Asked by Bronwyn Jones on Jul 14, 2024
Verified
If the consequent of a conditional is a tautology, then the conditional itself is a:
A) tautology
B) self-contradiction
C) contingency
D) coherency
E) unable to determine from the information given
Conditional
Involving or implying a condition in logic or mathematics, often expressed in "if... then..." statements that assert the dependency of one event or outcome on another.
Tautology
In logic, a statement that is true in every possible interpretation or a redundant expression that doesn't add informational value.
- Examine the impact of binary logical operations (and, or, conditional, biconditional) across a spectrum of statement types.
- Evaluate the truthfulness of a statement based on the truth values of its components.
Verified Answer
RP
Renita PerezJul 17, 2024
Final Answer :
A
Explanation :
If the consequent is a tautology, it is always true. Therefore, the conditional must be true regardless of the truth value of the antecedent, making it a tautology.
Learning Objectives
- Examine the impact of binary logical operations (and, or, conditional, biconditional) across a spectrum of statement types.
- Evaluate the truthfulness of a statement based on the truth values of its components.