illogical
adjective uk/ɪˈlɒdʒ.ɪ.kəl/ us/ɪˈlɑː.dʒɪ.kəl/
不合逻辑的，无缘由的;不明智的
not reasonable, wise, or practical, usually because directed by the emotions rather than by careful thought
It is an illogical statement, because if one part is true, then the other must be false. 这个说法不合逻辑，因为如果一部分是对的，那么另一部分肯定是错的。