1 O LORD, you have searched me and known me.
2 You know when I sit down and when I rise up;
you discern my thoughts from far away.
3 You search out my path and my lying down,
and are acquainted with all my ways.
4 Even before a word is on my tongue,
O LORD, you know it completely.
5 You hem me in, behind and before,
and lay your hand upon me.
6 Such knowledge is too wonderful for me;
it is so high that I cannot attain it.
7 Where can I go from your spirit?
Or where can I flee from your presence?
8 If I ascend to heaven, you are there;
if I make my bed in Sheol, you are there.
9 If I take the wings of the morning
and settle at the farthest limits of the sea,
10 even there your hand shall lead me,
and your right hand shall hold me fast.
23 Search me, O God, and know my heart;
test me and know my thoughts.
24 See if there is any wicked way in me,
and lead me in the way everlasting.
Being known completely is, in the end, hopeful. Along the way, it may be refining like a fire, and only the truly intrepid keep themselves mindful of it, but knowing you are known "all the way down" is salvation at its uttermost. In this way knowing, remembering, and redeeming seem to be somewhat equivalent terms.
And as verse six reminds us, the sheer wonder of it means we will not attain it, but again, in hope, it isn't necessary that we understand fully how we are fully known, but only trust that it is so, and stand in awe.