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What Distinguishes the Persons? The Inner Grammar of the Trinity
Anyone who has taught the Trinity to a curious teenager knows the moment the easy answers run out. You explain that Christians worship one God in three persons, Father, Son, and Holy Spirit. The bright student nods, then asks the question that has occupied councils and volumes: “All right—but what is the actual difference between them? If they are all equally God, all eternal, all almighty, all-knowing, all good, with one will and one power between them—then what makes the Father not the Son? What is the Spirit that the other two are not?” This is not the beginner’s question (how can three be one?). It is the advanced one, and it is far sharper. For the more seriously we mean that the three persons are one in essence—truly co-equal, truly co-eternal, sharing every divine attribute without remainder—the more urgent it becomes to say what is left over to distinguish them at all.
Press hard enough and the doctrine seems to face a fork, both prongs fatal. If we cannot name any real difference, the persons collapse into one; Father, Son, and Spirit become three names, three masks, three roles the one God plays—the ancient error called modalism. But if the difference we name is a difference of attribute—the Son a little less eternal, the Spirit a little less in authority, each a distinct center of will and power—then we no longer have one God but three, ranked or unranked; the error called tritheism. The whole art of Trinitarian theology is to find a distinction real enough to escape the first cliff and slight enough to escape the second. The tradition’s answer is not a single clever move but a set of three disciplined rules, developed over centuries, that together do exactly that. This essay walks through them in order: relations of origin, perichoresis, and inseparable operations.
The Rules Behind the Confession
Start with what is being defended. The Niceno-Constantinopolitan Creed confesses the Son as “of one substance with the Father” (homoousios)—the same being, not a similar one—and confesses the Spirit as “the Lord and giver of life” who “with the Father and the Son together is worshipped and glorified.”1 The later Athanasian Creed states the balance the three rules exist to protect: we worship one God in Trinity “neither confounding the persons nor dividing the substance.”2 Confounding the persons is modalism; dividing the substance is tritheism. The rules are the guardrails on that ridge.
It helps to see, before we begin, what kind of thing these rules are. They are not explanations that dissolve the mystery—the tradition is emphatic that the inner life of God exceeds our comprehension. They are, rather, grammatical rules for right speech: precise fences that let the Church say everything Scripture says about Father, Son, and Spirit without contradicting itself. The historian Lewis Ayres has argued that pro-Nicene orthodoxy was exactly this—not a diagram of God but a shared “grammar” of how the divine persons may and may not be described.3 With that in mind, to the first and most important rule.
Rule One: The Persons Differ Only in Their Relations of Origin
Here is the tradition’s precise answer to our teenager’s question. The Father, the Son, and the Spirit are distinguished from one another by nothing except their relations of origin—by who is from whom. The Father is unbegotten, from no one; this is his personal property, paternity. The Son is eternally begotten of the Father; this is filiation. The Spirit eternally proceeds; this is procession, or spiration. Gregory of Nazianzus, in the Theological Orations that helped settle the matter in the 380s, fixed the vocabulary: the distinguishing character of the Father is that he is ingenerate, of the Son that he is begotten, of the Spirit that he proceeds—and these origins, he insisted, name relations, not degrees of divinity.4
The decisive word in the rule is only. In everything that belongs to being God—eternity, power, wisdom, goodness, will, the one undivided essence—the three are utterly identical and fully equal. They differ not as more-God and less-God, not as older and younger, not by holding different attributes, but solely in the relation each bears to the others as its source or its issue. Augustine had already located the distinction here in his On the Trinity: the names Father, Son, and Spirit are said not according to substance but according to relation; nothing in God is greater or lesser, for the three are one substance, and only the relations set them apart.5 Thomas Aquinas drew the sharpest formulation of all. A divine person, he argued, just is a subsistent relation—the relation of paternity or filiation or procession, existing as a hypostasis. The persons are not three things that happen to stand in relations; the relation is the person.6 This is what modern Thomists like Gilles Emery mean when they call the Trinity a communion of “subsistent relations”: the very being of the Son is to-be-from-the-Father, and of the Father to-be-the-source-of-the-Son.7
This answers the advanced question with unusual precision. What distinguishes the Father from the Son is not that one is more divine, or wills something the other does not, or holds an attribute the other lacks—there is no such difference and can be none. It is simply that the Father eternally gives, and the Son eternally receives, the one whole divine life. That is the entire distinction: real—paternity is not filiation, and no theology can make the Father be the Son—yet relational, not a distinction of nature.
