(●)Two philosophical repairs of the Trinity, relative identity and constitution, are neither needed nor sound.
+When a critic says the doctrine of the Trinity contradicts itself, two rescues are usually on the table. One rebuilds the logic of identity, so that being the same God and being the same person can come apart. The other keeps ordinary logic and reworks the metaphysics instead, on the pattern of a single lump of matter that is at the same time two different things.
Neither is needed and neither works, for one reason: the contradiction they were built to remove was never in the doctrine. What is still owed is an account of what the one God is, such that he is three persons, and that is work for a model rather than for a mended logic.
Who holds what, on the two repairs:
- Support: Peter van Inwagen, who gives relative identity its leading trinitarian defense, on a logic P. T. Geach began in 1962; and Jeffrey Brower with Michael Rea, who built the constitution model out of Aristotle's analysis of matter and form.
- Oppose: William Lane Craig, who argues that neither repair is needed and neither works.
The argument that follows refutes both.
(P1)The New Testament calls a person God to ascribe deity, not to assert identity.
+Three short sentences are supposed to sink the doctrine: the Father is God, the Son is God, the Father is not the Son. Both repairs begin by reading the first two as equations, and that is where they go wrong.
(1) The word "is" does more than one job.
- Sometimes it announces that two names have landed on one thing. "Mark Twain is Samuel Clemens" tells you there was one man wearing two labels. Philosophers call that the is of identity.
- Sometimes it does something quieter. "Jones is tall" hands Jones no second name; it tells you what he is like. Say the same of Smith and you have not turned Jones into Smith, only said that two men are tall. That is the is of predication: attributing something to a subject.
- None of this is a technicality invented for the dispute. "Peter is human" and "John is human" are both true, and in two thousand years nobody has concluded that Peter is John. If "is God" works the way "is human" works, the first two sentences collide with nothing at all.
(2) The New Testament sentences behave like predications, not like equations.
- Start with the fact that identity runs in both directions. If Twain is Clemens then Clemens is Twain, and either sentence does the job. Now notice what the New Testament writers do. They say readily that the Son is God, and not one of them turns it around to write that God is the Son, which an equation would have made just as easy.
- Then there is John, who calls the Father "the only true God" (John 17:3) and Jesus "the true God" (1 John 5:20). Read those as equations and they contradict each other outright, and the man who wrote both apparently noticed nothing.
• Commentators divide over whether "the true God" in 1 John 5:20 points to Jesus or back to the Father, and the point survives either way. On the first reading two equations sit side by side and nobody blushes; on the second, the writer never wrote it at all.
- Identity is also transitive, the rule everyone met in school algebra: if a equals b and b equals c, then a equals c. So if the first two sentences are equations, the Father is the Son, in exactly one step. No writer in the New Testament takes that step, or shows the faintest sign of noticing it was available.
• Silence proves little when the occasion to speak is rare. This one was not: several writers, two generations of letters and Gospels, and a relation between Father and Son that comes up on nearly every page.
(3) Modern identity is a tool the apostles never had.
- Identity as philosophers handle it now, with formal rules about what may be swapped in for what without changing a sentence's truth, belongs to modern logic. Paul and John did not have it, and cannot be held to consequences they had no way of drawing.
- Think of it this way. Nobody reads a medieval land grant as though it were drafted under modern contract law, then convicts the drafter of an error he had no way to commit. Importing the tool and charging the writer with what it implies is a reading mistake, not a discovery.
- What follows is modest. The three sentences generate no contradiction, and they do not say what makes God one, a question still waiting (P5).
Therefore, the collision both repairs exist to prevent was never in the sentences they protect.
(P2)Identity is absolute, never relative to a kind.
+The first repair keeps the identity reading and changes what identity is, so that two things can be the same God without being the same person.
(1) Relative identity says that sameness is never a complete thought.
- On this proposal you may never simply ask whether one thing is the same as another. You have to ask "the same what?", and the answer may change with the question: one for one sort of thing, two for another, and neither answer overrules the other. That is relative identity.
• Philosophers write it with letters standing in for sorts of thing, the way x stands in for a number in algebra: two things may be "the same F" and yet "different Gs." Fill in the letters and it takes shapes like this: these are the same lump of clay, but not the same statue.
- Applied to the doctrine it gives a clean-looking result. The Father and the Son are the same God and different persons, with no contradiction, because "same" was never doing the single absolute job the objection assumed.
- This is no dodge. It comes from philosophers of the first rank, it has a full formal treatment, and it was applied to the doctrine out of loyalty rather than impatience. It has earned a real answer.
(2) Every ordinary example of the relation turns out to be something else.
- Take the first example usually offered. "The couch is the same color as the chair." That is no identity statement, and you can see as much by walking into the room: two pieces of furniture sharing one property, and nobody in the history of living rooms has counted one chair.
- The other stock case is the Lord Mayor, said to be the same person as the schoolboy Johnny though not the same official. Take the tenses seriously and the puzzle evaporates. One man was a schoolboy and is now the Lord Mayor. The office changed. The man did not.
- Its leading defender grants the pattern: outside the doctrine of the Trinity there is no agreed example where sameness of this kind resists an ordinary explanation. Of course something can be real and still be rare. But before the textbook is rewritten around a disease with exactly one patient, you would want it to turn up somewhere else.
(3) Things that differ in any way at all are two things.
- Two things count as one only if everything true of the one is true of the other: same weight, same history, same debts, same handwriting. Where something is true of one and not the other, philosophers call the two discernible, a formal way of saying you can tell them apart.
- Hold the proposal against that. If the Father is the same God as the Son but a different person, something is true of the Father and not of the Son. They differ. And things that differ are two, whatever sort you count them under.
- One reply is left, and it is expensive. Perhaps the difference is itself only relative to a sort. Take that road and the persons stop really differing, and real distinctness is the one thing the doctrine cannot give up.
