Source : Webster's Revised Unabridged Dictionary (1913)

Worthless \Worth"less\, a. [AS. weor[eth]le['a]s.]
   Destitute of worth; having no value, virtue, excellence,
   dignity, or the like; undeserving; valueless; useless; vile;
   mean; as, a worthless garment; a worthless ship; a worthless
   man or woman; a worthless magistrate.

         'T is a worthless world to win or lose.  --Byron.
   -- {Worth"less*ly}, adv. -- {Worth"less*ness}, n.

Source : WordNet®

worthlessness
     n 1: having no qualities that would render it valuable or useful;
          "the drill sergeant's intent was to convince all the
          recruits of their worthlessness" [ant: {worth}]
     2: the quality of being without practical use