Does Trinity Entail Quaternity?

Christianity, like the other two Abrahamic religions, is monotheistic. But unlike Judaism and Islam, Christianity holds to a trinitarian conception of God. The idea, spelled out in the Athanasian Creed, is that there is one God in three divine Persons, the Father, the Son, and the Holy Ghost. Each person is God, and yet there is exactly one God, despite the fact that the Persons are distinct from one another. How is this possible? How can Christians convince Jews and Muslims that their position is logically tenable and does not collapse into tritheism, and thus into polytheism to the detriment of the divine unity and transcendence?

Here is one problem. God is said to be tripersonal: the one God somehow includes three numerically distinct Persons. But none of these Persons is tripersonal. The Father is not tripersonal. The Son is not tripersonal. The Holy Ghost is not tripersonal. Now if two things differ in a property, then they cannot be identical. (This is the irreproachable principle of the Indiscernibility of Identicals expressed in its contrapositive form.) Now God and each of the Persons differs in point of tripersonality: God is tripersonal while no Person is tripersonal.  It follows that God is not identical to the Father, nor to the Son, nor to the Holy Ghost. Therefore, God is not identical to any of the Persons, whence it follows that God is distinct from each of the three Persons. And if God is distinct from each of the Persons, then he is a Fourth. 

Is God a divine person? If you say yes, then we are on our way to the Quaternity, the doctrine that there is one God in four divine Persons. For if God is not identical to the Father, or to the Son, or or to the Holy Ghost, each of which is a person, and God is a person, then there are four – count ‘em – four Persons.

Some doctrines in philosophy threaten to collapse into others. Thus mind-brain identity theory threatens to collapse into eliminativism about the mind. Other doctrines seem to want to expand. How do we keep the Trinity from expanding into the Quaternity? The attentive reader will have noticed that the argument can be iterated. If the Three-in-One becomes a Four-in-One, how avoid a Five-in-One, ad infinitum?

Some Water Analogies for the Trinity

The following is based partially on H. A. Wolfson, The Philosophy of the Church Fathers, Volume One: Faith, Trinity, Incarnation (Harvard University Press, 1956), pp. 359-363.

Hippolytus: The Logos comes from the Father as water from a fountain.

Tertullian: The Father is to the Logos as fountain is to river. One substance assumes two forms.

Lactantius: The Father is an overflowing fountain, the Son a stream flowing from it.

Zeno of Verona: Father and Son are two seas filled with the same water which, though two, are yet one.

Vallicella of Arizona: Water occurs in three distinct states, the gaseous, the liquid, and the solid. One and and the same quantity of water can assume any of these three states. Distinctness of states is compatible with oneness of substance.

Of the water analogies, I like the last one best (!) despite its being as worthless as the others. All four involve an equivocation on ‘substance.’ The sense in which water is a substance is not the sense in which God is a substance. Water is a substance in the sense of a stuff; God is a substance in the sense of a hypostasis (that which stands under) or hypokeimenon (that which is placed under), or as I prefer to say, an individual. Note also that a quantity of H2O can be in the three states only successively not simultaneously whereas God is 'simultaneously' the three Persons.

Of course, there are better physical analogies, light for example, and also nonphysical analogies such as the soul (Augustine). Something on this later. My only point is that these water analogies do nothing to render the Trinity doctrine intelligible, hence no one should be convinced by them.

Neglected Philosophers

It is unfortunate that a philosopher like Heidegger receives a vast amount of attention, and indeed more than he deserves, while a philosopher such as Wolfgang Cramer is scarcely read at all. I have German correspondents who have first heard of Cramer from me, an American. I admit to being part of the problem: I have published half a dozen articles on Heidegger, but not one on Cramer, or on Maurice Blondel, or on Constantin Brunner, or on Brand Blanshard.

Jacques Derrida is another philosopher who has received an excess of attention. (Because he out-Heidegger's Heidegger?)  Why read him when you can read Blondel or Blanshard? Just because he has made a big splash and people are talking about him? Are you a philosopher or a fashionista?  Form your own opinion. Try this. Set a volume of Derrida side by side with a volume of Blanshard. Read a few pages back and forth. Then ask who you are more likely to learn something from. But being as perverse as we are, we often prefer the far-out, novel and radical, even when  incoherent, to the boringly solid and sensible.

