Friday, July 27, 2007

Discussion on Ockham

I've been contributing to a little conversation on Ockham's nominalism and belief in whether God could create a Picasso without Picasso.

http://usuphilosophy.com/2007/07/19/could-god-have-made-a-picasso/

Saturday, July 21, 2007

Scotus against Henry's view that the divine essence is a substratum

[This is my promised rewrite of the last post on Scotus, Ord. 1.5.2un nn. 72-74.]

Recently, Jeffrey Brower and Michael Rea have used a model of material constitution to explain the trinity (I have written before on this). One of the most distinctive features of their proposal is that it construes the divine essence as the substratum of the divine persons rather than as the generic nature of the divine persons. Around 600 years before Brower and Rea, Henry of Ghent proposed a very similar theory. A number of subsequent theologians followed Henry on this particular issue, and Henry's position may have survived were it not for the sharp criticisms of Scotus and Ockham. In any case, in this post I'd like to discuss Henry's position, and an objection by Scotus which I find particularly interesting.


Aristotle on Change and Production

Last week the tomatoes in my garden were green, but this week, after a few days of good sun, they are red. How should we explain this? Should we say that last week I had green tomatoes, but this week those green tomatoes have been replaced (perhaps by tomato fairies) with entirely new red tomatoes? Aristotle would say that's absurd. The red tomatoes are the same tomatoes as the green tomatoes. All that's happened is that the tomatoes have lost the quality of being green and acquired the quality of being red.

According to Aristotle then, things change by acquiring and/or losing various qualities. The entity underlying those qualities (in this case, the tomatoes), which Aristotle calls the 'substratum' or 'subject', does not itself change. The substratum persists throughout the change (e.g., the tomatoes persist throughout the change from green to red), so what changes are the qualities the substratum has (e.g., the change is between the qualities being green and being red).

While this account seems quite straight forward when it comes to explaining how things like tomatoes change from green to red, it might not seem so obvious when we look at the change involved in production. When x produces y, aren't we talking about producing something rather than just changing a substratum's qualities? Aristotle insists that although production is a different kind of change than the mere qualitative change we find in ripening tomatoes, there is still, at least in the case of material production, a substratum involved.

For example, when a sculptor produces a bronze statue, the sculptor is still working with a substratum, namely a lump of bronze. The sculptor does not produce the bronze. Rather, the sculptor arranges the bronze into the shape of the statue, so here too the substratum, the bronze, undergoes a change in its qualities: before the sculptor sets to work, the bronze does not have the quality of being a statue, but by the act of production, the bronze acquires the quality of being a statue. (For Aristotle, qualities like being a statue or of a different kind than qualities like being red, but that doesn't concern me here.)

This highlights the central place of materiality in Aristotle's conception of production. Things are made from various kinds of material, and this means that when something produces a product, the product is produced from some material. If I can use the phrase 'made from' in a fairly imprecise way, walls are made from bricks, hands are made from flesh and blood, light is made from energy, and so forth. Thus, on this Aristotelian view of production, we can talk about things coming from various kinds of material, just as we do when we say a statue is produced from bronze.

Notice that talking about what something is produced from is not the same thing as talking about who or what something is produced by. In the example of a bronze statue, the statue is produced from bronze, but it is produced by a sculptor. We can put this in relational terms. The statue is related to the sculptor by the relation is produced by. That is, the statue is produced by x, where x is the producer. Likewise, the statue is related to the bronze (the material) by the relation is produced from y, where y is the material. Let me call the relation is produced by 'RP' (for the Relation to the Producer), and let me call the relation is produced from 'RM' (for the Relation to the Material).

The distinction between RP and RM is important, because it can help us avoid ambiguity when we talk about the source or origin of a product. If we ask, 'where did x come from?', we might be asking about the producer, or we might be asking about the material. Imagine a masonry site where one of the beefier masons goes by the nick name 'Bricks'. One can picture all sorts of silly situations caused by a failure to distinguish between bricks as a material and Bricks as a producer. For example, if the foreman were to give the pay clerk a note reading 'Bricks: £500', the clerk might take this to mean that he should purchase £500 worth of bricks, when in fact he was meant to pay Bricks £500.


