Part two on the Logical Problem of the Trinity: The Logical Problem of the Trinity and social, psychological and constitution models in response to it


This is part two of a blog related to the Logical Problem of the Trinity part one available here:https://theologyphilosophyscience.blogspot.com/2020/06/modalism-tritheism-and-co-inherence-as.html

The Logical problem of the Trinity

Having outlined the extremes of modalism and tritheism and laid out co-inherence as the way to avoid these extremes I will now turn to the logical problem of the Trinity. Within the Athanasian Creed, the following three theological theses on God as Trinity can be found:

“1- We worship God in Trinity and Trinity in Unity... Neither confounding the persons nor dividing the substance.’

2- So the Father is God, the Son is God, and the Holy Spirit is God.

3- And yet they are not three Gods, but one God” (Molto, 2017).

The logical problem that arises from this can be characterized in the following way:

“1 Each person of the Trinity is distinct from each of the others.

2 Each person of the Trinity is God.

3 There is exactly one God” (Craig, 2005).  

These three together have the implication that three distinct beings are identical with one being, which is incoherent. A series of strategies to overcome this incoherence, from the social, constitution and psychological models of the Trinity will now be assessed.

The social model of the Trinity

The Gospels refer to the Father and the Son. Social Trinitarians have argued this suggests an analogy to family. As a solution to the logical problem of the Trinity they claim the three of the Trinity are one in the same way the members that make up a family are (three individual humans yet a single family) (McCall, 2010), (Murray and Rea, 2012),. I find this line of thought unpersuasive - for one thing the relation between Father and Son is more than just familial, it denotes a role which entails the other’s existence - the Father cannot be a Father without the Son and the Son cannot be the Son without the Father. Furthermore, any family unit one can give as an example, contains members which are not only distinct but also separate (separate consciousness will emotion etc) from one another; thinking of the persons of the Trinity as separate from one another in the same way members of a family are will lead to either latent or explicit tritheism. It also falls short in securing unity amongst the persons of the Trinity- there are versions of polytheism such as “the children of Chronos in Greek mythology, of whom Zeus was the liberator, and these children included Zeus, Hera, Ares, and other Olympian deities—all members of a divine family” (Murray and Rea, 2012) . However, one would not claim that this divine family can be thought of as one God (McCall, 2010), (Murray and Rea, 2012)

Advancing beyond this social Trinitarians have noted other relations amongst the three of the Trinity alongside their being a family. Richard Swinburne has argued several relational facts secure unity within the Trinity. They share characteristics of divinity such as omniscience, omnipotence, omnibenevolence and omnificence. There is also the relation between "the 'persons’ wills being necessarily harmonious, so that they never conflict with one another and the perfect love with necessary mutual interdependence” (Murray and Rea, 2012). Mutual dependence is taken by Swinburne to be equivalent to co-inherence.  Swinburne therefore holds that there is one God because the community of three are so interconnected that despite being three distinct persons they act as if they are one entity (McCall, 2010), (Murray and Rea, 2012).

Swinburne takes it as far as to claim that there are three- rather than only one- divine individuals. Marilyn McCord Adams has described his thought here as follows “three numerically distinct souls of the Divine essential kind, each instantiating the universal Divinity, each inevitably everlasting but individuated from one another by relations of origin” (Adams, 2006). On this perspective it is the same essence of divinity that makes the Father, Son and Spirit all God[1] (Swinburne, 1994).  

What I take to be a key issue with Swinburne’s model is its assumption that mutual dependence is equivalent to co-inherence which is false; co-inherence also entails the Father, Son, and Spirit inseparably and mutually indwell each other, not just a relation of interdependence. As Bishop Bull has said on the matter of co-inherence “the co-inherence of the Divine Persons is indeed a very great mystery, which we ought rather religiously to adore than curiously pry into …. It is a union which far transcends all other unions” (Bull,1851). Swinburne’s attempt to reduce co-inherence to mere mutual dependence, I therefore find insufficient, and as such think it is unsuccessful in allowing one to identify as Trinitarian and Monotheist at the same time.