Trinitarian Reading Material

Trinity Dale Tuggy's Stanford Encyclopedia of Philosophy entry, Trinity, provides a good overview.  The specialist blog, Trinities, to which he contributes will also be of interest.  Here is Richard Cartwright's excellent "On the Logical Problem of the Trinity."  Caveat lector: it contains a few scanning errors. Essential reading nonetheless.  Cartwright rejects Peter Geach's relative identity solution.  For a defense of the relative identity approach, see A, P. Martinich, Identity and Trinity. (Requires access to JSTOR.  What? You say you don't have access to JSTOR?  How do you live without it?)

Jeffrey Brouwer and Michael Rea, Material Constitution and the Trinity.  For William Lane Craig's critique, see Does the Problem of Material Constitution Illuminate The Doctrine of The Trinity? 

That barely scratches the surface, but should keep you busy for a while.

By the way, don't confuse the diagram with the doctrine.  It is a graphic 'aid' which probably does more harm than good.  Philosophical thinking is not picture-thinking.  As Hegel might have said, Philosophisches Denken ist nicht vorstellendes, sondern begriffliches, Denken.

The Naturalist’s Version of Fides Quaerens Intellectum

Theism in its various forms faces numerous threats to its truth and coherence. Christianity, for example, is committed to doctrines such as the Trinity whose very coherence is in doubt. And all classical theists face the problem of evil, the problem of reconciling the fact of evil with the existence of a God who is omniscient, omnipotent, and omnibenevolent. Faced with an objection like the one from evil, theists typically don’t give up their belief; keeping the faith, they seek an understanding both of it and its compatibility with the facts and considerations alleged to be inconsistent with it.

What I want to argue is that naturalists employ the principle of Faith Seeking Understanding no less than theists. Naturalism faces numerous threats to its truth and coherence. Let’s start with what philosophers call the phenomenon of intentionality, the peculiar directedness to an object that characterizes (some) mental states. It is very difficult to understand how a purely physical state, a state of the brain for example, could be of, or about, something distinct from it, something that need not exist to be the object of the state in question. How could a physical state have semantic properties, or be true or false? How could a piece of meat be in states that MEAN anything? How do you get meaning out of meat? By squeezing hard? By injecting it with steroids? Does a sufficiently complex hunk of meat suddenly become a semantic engine? How could a brain state, for example, be either true or false? This suggests an argument:

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Chess: Game or Sport?

Paul Weiss, Sport: A Philosophic Inquiry (Southern Illinois University Press, 1969), pp. 142-143:

Hockey demands bodily exertion. Like every other sport, it tests what a rule-abiding man can bodily be and do. Though chess also has rules, and these have a history, and though a masterly game makes considerable demands on the stamina of the players, chess is not a sport because it does not test what a man is as a body. Mind and body more or less reverse their roles in these two cases. In hockey judgment and determination are subservient to bodily achievement, but in chess the body is used only to make possible a more effective judgment and determination.

Saturday Night at the Oldies: The Rain Theme

Desert rain Here in the Zone and elsewhere in the West we are getting a much-needed soaking. And that puts me in mind of my favorite rain songs. 

Fire and Rain is particularly appropriate for California: first the wildfires strip the land of vegetation, then the rains come and bring on mudslides.  Didn't James Taylor have an album called Mudslide Slim

Dee Clark, Raindrops.  Cascades, Rythm of the Rain (1963). 

The Beatles' Rain 'blew my mind' back in '66.

And of course there is the lovely Gordon Lightfoot composition, Early Morning Rain, here performed in 1966 by PP&M.  Dylan's version is also very nice.

Speaking of America's troubadour, we cannot omit his Hard Rain, written in 1962 during the Cuban Missile Crisis.  Dylan was a great writer of topical songs because he knew how to make them poetic and not too obvious.

Rainy Day Women #12 & 35?  Dylan's worst song.  Doesn't deserve a link.  But his "Buckets of Rain" (from Blood on the Tracks) is another story.  Here is Maria Muldaur's version.  Remember her?  And Dave van Ronk's.

De Trinitate: The Statue/Lump Analogy and the ‘Is’ of Composition

Thanks to Bill Clinton, it is now widely appreciated that much rides on what the meaning of ‘is’ is. Time was, when only philosophers were aware of this. In our Trinitarian explorations with the help of our Jewish atheist friend Peter we have discussed the ‘is’ of identity and the ‘is’ of predication. We saw that ‘The Father is God’ could be construed as

1. The Father is identical to God

or as

2. The Father is divine.

Both construals left us with logical trouble. If each of the Persons is identical to God, and there is exactly one God, then (given the transitivity and symmetry of identity) there is exactly one Person. On the other hand, if each of the Persons is divine, where ‘is’ functions as copula, then tri-theism is the upshot. Either way, we end up contradicting a central Trinitarian tenet.

