If national elections deteriorate into TV popularity contests, then smoothtalking morons

Chapter 6, Problem 1

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QUESTION:

If national elections deteriorate into TV popularity contests, then smoothtalking morons will get elected. Therefore, if national elections do not deteriorate into TV popularity contests, then smooth-talking morons will not get elected.

Questions & Answers

QUESTION:

If national elections deteriorate into TV popularity contests, then smoothtalking morons will get elected. Therefore, if national elections do not deteriorate into TV popularity contests, then smooth-talking morons will not get elected.

ANSWER:

Problem 1

I. Translate the following arguments into symbolic form. Then determine whether each is valid or invalid by constructing a truth table for each.

1) If national elections deteriorate into TV popularity contests, then smooth-talking morons will get elected. Therefore, if national elections do not deteriorate into TV popularity contests, then smooth-talking morons will not get elected.

                                                               Step by Step Solution

Step 1 of 3

First, we need to translate the arguments into symbolic form.

- Let ‘N’ represent the statement ‘National elections deteriorate into TV popularity contests’ and ‘E’ represents the statement ‘smooth-talking morons will get elected’.

- Now, we can translate the premise ‘If national elections deteriorate into TV popularity contests, then smooth-talking morons will get elected’ as .

- Similarly, the conclusion (here ‘therefore’ is the conclusion indicator) ‘if national elections do not deteriorate into TV popularity contests, then smooth-talking morons will not get elected’ can be translated as .

Thus the given argument can be symbolized as .

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