We like to figure things out, to have all the answers. But Paul tells us that when it comes to God's workings, some things are meant to remain beyond our full discovery.
Paul uses two powerful phrases to describe God's actions: 'unsearchable judgments' and 'ways past finding out.' 'Judgments' here refers to God's decisions, His decrees, and His plans, particularly as revealed in the salvation history he just outlined. These are 'unsearchable' – they cannot be fully investigated or comprehended by human minds. His 'ways' are His methods, His paths, the actual outworking of His plans. These are 'past finding out' or 'untraceable' – like footprints in the sea that vanish, leaving no discernible path. This isn't an excuse for ignorance or a license to stop thinking, but an invitation to humility. It means that while we can understand what God revealed about Himself and His plans, we must accept that there are depths to His thinking and His operations that are beyond our finite capacity.