The biblical texture of this is dense in John’s Gospel, where Jesus speaks constantly of being from the Father without being less than the Father. “For as the Father has life in himself, so he has granted the Son also to have life in himselfRelation of origin, not subordinationIs sayingThe Son eternally receives the one, whole divine life from the Father—a relation of origin, “true God from true God.” What is granted is self-existence itself, given wholly.Not sayingNot that the Son is later, lesser, or dependent for his deity in a way that makes him less than fully God. Derivation of person is not inequality of essence; the three are co-equal and co-eternal.” (John 5:26). The Son has the very self-existence of God—“life in himself,” the mark of deity—yet has it as granted, eternally received from the Father. Of the Spirit, Jesus says he “proceeds from the Father” (John 15:26). And the pervasive language of sending reflects in time the eternal order of origin: a person can be sent from another only because he is, eternally, from that other. The temporal missions reveal the eternal processions.
Everything now depends on holding one line without wavering: a relation of origin is not an inequality. This is precisely where Arianism went wrong, reasoning that if the Son is begotten he must have had a beginning and so be a creature, secondary and lesser. Nicaea refused the inference: the Son is “begotten, not made,” “God from God, Light from Light, true God from true God.”1 Being from the Father is the Son’s glory, not his demotion; the radiance is exactly as old and exactly as bright as the flame. To confess relations of origin is therefore to say something very strong and very specific: the persons are distinguished by order, never by rank.
Rule Two: The Persons Mutually Indwell One Another (Perichoresis)
Relations of origin secure the real distinction of the persons. By themselves, though, they might still leave a reader picturing three individuals lined up in a sequence—source, begotten, proceeding—like three points on a line. The second rule forbids that picture. The persons do not stand outside one another; each is wholly in the others. The Greek fathers called this perichorēsis; the Latin West rendered it circumincessio (and later circuminsessio): mutual indwelling, coinherence, interpenetration.
The term was given its classic Trinitarian use by John of Damascus in the eighth century, gathering up the earlier tradition. In On the Orthodox Faith he describes the persons as dwelling and abiding in one another, cleaving to each other without being confused, compounded, or mingled—united utterly yet remaining distinct.8 The scholar Verna Harrison has traced how the Greek fathers used the word precisely to hold identity and difference together: the persons coinhere so completely that they are one God, yet the very language of one being in another presupposes that they remain really distinct.9 That is the point. Perichoresis is not a blurring; a thing cannot indwell itself. It takes real distinction for indwelling to mean anything at all.
Jesus states the doctrine in almost so many words: “the Father is in me and I am in the Father” (John 10:38); “Do you not believe that I am in the Father and the Father is in me?” (John 14:10–11). And in his high-priestly prayer he extends the pattern outward as the model of the Church’s own union: “that they may all be one, just as you, Father, are in me, and I in you” (John 17:21). The persons are not three separate beings side by side, cooperating like a good committee. Each is so fully in the others that where one is, all are; to have the Son is to have the Father (John 14:9).
This is the answer to the tritheism worry. What keeps Father, Son, and Spirit from being three Gods? In part, that they do not exist as three bounded centers each in his own place; they eternally coinhere, wholly in one another, one God in virtue of the one undivided essence they wholly share. Perichoresis manifests that unity and forbids any picture of three separate beings; it does not manufacture a oneness out of three that would otherwise stand apart—it expresses, without erasing the distinction it presupposes.
Rule Three: The Persons Work Inseparably in Every Outward Act
The third rule follows the unity out of the inner life of God and into everything God does. The maxim, traceable to Augustine and standard in East and West alike, is opera Trinitatis ad extra indivisa sunt—the outward works of the Trinity are undivided.10 In every act directed outside the Godhead—creating, sustaining, redeeming, sanctifying—the three persons act not as three agents dividing the labor but as the one God, from a single power and will. There are not three creators who each did a third of the work; there is one Creator, Father, Son, and Spirit.
Scripture assumes this at every turn. Creation is the Father’s, yet “all things were made through him” the Word (John 1:3), and the Spirit hovers over the waters (Genesis 1:2). The raising of Christ is credited to the Father (Galatians 1:1), to the Son who lays down his life and takes it up again (John 10:18), and to the Spirit (Romans 8:11). Jesus states the underlying principle about his own works: “the Son can do nothing of his own accord, but only what he sees the Father doing. For whatever the Father does, that the Son does likewise” (John 5:19). That is not the language of an assistant carrying out orders; it is the language of one who shares a single operation with the Father because he shares a single nature.
