Final answer:
The logical statement (∼(Ga ∨ La) ∨ Ja) can be translated into the natural-sounding sentence "If it's neither raining nor sunny, then I will go jogging," assuming 'Ja' takes precedence.
Step-by-step explanation:
To translate the logical statement (∼(Ga ∨ La) ∨ Ja) into a natural-sounding sentence, let's first understand what each symbol represents. The symbol '∼' stands for 'not', '∨' stands for 'or', and 'Ga', 'La', and 'Ja' could represent any simple statements. For example, 'Ga' might stand for 'It is raining', 'La' for 'It is sunny', and 'Ja' for 'I will go jogging'.
Therefore, the given statement can be translated into the sentence: "It is not the case that it is either raining or sunny, or I will go jogging." If we want to make it sound even more natural, we could phrase it as "If it's neither raining nor sunny, then I will go jogging." This translation assumes that 'Ja' takes precedence over the negation and disjunction of 'Ga' and 'La', which is implied by the parenthesis.