cross-purpose vs nonsensicality

cross-purpose

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

nonsensicality

noun
  • A nonsensical belief, remark, etc. 

  • The state or condition of being nonsensical. 

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