But then why does Scripture so often assign a particular work to a particular person—creation to the Father, redemption to the Son, sanctification to the Spirit? The tradition’s answer is the doctrine of appropriationAppropriation, not divisionIs sayingA single undivided act of the one God is attributed especially to one person because it fits that person’s relation of origin—so as to reveal the persons to us.Not sayingNot that the Father alone creates, or the Son alone redeems, or the Spirit alone sanctifies. Every outward work is the joint, inseparable act of all three; appropriation divides the naming, never the working.. A work common to all three is appropriated—attributed by special affinity—to the person whose relation of origin it most fits.11 Creation is appropriated to the Father as fountain and source; redemption to the Son who is the Father’s Word and image; sanctification to the Spirit who is given as gift and love. Appropriation reveals the persons in their distinctness without ever dividing the work. The Father does not create while the Son waits; all three create, and creation shows us the Father.
The tradition marks one genuine exception, and marking it correctly matters. Inseparable operation means the three act as one agent; it does not mean the effect is always shared identically. Only the Son became incarnate—the Father and the Spirit did not become man. The classical explanation is that the whole Trinity works the incarnation (the one God unites human nature to himself), but the term of that one act, the person in whom human nature subsists, is proper to the Son alone.12 The undivided act has a personally distinct terminus. This is why we may say the Son suffered on the crossThe Son suffered — in his humanityIs sayingThe incarnate Son truly suffered and died on the cross in the human nature he assumed. Because only the Son became man, the cross is properly his — what he underwent in the flesh can be said of God the Son by virtue of the incarnation.Not sayingNot that the divine nature itself suffered, weakened, or perished (the impassible God does not die), and not that the Father or the Spirit suffered (the ancient error of patripassianism). The one saving work stays undivided; only the assumed humanity is the seat of suffering. while denying that the Father suffered as the Father—without dividing God’s work in redemption. Adonis Vidu, in the most substantial recent study of the doctrine, argues that this account of the incarnation is not an embarrassment to inseparable operations but one of its finest achievements.13
How the Three Rules Thread the Needle
Set the rules side by side and the architecture appears. Relations of origin deliver a real, permanent, three-fold distinction—the Father is not the Son is not the Spirit—and so bar the door against modalism. There are not three masks or three modes of one solitary person; paternity, filiation, and procession are eternal and irreducible. Perichoresis and inseparable operations deliver a real, unbreakable unity—the persons coinhere wholly in one another and act as one God—and so bar the door against tritheism. There are not three Gods, ranked or unranked, dividing power and work between them.
Crucially, the rules are not three separate walls but one interlocking structure. The distinction is only of origin, which is why it never becomes a difference of nature or will that would split God into three; the unity is a unity of persons who genuinely indwell and genuinely differ, which is why it never collapses them into one. Distinction without division; unity without confusion. That is why the classical tradition—in the sharp form given it by Augustine and Aquinas, the “Latin” model whose emphasis some social Trinitarians nuance (as the objections below discuss)—insists the persons are distinguished by relation alone: any other kind of distinction—of degree, of power, of will—would at once become either the tritheist’s three Gods or the Arian’s greater-and-lesser. Relation is the one difference that distinguishes without dividing.
The Strongest Objection, Stated at Full Strength
The sharpest challenge comes from philosophers who press the coherence question the tradition itself raises. The analytic critic Dale Tuggy, a determined and well-read unitarian, argues that the classical answer is not so much mysterious as unintelligible. A relation, he objects, is not the sort of thing that can think, love, speak, or act—yet the persons plainly do all these. To say a person just is a subsistent relation looks like a category mistake dressed in Latin; and if, to escape it, we let the persons be full centers of consciousness and will, we have simply described three gods. Either the distinctions are too thin to be persons (drifting toward modalism) or too thick to be one God (drifting toward tritheism); “subsistent relation,” on this reading, names the problem rather than solving it.14 Richard Cartwright framed the underlying difficulty decades ago: taken as ordinary identity statements, the creed appears to say the Father is God, the Son is God, and the Father is not the Son—formally contradictory unless “is God” means something other than strict identity.15 This is a serious objection, and it deserves its full weight before any reply.
