Paradoxical
Part of speech: adjective
Definition: Having self-contradictory properties.
Example sentence: It is paradoxical, yet true, to say, that the more we know, the more ignorant we become in the absolute sense, for it is only through enlightenment that we become conscious of our limitations. Precisely one of the most gratifying results of intellectual evolution is the continuous opening up of new and greater prospects.
Incomprehensible
Part of speech: adjective
Definition: impossible or very difficult to understand
Example sentence: There were trust issues with Hillary Clinton I couldn't get past, and there was this inflammatory rhetoric from Donald Trump, which to me was incomprehensible and indefensible.