A tautology is a compound proposition that is:a.Always trueb.Always falsec.Either true or falsed.Neither true nor falseClear my choice
Question
A tautology is a compound proposition that is:
a. Always true
b. Always false
c. Either true or false
d. Neither true nor false
Clear my choice
Solution
Correct Answer
- Definition of Tautology: A tautology is a compound proposition that is always true, regardless of the truth values of its individual components.
Explanation
- Analysis of Options:
- Option a (Always true): This accurately describes a tautology. For example, the statement (p or not p) is always true.
- Option b (Always false): This describes a contradiction, not a tautology.
- Option c (Either true or false): This describes a contingent statement, which can be true or false depending on the truth values of its components.
- Option d (Neither true nor false): This does not apply to logical propositions; every proposition is either true or false.
Conclusion
- Final Answer: The correct answer is a. Always true.
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