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In Priest's 'Logic of Paradox,' the relationship between classical validity ($\vDash_C$) and validity in the Logic of Paradox (LP) ($\vDash_{LP}$) is established. What does Priest claim about the proof from classical validity to LP validity?

A. The proof is immediate due to the equivalence of two-valued and three-valued models.

B. The proof is complex and requires an in-depth understanding of paradoxes.

C. The proof is inconclusive and depends on specific instances.

D. The proof is unnecessary as classical validity and LP validity are inherently different.

1 Answer

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Final answer:

In 'Logic of Paradox,' Priest claims that the proof from classical validity to LP validity is unnecessary because classical validity and LP validity are fundamentally different.

Step-by-step explanation:

In Priest's 'Logic of Paradox,' he claims that the proof from classical validity to LP validity is unnecessary as classical validity and LP validity are inherently different. Priest argues that classical logic, which is based on two-valued models, cannot capture or accommodate the truth values in paradoxes or situations with inconsistent information. On the other hand, LP, which uses three-valued models, allows for the representation of paradoxical situations. Therefore, the proof from classical validity to LP validity is not straightforward due to the fundamental differences between the two systems.

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