Final Answer:
The logically equivalent statement to p - g is ¬p ∨ g.
Step-by-step explanation:
In logic, the symbol ¬ represents "not," ∨ represents "or," and - represents "implies." The given statement is p - g, which can be translated into "p implies g." The logical equivalent of this statement can be found by applying the definition of implication.
The definition of implication states that p - q is equivalent to ¬p ∨ q. In this context, it means "if p is false or g is true, then p implies g." Therefore, the logically equivalent statement to p - g is ¬p ∨ g.
Let's break it down further. The negation of p, denoted as ¬p, represents "not p." The disjunction (∨) is inclusive, meaning either ¬p or g (or both) must be true for the statement ¬p ∨ g to be true. This captures the essence of "p implies g" because if p is false (¬p is true) or g is true, then the implication holds true.
In summary, the logical equivalent of p - g is ¬p ∨ g, capturing the essence of the implication relationship between p and g in the given statement.