God is utterly other than us—other in a way we express with the word holiness. Yes, He dwells within each Christian, but He’s not you. He isn’t the same as you, He isn’t a part of you, and He isn’t a “higher” you.
Yes, you’re made in His image, but you’re not Him. You’re not the same as Him, you’re not a part of Him, and you aren’t a “splinter” of Him—nor will you ever be. He doesn’t depend on anything else because He is what everything else depends on. He can’t be explained by anything else because He is what everything else must be explained by. Although we can know what He has taught us about Himself, we can never comprehend Him completely because He is greater than our minds. Anything He wills, He can do. He not only holds supreme power but He also uses it. Nothing can defeat Him and nothing can happen contrary to His will. He is also supremely good—light with no darkness. Although evil is real, He detests it and brings it to judgment. He knows everything, He pays attention to everything, and nothing escapes His notice. He’s not just a What and a Who, like me or like you, but one What in three Whos—one God in three persons: Father, Son, and Holy Spirit. There is no one like Him. He is set apart. He is what He is, and there was never a time when He was not.
— J. Budziszewski, from How to Stay Christian in College, p. 35