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The negation of a tautology is a:a.Tautologyb.Contradictionc.Contingencyd.None of the aboveClear my choice

Question

The negation of a tautology is a:

  • a. Tautology
  • b. Contradiction
  • c. Contingency
  • d. None of the above

Clear my choice

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Solution

The negation of a tautology is a contradiction.

Here's why:

A tautology in logic is a statement that is always true, regardless of the truth values of its components. For example, the statement "It is raining or it is not raining" is a tautology because it is always true, whether it is raining or not.

When you negate a tautology, you get a statement that is always false, regardless of the truth values of its components. In logic, a statement that is always false is called a contradiction.

So, the negation of a tautology is a contradiction. Therefore, the answer is b. Contradiction.

This problem has been solved

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