- Think of it this way. One car cannot be the same car as another and yet a different vehicle. Different plates mean two cars, and re-sorting the paperwork will not fuse them into one machine in the driveway.
Therefore, sameness does not vary with the kind of thing being counted, and the first repair has nothing to repair with.
(P3)The divine essence is not a material the three persons are made of.
+The second repair leaves logic alone and works on the metaphysics instead, the question of what sorts of things there are and how they are put together. Its model is a block of marble.
(1) One block of stone can be a statue and a column at once.
- Picture the porch of a Greek temple where the roof rests not on plain columns but on carved women, each figure holding up her share of the stonework. Each figure is a statue. Each figure is also a column. One block, and two things truly said of it.
- Philosophers call this the problem of material constitution, meaning the puzzle of how a thing and the stuff it is made of can be one object and two at the same time. The statue and the column differ in what they could survive. Reshape the marble and the statue is gone, while a column may still be standing.
- The proposal carries all of that over to God, and its name says what it is after. Numerical sameness without identity means counting as one without being identical.
- In the transfer, the divine essence, meaning what God is, the one nature all three persons share, takes the place of the marble. Whatever makes each person that particular person takes the place of the carving. The three then come out as one God the way the statue and the column come out as one object.
• The technical name for that pairing is hylomorphic, from the Greek words for matter and shape: any account that treats a thing as material organized by a form. The classroom case is a bronze bell, bronze for the matter and bell-shape for the form.
(2) In the analogy, what makes the two count as one is shared stuff.
- Ask why anyone says there is one object on that porch, and the answer comes back embarrassingly physical. There is one hunk of marble standing there and you could put it on a scale. Take the marble away and the reason for counting one goes with it.
- Now move the model to God. The divine essence quietly becomes a kind of material, an immaterial stuff the persons are made out of and are one by sharing. An immaterial thing makes perfectly good sense, and Christians have always believed in one. An immaterial quantity, portioned out three ways, is a phrase still looking for a meaning.
- When the church at Nicaea said the Son is homoousios with the Father, "of one substance," the point was that the two are one being, sharing one and the same nature. It was not saying that God is a spiritual material served in three helpings.
(3) The defenders of Nicaea refused the material reading of their own word.
- The charge is not new, as it happens. Athanasius and Basil both report an earlier round of it. Paul of Samosata, condemned at Antioch some sixty years before Nicaea, argued that calling the Son homoousios with the Father made the divine being a stuff parceled out among them.
- Basil rejected the charge with heat (Epistle 52.1), and Athanasius said that the whole trick of Paul's argument lay in taking the word in a bodily sense (De synodis 45).
- The direction the analogy pulls is the direction those men refused to go, and they refused because they judged a divided divine substance the one thing that would sink the doctrine.
Therefore, whatever makes the three persons one God, it is not a quantity of divine material they are all made of.
(P4)Each divine person has a first-person perspective no other can occupy.
+The constitution model draws its force from a statue and a column being alike in everything that shows. In one respect the three persons cannot be alike.
(1) Some knowledge cannot be had from the outside.
- A man is pushing his cart through a supermarket when he notices a trail of spilled sugar down the aisle. Somebody has a torn bag. He follows the trail, meaning to catch the man and tell him, and it goes on: round the end of the aisle, past the freezers, round again. Then he looks into his own cart and understands that the shopper he has been chasing is himself.
- Nothing new arrived on the list of facts about the man with the torn bag. He could have recited every one and come no closer to what he learned in the second he looked into his cart.
- Philosophers call this the essential indexical: knowledge carried by words like "I," "here," and "now," which no description can replace however complete. My knowledge that I am the one making the mess is mine, and nobody else can have it.
(2) The Father knows that the Son dies on the cross, not that he himself does.
- Read that slowly, because it is easy to hear as a limit on God's knowledge and it is not one. To be omniscient, to know everything there is to know, is to know every truth, and "I am dying on the cross" was never a truth about the Father. There is nothing for him to fail to know.
- What the sentence marks is a standpoint rather than a gap. There are three of them in God: three first-person perspectives that no description replaces and no one else can occupy.
- None of this is speculation laid on top of the Gospels. It is what the Gospels show. The Son prays in Gethsemane and the Father does not. The Son is sent and the Father sends. The Son cries out to a Father who has not himself been forsaken (Mark 15:34).
(3) Mutual indwelling does not dissolve the difference.
- The tradition has a word for how close the three are. Perichoresis means the mutual indwelling of the persons: complete harmony of will and action, mutual love, and full knowledge of one another.
- Take that at its very highest and the standpoints are still three, because perfect knowledge of another person is still knowledge of another person. A husband who knows his wife better than she knows herself has never had her toothache.
(4) One block of marble cannot be three different figures.
- Go back to the porch. The model persuades because the statue and the column share every property that shows: same weight, same chips along the base, same color in the same light. They differ only in what each could survive.
- The persons are not alike in that way, and not remotely. The Son became incarnate, taking on a human life, and the Father did not. The Son was crucified and the Father was not. Those are differences not in what each could survive but in what is true of each.
- One block might be a statue and a column at once. It cannot be the Winged Victory and the David and the Venus de Milo. Three genuinely different figures take three blocks, and a model that makes the persons that different has delivered three of something rather than one.
Therefore, three exclusive standpoints stand within God, and no model that unifies by shared qualities can hold them together.
(C1)Therefore, the Trinity needs neither relative identity nor numerical sameness without identity.
+Neither repair is needed, and the reason is simple: the contradiction they were built to fix was never in the doctrine to begin with. The four premises behind that verdict work like the links of a chain, and if every link holds the conclusion cannot slip out.
(1) What makes the repairs look necessary is a reading the text does not require.
- Both start from the same thought, that "the Father is God" and "the Son is God" put two names on one thing. From there each goes looking for a logic, or a metaphysics, in which two such sentences can stand quietly beside "the Father is not the Son."