Henry of Ghent

Henry of Ghent finds this material view of production very useful when it comes to explaining how the Father produces the Son. The reason is that Henry does not want to say that the Father conjures up the Son out of nothing. If the Son were produced like that, the Son would be an entirely new God, entirely different from the Father, and then there would be two Gods. Consequently, Henry wants to say the Father produces the Son from something already there. On the Aristotelian view of production, a production does involve something that's already there, namely the substratum. If I produce a wall from bricks, I do not produce the bricks, for the bricks already exist. Instead, I just shape the wall out of the bricks. The bricks persist throughout the entire process.

Transferring this over to the divine case is fairly straightforward. The Father's substance, the divine essence, plays the role of the material or the substratum, such that the Father produces the Son out of his own substance. In this way, the Son is related to the Father by RP (since the Son is produced by the Father), and the Son is related to the Father's substance, namely the divine essence, by RM (since the Son is produced from the Father's substance). Imagine if a lump of clay, magically endowed with the power to change its shape, were to arrange itself into the shape of a statue. This would be roughly like what Henry has in mind. The Father (the lump of clay) shapes the Son (the statue) out of his own substance.

Obviously, talking of 'shaping' the Son out of the Father's substance is a crude way of putting the matter. Henry does not mean to say the divine essence is literally the material stuff out of which the Son is made in exactly the same way that bricks and clay are the material stuff out of which walls and statues are made. Bricks and clay are arrangeable stuff, and we make walls by arranging bricks wall-wise just as we make statues by arranging clay statue-wise. The divine essence is not arrangeable stuff like this, so Henry is not literally saying the Father arranges the divine essence Son-wise.

All Henry means to say is that the Son is related to the divine essence by RM. That is, Henry just means to say the Son is from the Father's substance (which is the divine essence). Perhaps it is better to think about this in terms of instantiation. The material or substratum of a product is that which instantiates the product, not the other way around. Walls are instantiated by bricks and statues are instantiated by clay, not the other way around. Likewise, the Son is instantiated by the divine essence, not the other way around. Thus, Henry sometimes describes the divine essence less precisely as the 'quasi material' of production, and he sometimes describes it more precisely as the substratum of production.

In any case, this account gives Henry the conditions he wants: the Son is not conjured up out of nothing, since he is produced from the divine essence. Additionally, the divine essence persists throughout the whole process as the substratum, so the Father and Son both share the numerically same substratum. Consequently, we don't end up with two Gods, just as we don't end up with two clays when a lump of clay makes up a statue.

As was suggested above, Henry's account of the Son's production gives us a clear picture of how he understands RP and RM for the Son. The Son is related to the Father by RP, and he is related to the Father's substance, the divine essence, by RM. When I ask who or what the Son is produced by, the answer is 'the Father'. When I ask what the Son is produced from, the answer is 'the divine essence'.


Scotus's View

Henry's argument is clearly aiming to do justice to the traditional Nicene claim that the Son is produced from the Father's substance. Scotus rightly sees that what Henry wants to do is show how the Son can be produced from the Father's substance (and, by consequence, not from the Son's or Spirit's substance). Unfortunately, Scotus thinks Henry's position faces some serious difficulties. In fact, Scotus thinks that when it comes to the production of the Son, we should avoid talk of RM and material production altogether.

Scotus first shows that on Henry's view, we have to say the divine essence belongs more to the Father than to any other person. Otherwise, the Son will be produced from the substance of each divine person (rather than from the substance of the Father, as the traditional view has it). The idea is that if we take the divine essence to be equally the substratum or substance of each divine person, then we have no more reason to say the Son is produced from the Father's substance than from the Son's or Spirit's substance.

Let me try to explain this with an analogy. Imagine if a sculptor made a statue from a lump of gold jointly owned by Caesar and Cleopatra. If we asked what the statue was produced from, we could not legitimately say it was produced from Caesar's gold, because the gold is just as much Cleopatra's as it is Caesar's. Unless the gold in some way belongs more to Caesar than to Cleopatra, we really have to say the statue is produced from the gold of both Caesar and Cleopatra, since it is owned equally by each of them.

