guerrero25 wrote:
Vasily: My cat enjoys going outside if it is not raining and if the large feral tabby cat that lives in the alley is nowhere nearby. If it is raining, my cat does not enjoy going outside, save in one circumstance: if the white Siamese cat who lives across the street is around, my cat does enjoy going outside regardless.
Which of the following do the statements above most adequately support?
A. If the Siamese cat is outside, Vasily’s cat will ignore the large feral tabby.
B. If the large feral tabby is nearby, Vasily’s cat will not enjoy going outside.
C. If it is raining and Vasily’s cat is enjoying itself, then the large feral tabby must be nowhere nearby.
D. If Vasily’s cat is enjoying going outside and the large feral tabby is nowhere nearby, then either it is not raining or the white Siamese is around.
E. If Vasily’s cat does not enjoy going outside, then either the large feral tabby is nearby or it is not raining.
This is an "if" condition. "If" conditions are sufficient conditions, not necessary conditions.
If "not raining" AND "no tabby", Vasily's cat enjoys outside.
If raining, Vasily's cat does not enjoy outside, except if "Siamese is around".
If "Siamese around" and "raining/not raining", Vasily's cat enjoys outside.
These are sufficient conditions. In these 'A implies B' and 'Not B implies not A'.
A. If the Siamese cat is outside, Vasily’s cat will ignore the large feral tabby.
Vasily's cat's reaction is not known.
B. If the large feral tabby is nearby, Vasily’s cat will not enjoy going outside.
Not known. As discussed, these are sufficient conditions, not necessary.
In "if" conditions, A implies B. 'Not A' DOES NOT imply 'not B'.
We know that when it is not raining and the tabby is not around, Vasily's cat enjoys going out.
But what happens when the tabby is around, we do not know.
C. If it is raining and Vasily’s cat is enjoying itself, then the large feral tabby must be nowhere nearby.
If Vasily's cat is enjoying and it is raining, we know that Siamese must be out. But we cannot say anything about tabby.
D. If Vasily’s cat is enjoying going outside and the large feral tabby is nowhere nearby, then either it is not raining or the white Siamese is around.
If Vasily's cat is enjoying outside, then it is not raining. If it is raining, then the white Siamese must be around. So this holds.
E. If Vasily’s cat does not enjoy going outside, then either the large feral tabby is nearby or it is not raining.
Not correct. If Vasily's cat does not enjoy going outside, then either it is raining or the tabby is near or both.
Answer (D)