- Grant that starting thought and the repairs become more than understandable. They become urgent. Decline it, which is where the writers' own usage points (P1), and the urgency drains out of both.
- One question does survive, and it is a fair one. If no one person is the whole of God, what makes God one? A rule for counting is simply the wrong shape of answer to a question like that (P5).
(2) Neither repair survives inspection on its own terms.
- Relative identity has no agreed instance anywhere outside the doctrine it was built to protect, and it runs aground on the plainest fact there is about identity, that things which differ are two (P2).
- Numerical sameness without identity turns the divine essence into a spiritual material, exactly the reading the defenders of Nicaea refused (P3). And it draws its plausibility from two carvings alike in everything that shows, while each person holds a standpoint the others cannot occupy (P4).
(3) Declining a repair is not declining the doctrine.
- Take the machinery away and everything the creeds require is still standing: one God, three persons, each person fully God, the three genuinely distinct and not three Gods.
- Machinery is not doctrine. A doctrine is a claim about God; machinery is a proposal about how to talk about him. Pulling down the scaffolding a builder put up does not pull down the wall he raised behind it.
(4) The philosophers behind both proposals deserve better than dismissal.
- Both came from believers doing hard technical work in defense of a doctrine they hold, and both have left the discussion sharper than they found it. The objection is to the machinery and never to the motive.
- The two failures also share one diagnosis. Each tries to secure the oneness of God by adjusting a relation among the persons (P5).
(5) Each premise has one bar to clear.
- The bar is not certainty, which is just as well, since almost nothing in metaphysics clears that one. A premise earns its place by being more plausible than its denial, and that is the whole of what (P1 through P4) have to manage.
- So weigh the denials for yourself. Is it likelier that the New Testament writers were writing equations and never noticed the contradiction sitting in front of them? That two things can differ and still be one? That God is a quantity of spiritual material? That the Father, from the inside, is the one dying on the cross? Every one of those has to be the better bet before the conclusion fails.
Therefore, the doctrine can be stated, and defended against the charge of contradiction, in the ordinary logic everybody already uses.
(P5)The oneness of God is something God is, not a way of counting.
+Both repairs locate the unity of God in a relation among the persons. Monotheism was never a claim about a relation.
(1) A relation among three things presupposes three things.
- Relative identity has the persons standing in a sameness relation tagged to a sort of thing. Constitution has them standing in a sharing relation to one essence. Either way the unity is something holding between the persons rather than something true of God.
- Set that beside the Shema, the confession Israel was told to repeat at home and on the road, lying down and rising up. "The LORD our God, the LORD is one" (Deuteronomy 6:4-7) is not advice about how to count correctly. It is a claim about who exists, made against neighbors who had many gods, and it would have been just as false if the many had been cleverly re-sorted into one.
- Paul picks up that same confession and puts Jesus inside it: for us there is one God, the Father, and one Lord, Jesus Christ (1 Corinthians 8:6). He is not proposing a better way of counting. He is saying who is there.
- Think of it this way. A fleet is not a ship. However tightly you specify the relations among three vessels, and however faithfully they hold formation across the Atlantic, what is out there on the water is three hulls.
(2) A doctrine should not be pinned to the outcome of an unsettled puzzle.
- Whether a statue and its marble are one thing or two is still argued over, and one line of attack on the constitution model is worth watching. Walk into a gallery holding three statues and count the material objects in the room. Three, obviously. And not three by luck, the way there happen to be three chairs around a kitchen table. It is hard to see how three statues could ever have added up to two objects.
- That is where the pressure comes from. If one object per statue is not a happy accident about our world but something that could not have been otherwise, then "two individuals, one material object" is not merely false. It is impossible, and the constitution model needs it to be possible.
- Nothing about the Trinity turns on how that quarrel comes out, and nothing about it should. Tying the doctrine to one solution makes it hostage to an argument in general metaphysics that has nothing to do with God.
- You would not want the deed to your house to depend on how a boundary dispute two streets over gets settled.
(3) What the one God is remains to be said.
- Declining the two repairs answers the charge of contradiction, and that is all it does. It does not say what the one God is, such that there are three persons each fully God.
- That calls for a positive account rather than a device, and there are serious ones on offer. One holds that the Trinity as a whole is the single instance of the divine nature, so that the persons are divine without each one being a God. Another holds that God is one spiritual substance bearing three complete sets of rational faculties: a single soul with three centers of self-consciousness.
- Neither is settled and neither is quick. What matters is the shape of the answer. It has to be a description of what God is, rather than an adjustment to the rules for counting him.
Therefore, whatever secures the oneness of God, it is a fact about the being that God is.
(C2)Therefore, the doctrine needs a model of God, not a repaired logic.
+The work still owed is not a repair to the logic. It is a description of God: an account of what the one God is, such that he is three persons.
(1) Only the second of the two questions is still open.
- The first question is whether the doctrine contradicts itself. It does not, because the sentences that were supposed to contradict each other were never equations (P1).
- The second question is what the one God is, that he should be three persons. That one is open, and it is the good kind of open, the kind with candidate answers on the table and real arguments running between them.
- Both proposals tried to answer the second question with a repair to the first, and that is why neither delivered what it promised.
(2) Nothing new has to be invented.
- No new logic is required, and no spiritual material is required. The ordinary meaning of "is," the ordinary rules of identity, and the ordinary way of counting beings all stay exactly where they were.
- What Christians confess is what they have always confessed, and it goes into a sentence a child can repeat at the kitchen table: there is one God, the Father and the Son and the Holy Spirit are each fully God, and they are not each other.
(3) A model of the Trinity is still owed.
- That debt is better stated than hidden. Every serious model on offer pays a price somewhere, and pretending otherwise would be its own kind of dishonesty.
