Would you care to elaborate? What is "indexical knowledge" and why do you think God doesn't have it?
Basically, an indexical is a proposition or linguistic expression that can refer to different things in different contexts. For example, the proposition that my CF username is Crandaddy is indexical because its truth value depends on who's saying it; I'm the only person who can know that proposition because I'm the only person who can truthfully believe it. God can't know that my CF username is Crandaddy because God's CF username is not Crandaddy.
I also don't think God can have knowledge from the indexical perspective of now, because knowledge that pertains to now (such as what's happening right
now, or what time it is right
now) requires the knower to know from within the context of time, and I deny that God exists within time. To be clear, I don't deny that God knows all the circumstances of what we perceive as now, but I do deny that he knows them as temporally occurring right now, as we do.
What is "propositional knowledge" and why doesn't he have that?
A proposition is the content expressed by a statement that can be either true or false. It's not the statement itself, but rather the underlying meaning that the statement expresses. For example, the English statement it's raining and the German statement es regnet both express the same proposition because they both have the same meaning, and that meaning can be either true or false.
I don't think God's knowledge is propositional because propositions seem to be formed from concepts, and it seems those concepts are obtained by abstracting and learning them from the natural world. If God is immutable (as I say he is), then his knowledge can't change by learning anything, and so it follows that if propositional knowledge is always learned, then God can't have propositional knowledge.
Another reason is that propositional knowledge seems to me a derivative, and thus less-than-perfect, way of knowing things. An example might be the best way to explain what I mean here, so let's consider a tree (whatever kind you like, it doesn't really matter). How do we know that tree? We know it by forming concepts of it, and then by assembling those concepts into propositions
about the tree. So then how does God know that tree? Does he have knowledge of a Platonic horde of every possible true proposition
about the tree? To me, that just doesn't seem very plausible. It seems more plausible to say that rather than having knowledge
about the tree, God simply knows the tree itself -- directly, immediately, and comprehensively -- as if it were itself an idea in his mind. I think that when
we learn (i.e., form propositinal knowledge)
about the tree, what we're doing is forming our own ideas (via abstraction and conceptualization) from something that already has a sort of ideal nature in and of itself.
It seems to me that thinking always occurs by working through thoughts sequentially over time. If so, and if God doesn't exist in time, then God doesn't think. I don't think he needs to -- he just knows everything all at once in a single timeless instant.