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Given K ≣ (L v M) / L⊃M / M⊃K / K v L // K⊃L, what can be concluded?

A) L ⊃ K
B) K v L
C) M ⊃ K
D) K ⊃ L

1 Answer

3 votes

Final answer:

Logic proof questions involve determining conclusions from premises. Given the statements provided, we cannot confirm the conclusion K ⊃ L solely from the premise K ∨ L without additional information or context.

Step-by-step explanation:

The question involves a logical proof which falls under the subject of formal logic, often studied in philosophy, mathematics, or computer science. The content loaded in the question pertains to a series of logical statements, and we are to determine which conclusion follows from these premises. Given the premises: K ≡ (L ∨ M) / L⊃M / M⊃K / K ∨ L // K⊃L, we want to determine which of the possible answers can be correctly concluded. The symbol '≡' denotes logical equivalence, '∨' denotes logical disjunction (OR), and '⊃' denotes logical implication (IF...THEN).Throughout the premises, we can see that K is defined as equivalent to L ∨ M. There is a chain of implications that can be followed: if L then M (L⊃M), and if M then K (M⊃K).

However, since we have the statement K ∨ L as one of our premises and we are looking to conclude K ⊃ L we need to analyze if the disjunction (OR) logically leads us to the conditional (K⊃L).Without more context or additional premises, we cannot directly conclude K ⊃ L from the given statements because the disjunction K ∨ L does not guarantee the implication K ⊃ L. Therefore given the provided information we cannot confirm conclusion D) K ⊃ L.

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User Karlie
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