Stephen T Davis’s social Trinitarian approach of recognizing co-inherence as mutual indwelling, interpenetrating and merging has more merit, however Davis more readily recognises the Trinity is at bottom mysterious, beyond philosophical rigour to capture in doing so (McCall, 2016). The model also has a short falling as it relies solely on co-inherence to ward off accusations of tritheism, however co-inherence is not the sole way that the three of the Trinity operate- there is also the role of incorporation. Incorporation accommodates the mutual existence, mutual indwelling, and mutual operation in the immanent existence and in the economic activity of the three persons of the Trinity. Incorporation therefore sees the work of the three as inseparable to accomplish what is distinct to one person alone, the carrying out of the divine economy via action of the three by what they are  and what they do meaning that when one acts they incorporate the operations of the other two in manifest action. This means each can be identified with the other with no compromising of the eternal distinction among them (Lee, 1996).

An instance of incorporation is that the second person of the Trinity the Son was crucified and resurrected from the dead; not the Father or the Spirit, however it is the case that the Father and Spirit were not separate from Christ still operating in him as he was crucified. Christ offers himself through the Spirit, entailing the Son in himself could not accomplish his crucifixion, the Spirit one with the Son who died on the cross with the Father and by the Spirit.  The death of Christ was not only the death of the man Jesus but the death of the Son with the Father and by the Spirit. The scriptures testify both that the Father and the Spirit raised the Son on the third day; however, they also testify that the Son rose from the dead. This recognises two things: in his humanity God raised Jesus from the dead, whereas from the consideration of him as God we are informed, he himself rose from the dead. The crucifixion and resurrection of Christ is therefore an operation of the entire Trinity which is divinely incorporated (Lee,1990), the co-inherence and incorporation of the Trinity far beyond the ability of these models to capture.

Swinburne’s model also fails in capturing the oneness in expression and function of the triune God which goes beyond mere aligning of will or indivisibility for logical reasons between the persons’, as the scriptures identify that one is another and the three are used interchangeably in relation to man’s experience of God. God relates to man in a threefold manner, not a collective entity which makes the Trinity, but the Trinity itself, freely and gratuitously communicated. Brian Leftow has criticised Swinburne’s model similarly on the grounds of worship as it only  makes sense if directed to someone who is aware of being addressed, however collections are not conscious so one cannot worship Swinburne’s collective save as a way to worship its members (McCall, 2010).

It also requires a commitment to the belief that the Son exists in the same way that creatures exist- only due to the Father conserving him in being and not ending him. This is because Swinburne views each person of the Trinity as a discrete substance (distinct being) even when he sees the Son as casually dependent on the Father. Moreland and Craig note that as the Son is viewed as a distinct substance from the Father, the Father’s begetting the Son therefore amounts to a creation ex nihilo, which as Arius claimed makes the Son a creature (Craig and Moreland,2003). This is wholly inadequate as in the Gospel of John the relationship between the Son and the Father can be seen. For example, in John 1:14 “the only Begotten from the Father”—the Greek word for “from” is παρὰ (para), which means by the side of, implying with hence, it is, literally, from with (Strong, 1890). This means that the Son not only is from God but also is with God. On the one hand, he is from God, and on the other hand, he is still with God. This is contrary to Swinburne’s understanding of the Son existing due to the Father conserving him and not ending him.

As for the unity of will among the three divine persons on this model, this does not support Trinitarianism for three separate Gods who were each omnipotent and morally perfect would similarly act cooperatively, so Swinburne’s reasoning can lead one to conclude tritheism just as easily as Trinitarianism (Craig and Moreland, 2003). Swinburne may respond  to this critique, that this concern is dealt with by the Farther being the source of the other persons ensuring a guaranteed coordination in their wills, whereas if they were three Gods there could be two equally optimal, mutually exclusive ways of proceeding, wherein one God might will one way, while another differently. My concern with this response is that until a specific example can be given, or possible world constructed wherein this takes place, such a possibility must be disregarded and therefore one has to assume the God’s having the same nature and attributes would lead to them acting cooperatively. Craig and Moreland even go as far as to claim that if Swinburne’s arguments against the possibility of dissension are correct this must be so (Craig and Moreland, 2003).

Other social Trinitarians have given accounts of how the three of the Trinity are one. The part–whole model[2].is such a one, and C.S. Lewis's uses an analogy of God being three in one and one in three in the same way a cube is six squares yet one cube (Murray and Rea, 2012).  J. P. Moreland and William Lane Craig use the analogy of the three beings that compose Cerberus, a mythical guardian of the underworld. “Each of the three heads —or each of the three souls associated with the heads—is a fully canine individual, and yet there is only one being, Cerberus, with the full canine nature- three persons of a type, and still one dog” (McCall,2010), (Murray and Rea, 2012).

