An oxymoron is essentially just a contradiction. Something like deafening silence. It’s a figure of speech.
A paradox is a logical problem that no matter how you spin it it never makes sense. Like Pinocchio saying my nose will grow.
Edit: after being told not all paradoxes are like this.
Paradox revamp:
A logical problem that seems completely absurd and illogical but can if looked into further be completely correct.
Latest Answers