Of course, a gold lump belonging to Caesar and Cleopatra makes use of the notion of ownership, and this isn't the sort of thing occurring in the trinity. The divine persons do not 'own' the divine essence. Rather, the divine essence belongs to the divine persons in an ontological sense. So let's look at another example that gets us a little closer to what's happening in the trinity.

Consider a possible world where the only material stuff is clay. In such a world, lumps and statues can only be made out of clay, so in the case where a lump of clay is also a statue, the clay belongs just as equally to the clay as it belongs to the statue. In this scenario, we have no more reason to say the clay is the lump's clay than we would to say it is the statue's clay. The clay is just as much the lump's clay as it is the statue's clay. There is no sense in which we could say the statue comes from the lump's clay, because we could just as properly say the statue comes from its own clay. If we want to legitimately say the statue comes from the lump's clay (but not from the statue's clay), the clay would have to belong more to the lump than to the statue.

Similarly, if the divine essence is just as much the substance of the Father as it is the substance of the Son and Spirit, then there is no more reason to say the Son is produced from the Father's substance than to say the Son is produced from his own or the Spirit's substance. Unless there is some way in which the divine essence is more the substance of the Father than the substance of the Son or Spirit, we cannot say (as the traditional view has it) that the Son is produced from the Father's substance. Instead, we have to say the Son is produced equally from the substance of each divine person.

This is clearly incompatible with the traditional claim (which both Henry and Scotus accept) that the Son is produced from the Father's substance, not from the Son's or Spirit's substance. In order to avoid this problem, Henry needs to find some way of establishing that the the divine essence belongs more to the Father than it does to the other persons. Only then will it be legitimate to say the Son is produced from the Father's substance but not from the Son's and Spirit's substance.

One way to do this might be to appeal to some kind of quasi temporal priority: before the Son is produced, there is only the Father, so the Father is the sole exemplification of the divine essence until the production of the Son. This would ensure that the Son is produced only from the Father's substance and not from the Son's and Spirit's substance.

Unfortunately, this strategy is a non-starter because the Son is co-eternal with the Father. Consequently, at any 'moment' in which the divine essence is the substance of the Father, the divine essence will also be the substance of the Son. To call on our clay statue example yet again, imagine if some clay were eternally both a lump and a statue. Even if we say the clay is the producer of the statue, there is no 'moment' at which we could say the clay belongs to the lump but not to the statue.

Since quasi temporal priority won't work, Henry needs to establish some kind of ontological priority, some kind of priority which always holds. That is, Henry needs to find a way to say the divine essence is always more the Father's substance than the Son's and Spirit's substance. Only then will it be true that the Son is produced from the substance of the Father in a way in which it will not be true that the Son is produced from his own substance and the Spirit's substance.

The obvious way to do that would be to say the Father just is the divine essence. In other words, we could say the Father is entirely identical with the divine essence. On this view, the divine essence would always properly be the substance of the Father, not the substance of the Son. Then it would be true that the Son is produced from the Father's substance but never from his own substance, since the Son does not have 'his own substance', he only has the Father's substance.

But again, this strategy runs into difficulties. Recall the earlier example of a lump of clay which forms itself into the shape of a statue. The lump of clay is like the Father, and the statue is like the Son. Notice that the Son shares all the properties of the Father (the properties of the clay), but the Son has some properties which the Father does not (the properties of the statue). In the divine case, this is a problem, because one of the Father's properties is being unproduced, while one of the Son's properties is being produced. If the Son shares all the Father's properties, then the Son would have the properties being unproduced and being produced, and that's impossible.

Henry would not, then, want to say the divine essence is entirely identical to the Father, because then the Son would share all the Father's properties. Instead, we need to distinguish the divine essence from the Father in some way so as to allow the Father to have some properties (or at least one property) of his own which no other divine person shares. At the same time, if we also want to avoid the conclusion that the Son is produced from the substance of all three persons, we still need to find some way to say the divine essence belongs more to the Father than it does to the Son and Spirit.

