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Paradox should have a paradoxical definition, but not all apparent contradictions are paradoxical, nor are all absurdities.  The paradox in paradox is found in its conflicting meanings: a truth seemingly absurd; a self-falsifying statement; anyone or anything apparently contradictory or inconsistent.  Contradiction seems to happen mostly with words (or concepts) belonging to the same generic or hyperonym, as in »A circle is a square« (the inclusive term being »figure«). Inserting an epithet or equivalent may dissipate the inconsistency:  »A circle is a planed-down square.«  
 
  
 
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