Asked by Courtney Young on Jul 14, 2024
Verified
If both conjuncts of a conjunction are tautologies, then the conjunction itself is a:
A) tautology
B) self-contradiction
C) contingency
D) coherency
E) unable to determine from the information given
Conjuncts
Components of a larger logical structure or statement that are joined together by a conjunction, each of which is necessary for the truth of the whole.
- Distinguish between tautologies, contradictions, and contingencies based on truth tables.
Verified Answer
EC
Ebube chisom Young ucheJul 16, 2024
Final Answer :
A
Explanation :
A conjunction is true only if both of its conjuncts are true. If both conjuncts are tautologies, then they must be true in all possible scenarios. Therefore, the conjunction of two tautologies is also true in all possible scenarios, making it a tautology.
Learning Objectives
- Distinguish between tautologies, contradictions, and contingencies based on truth tables.
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