The problem with such a strategy is that it seems to be a textbook case of subordinationism. If the divine essence belongs, however we want to define 'belongs' here, more to the Father than to the Son and Spirit, then the Father and Son possess the divine essence less than the Father does. It's hard to see how this wouldn't be subordinationism.

Consequetnly, Scotus thinks we should reject the first step Henry makes: we should reject the move to construe the divine essence as the substratum of the divine persons. For Scotus, the divine essence is not the substratum of the divine persons, it is more like the common form of the divine persons. Scotus's view is undoubtedly harder to understand or visualize, but Scotus believes that the arguments I've discussed here give him a solid reason to reject Henry's view that the divine essence is the substratum or substance of the three divine persons.

Monday, July 16, 2007

Scotus, Ord. 1.5.2un nn. 72-74

Here is a very brief and very rough summary of one of Scotus's arguments against Henry's view that the divine essence is the material term of generation. I hope to polish this up and explain it much better and more clearly, but for now I had to get my thoughts down before they disappeared from my brain forever.

Henry argues that in the Son, the whole Son is the primary term of generation, the personal property being a son is the secondary term of generation, and the divine essence is the material term of generation. Against this, Scotus offers the following argument (my loose translation):


[Ord. 1.5.2.un n. 72] Further, a second argument against the principle claim [of Henry that the divine essence is the material term of the Son's production]. It is necessary to assign some being to the [divine] essence as it is that from which the Son is generated, because to be the causal basis of some true entity, in whatever genus of causal basis, does not belong to anything except a real entity.

[n. 73] Therefore, I ask what sort of being belongs to the essence as it is 'that from which the Son is generated' (by an impression). Either it is (a) precisely being ad se, which is the being of the essence qua essence – and then the Son is from the essence qua essence, and in this way he is from the three persons – or (b) it belongs to it to be in some subsistent [person]. And then I ask: in which subsistent [person]? If it is (i) the ingenerate Father, then in this case the notion of 'the being from which something is produced' will include the notion of 'the being in which a form is induced', and since the notion 'the being in which' here includes 'to have that which is in it', by consequence [it will include the notion of] 'being formally by itself'. Thus, if the essence as it is in the Father is that from which the Son is generated (by an impression, according to Henry), it follows that that very essence as it is in the Father will be that in which the generated knowledge is imprinted, and then the essence as it is in the Father will formally be the Word (or, to put it another way, the essence will be in a state of knowing generated knowledge), which is incompatible [with Henry's view]. But if (ii) the essence as it is in some subsistent [person] other than the Father is that from which the Son is generated, then in as much as it is 'that from which', a term of generation will proceed from it in some way, and then there are two subsistent [persons] after the term of generation, which is inappropriate.

[n. 74] If you say the essence 'in as much as it is that from which the Son is generated' has no existence in the person, just as matter 'in as much as it is that from which a generated thing is generated' does not have being in some suppositum but rather only has being in potency to the generating suppositum, this strengthens nothing. The reason is that, as was said, it is necessary to attribute some real being to the causal basis of some entity, in whatever genus of causal basis. For this reason, although the being of the composite which matter possesses by participation in the composite does not belong to matter, some being properly belongs to matter which is naturally prior to the being the matter possesses as a part of a composite. And therefore here it is necessary to give to the essence 'in as much as it is that from which the Son is generated' some being, and that must be either the being of a suppositum or the being of the essence according to itself, so the argument stands.

This typically dense passage by Scotus is one of Scotus's best arguments against Henry's view that the divine essence is the material term of production.

Scotus begins with the claim (n. 72) that

(T1) A real product requires a real causal basis.

Talk of 'real' in this context means 'existing'. The idea is that if no cause exists, then no effect will exist. This much seems uncontroversial. Any product is a product only because it bears the relation 'is produced by x', where x is a producer. Thus, without a producer x, there cannot be the relation 'is produced by x'.

Scotus further adds that this applies to any genus of causal basis. That is,

(T2) For any kind of causal basis, (T1) applies.

This particular claim may be more controversial. Consider the statement 'the vacuum caused the marble and the feather to fall at the same speed'. Here the vacuum is the causal basis for the marble and the feather falling at the same speed, but everybody would agree that a vacuum is nothing at all. The vacuum is not some existing cause, it is rather just a condition. Thus, certain kinds of causal bases, for example certain kinds of conditions, fail (T2).

