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Can a sentence be both true and false in the same sense? - Dialetheism
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this post was submitted on 28 Oct 2024
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General Discussion
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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.
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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.