illogicality       
noun [ C or U ]  formal uk/ɪˌlɒdʒ.ɪˈkæl.ə.ti/ us/ɪˌlɑː.dʒɪˈkæl.ə.t̬i/
 不合逻辑
the quality of not being reasonable, wise, or practical, or of not following a plan or system that has been carefully thought about
  He was apparently unaware of the illogicality of his statement. 他显然没有意识到自己的陈述不合逻辑。 
 the illogicalities of English spelling 英语拼写里有悖逻辑的地方 
 See: illogical
 - More examples
 - They refused to give in to anger created by illogicality and irresponsible journalism.
 - She took the court to task for the illogicality of its reasoning.
 - The legislation embodies numerous illogicalities and anomalies.
 - There were so many illogicalities in his argument I could hardly follow it.