Final answer:
The formula (Av(G→H))→~(Av(G→~H)) is categorized as a conditional. This reflects the 'if-then' structure inherent to logical reasoning and valid deductive inferences. The option (D) is correct.
Step-by-step explanation:
The student is asking about the categorization of the logical formula (Av(G→H))→~(Av(G→~H)). This formula is an example of a conditional, as it has the form of 'if-then' represented by the arrow (→). The outermost part of the formula has the structure 'if P then Q', making it a conditional statement.
This is central to the conduct of valid deductive inferences in logical reasoning, specifically related to forms like modus ponens and modus tollens, which rely heavily on the properties of conditional statements. Therefore, option (D) is correct.