People have the tendency to answer this question in one of two ways: Some of us tend to treat God like he is knowable and near. Others see God as far off and incomprehensible. The interesting thing is that he is both!
Scripture does reveal that God can never fully be known. The Psalmist tells us that “Great is the LORD, and greatly to be praised, and his greatness is unsearchable,” (Psalm 145:3). Paul adds to this idea, observing that “the Spirit searches everything, even the depths of God,” and later notes that, “no one comprehends the things of God except the Spirit of God” (1 Corinthians 2:10-12). David further emphasizes this when he says that, “Such knowledge is too wonderful for me; it is high, I cannot attain it” (Psalm 139:6; cf. 17). This idea is ultimately summed from the very mouth of God,
For my thoughts are not your thoughts, neither are your ways my ways, declares the LORD. For as the heavens are higher than the earth, so are my ways higher than your ways and my thoughts than your thoughts (Isaiah 55:8-9).
Although God cannot be known completely, we can know true things about him. For example, we know that God is love (1 John 4:8), God is light (1 John 1:5), God is spirit (John 4:24), and that God is just or righteous (Romans 3:26). These aspects of God have been revealed to us in Scripture. However, more than mere facts can be known about God.
- “Thus says the LORD: ‘Let not the wise man boast in his wisdom, let not the mighty man boast in his might, let not the rich man boast in his riches, but let him who boasts boast in this, that he understands and knows me, that I am the LORD who practices steadfast love, justice, and righteousness in the earth. For in these things I delight, declares the LORD.'” (Jeremiah 9:23-24).
Scripture tells us that we can know more than facts about God – we can actually know him as a personal being! Even more, what this passage tells us is that our source of joy should come from knowing God and not from our riches, wisdom, or might. Another significant passage comes from the Gospel of John, “Now this is eternal life: that they may know you, the only true God, and Jesus Christ, whom you have sent,” (John 17:3). John later writes in his epistle, “I write to you, children, because you know the Father,” (1 John 2:13). God can be known, and in knowing God we should take great joy, for by knowing God, we can pray to him, hear him, and commune in his presence.
See main article: http://www.theopedia.com/Knowability_of_God
Theopedia 
Great post Aaron! I was just reading something last night goes along with this somewhat. I think your post helped make even more sense of it:
“One of the more obvious effects [of your view of God and hermeneutics] arises through differences in people’s ideas of rationality. Typically people who reject the Trinity do so on account of its alleged irrationality, and substitute for it a rationalistic conception of God, tailored to the expectations of fallen man. Man’s fallen reason becomes the measure of what God can or cannot be. And then, of course, one can expect human reason to lord it over the interpretation of the words and works of God as well.”
“By contrast, in Trinitarian theology we confess both the incomprehensibility of God, due to his infinity, and his knowability due to his revelation of himself both in Scripture and in the world (Romans 1:18-23). This signals both the accessibility of truth and the incomprehensibility of the totality of truth, and prepares the way for approaching interpretation in a rational, but not rationalistic, way.” (>>)
Again, good stuff.