But there is also the ‘is’ of composition as when we say, ‘This countertop is marble,’ or in my house, ‘This countertop is faux marble.’ ‘Is’ here is elliptical for ‘is composed of.’ Compare: ‘That jacket is leather,’ and ‘This beverage is whisky.’ To say that a jacket is leather is not to say that it is identical to leather – otherwise it would be an extremely large jacket – or that it has leather as a property: leather is not a property. A jacket is leather by being made out of leather.

Suppose you have a statue S made out for some lump L of material, whether marble, bronze, clay, or whatever. How is S related to L? It seems clear that L can exist without S existing. Thus one could melt the bronze down, or re-shape the clay. In either case, the statue would cease to exist, while the quantity of matter would continue to exist. It follows that S is not identical to L. They are not identical because something is true of L that is not true of S: it is true of L that it can exist without S existing, but it is not true of S that it can exist without S existing.   I am assuming the following principle, one that seems utterly beyond reproach:

(InId)  If x = y, whatever is true of x is true of y, and vice versa.

(This is a rough formulation of the Indiscenibility of Identicals.  A more careful formulation would block  such apparent counterexamples  as:  Maynard G. Krebs believes that the morning star is a planet but does not believe that the evening star is a planet.)

Returning to the statue and the lump, although S is not identical to L, S is not wholly distinct, or wholly diverse, from L either. This is because S cannot exist unless L exists. This suggests the following analogy: The Father is to God as the statue is to the lump of matter out of which it is sculpted. And the same goes for the other Persons. Schematically, P is to G as S to L. The Persons are like hylomorphic compounds where the hyle in question is the divine substance. Thus the Persons are not each identical to God, which would have the consequence that they are identical to one another. Nor are the persons instances of divinity which would entail tri-theism. It is rather than the persons are composed of God as of a common material substance. Thus we avoid a unitarianism in which there is no room for distinctness of Persons, and we avoid tri-theism. So far, so good.

Something like this approach is advocated by Jeffrey Brower and Michael Rea, here.

But does the statue/lump analogy avoid the problems we faced with the water analogy? Aren’t the two analogies so closely analogous that they share the same problems? Liquid, solid, and gaseous are states of water. Similarly, a statue is a state of a lump of matter. Modalism is not avoided. If the Persons are like states, then they are not sufficiently independent. But a statue is even worse off than a state of water. Water can be in one of its states whether or not we exist. But a hunk of matter cannot be a statue unless beings like us are on the scene to interpret it as a statue. Thus my little ceramic bust of Beethoven represents Beethoven only because we take it as representing the great composer. In a world without minds, it would not represent anything. The Persons of the Trinity, however, are in no way dependent on us for their being Persons of the Trinity.

It might be counterargued that water is not to its states as lump to statue. Water must be in one of its three states, but a lump of bronze need not be in any statue-state. That is indeed a point of disanalogy between the two analogies. But notice that God and the Persons are necessarily related: God cannot exist without the Persons. A lump of bronze can exist without being a statue. In this respect, the water analogy is better: water must be in one its three states just as God must be composed of the three Persons.

Besides the threat of modalism, there is also the fact that God is not a substance in the sense in which clay and water are substances. Thus God is not a stuff or hyle, but a substance in the sense of a hypostasis or hypokeimenon. And it does no good to say that God is an immaterial or nonphysical stuff since what must be accommodated is the divine unity. The ground of divine unity cannot be matter whether physical or nonphysical. We saw that one and the same quantity of H20 cannot be simultaneously and throughout liquid, solid, and gaseous. Similarly, one and the same quantity of bronze cannot be simultaneously and throughout three different statues. Connected with this is how God could be a hylomorphic compound, or any sort of compound, given the divine simplicity which rules out all composition in God.

In sum, the statue/lump analogy is not better than the water/state analogy. Neither explains how we can secure both unity of the divine nature and distinctness of Persons.

Is The Doctrine of the Trinity Logically Coherent? (Peter Lupu)

In this installment, Peter Lupu, atheist, defends the logical coherence of the doctrine of the Trinity.  My critical comments follow in blue.

It may be somewhat of an astonishment to those who know me well that I should venture to defend the doctrine of the Trinity. I am not a Christian; I am not religious; I am an atheist; and I have at least on one occasion privately expressed to Bill my reservations about the coherence of the Trinity doctrine. Nevertheless, there is a question here that deserves exploring. What is the question?

