Herewith, some notes on Chapter 2 of William E. Mann, God, Modality, and Morality (Oxford UP, 2015), "Divine Simplicity." I have been invited to review the book for Faith and Philosophy. This entry, then, by way of warm-up. For an introduction to the topic of divine simplicity, see my Stanford Encyclopedia of Philosophy entry.
One of the entailments of the classical doctrine of divine simplicity (DDS) is that God is what he has. (Augustine, The City of God, XI, 10.) Thus God has omniscience by being (identical to) omniscience. And similarly for the other divine attributes. The Platonic flavor of this is unmistakable. God is not an all-knowing being, but all-knowing-ness itself; not a good being, or even a maximally good being, but Goodness itself; not a wise being or the wisest of beings, but Wisdom itself. Not a being among beings, not an ens among entia, but self-subsistent Being (esse) itself. (Aquinas: Deus est ipsum esse subsistens.) To our ordinary way of thinking this sounds like so much nonsense: how could anything be identical to its attributes? Something that has properties is eo ipso distinct from them. Is that not obvious? But on another way of thinking, DDS makes a good deal of sense. How could God, the absolute, self-sufficient reality, be just one more wise individual even if the wisest? God is better thought of as the source of all wisdom, as Wisdom itself in its prime instance. Otherwise, God would be dependent on something other than himself for his wisdom, namely, the property of being wise. There is more on motivation in my SEP entry. I will say no more here about motivation. This post is for those who accept or are inclined to accept DDS but are worried about how rational sense can be made of it.
As Mann points out, the Platonic approach as we find it is the Augustinian and Anselmian accounts of DDS leads to difficulties a couple of which are as follows:
D1. If God = wisdom, and God = life, then wisdom = life. But wisdom and life are not even extensionally equivalent, let alone identical. If Tom is alive, it doesn't follow that Tom is wise. (23)
D2. If God is wisdom, and Socrates is wise by participating in wisdom, then Socrates is wise by participating in God. But this smacks of heresy. No creature participates in God. (23)
Property Instances
Enter property instances. It is one thing to say that God is wisdom, quite another to say that God is God's wisdom. God's wisdom is an example of a property instance. And similarly for the other divine attributes. God is not identical to life; God is identical to his life. Suppose we say that God = God's wisdom, and God = God's life. It would then follow that God's wisdom = God's life, but not that God = wisdom or that wisdom = life.
So if we construe identity with properties as identity with property instances, then we can evade both of (D1) and (D2). Mann's idea, then, is that the identity claims made within DDS should be taken as Deity-instance identities (e.g., God is his omniscience) and as instance-instance identities (e.g., God's omniscience is God's omnipotence), but not as Deity-property identities (e.g., God is omniscience) or as property-property identities (e.g., omniscience is omnipotence). Support for Mann's approach is readily available in the texts of the doctor angelicus. (24) Aquinas says things like, Deus est sua bonitas, "God is his goodness."
But what exactly is a property instance? If the concrete individual Socrates instantiates the abstract property wisdom, then two further putative items come into consideration. One is the (Chisholmian-Plantingian as opposed to Bergmannian-Armstrongian) state of affairs, Socrates' being wise. The other is the property instance, the wisdom of Socrates. Mann holds that they are distinct. All states of affairs exist, but only some of them obtain or are actual. By contrast, all property instances are actual: they cannot exist without being actual. The wisdom of Socrates is a particular just as Socrates is and is concrete (in space and/or time) just as Socrates is. If we admit property instances into our ontology, then the above two difficulties can be circumvented. Or so Mann maintains.
Could a Person be a Property Instance?
But other problems loom. One is this. If the F-ness of God = God, if, for example, the wisdom of God = God, then God is a property instance. But God is a person. From the frying pan into the fire? How could a person be a property instance? I will display the problem as an inconsistent triad:
a. God is a property instance.
b. God is a person.
c. No person is a property instance.