- What can be said without hedging is narrower, and it is still worth a great deal. The charge that the doctrine is incoherent has not been made out, and it took no new logic to say so.
Therefore, the work ahead is to describe the God who is one and three, and that work can go forward in the same logic everything else in the world is described in.
On the doctrine and its models:
Craig, William Lane. Systematic Philosophical Theology: On God: Excursus on Natural Theology, On the Trinity, vol. IIb. Hoboken: Wiley-Blackwell, 2026.
Hasker, William. Metaphysics and the Tri-Personal God. Oxford: Oxford University Press, 2013.
McCall, Thomas, and Michael C. Rea, eds. Philosophical and Theological Essays on the Trinity. Oxford: Oxford University Press, 2009.
Moreland, J. P., and William Lane Craig. Philosophical Foundations for a Christian Worldview. 2nd ed. Downers Grove: IVP Academic, 2017.
On relative identity and material constitution:
Brower, Jeffrey E., and Michael C. Rea. "Material Constitution and the Trinity." Faith and Philosophy 22, no. 1 (2005): 57-76.
Geach, P. T. Reference and Generality: An Examination of Some Medieval and Modern Theories. Ithaca: Cornell University Press, 1962.
Hughes, Christopher. On a Complex Theory of a Simple God. Ithaca: Cornell University Press, 1989.
Perry, John. "The Problem of the Essential Indexical." Nous 13, no. 1 (1979): 3-21.
van Inwagen, Peter. "And Yet They Are Not Three Gods But One God." In McCall and Rea, Philosophical and Theological Essays on the Trinity, 217-248.
Critic sources engaged:
Leftow, Brian. "Anti Social Trinitarianism." In The Trinity: An Interdisciplinary Symposium on the Trinity, edited by Stephen T. Davis, Daniel Kendall, and Gerald O'Collins. Oxford: Oxford University Press, 1999.
Tuggy, Dale. "Trinity." In The Stanford Encyclopedia of Philosophy.
Ancient sources:
The Athanasian Creed.
Athanasius, De synodis 45.
Athanasius, Tomus ad Antiochenos.
Augustine, On the Trinity 5.
Basil of Caesarea, Epistle 52.1.
The Creed of Nicaea (325).
Eleventh Council of Toledo (675).
Fourth Lateran Council (1215), Firmiter credimus.
Gregory of Nyssa, On Not Three Gods.
Hilary of Poitiers, On the Trinity 7.2, 7.13, 7.32.
Tertullian, Against Praxeas 5, 9, 11, 22.
Biblical citations:
Deuteronomy 6:4-7; Mark 15:34; John 10:30; 17:3; 20:28; 1 Corinthians 8:6; 1 John 5:20.
+Without a device like relative identity or constitution, "one God" floats free. If no person is identical to God, and the persons are not identical to each other, monotheism has lost its subject.
1. The question has no cheap answer.
This is the strongest objection there is to declining the two repairs, and it is pressed in good faith by people who want the doctrine to be true. Something has to make God one. If "the Father is God" is a predication rather than an equation, then the sentence tells you the Father is fully divine and it tells you nothing whatever about where the oneness lives. That gap is real and it should not be papered over.
Grant, too, that both repairs were built precisely to close it. Neither was invented to be clever. Each is an attempt to say something definite about how three can be one, and an attempt is more respectable than a shrug.
2. A device is not an answer to the question.
Each repair supplies a rule rather than a description.
- Relative identity supplies a rule for counting.
- Constitution supplies a rule for when two things count as one object.
Neither one says what God is. So neither answers the question so much as arranges for it not to be asked, and that is the trouble with both of them. Monotheism is a claim about what exists, not a convention about arithmetic. Israel's neighbors were not wrong about how to count. They were wrong about what was out there.
3. What is owed is a model.
Two directions are being actively developed by philosophers who hold the doctrine:
- The Trinity as a whole is the one instance of the divine nature, so that there is exactly one God, and each person is fully divine without being one more God. Being triune belongs to the divine nature, and no single person is triune.
- God as one spiritual substance carrying three complete sets of rational faculties, a single soul with three centers of self-consciousness, so that the three are three selves and not three beings.
Both are contested, and both cost something. Neither should be sold as finished work.
4. Declining the repairs does not leave the question in worse shape.
If anything it clears the way. Both repairs work by loosening the very notions, identity and unity, that a positive account has to use, and answering "what is the one God?" is hard enough without first agreeing that "same" and "one" mean something unfamiliar.
The order that works is the ordinary one. Show that no contradiction has been derived, then say what God is. Reversing those two is what produced the machinery in the first place.
See also:
PT / The Trinity: The Logical Problem of the TrinityPT / The Trinity: One God in Three PersonsPT / The Trinity: Trinity MonotheismPT / The Trinity: Tripersonal Monotheism
+Relative identity is a serious position with a fully worked-out formal logic behind it. Complaining that it has no examples outside theology is not a refutation, and rejecting it because identity "must be absolute" simply assumes the point in dispute.
1. The complaint is not that it has only one instance.
Plenty of true claims have exactly one instance. There is one universe, and nobody thinks cosmology is rigged for that reason.
The complaint is narrower and harder. There is no independent evidence that anything at all stands in this relation. Every candidate offered outside the doctrine has turned out to be an ordinary claim in disguise, either two things sharing one property rather than being identical, or one thing changing over time with the tense left out. Its best-known defender concedes as much.
The nearest thing to a live case is the statue and the marble, and it does not help either, because the philosophers who take that puzzle most seriously handle it without relativizing identity at all. What they propose is the second repair, not the first. So what is left is a relation whose only application is the case it was proposed to save. That does not make it false. It means the proposal arrives with nothing behind it.
