I have a question about a problem on one of the tests. It says:

If there is a spaceship then there will be an uprising.

There is not a spaceship.

1. There was a cover-up.

2. There will be no uprising.

3. There is an uprising.

4. None of the above.

I chose #4 because there could still be an uprising even if there was no spaceship. There is no "Only if" clause in the first premise to preclude it. But according to the answer key, the answer was #2. "There will be no uprising." The logic the given was:

"If A then B.

Not A.

Not B."

I think it is mistaken. For one, I do not see this formula in the prep material. The closest one is 'If A then B. Not B. Not A." But that is different. Furthermore, as the instructor on the video said: Nothing in the statement ‘If A then B’ indicates that all other avenues to B are excluded, e.g., ‘If C then B.’ ‘If D then B.’ etc. Am I missing something here or is the answer given by the site wrong? Any feedback would be appreciated. Thanks.

If there is a spaceship then there will be an uprising.

There is not a spaceship.

1. There was a cover-up.

2. There will be no uprising.

3. There is an uprising.

4. None of the above.

I chose #4 because there could still be an uprising even if there was no spaceship. There is no "Only if" clause in the first premise to preclude it. But according to the answer key, the answer was #2. "There will be no uprising." The logic the given was:

"If A then B.

Not A.

Not B."

I think it is mistaken. For one, I do not see this formula in the prep material. The closest one is 'If A then B. Not B. Not A." But that is different. Furthermore, as the instructor on the video said: Nothing in the statement ‘If A then B’ indicates that all other avenues to B are excluded, e.g., ‘If C then B.’ ‘If D then B.’ etc. Am I missing something here or is the answer given by the site wrong? Any feedback would be appreciated. Thanks.

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