Mann solves the triad by denying (c). (37) Some persons are property instances. Indeed, Mann argues that every person is a property instance because everything is a property instance. (38) God is a person and therefore a property instance. If you object that persons are concrete while property instances are abstract, Mann's response is that both are concrete. To be concrete is to be in space and/or time. Socrates is concrete in this sense, but so is his being sunburned. (37)
If you object that persons are substances and thus independent items while property instances are not substances but dependent on substances, Mann's response will be that the point holds for accidental property instances but not for essential property instances. Socrates may lose his wisdom but he cannot lose his humanity. Now all of God's properties are essential: God is essentially omniscient, omnipotent, etc. So it seems to Mann that "the omniscience of God is not any more dependent on God than God is on the omniscience of God: should either cease to be, the other would also." (37)
Mann's argument for the thesis that everything is a property instance involves the notion of a rich property. The rich property of an individual x is a conjunctive property the conjuncts of which are all and only the essential and accidental properties, some of them temporally indexed, instantiated by x throughout x's career. (38) Mann tells us that for anything whatsoever there is a corresponding rich property. From this he concludes that "everything is a property instance of some rich property or other." (38) It follows that every person is a property instance. The argument seems to be this:
A. For every concrete individual x, there is a corresponding rich property R. Therefore,
B. For every concrete individual x, x is a property instance of some rich property or other. Therefore,
C. For every concrete individual x, if x is a person, then x is a property instance.
I am having difficulty understanding this argument. The move from (A) to (B) smacks of a non sequitur absent some auxiliary premise. I grant arguendo that for each concrete individual x there is a corresponding rich property R. And I grant that there are property instances. Thus I grant that, in addition to Socrates and wisdom, there is the wisdom of Socrates. Recall that this is not to be confused with the abstract state of affairs, Socrates' being wise. From what I have granted it follows that for each x there is the rich property instance, the R-ness of x. But how is it supposed to follow that everything is a property instance? Everything instantiates properties, and in this sense everything is an instance of properties; but this is not to say that everything is a property instance. Socrates instantiates a rich property, and so is an instance of a property, but it doesn't follow that Socrates is a property instance.
Something is missing in Mann's argument. Either that, or I am missing something.
There is of course no chance that Professor Mann is confusing being an instance of a property with being a property instance. If a instantiates F-ness, then a is an instance of the property F-ness; but a is not a property instance as philosophers use this phrase: the F-ness of a is a property instance.
So what do we have to add to Mann's argument for it to generate the conclusion that every concrete individual is a property instance? How do we validate the inferential move from (A) to (B)? Let 'Rs' stand for Socrates' rich property. We have to add the claim that there is nothing one could point to that could distinguish Socrates from the property instance generated when Socrates instantiates Rs. Rich property instances are a special case. Socrates cannot be identical to his wisdom because he can exist even if his wisdom does not exist. And he cannot be identical to his humanity because there is more to Socrates that his humanity, even though he cannot exist wthout it. But since Socrates' rich property instance includes all his property instances, why can't Socrates be identical to this rich property instance? And so Mann's thought seems to be that there is nothing that could distinguish Socrates from his rich property instance. So they are identical. And likewise for every other individual.
But I think this is mistaken. Consequently, I think it is a mistake to hold that every person is a property instance.
Argument One: rich properties and haecceity properties
Socrates can exist without his rich property; ergo, he can exist without his rich property instance; ergo, Socrates cannot be a rich property instance or any property instance. The truth of the initial premise is fallout from the definition of 'rich property.' The R of x is a conjunctive property each conjunct of which is a property of x. Thus Socrates' rich property includes (has as conjunct) the property of being married to Xanthippe. But Socrates might not have had that property, whence it follows that he might not have had R. (If R has C as a conjunct, then necessarily R has C as a conjunct, which implies that R cannot be what it is without having exactly the conjuncts it in fact has. An analog of mereological essentialism holds for conjunctive properties.) And because Socrates might not have had R, he might not have had the property instance of R. So Socrates cannot be identical to this property instance.
What Mann needs is not a rich property, but an haecceity property: one that individuates Socrates across every possible world in which he exists. His rich property, by contrast, individuates him in only the actual world. In different worlds, Socrates has different rich properties. And in different worlds, Socrates has different rich property instances. It follows that Socrates cannot be identical to, or necessarily equivalent to, any rich property instance. An haecceity property, however, is a property Socrates has in every world in which he exists, and which he alone has in every world in which he exists. Now if there are such haecceity properties as identity-with-Socrates, then perhaps we can say that Socrates is identical to a property instance, namely, the identity-with-Socrates of Socrates.