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Gratry on Trinity and Mystery

Gratry Alphonse Gratry (1805-1872), Logic, tr. H and M. Singer (Open Court, 1944), p. 336:

What does Catholic theology have to say about unity in the Trinity, and of the Trinity in unity? It teaches that the unity and the Trinity are not expressed in the same respect but in two different respects: absolute unity of nature; absolute trinity of persons. The nature of God, which is one, is not triple; that would be a contradiction in terms . . . ; the nature is purely, simply, and absolutely one. The persons, in their turn, which are three, are not one at all; they are purely, simply, and absolutely three. Doubtless the mystery still remains, but reason . . . is completely maintained here, veiled, it is true, but unimpaired: indeed, instead of unimpaired, I might say that it is divinely sustained.

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I’m a Racist Because I Disagree with You?

Then you are a racist for disagreeing with me. For I have a race too.  I'm a sexist because I dissent from your opinion?  Then you are a sexist for disagreeing with me.  For I have a sex too.  I'm an ageist because I don't buy your point of view?  Then you are an ageist for disagreeing with me.  For I have an age too.

And one more thing.  It is your liberal-left adherence to the double standard that make it impossible for you to 'get it.'

Could It Be LIke This?

Every finite thing is vain, empty, fleeting, devoid of self-nature or own-being, ontologically and axiologically ambiguous, an admixture of being and nonbeing, of value and disvalue, anatta.  And the system of these finitudes, the whole lot of them?  The same.  And beyond the system?  Nothing.

On Owning Land

Blaise Pascal, Pensées #113 (Krailsheimer tr., p. 59):

It is not in space that I must seek my human dignity, but in the ordering of my thought. It will do me no good to own land. Through space the universe grasps me and swallows me up like a speck; through thought I grasp it. 

Pascal is right:  what good will owning acres and acres of land do me? In the end a man needs only — six feet.  And before the end I should be seeking truth, not lusting after land.  So I remind myself when the urge to buy land grips me.

Henri Frederic Amiel on the French Mind

Amiel_henri From The Private Journal of Henri Frederic Amiel, tr. Brooks and Brooks (New York: The Macmillan Co., 1935), pp. 428-429:

22 December 1874. Written in the South of France. – Gioberti says that the French mind assumes only the form of truth and, by isolating this, exaggerates it, in such a way that it dissolves the realities with which it is concerned. I express the same thing by the word speciousness. It takes the shadow for the object, the word for the thing, the appearance for the reality and the abstract formula for the truth. It does not go beyond intellectual assignats. Its gold is pinch-beck, its diamond paste; the artificial and the conventional suffice for it. When one talks with a Frenchman about art, language, religion, the State, duty, the family, one feels from his way of talking that his thought remains outside the object, that it does not enter its substance, its marrow. He does not seek to understand it in its inwardness, but only to say something specious about it. This spirit is superficial and yet not comprehensive; it pricks the surface of things shrewdly enough, and yet it does not penetrate. It wishes to enjoy itself in relation to things; but it has not the respect, the disinterestedness, the patience and the self-forgetfulness that are necessary for contemplating things as they really are. Far from being the philosophic spirit, it is an abortive counterfeit of it, for it does not help to resolve any problem and it remains powerless to grasp that which is living, complex and concrete. Abstraction is it original vice, presumption its incurable eccentricity and speciousness its fatal limit.

Conceivability and Epistemic Possibility

Sydney-shoemaker My disembodied existence is conceivable (thinkable without apparent logical contradiction by me and beings like me). But does it follow that my disembodied existence is possible? Sydney Shoemaker floats the suggestion that this inference is invalid, resting as he thinks on a confusion of epistemic with metaphysical possibility. (Identity, Cause, and Mind, p. 155, n. 13.)  Shoemaker writes, "In the sense in which I can conceive of myself existing in disembodied form, this comes to the fact that it is compatible with what I know about my essential nature . . . that I should exist in disembodied form.  From this it does not follow that my essential nature is in fact such as to permit me to exist indisembodied form."

We need to think about the relation between conceivability and epistemic possibility if we are to get clear about the inferential link, if any, between conceivability and metaphysical possibility.   Pace Shoemaker, I will suggest that the inference from conceivability to metaphysical possibility need not rest on a confusion of epistemic with metaphysical possibility.  But it all depends on how we define these terms. 

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