A paradox is a something self-referential which leads to a logical impossibility. The classic paradox is the Grandfather Paradox, you build a time machine to go back in time to murder your grandfather. Having achieved this your parents and you are never born, so you never build a time machine, never go back in time and never murder your grandfather. So… you are born, you do build…
… you get the idea.
An oxymoron is just a word or phrase that can be interpreted as illogical or inherently contradictory. A great modern oxymoron is “Humblebrag” which combines two contradictory ideas, humility and bragging. Basically oxymorons are semantic, paradoxes are fundamental.
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