If both disjuncts of a disjunction are self-contradictions, then the disjunction itself is a:

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If both disjuncts of a disjunction are self-contradictions, then it means that both parts of the OR statement are false. In logic, a statement that is always false is called a contradiction or a self-contradiction. Thus, if we have two of them connected by an OR statement, the whole statement is also false, as there is no situation in which it would be true. Therefore, the disjunction itself is a self-contradiction.

If Both Disjuncts of a Disjunction Are Self-Contradictions, Then the Disjunction