The considered response does not wave the problem away; it locates the equivocation the objection depends on. The rule of relations of origin was framed precisely to deny that “the Father is God” and “the Son is God” assert numerical identity between person and essence in a way that would then make Father and Son identical to each other. The persons are not each identical to the divine essence as one thing is identical to another; they are the one essence subsisting in three relationally distinct ways. Aquinas anticipated Cartwright’s worry: in creatures relation is an accident added to a substance, but in God, who is utterly simple, the relation is the essence—really identical with it, yet really distinct from the opposing relation.6 The move worth slowing down for is this. Paternity and filiation are opposed relations: fatherhood is sheer origin, sonship is sheer being-from, and two opposites of that kind cannot fold into one another—so the Father is genuinely not the Son. Yet neither relation differs from the divine essence, because in a simple God the relation is not a property bolted onto the essence but the one essence itself under a relational description. Put the two halves together and the apparent paradox dissolves: the relations differ from each other without either differing from the essence they each are—the Father is distinct from the Son, but neither is distinct from the Godhead. That is an unusual logic, and the tradition never pretended otherwise; but it is not a contradiction, for the terms it holds together are not affirmed in the same respect. And Tuggy’s dilemma omits the perichoresis rule: the persons act, love, and speak not as three separate minds (that would be tritheism) but in the one undivided operation and the one will that follows from their one nature. The one who thinks, loves, and acts is not a bare relation but the divine essence itself, subsisting as this relationally distinct person—“subsistent relation” names that, not an abstraction doing the acting. One thing must be conceded plainly, and not buried: we possess no positive model that makes the how transparent. The claim is only the more modest one—that no contradiction has been demonstrated, that the rules, taken together and in their proper respects, describe a consistent grammar, even if a mysterious reality.
A further objection runs the opposite way, and comes from within the household of faith. Some theologians in the “social” stream of recent Trinitarian thought—Cornelius Plantinga among them—have worried that the relations-and-simplicity account (the so-called Latin or classical model) makes the persons so thin that it drifts toward modalism, reducing Father, Son, and Spirit to aspects of one divine subject. Apologia Daily does not adjudicate that intramural debate between social and classical Trinitarians; both camps intend full Nicene orthodoxy, and each accuses the other of leaning toward the opposite cliff. What we can say is that the classical answer does not make the persons mere aspects: relations of origin are real and eternal, not roles the one God adopts—which is exactly what rules out modalism. The distinction between paternity and filiation is as old as God and can never be undone.
The Honest Limits
It would betray the tradition to present these rules as though they dispelled the mystery. They do not. They are disciplined rules for speech, not a diagram of the divine interior: they tell us what we may truly say and must not say; they do not let us look. The how of eternal generation—what it is for the Father to communicate the whole divine life to the Son without time, change, or division—remains incomprehensible, and the greatest theologians have said so plainly. The rules protect a mystery; they do not replace it. Anyone who feels, at the end, that he still cannot picture the difference between the persons has understood correctly: the claim is that there is a real distinction of origin to be confessed, not a mechanism to be visualized.
There is also a genuine and ancient disagreement the honest reader should know about, which Apologia Daily reports rather than settles. It concerns the manner of the Spirit’s procession. The creed of 381 confesses the Spirit “who proceeds from the Father.” The Latin West later added the word Filioque—“and the Son”—confessing that the Spirit proceeds from the Father and the Son; the Christian East retained the original wording and objected to the addition, both to the change itself and to the theology it was thought to imply.16 This East–West difference concerns the ordering of the Spirit’s relation of origin, and it is not ours to adjudicate here; faithful Christians on both sides have confessed it for a millennium. What both traditions hold in common, and what this essay affirms without reservation, is the full, co-equal, co-eternal deity of the Holy Spirit—true God with the Father and the Son, worshipped and glorified together with them. The disagreement is about the grammar of procession, never about whether the Spirit is God.
Conclusion: What the Grammar Does, and the Love It Guards
So, at last, what is the actual difference between the Father, the Son, and the Spirit? Nothing in nature, power, will, eternity, or worth—in all of that they are one and equal. The difference is one of relation and origin alone: the Father unbegotten, the Son eternally begotten, the Spirit eternally proceeding, each wholly indwelling the others, all working every work as one God. That is the whole answer, and its precision is its point. It says just enough to make the persons genuinely distinct (against modalism) and not one syllable more that would make them genuinely separate (against tritheism).
What the three rules do not do is dispel the mystery or hand anyone a proof that would compel a skeptic; they are the confession of those who already worship the triune God, spelling out how that worship holds together without contradiction. But what they guard is worth every centuries-long labor that went into them. If the persons are distinguished by relation, then relation goes all the way down into the being of God: God is not first a solitary self who later decides to relate, but eternally Father, Son, and Spirit—giving, receiving, indwelling, in a communion with no beginning. “God is love” (1 John 4:8), the apostle writes; and the doctrine of the persons is what lets us mean it strictly. Love requires a lover, a beloved, and the love between them. Because God is triune, that has always been true—before the world, before there was anything else to love, the Father was loving the Son in the Spirit.17 The grammar of the persons is finally a grammar of that eternal love, into which, the gospel says, we are being drawn.
