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
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.
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