Unfortunately, there are no haecceity properties as I argue elsewhere.
So I conclude that concrete individuals cannot be identified with property instances, whence follows the perhaps obvious proposition that no person is a property instance, not God, not me, not Socrates.
Argument Two: The Revenge of Max Black
Suppose we revisit Max Black's indiscernible iron spheres. There are exactly two of them, and nothing else, and they share all monadic and relational properties. (Thus both are made of iron and each is ten meters from an iron sphere.) There are no properties to distinguish them, and of course there are no haecceity properties. So the rich property of the one is the same as the rich property of the other. It follows that the rich property instance of the one is identical to the rich property instance of the other. But there are two spheres, not one. It follows that neither sphere is identical to its rich property instance. So again I conclude that individuals are not rich property instances.
If you tell me that the property instances are numerically distinct because the spheres are numerically distinct, then you presuppose that individuals are not rich property instances. You presuppose a distinction between an individual and its rich property instance.
This second argument assumes that Black's world is metaphysically possible and thus that the Identity of Indiscernibles is not metaphysically necessary. A reasonable assumption!
Argument Three: Love is of the individual qua individual, qua essentially unique. The revenge of Josiah Royce.
Suppose Phil is my indiscernible twin. Now it is a fact that I love myself. But if I love myself in virtue of my instantiation of a set of properties, then I should love Phil equally. For he instantiates exactly the same properties as I do. But if one of us has to be annihilated, then I prefer that it be Phil. Suppose God decides that one of us is more than enough, and that one of us has to go. I say, 'Let it be Phil!' and Phil says, 'Let it be Bill!' So I don't love Phil equally even though he has all the same properties that I have. I prefer myself and love myself just because I am myself. My Being exceeds my being a rich property instance.
This little thought-experiment suggests that there is more to self-love than love of the being-instantiated of an ensemble of properties. For Phil and I have the same properties, and yet each is willing to sacrifice the other. This would make no sense if the Being of each of us were exhausted by our being instances of sets of properties. In other words, I do not love myself solely as an instance of properties but also as a unique existent individual who cannot be reduced to a mere instance of properties. I love myself as a unique individual. And the same goes for Phil: he loves himself as a unique individual. Each of us loves himself as a unique individual numerically distinct from his indiscernible twin.
Classical theism is a personalism: God is a person and we, as made in the image and likeness of God, are also persons. God keeps us in existence by knowing us and loving us. God is absolutely unique and each of us is unique as, and only as, the object of divine love. The divine love penetrates to the very ipseity and haecceity of me and my indiscernible twin, Phil. God loves us as individuals, as essentially unique (Josiah Royce). But this is not possible if we are reducible to rich property instances.
I detect a tension between the personalism of classical theism and the view that persons are property instances.
The Dialectic in Review
One of the entailments of DDS is that God is identical to his attributes, such defining properties as omniscience, omnipotence, etc. This view has its difficulties, so Mann take a different tack: God is identical to his property-instances. This implies that God is a property-instance. But God is a person and it is not clear how a person could be a property instance. Mann takes the bull by the horns by boldly arguing that every concrete individual is a property instance -- a rich property instance -- and that therefore every person is a property instance, including God. The argument is found to be uncompelling for the three reasons given.
>>God is a person and therefore a property instance. If you object that persons are concrete while property instances are abstract, Mann's response is that both are concrete. To be concrete is to be in space and/or time. Socrates is concrete in this sense, but so is his being sunburned. (37)<<
Does this mean that God is in space and time?
Posted by: Josh | Monday, March 07, 2016 at 01:39 PM
I noticed this problem too, though I didn't mention it for the sake of brevity (the soul of blog).
Mann is committed by this particular argument to saying that God is in space and/or time. But I should think that a defender of DDS must hold that God is neither in space nor time.
Posted by: Bill Vallicella | Monday, March 07, 2016 at 03:24 PM