Footnotes
- The Niceno-Constantinopolitan Creed (325, expanded 381): the Son is “begotten, not made, being of one substance (homoousios) with the Father”; the Spirit is “the Lord and giver of life, who proceeds from the Father, who with the Father and the Son together is worshipped and glorified.” English text in Philip Schaff, The Creeds of Christendom, vol. 2 (New York: Harper, 1877), 57–58, archive.org.
- The Athanasian Creed (Quicunque vult), lines 3–4: “we worship one God in Trinity, and Trinity in Unity; neither confounding the persons, nor dividing the substance.” Text in Schaff, Creeds of Christendom, 2:66–70. The creed is Western and later (c. 5th–6th century), not by Athanasius, but is a classic summary of Nicene Trinitarianism.
- Lewis Ayres, Nicaea and Its Legacy: An Approach to Fourth-Century Trinitarian Theology (Oxford: Oxford University Press, 2004), esp. the argument that pro-Nicene theology is best understood as a shared “grammar” or culture of speech about God rather than a single system.
- Gregory of Nazianzus, Theological Orations (Orations 29–31, delivered 380). On the persons’ distinguishing properties—the Father’s ingeneracy, the Son’s generation, the Spirit’s procession—and that these are relations of origin rather than degrees of divinity, see Oration 29.16 and Oration 31.8–9. English translation in Nicene and Post-Nicene Fathers, 2nd series, vol. 7, newadvent.org. (Paraphrased here in the author’s words, not quoted verbatim.)
- Augustine of Hippo, On the Trinity (De Trinitate), Book V, chs. 5–6: what is said of the persons as Father, Son, and Spirit is said “not according to substance, but according to relation,” and in God nothing is greater or lesser. English translation in Nicene and Post-Nicene Fathers, 1st series, vol. 3, newadvent.org.
- Thomas Aquinas, Summa Theologiae Ia, qq. 28–29: relation in God is really identical with the divine essence yet really distinct from its opposed relation (q. 28, a. 2–3); “a divine person signifies a relation as subsisting” (q. 29, a. 4). English text at newadvent.org.
- Gilles Emery, The Trinity: An Introduction to Catholic Doctrine on the Triune God, trans. Matthew Levering (Washington, DC: The Catholic University of America Press, 2011); and Emery, The Trinitarian Theology of Saint Thomas Aquinas, trans. Francesca Aran Murphy (Oxford: Oxford University Press, 2007), on the persons as subsistent relations.
- John of Damascus, An Exact Exposition of the Orthodox Faith (De fide orthodoxa), Book I, chs. 8 and 14, on the perichoresis (mutual indwelling) of the persons, who dwell in one another without confusion, coalescence, or mingling. English translation in Nicene and Post-Nicene Fathers, 2nd series, vol. 9, newadvent.org. (Summarized in the author’s words.)
- Verna E. F. Harrison, “Perichoresis in the Greek Fathers,” St Vladimir’s Theological Quarterly 35, no. 1 (1991): 53–65, tracing the term’s use to hold together the persons’ unity and their real distinction.
- The maxim opera Trinitatis ad extra indivisa sunt (“the outward works of the Trinity are undivided”) crystallizes a principle developed by Augustine, On the Trinity, Books I–II, that Father, Son, and Spirit, being inseparable, work inseparably. On its patristic roots and standing in East and West see Adonis Vidu, The Same God Who Works All Things: Inseparable Operations in Trinitarian Theology (Grand Rapids: Eerdmans, 2021).
- On the doctrine of appropriation—attributing a common work especially to one person by affinity with that person’s property—see Thomas Aquinas, Summa Theologiae Ia, q. 39, aa. 7–8; and Emery, The Trinity: An Introduction, ch. 8.
- On the incarnation as the undivided act of the whole Trinity terminating in the person of the Son alone, see Augustine, On the Trinity, Book II; Aquinas, Summa Theologiae IIIa, q. 3, aa. 1–4; and the discussion in the Journal of Analytic Theology: Adonis Vidu, “Trinitarian Inseparable Operations and the Incarnation,” JAT 4 (2016): 106–127, jat-ojs-baylor.tdl.org.
