Multiple Choice question about Proposition Logic

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The forum discussion centers on a multiple-choice question regarding Proposition Logic, specifically focusing on the correct answer, which is identified as option D. The user analyzes the implications of the sentences provided in the question, noting that options A and B do not logically follow. The user highlights the significance of the word "only" in options C and D, concluding that option D is correct due to its modal logic implications, particularly the use of "must" in relation to the statements.

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soopo
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The question is here: http://dl.getdropbox.com/u/175564/logic.png

The correct answer is D.

My attempt to the problem:
Let the beginnings of the sentences be A.
In a, A is B -/-> C is D.
In b, A is B -/-> C is D.
These first two do not make sense.

in c and d, the word "only" suggests exaggeration.
In c, A is B -/-> B must be C.
In d, A is B -/-> A must be C.

Still, I am sure thoroughly why d is the correct answer.
Please, let me know why.
 
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You need modal logic here, for cannot and mustn't, which are modalities.
 

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