If the statement below is logical, then is it true or false?
"Yields a falsehood when preceded by its quotation" yields a falsehood when preceded by its quotation.
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Assume A is true. Then what it states is correct. But what it states is that A is false.
Now assume A is false. Then what it states is incorrect. So since it claims that A is false, A cannot be false.
So it can't be either.