1) Apparently self-contradictory 2) Incomprehensible 3) Inexplicable 4) Seemingly contradictory 5) Self-contradictory 1) Incomprehensible 2) Inexplicable 3) Ironic 4) Opposing 
• (a.) Inclined to paradoxes, or to tenets or notions contrary to received opinions. • (a.) Of the nature of a paradox.
occurring at variance with the normal rule.
Occurring at variance with the normal rule. ... (18 Nov 1997) ... 
Par`a·dox'ic·al adjective 1. Of the nature of a paradox. 2. Inclined to paradoxes, or to tenets or notions contrary to received opinions. Southey. -- Par`a*dox'ic*al*ly , adverb -- Par`a*dox'ic*al*ness , noun
[adj] - seemingly contradictory but nonetheless possibly true
paradoxical 1. Contrary to common opinion. 2. Apparently inconsistent with itself, or with reason, though in fact true; also, really inconsistent with reason, and so, absurd or irrational. 3. Exhibiting some contradiction with known laws or with itself; not in accordance with what is theoretically reasonable or possible; now said especially of natu...
self-contradictory adjective seemingly contradictory but nonetheless possibly true; `it is paradoxical that standing is more tiring than walking`
seemingly contradictory but nonetheless possibly true
[Literary terms] seemingly contradictory but nonetheless possibly true seemingly contradictory but nonetheless possibly true