Multiple Choice question about Proposition Logic

The correct answer is D because it follows the correct form of A is B -/-> A must be C, where A is the first part of the sentence and B and C are the second parts of the sentence. The use of "only" in the sentence suggests that the first part is the only possible option, therefore it must be true. In the context of modal logic, A must be C is the correct form for a necessary implication, which means that if A is true, then C must also be true. In summary, the correct answer is D because it follows the correct form for a necessary implication and uses modal logic to show that A must be C is the only possible option.
  • #1
soopo
225
0
The question is here: http://dl.getdropbox.com/u/175564/logic.png [Broken]

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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  • #2
You need modal logic here, for cannot and mustn't, which are modalities.
 

1. What is Proposition Logic?

Proposition Logic is a formal system of symbolic logic that deals with the relationships between statements and their truth values. It is used to analyze and evaluate the logical validity of arguments and propositions.

2. How does Proposition Logic work?

In Proposition Logic, propositions (statements) are represented by symbols such as letters or words. Logical connectives like "and", "or", and "not" are used to form compound propositions. Through the use of truth tables and logical rules, the truth values of these propositions can be determined and evaluated.

3. What are the benefits of using Multiple Choice questions in Proposition Logic?

Multiple Choice questions allow for a quick and efficient way to test an individual's understanding of Proposition Logic. It also allows for the testing of multiple concepts within a single question, making it a useful tool for assessing a wide range of knowledge and skills.

4. Can Proposition Logic be applied in real-life situations?

Yes, Proposition Logic is commonly used in various fields such as mathematics, computer science, philosophy, and linguistics. It can be used to analyze and evaluate arguments, create logical systems, and solve problems in decision making.

5. Are there any limitations to Proposition Logic?

While Proposition Logic is a powerful tool for analyzing logical relationships, it has its limitations. It does not consider the context or background information of a proposition, and it cannot be used to evaluate the validity of moral or subjective arguments.

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