Consider Statement A.
Statement A: "Statement A is not true."
Is Statement A true?
Statement A is not true. Argument 1 explains why.
Argument 1:
SUPPOSE Statement A is true.
Then the proposition that Statement A states is true.
But Statement A states that Statement A is not true.
So, Statement A is not true, contrary to our initial supposition.
So, IN FACT, Statement A is not true.
Unfortunately, Statement A can't be not true either.
Argument 2:
2.1 SUPPOSE Statement A is not true.
2.2. Then the proposition that Statement A states is not true.
2.3 But Statement A states that Statement A is not true.
2.4 So Statement A is not not true, contrary to our initial supposition.
2.5 So, IN FACT, Statement A is not not true.
Your mind should be blown. You should not be saying, "That's puzzling." You should be saying, "My mind is exploding."
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