricted; permitted mirrors enabled the consultation recorded here.

17 entries
Consulted primary

Aristotle, Metaphysics

Hugh Tredennick, Perseus digital XML; selected passages consulted with Bekker milestones.

Causal orders, being not a genus, and actuality-priority supply background; none independently yields Christian creation.

Inspect source / mirror →
Consulted primary

Plotinus, Enneads

Kenneth Sylvan Guthrie, older translation, GITenberg volume I; selected treatises consulted.

V.2.1 and VI.9 clarify nonpartition; V.1.6 supplies modal pressure. Armstrong’s critical edition remains a follow-up.

Inspect source / mirror →
Consulted primary

Gregory of Nyssa, On the Making of Man XVI

Moore / Wilson translation, Standard Ebooks transcription; edition provenance checked.

Likeness in attributes, created–uncreated difference, and creaturely measure are directly verified. Life of Moses remains a separate unconsulted lead.

Inspect source / mirror →
Consulted primary

Dionysius, Divine Names

Calfa / GREgORI academic PG 3 Greek OCR, unproofread; selected clauses consulted.

II.5, V.8, IX.6–7 support nonpartition and recipient-mode. OCR was not collated with a critical edition; exact wording remains provisional.

Inspect source / mirror →
Consulted primary

Maximus, Ambiguum 7

Provisional Greek transcription mirror; source edition undocumented. Selected passage consulted.

The passage distinguishes logoi/preknowledge from created actualization. Reliable Constas-edition verification remains pending.

Inspect source / mirror →
Consulted primary

Plato, Parmenides; Timaeus; Republic

Benjamin Jowett translations, public-domain Gutenberg mirrors. Read selected passages; antiquated translations.

The whole/part dilemma and exemplar language are verified; Greek philology is not supplied by these translations.

Inspect source / mirror →
Consulted primary

Augustine, City of God XI.10

Marcus Dods translation, vol. I; Gutenberg #45304. Selected chapter consulted.

Simple God “is what it has”; received creaturely wisdom is contrasted with divine wisdom. Related q.46 remains a locus lead.

Inspect source / mirror →
Consulted primary

Anselm, Monologion

Latin public-domain scan OCR mirror. Selected chapters consulted; OCR must be checked for quotation.

Chapters 17, 31, and 34 anchor composition-dependence and asymmetric exemplar likeness; no unverified quotation is used.

Inspect source / mirror →
Consulted primary

Aquinas, Summa Theologiae, Prima Pars

English Dominican Fathers, Complete American Edition; Gutenberg #17611. Selected articles consulted.

Causation of necessary beings, primary/secondary causality, divine ideas, analogy, simplicity, and mixed relations verified at article level.

Inspect source / mirror →
Consulted primary

Newman, Essay on the Development of Christian Doctrine

Gutenberg #35110 mirror; chapter V consulted.

The seven notes and their varying independence/applicability were checked. Newman is used analogically, not to certify a doctrine.

Inspect source / mirror →
Consulted primary

John Damascene, On Holy Images

Mary H. Allies, 1898; Gutenberg #49917 mirror. Selected image-type discussion consulted.

Translation has an anachronistic identification in one passage; the dossier records it and restricts constructive use.

Inspect source / mirror →
Consulted archive

Stanford Encyclopedia: archived article-body mirror

Readable SEP prose in philo2vec archive committed by August 2016; headers, bibliography, and individual revision dates absent.

Selected Bonaventure, Henry, Anselm, Dionysius, Eriugena, Cusa and other entries consulted where recorded. This is archival secondary evidence, not a verified current edition.

Inspect source / mirror →
Verification pending

Gregory of Nyssa, Life of Moses

Abraham J. Malherbe and Everett Ferguson, Paulist Press, 1978; II.230–239.

Primary locus and scholarly bibliography supplied in dossier; full reliable translation was not directly consulted in this run.

Open reference / research lead →
Verification pending

Dionysius / Maximus: modern critical translations

Colm Luibheid / Paul Rorem (1987); Nicholas Constas (2014).

Digital primary witnesses and secondary archive prose were read. The reliable modern complete translations remain unconsulted.

Open reference / research lead →
Verification pending

Henry of Ghent; Duns Scotus

Critical scholastic editions and specialist works listed in the dossiers.

Henry archived secondary prose consulted. Primary Henry and Scotus loci are leads, not claims of new primary-text verification.

Open reference / research lead →
Verification pending

Przywara, Analogia Entis; Palamas, Triads

John R. Betz / David Bentley Hart (2014); Nicholas Gendle (1983).

Structural safeguards and bibliography supplied. Full primary works not consulted; no claim that their disputed models are identical.

Open reference / research lead →
Verification pending

Specialist scholarship across the field

Dossiers distinguish consulted archive prose from bibliographic leads: Balás, Rorem, Perl, Blowers, Moran, McGinn, Noone/Houser, Porro/Pickavé, Wippel, Cross and Betz.

A research map rather than a completed critical-edition survey. No bibliography entry is silently treated as a book read.

Open reference / research lead →

Translations and archived mirrors are identified rather than presented as critical editions. Dossiers supply specialist bibliographies and the questions requiring renewed primary verification.