Final answer:
In the context of logical analysis, a sentence that necessitates the truth of another involves conditionals expressing necessary and sufficient conditions. Completing 120 credit hours as a necessary condition for graduation is a quintessential example of such a logical structure in conditional reasoning.
Step-by-step explanation:
When one sentence necessitates the truth of another, this is often discussed in the realm of logical analysis and conditional reasoning. For instance, in the study of logic, a conditional is a logical statement that expresses a necessary and a sufficient condition, typically formulated as if-then statements. A necessary condition is one that must be true for the other statement to be true. In contrast, a sufficient condition ensures that if it is true, the related statement must also be true.
An example of the relationship between necessary and sufficient conditions can be clearly seen in the statement, "You must complete 120 credit hours to earn a bachelor’s degree." If we express this as a conditional: "If you expect to graduate, then you must complete 120 credit hours." Here, completing 120 credit hours is a necessary condition for graduation. The logical structure of conditionals helps us to understand the truth values of related statements through predicates, premises, and truth analysis. Without logical consistency, we can fall into errors such as the affirming the consequent or denying the antecedent fallacy.