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The Law of Non-contradiction is summarized by ~(p ^ ~p). What is the truth table for this law of logic?

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The Law of Non-contradiction is summarized by ~(p ^ ~p). What is the truth table for this law of logic?

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There is a touch of contradiction in the question. The “truth table” for the Law of Non-contradiction depends on the system you are using. In many systems, the Law of Non-contradiction is a tautology, or even an axiom, in which case it doesn’t really make sense to ask what its truth table is as it’s always true by virtue of being a tautology. Tberefore it only really makes sense to ask this question about systems in which the Law is not a tautology, and without knowing the system in question, the question cannot be answered.

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