2. The case against it runs from inside the proposal.
To beg the question is to assume the very thing you are supposed to be proving, and disputes about which logic is correct are notoriously hard to conduct without doing it, since every argument has to be run in some logic or other. Anyone who has watched philosophers argue over the law of excluded middle, the rule that every statement is either true or false with no third option, knows the shape of the trouble. Waving the challenge away would be cheap, so the case here starts from the proposal's own claim rather than from classical logic.
Take that claim: two things can be the same F and different Gs. Now notice what it already contains. A description true of the one is not true of the other, or the two would not be different Gs at all. That is discernibility, and discernibility is not a special doctrine of classical logic. It is what the word "different" means in any logic worth having. Things that differ are two.
One reply remains, and it costs more than it saves. Perhaps the two do not really differ, but differ only relative to a sort. That cannot serve as its own evidence, since it is the very claim under examination, and it gives away the thing the doctrine most needs. If the persons do not really differ, the doctrine has traded a charge of contradiction for a charge of modalism, the view that Father, Son and Spirit are three masks worn by one person. That is the worse trade.
3. Burdens fall where the revision is proposed.
Everyone counting a room full of chairs is using absolute identity, and so is every scientific result, every legal judgment, and every grocery list. That does not put it beyond question. It does mean that a proposal to revise it needs a motive.
The motive on offer was the identity reading of "the Father is God" and "the Son is God." The text does not require that reading (P1). Remove the motive and what is left is a revision to the world's most heavily used relation, undertaken to solve a problem that was not there.
4. The claim is about the world, not about formal systems.
No charge of inconsistency is being laid against the formal systems, and nothing turns on what can be modeled on paper. Formal systems can be built for all sorts of relations. The question is whether anything in the world actually stands in this one, and whether God does.
5. Its warmest readers reach the same verdict from inside.
Michael Rea, who helped devise the constitution model and has done as much technical work in this area as anyone, laid out the dilemma. Relative identity comes in two forms:
- The pure form throws out absolute identity altogether. Rea called that result catastrophic, because it presupposes an anti-realist metaphysics: a world in which things have no features of their own apart from how we happen to describe them.
- The impure form keeps absolute identity and sets sort-relative sameness beside it. That version leaves the doctrine necessarily incomplete, because the one thing it never says is what it is for the Father to be the same God as the Son.
This is not a hostile summary imported from outside the discussion. It is what the specialists say when they take the proposal seriously enough to press it.
None of that impugns the philosophers behind it. Relative identity did not begin in theology. Peter Geach argued for it in the 1960s on general grounds about how counting words like "man" and "river" behave, and Peter van Inwagen later built the Trinitarian application, as a Christian trying to make the doctrine defensible. He has been more honest about the account's limits than most of its critics have been about theirs. Serious work can be serious and still not succeed.
+The constitution model never says the divine essence is matter, only that it plays the role matter plays in Aristotle's analysis. Calling that "immaterial stuff" is a caricature of a careful proposal.
1. The correction is right.
Nothing physical is being smuggled in, and the account does not claim that God is made of anything you could touch. What it borrows is a structure. In Aristotle's analysis of ordinary objects there is the material and there is the form organizing it, and two objects can share the material while differing in form. The proposal assigns the divine essence the structural place that material occupies, and the properties that make each person that person the place form occupies. No spiritual substance you could put on a scale is being slipped in.
2. The role that does the work is a role only stuff can play.
Ask first why the statue and the column count as one object rather than two. Because there is one hunk of marble present, and a hunk is exactly the sort of thing that can be one while answering to more than one description.
Now move to God and ask the same question. Why do the three persons count as one God? On this model, because there is one essence they share in the way the carvings share the marble. Everything depends on the essence being shareable in that way, and being shareable in that way is a feature of quantities of material. Once it is stipulated that the essence is not that sort of thing, the reason for counting one has quietly gone missing along with the marble.
3. The historical warning was aimed at this exact move.
Paul of Samosata argued in the third century that calling the Son of one substance with the Father made the divine being a stuff distributed among them. Basil reports the episode and rejects the charge as a slander on the word's defenders (Epistle 52.1), and Athanasius put the whole trick of Paul's argument down to taking the word in a bodily sense (De synodis 45).
That is not a proof by itself, and it should not be sold as one. What happened at Antioch reaches us through fourth-century writers with a stake in the outcome, and historians still debate the details of Paul's own argument. The Fathers were also answering a cruder opponent than any modern one, since Paul meant something bodily and nobody today does.
Their ruling on the word is not in dispute, though, and it is the part that matters: taken in a bodily sense, homoousios is a sophistry. That verdict comes from the men who fixed the word's meaning, it holds however the episode at Antioch is reconstructed, and it is a warning about which way the analogy tends to pull.
4. A second failure does not depend on the stuff charge at all.
Even granting every clarification, the model asks the reader to see the persons as related the way the statue and the column are, and those two share every property that shows. The persons do not. The Son became incarnate and the Father did not, and each holds a first-person standpoint the others cannot occupy (P4). Answering the stuff objection leaves that one exactly where it was.
+The essential indexical argument proves too much. If three exclusive first-person perspectives make three centers of consciousness, that is tritheism, three Gods rather than one, and the argument destroys the trinitarianism it was meant to defend.
1. The pressure is real.
Anyone who says the three are genuine centers of self-consciousness owes an account of why that is not tritheism, and the demand is not a debating trick. It is the most pressing question facing this whole family of views, and its own defenders say so.
2. Three selves are three Gods only if a self must be a being.
That is the assumption doing the work, and it is not obviously true. What the biblical material requires is three who address one another, love one another, send and are sent. What monotheism requires is one divine being. Those two requirements collide only if each self has to come with its own being attached.
The whole point of a model of the Trinity is to describe how they need not. One approach makes the persons the three sets of rational faculties of a single spiritual substance, so that there are three selves and one being. Whether that succeeds is a question for the model. The objection cannot be settled by assuming in advance that it fails.
