Final answer:
From the given logical statements, we can infer a circle of implications that lead to option A) N ⊃ L being correct, since if any one statement is true, the others must also be true.
Step-by-step explanation:
When faced with a set of logical statements such as L⊃M / M⊃N / N⊃L and an additional statement L v N, we can infer the relationship between the items. In this case, the question asks what can be inferred from these premises. Let's break down the given information:
- L⊃M means if L is true, then M is true.
- M⊃N means if M is true, then N is true.
- N⊃L means if N is true, then L is true.
- L v N means L is true or N is true (or both).
From these statements, we can infer a circle of implications where L implies M, M implies N, and N implies L. This makes L, M, and N equivalent in the sense that if any one of them is true, they all must be true. Consequently, choice A) N ⊃ L is correct because N implying L is part of the circle of implications. Options B) L v N is already given as part of the problem statement, C) M ⊃ L is not directly supported by the given statements, and D) L ⊃ N is the opposite of what is given and is not what we are trying to infer.