[1] : The Collaborative International Dictionary of English v.0.48

paradoxical \par`adox"ical\ pa^r`.ado^ks"i^kal, a.
   1. of the nature of a paradox.
      1913 webster

   2. inclined to paradoxes, or to tenets or notions contrary to
      received opinions. --southey.
      1913 webster -- par`adox"ically, adv. --
      par`adox"icalness, n.
      1913 webster
see also:
par`adox"ically par`adox"icalness 

[2] : WordNet (r) 2.0

paradoxically
     adv : in a paradoxical manner; "paradoxically, ice ages seem to
           occur when the sun gets hotter"

Paradoxically >> P Words
Paradoxically, definition of term: Paradoxically
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