Ambiguity makes room for both awareness and unawareness of God to exist simultaneously. Given that God is by nature infinite, even knowing everything there is to know about Him leaves infinitely more to discover. That God remains veiled in mystery enhances awe and humbles any spiritual pride. Thus worship in this vein concentrates less on trying to understand God and more on encountering Him. Tolerance of ambiguity influences preaching as exhortation takes priority over education, and passion proves more persuasive than reason.
Tolerance of ambiguity shows up in other ways, too.
The assumption seems to be that no one denomination or tradition has it exactly right. Everyone needs to learn from each other. High church traditions and their preserved links to ancient church practice maintain mystery and ambiguity. Consequently, crosses, icons, candles, and colors are dusted off and returned to center stage. Their proven constancy as metaphors for Christian truth amid cultural change lend depth and meaning.