antilogy vs antinomy

antilogy

noun
  • A contradiction in related terms or ideas. Usually an inconsistency in syllogisms, of a person or group supposedly of one set of ideals. 

antinomy

noun
  • Any contradiction or paradox. 

  • In the thought of the German philosopher Immanuel Kant (1724–1804): an apparent contradiction between valid conclusions; a paradox. 

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