absurdity vs cross-purpose

absurdity

noun
  • That which is absurd; an absurd action; a logical contradiction. 

  • The quality of being absurd or inconsistent with obvious truth, reason, or sound judgment. 

cross-purpose

noun
  • A contrary or conflicting purpose or understanding, especially an unintentional or misconceived one. 

How often have the words absurdity and cross-purpose occurred in a corpus of books? (source: Google Ngram Viewer )