I don’t think you’ve quite clocked it. It’s not that one of the statements has to be wrong, because that’s just a point in the cycle. If A is wrong, then B is right, which means A is right, which means B is wrong, which means A is wrong and the cycle begins anew.
They aren’t wrong, they’re contradictory. There is no logical way to parse the two statements together. That’s what a paradox is.
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.
The problem with that particular paradox is that it’s not possible. Therefore one of the statements has to be wrong.
I don’t think you’ve quite clocked it. It’s not that one of the statements has to be wrong, because that’s just a point in the cycle. If A is wrong, then B is right, which means A is right, which means B is wrong, which means A is wrong and the cycle begins anew.
They aren’t wrong, they’re contradictory. There is no logical way to parse the two statements together. That’s what a paradox 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.