Symbolic Logic Can you figure out the values of the following below? Why or why not 1. (H ≡≡ A) ⊃J (G ≡≡ B) 2. ~ (X· G) For each of the following pairs of sentences below, indicate whether (1) is a sufficient condition for (2), a necessary condition for (2), both, or neither 3. (I) Amy is not a student. (2) Amy is neither a student nor a teacher. 4. (1) John loves Mary. (2) Someone loves Mary.
The Answer to the Question
is below this banner.
Here's the Solution to this Question
1. We cannot figure out since the truth values of all components are unknown so we cannot deduce a relation
2. We cannot figure out since the truth values of both components are unknown
3. It is neither a sufficient condition nor a necessary condition. This is so because the non-existence of condition (1) does not guarantee the non-existence of condition (2) hence it is not a necessary condition and also the existence of condition (1) does not guarantee the truth of condition (2) hence it is not a sufficient condition
4. It is a sufficient condition since the existence of condition (1) guarantees the truth of condition (2).