paradoxically
  (ad.)似非而是地
  Par·a·dox·ic·al a.
  1. Of the nature of a paradox.
  2. Inclined to paradoxes, or to tenets or notions contrary to received opinions.
  -- Par*a*dox*ic*al*ly, adv. -- Par*a*dox*ic*al*ness, n.
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  paradoxically
       adv : in a paradoxical manner; "paradoxically, ice ages seem to
             occur when the sun gets hotter"