For sure, and it's that point of tautology which most metaphysics doesn't understand. In the traditions of metaphysics, the necessity of self-defintion is usually treated as either incoherent or incomplete. Say, for example, that mind and body are independently defined and parallel, and you are accused of not explaining "how" either can possibly be. Idealism, reductionism and correlationism all deny the tautology of self-defintion. Logic significance on its own, without something else, without us, without a presence of God in terms of existence, is considered
nonsensical. At every turn, the challenge: "But how God ?" is issued. God in-itself is rejected. In a sense, the correlationist metaphysical tradition is the
hardest form of atheism there has ever been. For them, God must always be given in something else, in us, in some finite state, rather than just being its own thing. For the correlationist metaphysician, we actually have to bring God into being, to bring the presence of God by imagining it, else that infinite isn't there or is incoherent.
The point here is
tautology is significant. It is not, as the correlationist metaphysicians would have us think, meaningless. It's it
own positive significance. In understanding the tautology, we intuit or imagine the necessary meaning. I know, for example, that I am Willow and you are John, without becoming confused by metaphysic impossibilities, such that I am really John too (e.g. solipsism), that I'm not really Willow (e.g. evil trickster demons) or that there are really no such people as Willow or John (e.g. nihilism, the "hard problem" ).
If there were no experiencers; which there were arguably not prior to the advent of any animal or human life; would God nonetheless have infinite experience? You say the question makes no sense, that it is logically possible that an entity without extension could have experience any more than it is logically possible that it could have existence. I say we just cannot conceive what that existence and experience could be is all, since we are finite creatures and our logic is necessarily a logic of finitude. — John
In the sense God experiences (i.e. the infinite), for sure. God is not limited to knowing one or a few things in one distinct experience at time. God is infinite, all at once, without any pause or distinction. It, by definition, cannot be a distinction of existing experience.
You aren't wrong that one cannot conceive infinite experience as anything in particular. That's the point. To be infinite is to defy being anything in particular. We cannot conceive what this experience or existence would specifically
because the nature of the infinite is to be beyond such limits. There is literally no infinite to know in those terms. Your objection there is a "mystery," that somehow a hidden limit or distinct within the infinite, is incoherent. The infinite doesn't do such limits.