self-contradictory vs paradoxical

self-contradictory and paradoxical both are adjectives.

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

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

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

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