contradiction vs inconsistency

contradiction

noun
  • A logical inconsistency among two or more elements or propositions. 

  • A statement that contradicts itself, i.e., a statement that claims that the same thing is true and that it is false at the same time and in the same senses of the terms. 

  • The act of contradicting. 

  • A proposition that is false for all values of its propositional variables or Boolean atoms. 

inconsistency

noun
  • An incompatibility between two propositions that cannot both be true. 

  • The state of being inconsistent. 

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