contrary vs counterfactual

contrary

adj
  • Opposed; contradictory; inconsistent. 

  • Opposite; in an opposite direction; in opposition; adverse. 

  • Given to opposition; perverse; wayward. 

noun
  • One of a pair of propositions that cannot both be simultaneously true, though they may both be false. 

  • The opposite. 

adv
  • Contrarily 

counterfactual

adj
  • Contrary to known or agreed facts; untrue. 

  • Of or in comparison to a hypothetical state of the world. 

noun
  • A conditional statement in which the conditional clause is false. 

  • A claim, hypothesis, or other belief that is contrary to the facts. 

  • A hypothetical state of the world, used to assess the impact of an action. 

How often have the words contrary and counterfactual occurred in a corpus of books? (source: Google Ngram Viewer )