There are two main issues with this approach: first, like with Swinburne and Davis’s accounts it does not get one to the co-inherence, incorporation and oneness in expression and function of the triune God as a whole that is needed amongst the divine persons to avoid the extremes of modalism and tritheism. More significantly it would lead one to think that there were three essences in the one common essence of the Godhead as was with the teaching of Johannes Philoponus[3], leading to latent or explicit tritheism.  Lewis’s cube example is also problematic- for one thing a cube is a seventh thing in addition to its six sides, but God cannot be thought of as a fourth thing in addition to his triune nature (Murray and Rea, 2012). 

The Psychological Model

Looking to the human mind or “psyche” has also been sought to help understand the doctrine of the Trinity. Augustine proposed that the oneness and threeness of the Godhead is like the oneness and threeness of the human self. Augustine claimed the oneness of the Father, Son and Holy Spirit is like the oneness of the mind (thoughts), heart (emotions) and will of a person. Augustine therefore holds we cannot have intellectual insight of the Trinity directly and that the created human mind which is made “in the image and likeness of God” as seen in Genesis 1:26–28, is a reflection of the Trinity. More extensively the mind is seen as somehow corresponding to the Father, Son and Holy Spirit in the following ways:

“lover, loved object, the lover's love for that object

the mind, its knowledge, its love

the mind's remembering itself, understanding itself, and willing itself

memory, understanding, and will

the mind's remembering God, understanding God, and willing God

existing, knowing that one exists, loving the fact that one exists” (Tuggy 2016).

These are taken to be pictures of the Trinity, the last three being more accurate, however when it comes to representing God Augustine holds them to be “immeasurably inadequate” (Tuggy 2016).

There is a major problem with Augustine’s line of thought- the Father, Son and Spirit are three distinct persons, not three distinct aspects of one person. The mind, heart and will are three aspects of the human soul, the three of the Trinity are distinct yet inseparable, the same yet different.

As Adolf Harnack, has said on the matter, “we can see that Augustine only gets beyond modalism by the mere assertion that he does not wish to be a modalist, and by the aid of ingenious distinctions between different ideas” (Harnack,1976). Furthermore, Harnack draws attention to the fact Augustine held the view that the Godhead is personal and is consequently one person, being unable to overcome the contradiction in affirming the three persons in one essence at the same time (Harnack,1976).

Thomas V. Morris argues for an analogy with the Trinity in multiple personality disorder. Humans can have multiple personalities so the thought is that God can also be one yet exist in three persons. Others claim that the separate spheres of consciousness which derive from commissurotomy offer an analogy. This involves the cutting of the corpus callosum which is the way the two hemispheres of the brain communicate. Those who undergo the surgery under certain conditions, demonstrate characteristics which suggest they have two distinct spheres of consciousness which relate with the two hemispheres of their brain.  This analogy is used to demonstrate that just as a single human can have two distinct spheres of consciousness, God too can be three persons in one each of which is a distinct sphere of consciousness (Murray and Rea, 2012).

What merit there is in being able to present real-life cases to help solve the logical problem of the Trinity must be dismissed as this understanding will lead to either latent or explicit modalism. In both examples given there is multiple personalities or spheres of consciousness within one person, but these personalities and spheres are not co-existent, rather they are mere manifestations. With multiple personality disorder the different personalities are all temporary, each one ending as a different one emerges, and with the distinct spheres of consciousness they only emerge temporarily under certain experimental conditions. This would lead us to understand the Trinity as merely three successive manifestations of God, which is modalism[4], the co-existence, and co-inherence of the divine persons in one another required for the Trinity not being met with this model. Another interpretation is that each of the hemispheres sustains its own stream of consciousness, co-existing with one another. This would lead to latent or explicit tritheism as the consciousness would be separate from one another, despite being grounded in one person, whereas the persons of the Trinity are inseparable yet distinct.  

The Constitution Model

Another solution proposed is that of relative sameness. This claims that “things can be the same relative to one kind of thing, but distinct relative to another. More formally:

"Relative Sameness: It is possible that there are x, y, F, and G such that x is an F, y is an F, x is a G, y is a G, x is the same F as y, but x is not the same G as y” (Murray and Rea, 2012).

