incompleteness vs inexistence

incompleteness

noun
  • The state or condition of being not complete. 

inexistence

noun
  • The state of not being, not existing, or not being perceptible. 

  • The state of existing in something 

  • That which exists within; a constituent. 

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