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Can a sentence be both true and false in the same sense? - Dialetheism
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It's not a logical issue because the sentence itself is nonsense. There's no information in it and isn't proper English. If you have to break a language to invent a paradox, then it likely isn't worthy of consideration to begin with.
There is information in it. Namely, that it itself is false. It is fully grammatical. Similar sentence are obviously valid such as:
This sentence has five words.
That is a true valid grammatical sentence.
I didn't invent the paradox. Philosophers have been contemplating this paradox for a long time.
The problem it gestures at is very deep and similar paradoxes showed up in the foundations of mathematics in the 20th century. It can't be dismissed easily.
@general
The sentence refers to a fact that can be true or false, but doesn't refer to any fact in and of itself. Nobody would ever use this sentence outside of grading papers. So the one sentence is grammatically incorrect because it refers to nothing. It's a waste of thought.
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.