paradoxical vs self-contradictory

paradoxical and self-contradictory both are adjectives.

Word	Noun	Adjective	Verb	Adverb
paradoxical	No	Yes	No	No
self-contradictory	No	Yes	No	No

As adjectives, paradoxical and self-contradictory are synonyms defined as:

paradoxical and self-contradictory: seemingly contradictory but nonetheless possibly true

paradoxical (adjective)	self-contradictory (adjective)
seemingly contradictory but nonetheless possibly true	in disagreement
	seemingly contradictory but nonetheless possibly true