God has no beginning or boundary
To say God is infinite means he is not limited as created things are. Mountains have height, oceans have shores, and human lives have a beginning and an end. Moses contrasts our short years with God’s everlasting life in Psalm 90:2 (KJV). God did not come into existence, and he does not depend on anything outside himself.
Isaiah pictures the vastness of creation, then asks who could measure its waters or mark out the heavens. The point is not that God has merely done a very large job. He is the Maker, and creation is never large enough to overwhelm or contain him (Isaiah 40:12, KJV).
Before the mountains were brought forth, or ever thou hadst formed the earth and the world, even from everlasting to everlasting, thou art God.
No place is beyond his presence
God’s infinity also means there is nowhere you can go where he is absent. David considers the heights of heaven, the depths, the sea, darkness, and the hidden places of life, and finds God present in all of them (Psalm 139:7-10, KJV). This is not a cold idea. It means loneliness, grief, travel, and uncertainty do not put you outside God’s reach.
Yet God is not simply identical with nature. Scripture says heaven and even the highest heaven cannot contain him (1 Kings 8:27, KJV). He is truly near to his world, but he is also greater than it.
Whither shall I go from thy spirit? or whither shall I flee from thy presence? If I ascend up into heaven, thou art there: if I make my bed in hell, behold, thou art there. If I take the wings of the morning, and dwell in the uttermost parts of the sea; Even there shall thy hand lead me, and thy right hand shall hold me.
His wisdom exceeds ours
An unmeasurable God will sometimes be beyond our ability to explain. Isaiah says God’s thoughts and ways stand far above ours (Isaiah 55:8-9, KJV). That does not mean questions are unwelcome. Scripture gives room for honest lament, searching, and prayer. But it does mean we should be careful not to make our present understanding the measure of what God can do or what he is like.
Paul reaches a similar response when he reflects on God’s wisdom and knowledge. He does not pretend to map every part of God’s purposes. He responds with awe (Romans 11:33, KJV). Humility here is not giving up thought. It is recognising that the creature cannot exhaustively grasp the Creator.
O the depth of the riches both of the wisdom and knowledge of God! how unsearchable are his judgments, and his ways past finding out!
Infinite does not mean unpredictable
God being unlimited does not mean he acts without character or contradicts himself. Scripture says God cannot deny himself (2 Timothy 2:13, KJV), and it says God cannot lie (Titus 1:2, KJV). His power is always the power of the God who is faithful, true, and good.
So God’s greatness need not make prayer feel pointless. Jesus teaches his followers that their Father knows their needs before they ask (Matthew 6:8, KJV). The God who cannot be measured is not too distant for ordinary people to approach. You can bring him the specific concern in front of you today, while trusting that his knowledge and care are larger than what you can see.