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The Collaborative International Dictionary
Bafflingness

Baffling \Baf"fling\ (b[a^]f"fl[i^]ng), a. Frustrating; discomfiting; disconcerting; as, baffling currents, winds, tasks. -- Baff"ling*ly, adv. -- Baff"ling*ness, n.

Wiktionary
bafflingness

n. The characteristic of being baffling; mysteriousness.