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 condi[1]tion 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.
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).
Comments
Leave a comment