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From: Webster's Revised Unabridged Dictionary (1913)

 Com·plex·i·ty n.; pl. Complexities
 1. The state of being complex; intricacy; entanglement.
    The objects of society are of the greatest possible complexity.   --Burke.
 2. That which is complex; intricacy; complication.
 Many-corridored complexities
 Of Arthur's palace.   --Tennyson.