inanity vs inexistence

inanity

noun
  • The property of being inane, of lacking material of interest or satisfaction, emptiness. 

  • Something that is inane. 

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 inanity and inexistence occurred in a corpus of books? (source: Google Ngram Viewer )