Can a sentence be both true and false in the same sense? - Dialetheism
It might seem nonsensical until one sees the liar’s paradox:
This sentence is false.
Using classical logic, this sentence seems to be both true and false. Due to the explosion rule, that implies every sentence. This is absurd, but philosophers don’t agree on what has gone wrong here.
Dialetheism is the solution that accepts that it is both true and false and modifies logic to exclude the principle of explosion
Nothing you said is true.
This is a very well known sentence that leads to things like Gödel’s Incompleteness Theoreom.
If you don’t enjoy the philosophy of logic, that’s fine, but don’t go saying a very famous sentence is improper English.