Breaking The Law

Let's say the sentence "the law of noncontradiction is true" is a true sentence.

I guess its negation is false: "the law of noncontradiction is false."

But heck, according to the Münchhausen trilemma we can't know anything the way we want to so let's just see what happens if the sentence "the law of noncontradiction is true" is false.

I guess its negation, "the law of noncontradiction is false," would be true.

If the law of noncontradiction is false, then propositions and their negations can be simultaneously true and false. Additionally, if the law of noncontradiction is false, then propositions and their negations can't be simultaneously true and false.

If the sentence "the law of noncontradiction is false" is true, then the law of noncontradiction does not prohibit the sentence "the law of noncontradiction is true" from being false. It also does. If the sentence "the law of noncontradiction is true" is false, then there is a possibility that the sentence "the law of noncontradiction is true" is true as well. There also isn't.

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