The Greek adjective anexeraunētos is a compound of an- (not), ex (out), and eraunaō (to search out, investigate), meaning that which cannot be traced out, searched through, or fully comprehended. It occurs once in the New Testament (Romans 11:33) in Paul's doxology concluding his treatise on Israel and salvation.
Romans 11:33 — 'Oh, the depth of the riches of the wisdom and knowledge of God! How unsearchable his judgments, and his paths beyond tracing out!' — is Paul's eruption of wonder after eleven chapters of dense theological argument about God's sovereignty in salvation. Anexeraunētos does not mean that God is unknowable — the entire letter of Romans is Paul's knowledge of God — but that God's wisdom infinitely exceeds human comprehension. Job encountered this at the whirlwind (Job 38–41). The Westminster Confession's opening definition ('God alone is perfectly free in all His being') reflects this theological humility. Doxology — not despair — is the proper response to God's incomprehensibility.