3. The Gospels put the three standpoints there before any philosopher did.
The Son prays and the Father does not pray. The Son is sent and the Father sends. On the cross the Son is forsaken and the Father is not the one forsaken (Mark 15:34).
Those scenes are not decorative. Take away the three standpoints and they become one person speaking to himself in different voices, which is modalism with better stage directions. Any orthodox model has to carry the standpoints, so no model gets to treat them as an embarrassment.
4. The indexical argument shows something narrower than the objection assumes.
It is not an argument that the persons are three beings. It is an argument that the statue and the column cannot model them, because that model draws its persuasive force from the two objects being alike in everything that shows, and standpoints are precisely what they cannot share.
A model that unifies by shared qualities cannot hold together three things whose defining feature is a quality they do not share. That leaves the question of unity open. It does not answer it in the direction of tritheism.
See also:
PT / The Trinity: Anti-Social TrinitarianismPT / The Trinity: Functional and Group Mind Monotheism
+The creeds themselves teach the identity reading. Toledo says each single person is wholly God in himself, the Athanasian Creed has every person by himself God and Lord, and Lateran IV says each person is that same divine substance.
1. The citations are accurate.
Several creeds written after Nicaea do speak that way, most likely under the influence of a strong doctrine of divine simplicity, the view that God has no parts and no features distinct from himself. Pretending the texts say something milder would be dishonest. A reader who looks them up will find exactly what the objection reports.
2. Read as identity statements, those lines create the incoherence rather than preventing it.
Run the logic and watch where it goes. If "the Father is wholly God" means the Father is identical to God, and "the Son is wholly God" means the Son is identical to God, then the Father is identical to the Son, because identity is transitive and nothing in the sentences stops the inference.
That conclusion is the one thing every creed quoted was written to rule out. So either the lines are not identity statements, or the creeds refute themselves in consecutive sentences. Charity and plain sense both point the same way: the Fathers were insisting that no person is a diminished or secondary God, which is a claim about full deity rather than a claim about numerical identity.
3. The classical tradition blocks the same step by another route.
There is a second way to refuse that inference, and the classical tradition takes it. On that account each person really is the divine essence, and the persons are told apart by their relations of origin, meaning where each one stands within God: the Father begets, the Son is begotten, the Spirit proceeds. Those relations stand opposed to one another the way "father of" and "son of" do, and the opposition is where the transitive step gets refused. You cannot slide from "the Father is the essence" and "the Son is the essence" to "the Father is the Son," because what tells them apart is a relation that runs one way and not the other. Christians have pressed and defended that joint since Augustine, who argued that Father and Son are said relative to one another rather than said of the substance (On the Trinity 5).
That is no dodge. But notice what it is not. It is not the flat identity reading the objection wants, and it agrees with the point at issue: taken as bare equations, those lines would wreck the doctrine they were written to protect.
4. The tradition itself supplies the other half of the sentence.
Hilary of Poitiers, who spent his career defending Nicaea against the Arians and their denial that the Son is fully God, argues across the seventh book of On the Trinity that each divine person is in the Unity while no person is the one God (7.2, and again at 7.13 and 7.32). He is nobody's idea of a liberal.
He was not contradicting the creeds. He was saying carefully what they say compactly, and his formulation is the one that survives inspection.
5. The reading holds on any view of conciliar authority.
Christians weigh a conciliar formulation differently when it appears to outrun what Scripture states, and nothing said about relative identity or marble settles that disagreement. It does not need settling for the point to stand. Nothing in Scripture requires strong divine simplicity, and nothing in Scripture requires that each person be identical to the whole Trinity, so on anyone's view of the councils, a reading that makes the creeds contradict themselves is not the reading their framers intended.
See also:
PT / The Trinity: The Logical Problem of the TrinityPT / Theology Proper: Divine Simplicity (Classical / Strong)PT / The Trinity: Divine Simplicity and the Trinity
+The Cappadocian distinction between ousia and hypostasis just is relative identity in older clothes. "Same being, different persons" is sameness relative to a sort, so the Fathers were relative-identity theorists long before the term existed.
1. The resemblance is genuine and worth taking seriously.
The Cappadocians were three fourth-century bishops, Basil of Caesarea and the two Gregorys, who did more than anyone to fix the language the church still uses. Their formula pairs a sameness and a difference in one breath, and if you squint at the Greek from a distance, "one ousia, three hypostaseis" and "the same God, different persons" do look like the same move.
2. The Cappadocian formula makes two claims about two different things.Ousia means being or essence, so "one ousia" is a claim about what God is: one divine nature, one being. Hypostasis means a particular someone, so "three hypostaseis" is a claim about who: three who stand in relation to one another. Two claims, about two different subjects, joined by an "and."
Relative identity is one claim tagged to a sort: a single relation, sameness, whose answer varies with the kind of thing you ask about. That is a different move entirely. Compare "this is one house with three bedrooms," which is two claims joined, with "this house is the same building as that one but a different house," which is the relativized claim. Only the second one needs a new logic.
3. The Fathers were not revising logic, because they were not making identity claims.
They had ordinary absolute identity available and used it constantly. What they were doing was separating two questions that Greek theological vocabulary had run together.
It had run them together badly. The condemnation attached to the Nicene Creed falls on anyone who says the Son is of a different hypostasis or ousia, treating the two words as interchangeable, and to Greek ears that could sound like a denial that the three are distinct at all. The Synod of Alexandria in 362 began the untangling, ruling that the one-hypostasis party and the three-hypostaseis party could both be orthodox if each meant what it said it meant, and the Cappadocians finished the job over the twenty years after that.
That was a repair to vocabulary, not to logic, and the difference is the whole point.
4. If anything, the Fathers stand on the other side of the dispute.
A formula that separates what God is from who the persons are already implies that "the Father is God" is not an equation. Read the ousia and hypostasis distinction consistently and it delivers the predication reading (P1) rather than requiring a repair to identity.
