Use truth tables to show that the following forms of

Chapter 2, Problem 12E

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QUESTION:

Use truth tables to show that the following forms of argument are invalid.

a. \(p \rightarrow q\)

     q

     \(\therefore p\)

     (converse error)

b. \(p \rightarrow q\)

     \(\sim p\)

     \(\therefore \sim q\)

     (inverse error)

Text Transcription:

p \rightarrow q

sim q

therefore p

sim p

therefore sim q

Questions & Answers

QUESTION:

Use truth tables to show that the following forms of argument are invalid.

a. \(p \rightarrow q\)

     q

     \(\therefore p\)

     (converse error)

b. \(p \rightarrow q\)

     \(\sim p\)

     \(\therefore \sim q\)

     (inverse error)

Text Transcription:

p \rightarrow q

sim q

therefore p

sim p

therefore sim q

ANSWER:

Solution:Step 1In this problem we have to use truth tables to show that the given forms of argument are invalid.

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