contradictory vs incommensurable

contradictory

noun
  • Either of a pair of propositions, that cannot both be true or both be false. 

adj
  • That contradicts something, such as an argument. 

  • That is diametrically opposed to something. 

  • That is itself a contradiction. 

  • Mutually exclusive. 

  • Tending to contradict or oppose, contrarious. 

incommensurable

noun
  • An incommensurable value or quantity; an irrational number. 

adj
  • Not able to be measured by the same standards as another term in the context. 

  • having a ratio that is not expressible as a fraction of two integers. 

  • having no common integer divisor except 1. 

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