paradoxical

As an adjective paradoxical

is having self-contradictory properties.

As a noun antagonist is

antagonist (all senses).

As adjectives the difference between metaphysical and paradoxical

is that metaphysical is of or pertaining to metaphysics while paradoxical is having self-contradictory properties.

As adjectives the difference between heterodox and paradoxical

is that heterodox is of or pertaining to creeds, beliefs, or teachings, especially religious ones, that are different from the norm ('orthodox'), but not sufficiently different to be called heretical while paradoxical is having self-contradictory properties.

As adjectives the difference between paradoxical and impossible

is that paradoxical is having self-contradictory properties while impossible is not possible; not able to be done or happen.

As a noun impossible is

an impossibility.

As adjectives the difference between counterintuitive and paradoxical

is that counterintuitive is contrary to intuition or common sense while paradoxical is having self-contradictory properties.

As adjectives the difference between paradoxical and sophisticated

is that paradoxical is having self-contradictory properties while sophisticated is having obtained worldly experience, and lacking ; cosmopolitan.

As a verb sophisticated is

(sophisticate).

As adjectives the difference between paradoxical and obscure

is that paradoxical is having self-contradictory properties while obscure is dark, faint or indistinct.

As a verb obscure is

(label) to render obscure; to darken; to make dim; to keep in the dark; to hide; to make less visible, intelligible, legible, glorious, beautiful, or illustrious.

As adjectives the difference between paradoxical and convoluted

is that paradoxical is having self-contradictory properties while convoluted is having numerous overlapping coils or folds.

Ambiguous is a related term of paradoxical.

As adjectives the difference between ambiguous and paradoxical

is that ambiguous is open to multiple interpretations while paradoxical is having self-contradictory properties.

As adjectives the difference between paradoxical and irony

is that paradoxical is having self-contradictory properties while irony is of or pertaining to the metal iron.

As a noun irony is

a statement that, when taken in context, may actually mean something different from, or the opposite of, what is written literally; the use of words expressing something other than their literal intention, often in a humorous context.