- Vidu, The Same God Who Works All Things (2021), which argues that inseparable operations, rightly understood, both preserves divine unity and gives a coherent account of the incarnation and the distinct personal missions.
- Dale Tuggy, “Trinity,” Stanford Encyclopedia of Philosophy (rev. ed.), plato.stanford.edu; and Tuggy, “On Positive Mysterianism,” International Journal for Philosophy of Religion 69 (2011): 205–226. Tuggy, a unitarian, presses the charge that the classical distinctions are either too thin to yield real persons or too thick to yield one God.
- Richard Cartwright, “On the Logical Problem of the Trinity,” in Philosophical Essays (Cambridge, MA: MIT Press, 1987), 187–200, setting out the apparent formal inconsistency of the creedal statements read as identity claims.
- On the Filioque—the Western addition “and the Son” to the creed’s statement of the Spirit’s procession, its history, and the East’s objection—see A. Edward Siecienski, The Filioque: History of a Doctrinal Controversy (Oxford: Oxford University Press, 2010). Both East and West confess the full, co-equal deity of the Holy Spirit; Apologia Daily reports this difference without adjudicating it.
- Fred Sanders, The Deep Things of God: How the Trinity Changes Everything, 2nd ed. (Wheaton: Crossway, 2017), on the eternal, prevenient love of the triune God as the ground of “God is love” (1 John 4:8).
Bibliography & further reading
- Augustine of Hippo. On the Trinity. In Nicene and Post-Nicene Fathers, 1st series, vol. 3. newadvent.org.
- Ayres, Lewis. Nicaea and Its Legacy: An Approach to Fourth-Century Trinitarian Theology. Oxford: Oxford University Press, 2004. (OUP)
- Emery, Gilles. The Trinity: An Introduction to Catholic Doctrine on the Triune God. Translated by Matthew Levering. Washington, DC: The Catholic University of America Press, 2011.
- Emery, Gilles. The Trinitarian Theology of Saint Thomas Aquinas. Translated by Francesca Aran Murphy. Oxford: Oxford University Press, 2007.
- Gregory of Nazianzus. The Theological Orations (Orations 27–31). In Nicene and Post-Nicene Fathers, 2nd series, vol. 7. newadvent.org.
- Harrison, Verna E. F. “Perichoresis in the Greek Fathers.” St Vladimir’s Theological Quarterly 35, no. 1 (1991): 53–65.
- John of Damascus. An Exact Exposition of the Orthodox Faith. In Nicene and Post-Nicene Fathers, 2nd series, vol. 9. newadvent.org.
- Sanders, Fred. The Deep Things of God: How the Trinity Changes Everything. 2nd ed. Wheaton: Crossway, 2017. (Crossway)
- Siecienski, A. Edward. The Filioque: History of a Doctrinal Controversy. Oxford: Oxford University Press, 2010. (OUP)
- Thomas Aquinas. Summa Theologiae, Ia, qq. 27–43. newadvent.org.
- Tuggy, Dale. “Trinity.” Stanford Encyclopedia of Philosophy. plato.stanford.edu.
- Vidu, Adonis. The Same God Who Works All Things: Inseparable Operations in Trinitarian Theology. Grand Rapids: Eerdmans, 2021. (Eerdmans)
Frequently asked questions
If the persons are equal in everything, what is the actual difference between them?
Their relations of origin, and nothing else. The Father is unbegotten (from no one); the Son is eternally begotten of the Father; the Spirit eternally proceeds. In every divine attribute — eternity, power, wisdom, goodness, will, the one being — the three are identical and equal. They differ solely in who is from whom. That is a real distinction but a relational one, not a difference of nature, degree, or authority.
What is perichoresis?
Perichoresis (Latin circumincessio) is the mutual indwelling of the divine persons: each is wholly in the others, without confusion or mingling. Jesus states it — "I am in the Father and the Father is in me" (John 14:10–11). Named for the Trinity by John of Damascus, it secures the unity of God — the persons are not three separate beings side by side — without collapsing their distinction, since a thing cannot indwell itself.
Do the three persons each do different things — Father creates, Son redeems, Spirit sanctifies?
No — every outward work of God is the undivided act of all three persons together (opera Trinitatis ad extra indivisa sunt). Scripture "appropriates" a work to one person — creation to the Father, redemption to the Son, sanctification to the Spirit — to reveal the persons, not to divide the labor. The one marked exception: only the Son became incarnate, since the whole Trinity's act of incarnation terminates in the Son's person alone.
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