fallacy vs mix-up

fallacy

noun
  • An argument, or apparent argument, which professes to be decisive of the matter at issue, while in reality it is not; a specious argument. 

  • Deceptive or false appearance; that which misleads the eye or the mind. 

mix-up

noun
  • A confusion, mistake, muddle or misunderstanding 

How often have the words fallacy and mix-up occurred in a corpus of books? (source: Google Ngram Viewer )