Question
Consider the following sentences:
(a) River Song is an archaelogist from the future.
(b) The number 7 is even
Based on these two sentences, which of the following is true?
A. (a) entails (b)
B. (b) entails (a)
C. (a) entails (b) and (b) entails (a)
D. There is no relationship (neither sentence entails the other)
Question
Consider the following sentences:
(a) River Song is an archaelogist from the future.
(b) Either River Song is alive or she is not.
Based on these two sentences, which of the following is true?
A. (a) entails (b)
B. (b) entails (a)
C. (a) entails (b) and (b) entails (a)
D. There is no relationship (neither sentence entails the other)
Again -- what do you think?
1) D. no relationshop
2)A. (a) entails (b)???
I think you're right on both, yes!
To determine the relationship between the sentences, we need to understand the concept of entailment. In logic, entailment refers to the relationship between two sentences where the truth of one sentence logically guarantees the truth of the other.
For the first question:
(a) River Song is an archaeologist from the future.
(b) The number 7 is even.
To determine the relationship, we can see that sentence (a) has no connection or logical implication to sentence (b). Being an archaeologist from the future does not imply anything about the evenness of the number 7. Therefore, the correct answer is D. There is no relationship between the two sentences.
For the second question:
(a) River Song is an archaeologist from the future.
(b) Either River Song is alive or she is not.
In this case, we can see that sentence (b) can be inferred from sentence (a). If River Song exists as an archaeologist from the future (a), it logically implies that the statement about her existence or non-existence (b) must be true. However, sentence (a) does not necessarily imply the reverse. Therefore, the correct answer is A. Sentence (a) entails sentence (b).