Scotus is undoubtedly thinking of a causal basis along Aristotelian lines, and thus the only kinds of causal bases he has in mind are efficient, final, formal, and material. And of course in this case the causal basis in question is the material cause. We can easily avoid the problem by replacing (T2) with:

(T2') For any material causal basis, (T1) applies.

Scotus then moves on to play out the implications of (T1) and (T2) for Henry's theory. Scotus is taking issue with Henry's claim that

(H1) The divine essence is the material causal basis for the production of the Son.

Henry is here explaining the sense of 'from' in the Nicene creed's statement that the Son is produced 'from the substance of the Father'. For Henry, when we say the Son is from the Father's substance, we mean the divine essence plays the role of matter in the Son's production, and thus the Son is 'from' the matter (divine essence) in the same way that a generated thing in the created realm is generated 'from' matter. For example, I can make a wall from bricks. In a similar way, Henry says the Father produces the Son from the divine essence. In Henry's technical vocabulary, the matter of a produced wall bears a relation 'being the material from which' to the producer, and this sort of relation obtains for the divine essence as it is in the Son.

Against this, Scotus applies (T1) and asks: what sort of existence does the causal basis have? In the case of divine production, we are dealing with the divine essence. There are only two kinds of existence for the divine essence: (a) existence ad se, or (b) existence in a suppositum. That is, we can talk about how the divine essence (a) exists on its own, or how it (b) exists in a particular person.

Scotus tackles (a) first. His argument rests on the claim that divine essence, qua essence, exists equally in all three persons, without any limitation to a particular person. Thus:

(T3) The divine essence qua essence is common to all three persons.

Recall that we are trying to identify x in the Son's relation 'is from material x'. If x is the divine essence qua essence, then the Son will bear the relation 'is from' to all three persons. And this leads to the circular consequence that the Son bears the relation 'is from material x' to part of himself.

So that's out. Scotus then moves on to (b), the claim that the divine essence is the divine essence as it exists in a particular person. He then asks: which person? Either it is (i) the Father, or (ii) some other person.

It can't be (ii), because then we'd have the Father, the produced Son, and some other person, which is incompatible with the claims of trinitarian dogma.

But what about (i)? To this, Scotus argues that if we accept (i), then we have to conclude that the Son is produced in the Father. Since the divine essence is the matter of the Father as much as it is the matter of the Son, then the divine essence as it is in the Father will both found the relation 'is from material x' and the relation 'inheres in material x'. In other words, the divine essence as it is in the Father will both elicit the Son's form and receive the Son's form. And Scotus points out that if something is both the material and the form, it is formally existent on its own.

This much itself doesn't seem problematic. For example, I can take a lump of clay and make a statue out of it. The statue is both the material from which the statue is made, and the material in which the statue's form is received. And imagine a lump of clay which had the power to form itself into different shapes. It could form itself into a statue, and the same state of affairs would apply without any external agents.

[Edit: Scotus's point must be that the Son is not formally existent on his own. That's what the Father is. The Son is produced, not formally self-existent.]

However, for Henry, the Father is the divine essence existing in a state of knowing nothing but the simple divine essence. The Father's intellect can then look back on itself, see what it is knowing, and then produce a concept of that. This concept is then imprinted on the divine essence, and so the divine essence in the state of knowing this produced knowledge is the Word (the Son). And here is where Henry gets into trouble. As Scotus points out, if the same divine essence is the subject of both simple knowledge and generated knowledge, then the divine essence will either be the Father or the Word. It can't be both.

Finally, Scotus raises a possible objection. In created things, we don't say that the matter of a product exists. It is simply in potency to the producer. Likewise, in the case of God, we don't say the divine essence exists (in the Son before the Son is produced), we simply say it is in potency to receive the form of the Son. But Scotus finds this objection insufficient. Even in the case of material beings, we still have to say that matter has some being before it comes to exist in a composite. Likewise, in the divine case, the divine essence has to exist in the Father before it comes to exist in the Son.