Neither statement can be true OR false. If statement A is true, statement B is true, which means statement A is false. To simplify, if statement A is true, statement A is false.
“This statement is false” can be neither true nor false. That is the most basic paradox there is.
I don’t think that “nuh-uh! Uh-huh!” Rises to the level of a paradox.
The phrases can be contradictory without being paradoxical. It’s only a paradox if both of the phrases are true at the same time.
You have understood nothing.
Neither statement can be true OR false. If statement A is true, statement B is true, which means statement A is false. To simplify, if statement A is true, statement A is false.
“This statement is false” can be neither true nor false. That is the most basic paradox there is.