PHIL120 Lecture Notes - Lecture 4: Disjunctive Syllogism, Validity, If And Only If

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In response to problem 1. 1 in the text, there are a few possible answers: There are also a few other possible answers, sort of. On one hand, c must be a knight or knave because everyone is either a knight or knave. On the other hand though, it"s possible that we don"t actually have enough information to solve the problem, and therefore cannot be sure whether or not c is a knight or knave. One way that we can solve this problem is reasoning by cases seeing whether that assumption is conducive to a logically valid argument. B is a knave, because c said truthfully that b lied. Therefore a did not say that he was a knave. If a answered abercrombie"s question, then he must have said that he was a knight. B is a knight, and a said he is a knave.

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