Asked by Azreen Azahari on May 13, 2024
Verified
If both disjuncts of a disjunction are self-contradictions, then the disjunction itself is a:
A) tautology
B) self-contradiction
C) contingency
D) coherency
E) unable to determine from the information given
Disjuncts
The separate elements or options in a disjunctive proposition, any of which can make the entire proposition true.
Disjunction
A logical operation yielding a true value if at least one of its propositions is true.
- Apprehend the logical outcome generated by a statement via the analysis of its component parts (tautology, self-contradiction, or contingency).
Verified Answer
DC
Dan Christian AltineMay 18, 2024
Final Answer :
B
Explanation :
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.
Learning Objectives
- Apprehend the logical outcome generated by a statement via the analysis of its component parts (tautology, self-contradiction, or contingency).
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