See also:
PT / The Trinity: The Logical Problem of the TrinityPT / The Trinity: The Two Errors Nicaea RefusedPT / The Trinity: Functional and Group Mind Monotheism
+The indexical argument assumes that the persons are three centers of consciousness, which is social trinitarianism, a modern minority view. On the classical account the persons share one intellect and one will, so there is no problem to solve.
1. The classical account is ancient and serious.
It is held by people worth arguing with, and treating it as a fringe position would be both rude and false. On that view the persons are told apart by their relations of origin, meaning where each stands within God, so that the Father begets the Son and the Spirit proceeds, rather than by distinct centers of consciousness. It has been the dominant reading in the Latin West for many centuries.
2. The label "social" is less informative than it sounds.
Social trinitarianism is the view that Father, Son and Spirit are three distinct centers of consciousness bound together in perfect love and unity of will. Sorting the field with that label is harder than it looks, because the dividing line is not East against West and it is not ancient against modern. Tertullian argued against the modalists, who held that the three are one person under three names, that nobody can say "The Lord said to my Lord" to himself (Against Praxeas 11). Tertullian, Hilary and Athanasius are all reckoned social trinitarians on the modern labels, and every one of them wrote centuries before the divide those labels describe.
There is a caution buried in the textbook claim that patristic "person" meant something psychologically thin, and the caution is sound. Those writers were not doing modern philosophy of mind and should not be conscripted into it. The stronger version, that their word carried nothing at all about consciousness, is greatly exaggerated. Tertullian asks his reader to notice his own silent thinking, where a word meets him at every movement of thought, so that in a sense the word is a second person within him, and then says all of it is transacted more fully in God (Against Praxeas 5). An argument like that needs a self that can say "I" and mean it.
3. Both objections to constitution survive on either account.
Suppose the classical view is right and there is one intellect and one will in God. The constitution model still turns the divine essence into a shareable material (P3), and it still leans on the persons being as much alike as a statue and a column, which fails on facts nobody disputes: the Son became incarnate and the Father did not.
So the case against constitution does not stand or fall with social trinitarianism. Only one of its two objections does.
4. The Gospel scenes are the reason the standpoints keep coming back.
Whatever account one prefers, the Son prays to the Father and is heard, is sent, obeys, and is forsaken. A model on which those are one self relating to itself has to read Gethsemane as a soliloquy, a man talking aloud to himself on an empty stage, and that reading has struck many careful readers, including friends of the classical view, as making the scene a performance rather than a prayer. Where that debate goes is a large question, and it is a question for the models rather than for the marble.
See also:
PT / The Trinity: Anti-Social Trinitarianism
+This is philosophical hair-splitting about statues and sorts. The Trinity is revealed, not deduced, and Christians believed it for two thousand years without any of this apparatus.
1. The complaint is largely right.
The concession is not grudging, either. Nobody comes to faith through the theory of material constitution. The doctrine is drawn from Scripture, confessed by people who have never heard the words "hylomorphic" or "indexical," and lived out in ordinary churches by ordinary people. Making technical machinery a condition of holding the doctrine would get the order backwards.
2. The machinery belongs to the objection, not to the doctrine.
The charge on the table is that the doctrine is incoherent, and incoherence is not a devotional problem. An incoherent claim cannot be revealed at all, because there would be nothing there to reveal.
So when someone lays out three sentences and derives a contradiction from them, the reply has to work at the level of the derivation. That is not enthusiasm for machinery. It is answering the question that was asked.
3. The church has always done exactly this work.
Three examples, none of them modern:
- Tertullian pressed a point of grammar in John 10:30, "I and the Father are one." The word for "one" is neuter rather than masculine, one thing rather than one person, unity of essence rather than a single subject (Against Praxeas 22).
- The Cappadocian bishops spent decades sorting out two Greek words that a whole generation had been using interchangeably.
- Athanasius wrote about what homoousios does and does not mean when it is taken in a bodily sense.
None of them thought conceptual work was an alternative to devotion, and none of them mistook it for the gospel either.
4. The conclusion takes machinery away rather than adding it.
That is what an objector to hair-splitting should want. The result is not a new doctrine and not an elaborate rescue. It is that no rescue was needed: no new logic, no spiritual material, no relation known only to theologians. The doctrine can be stated and defended in the language the church has always used to state it.
See also:
PT / The Trinity: The Logical Problem of the Trinity
+Either Jesus is God or he isn't. All this talk about kinds of sameness and blocks of marble is word games, and it looks like what people do when the plain answer is no.
1. The plain answer is yes.
The impatience is fair, so take the short road first. Jesus is God. Fully, without qualification, without an asterisk. Thomas, standing in front of the risen Jesus a week after refusing to believe it, said "My Lord and my God" (John 20:28) and was not corrected. Not a syllable of that sentence is softened by anything said about identity or marble.
2. The complication is the objector's contribution, not the believer's.
A Christian who simply says "Jesus is God, the Father is God, and Jesus is not the Father" has said something perfectly clear. It is the person who replies "then you have contradicted yourself" who introduces the technical claim, because saying that three sentences contradict each other is a claim about the shape of the sentences rather than about God.
Once that charge is on the table, somebody has to look at the form. The believer did not bring the marble to this conversation.
3. Everyone already distinguishes kinds of "is."
"My daughter is a doctor" and "my daughter is Sarah Phillips" are both true, and they work differently. The first tells you what she is, and it could be true of thousands of people. The second tells you who she is, and it is true of exactly one.
Nobody calls that word games. It is how the word "is" behaves, and it behaved that way long before anyone thought to apply it to the Trinity.
4. Declining both repairs is what keeps the sentence simple.
Turn the objection around and look at it from the other side. Relative identity and constitution are the elaborate options. Declining them is the plain one: the sentences mean what they appear to mean, ordinary logic applies to them without amendment, and no contradiction follows.
