Synonyms for Paradoxical:

adj.

absurd (adjective)
absurd, anachronistic, bizarre, contradictory, crazy, eccentric, fallacious, farcical, foolish, idiotic, illogical, implausible, impossible, inane, incongruous, inconsistent, invalid, irrational, ludicrous, meaningless, nonsensical, outlandish, preposterous, ridiculous, self-contradictory, senseless, silly.
all (adjective)
self-contradictory.
complex (adjective)
obscure.
conflicting (adjective)
incongruous, inconsistent, opposed.
contradictory (adjective)
opposite, reverse.
contrary (adjective)
contradictory.
difficult (adjective)
inexplicable.
ironic/ironical (adjective)
implausible, ridiculous.
questionable (adjective)
ambiguous.
satirical/satiric (adjective)
farcical.

n.

edgy, funny, idiosyncratic, strange, surreal, unreal, weird. conversely, opposed, opposite, otherwise, reverse, to the contrary, vice versa. contradictory (noun)
ambiguous, obscure.
paradoxical (noun)
incomprehensible, inexplicable, self-contradictory.

Other synonyms:

conversely, vice versa. opposed, otherwise. opposite. reverse. Other relevant words:
ambiguous, incomprehensible, inexplicable, obscure, opposed, opposite, otherwise, reverse, strange, weird.

Usage examples for paradoxical

  1. Yet, as another striking instance of the paradoxical nature of his character, he was intensely devoted to his wife. – A History of the Four Georges, Volume I (of 4) by Justin McCarthy
  2. By Eve's sin " death came into the world" for the paradoxical reason that she had eaten the food of the gods which gives immortality. – The Evolution of the Dragon by G. Elliot Smith
  3. " You are paradoxical said Mr. Harland, irritably. – The Life Everlasting: A Reality of Romance by Marie Corelli