It is recognized that God is infinite: he is in fact called the Infinite One. But he is called infinite because he is infinite. He is not infinite simply because he is intrinsically essential reality and manifestation, but because there are infinite things in him. An infinite being without infinite things within it would be infinite in name only.
The infinite things in him should not be called “infinitely many” or “infinitely all,” because of our earthly concepts of “many” and “all.” Our earthly concept of “infinitely many” is limited, and while there is something limitless about our concept of all,” it still rests on limited things in our universe. This means that since our concept is earthly, we cannot arrive at a sense of the infinite things in God by some process of shifting it to a higher level or by comparison. However, since angels enjoy spiritual concepts they can surpass us by changing to a higher level and by comparison, though they cannot reach infinity itself.
Anyone can come to an inner assurance about the presence of infinite things in God—anyone, that is, who believes that God is a person; because if God is a person, he has a body and everything that having a body entails. So he has a face, torso, abdomen, upper legs, and lower legs, since without these he would not be a person. Since he has these components, he also has eyes, ears, nose, mouth, and tongue. He also has what we find within a person, such as a heart and lungs and the things that depend on them, all of which, taken together, make us human. We are created with these many components, and if we consider them in their interconnections, they are beyond counting. In the Divine-Human One, though, they are infinite. Nothing is lacking, so he has an infinite completeness.
We can make this comparison of the uncreated Person, who is God, with us who are created, because that God is a person. It is because of [his being a person] that we earthly beings are said to have been created in his image and in his likeness (Genesis 1:26, 27).
from Divine Love and Wisdom, Sections 17, 18