See also:
PT / The Trinity: The Logical Problem of the Trinity
+The whole discussion assumes a Protestant method, bringing creeds before the bar of Scripture. Catholics and Orthodox cannot do that, so this argument only works inside one branch of Christendom.
1. The difference in method is real.
Protestants hold Scripture as the higher authority and will say, when a formulation appears to outrun the text, that the text governs. Catholic and Orthodox Christians weigh the councils differently, and they are not being obtuse when they decline to treat a conciliar definition as provisional. Papering over that would help nobody, and a dispute about logic and marble is certainly not the place to settle it.
2. The central claims do not depend on the method.
Take them in turn.
- Whether the New Testament writers use "is God" as an equation is a question about first-century Greek usage, and the evidence is the same for every reader (P1).
- Whether identity can be relativized to a kind is a question in logic (P2).
- Whether the divine essence can be shared the way a hunk of marble is shared is a question about what God is (P3).
- Whether the persons hold exclusive first-person standpoints is a question the Gospels answer (P4).
None of those is settled by a view of conciliar authority. A Catholic philosopher who accepts the Fourth Lateran Council of 1215 without reservation still has to decide whether the constitution model turns the essence into stuff, and the arguments available to him are the same ones.
3. On the creeds themselves, this reading is friendly rather than hostile.
The proposal is not that the councils erred. It is that their statements are not identity statements, since read as identity statements they entail that the Father is the Son, which every one of those councils wrote to deny.
That is a reading which lets the creeds mean what their framers meant. It asks no communion to hold its councils loosely.
See also:
PT / Theology Proper: Divine Simplicity (Classical / Strong)PT / Theology Proper: Divine Simplicity (Weak)PT / The Trinity: Divine Simplicity and the Trinity
+The statue and the column happen to look alike, and the model never required that. What makes them one object is the shared matter, so two compounds may differ as widely as their forms differ.
1. The correction is right about the official condition.
The constitution model does not say the persons must resemble one another. It says they are numerically the same God because they share the divine essence the way a statue and a column share one chunk of marble, and that their differences are differences of form, meaning differences in how the shared material is organized. Read strictly, the family likeness of the carved figure on the porch is illustration and not requirement.
2. Strip the likeness out and the intuition the model runs on goes with it.
Ask yourself why anyone believes there is one object standing on that porch. Not because a theory said so. Because you can walk up to the figure and see one thing: one weight, one set of chips along the base, one surface catching the light. The model borrows that verdict, formed by looking, and carries it over to God.
Now imagine the block is at once the Winged Victory, the David, and the Venus de Milo, three figures with nothing in common but the stone. Nobody looking at that would report one object. The formal condition survives untouched. The reason for believing it does not.
3. The weight then falls entirely on the sharing, which is where the trouble already was.
If qualitative likeness is doing none of the work, then everything is being carried by one essence shared three ways. That is precisely the claim that needs a quantity to make sense of it: one hunk, in one place, weighable, and shareable because quantities are the sort of thing that can be one while answering to two descriptions. The divine essence is not that sort of thing (P3), and once it is not, the reason for counting one has gone missing.
4. The persons' differences are not the kind a form supplies.
A form is a way of being organized: a shape carved into stone, an arrangement of matter that makes it this rather than that. The Son's differences from the Father are not arrangements. He became incarnate. He was crucified. He holds a first-person standpoint the Father cannot occupy (P4). Calling those differences of form names them without explaining how one hunk of anything comes to have three insides.
5. One of the model's own authors named the cost in the neighboring case.
Michael Rea turned away from relative identity partly because it makes the distinctness of the persons depend on how we choose to describe them, which he judged a form of modalism, three masks worn by one person. Critics have pressed the same charge back against constitution: on that account, what the object called God is essentially can be answered only relative to a description picking it out as a person or as God. If the complaint was fatal in the one place, it is at least serious in the other.
+The alternative on offer makes the persons parts of the one God. Parts of a divine whole is the stuff problem wearing a different word, so the objection to constitution takes the replacement down with it.
1. The parallel is worth pressing.
The first of the two positive accounts (P5), that the Trinity as a whole is the one instance of the divine nature, comes in a version that has the persons standing in a part-whole relation to God. "Part" is a word the Nicene party guarded with care. Anyone who has just watched the constitution model turned away for making the essence a shareable material is entitled to ask why parthood should fare any better.
2. The objection to constitution was never that parts are forbidden.
It was that the model's unifier has to be a quantity, since a quantity is the one kind of thing that can be single while answering to two descriptions (P3). Parthood makes no such demand. The parts in question are not separable pieces, nothing is divided, and nothing is measured out. The formula the account answers to is that each person is wholly God, and no person is the whole of God.
Tertullian policed this line himself. He refused to call the Son a pars of God, a piece broken off, and was content to call him a portio, a share in what the Father is, which is not a lump cut from a block (Against Praxeas 9).
3. The same account has a version that uses no parthood at all.
On it each person is divine by having the properties nothing but God has: necessity, omnipotence, omniscience, eternity, and aseity, which means existing from oneself and depending on nothing else for it. Being triune belongs to the divine nature taken whole, so a person can carry every divine attribute without being one more instance of that nature, and nothing in the account is a piece of anything. Whatever the parthood objection turns out to be worth, it leaves that version standing.
4. Neither route is offered as settled.
Both are contested, and Christians who hold the doctrine press each of them hard. That is the ordinary condition of live work in metaphysics rather than an embarrassment.
The difference that matters is the shape of the answer. A model says what God is, and can then be argued with on that ground, from Scripture and from coherence. A device says how to count and leaves the question standing where it found it. A costly model and an empty device are not the same kind of failure, and only one of the two can be improved.
See also:
PT / The Trinity: Trinity MonotheismPT / The Trinity: Divine Simplicity and the Trinity