If true one could say that the Father, Son and Spirit are one God but distinct persons. Advocates have suggested that “reflection on cases of material constitution for example statues and the lumps of matter that constitute them, help us see how two things can be the same material object but otherwise different entities” (Murray and Rea, 2012). If true one can utilise this to see how the Father, Son and Spirit are one God yet three distinct persons (Murray and Rea, 2012).

The common example is the Bronze statue The Thinker. It is a single material object, yet is also a statue, meaning it can be described as both a statue and a lump of bronze which are two distinct things. “For example, if the statue were melted down, we would no longer have both a lump and a statue: the lump would remain though in a different shape, but Rodin's Thinker would no longer exist” (Murray and Rea, 2012).  This suggests an intuition that the lump is distinct from the statue, as they do not have to coexist. It is therefore possible that two distinct things are within the same region of space-time at the same time. This is used as an analogy to the Trinity as the Father, Son and Spirit are taken to be one God but distinct persons the same way “a statue and its constitutive lump are the same material object but different form-matter compounds” (Murray and Rea, 2012).

As Daniel Molto has concluded in his defence of a logic of strong relative identity, there has to be a utilization of logic “in which absolute, universally reflexive, identity does not occur as a primitive and cannot be introduced by definition” (Molto, 2017). This leads to a rejection of “the relation of identity, and in particular giving up Leibniz’s Law. It is also necessary to give up on any semantic account, which attaches absolutely individuated values to terms. This means giving up the possibility of genuine singular reference” (Molto, 2017). 

“The fundamental problem with the appeal to relative identity, however, is that relative identity is widely seen as problematic” (Craig and Moreland, 2003). For one thing one cannot give an example “other than the Trinity where allegedly relative identities cannot be analysed in terms of classical identity" (Craig and Moreland, 2003). With the example of the Thinker statue there is not an identity statement at all, for the Thinker is not literally a lump of Bronze rather it has a property of bronze. It is also the case that the lump of bronze is more fundamental than the statue, persisting whatever shape the bronze assumes whereas the statue will not. This entails that the statue is a manifestation of one kind of the underlying reality, hence the example is inadequate for providing a model of the Trinity. Furthermore, “suppose that two things x and y could be the same N but could not be the same P. In this case x could not fail to be the same P as x itself, but y could. Therefore, x and y are discernible meaning they cannot be the same thing. This means that they cannot be the same N, since they cannot be the same anything- identity must therefore be absolute” (Craig and Moreland, 2003). 

Theologically there are issues too as it commits one to a part-whole relation (also problematic for Lewis’s social Trinitarianism) within the Trinity wherein no one person is identical to the whole Trinity (Craig and Moreland, 2003). This therefore entails the claim that no one person of the Trinity is fully God. As already presented though co-inherence and incorporation entail just this claim and give explanation for scriptures identifying each person as the other. This gives the basis for the Eleventh Council of Toledo affirming ‘‘Each single person is wholly God in Himself,’’ the Athanasian Creed ‘‘to acknowledge every Person by himself to be God and Lord,’’ and the Fourth Lateran Council that ‘‘each of the Persons is that reality, viz., that divine substance, essence, or nature . . . what the Father is, this very same reality is also the Son, this the Holy Spirit” (Craig and Moreland, 2003).

A key example from the scriptures is Colossians 2:9 which says “in Him dwells all the fullness of the Godhead bodily” indicating the Son is therefore the fullness of the Godhead (God himself), the fullness here denoting God’s very essence, which is his substance. This refers not just to the entirety of the triune God, but all that the triune God “is, has, does, knows, can do, has done, has obtained, has accomplished, and has attained” (Lee, 1987). As the divine Trinity is the fullness of the Godhead this makes Christ the mystery of God (Lee 1983), confirmed in Colossians 2:2 which says, "The mystery of God, Christ". He is the mystery of the Word of God in eternity past as seen in John 1:1 which says, “In the beginning was the Word, and the Word was with God and the Word was God”. This word of God became flesh, divinity and humanity joined to form a God-man, the mysterious divinity being brought into humanity, the mysterious fullness of the Godhead which dwells bodily in this mysterious God-man (Lee,1963) being far beyond the comprehension of human reason, and ability of a philosophical model to capture.

[1] See similarity to the tritheism of Johannes Philoponus as described previous blog post
[2] See corresponding discussion part 3 for theological issues with this approach
[3] See similarity to the tritheism of Johannes Philoponus as described previous blog post
[4] See corresponding discussion of modalism previous blogpost

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