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These statements are:∼J ⊃ C C ⊃ ∼T --------∼J ⊃ ∼T
a.Valid
b.Invalid

User Analizer
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1 Answer

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Final answer:

The student's question concerns the validity of a syllogism in logical deduction. If we assume the premises are true, the argument that transitions from ¬J to C, and C to ¬T, to conclude that ¬J leads to ¬T is valid.

Step-by-step explanation:

The student is asking about the validity of a logical argument. The argument presented uses symbols commonly found in logical expressions. The symbols used in the argument are as follows:




When assessing the validity of this argument, we must determine whether the conclusion logically follows from the premises. The argument is trying to make use of a transitive relation, where if the first statement is true, the second one must also be true, and thus the conclusion is true based on the given premises.

This form of argument, when structured correctly, is known as a syllogism, which is a form of deductive reasoning. In this case, if we assume both premises are true (¬J ⊕ C and C ⊕ ¬T), then the conclusion (¬J ⊕ ¬T) is indeed valid, because it follows the proper form of transitive relation in logic: If 'not J' leads to 'C', and 'C' leads to 'not T', then 'not J' must also lead to 'not T'.

User Adamek
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