Well for the most part Western theology has turned god into an abstract object with properties. But the same is not in the East, especially with the mystical theology of the Eastern Orthodox Church. They hold that since God caused existence, He is not among the class of existing things. Pseudo-Dionysius, contrary to Plotinus, attempts to make the case that it is misleading to call God a being, or even a "supreme" being. God surpasses the distinction between being and non-being. Therefore it makes no sense, Pseudo-Dionysius thought, to treat God as a being to be proven to exist. This is very counter intuitive for the West (generally), but the East tends to be cool with allowing God's essence to remain incomprehensible altogether.
Most argument for/against the existence of god assume a Western metaphysical framework, partly due to the theologies/philosophies of Scholasticism. The East tends not to give a damn about such arguments, which, from the very little I've read, they see as artificial devices.