Originally posted by telerion
I know that you have some training in mathematics so I'm pretty sure you know what I mean when I say "support." I mean the framework over which the attributes of God have definition.
I have this analogy floating in my head of a real-valued vector, V, in T(x) that only takes say positive values, where x is the number of attributes (probably infinite). ...[text shortened]... nges things. You know more philosophy than I do though, so I suppose you'll help me out.
There are some limitations with the vector analogy, but let's run with it a while.
From the perspective of Thomistic metaphysics, there are no negative values, no complex values. It's just being vs. non-being (i.e. zero). You cannot have "negative being" or "imaginary being" (well you can, but not in the sense of 'imaginary' numbers!)
This is where the analogy breaks down. In V(x), you would be thinking about (I'm thinking) x 'unit' vectors to span the space (I know that's not entirely necessary, but it is the most intuitive solution). You would then be thinking about multiples of those vectors.
In Thomism, one goes about it the other way (in a manner of speaking) around. One begins with God who is infinite in every direction and all other beings would possess
limitations with respect to God.
Nevertheless, I think an answer to your question about "support" can be provided in this context. In T(x), what is the
necessary element to define the space? I would say those are the unit vectors themselves. Every other vector would be 'contingent' on those. The unit vectors themselves don't need further support.
(Some of that might be a bit incoherent because I'm trying to simultaneously keep the metaphysics in mind.)
Analogously, God, as a necessary being, does not require a support. In a sense, he defines the entire space of Being.
An additional complexity here is that God, in Thomism, is utterly simple; i.e. he does not have an infinite number of attributes (unlike, I think, Spinoza's conception) - there is just the one. Whether we speak of God's mercy, or His justice, or His goodness, or His power - we are referring to the same attribute. It is named differently in so far as a particular manifestation resembles this or that human activity or conception but, in reality, it is the same attribute.
(This is vistesd's cue to say something about the name of God from the burning bush - "I AM".)
Don't know if that answers your question but, if it doesn't, I'll give it another shot.