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1) Symbolize the premises and conclusion, 2) Make a truth table with columns for

ID: 3120320 • Letter: 1

Question

1) Symbolize the premises and conclusion, 2) Make a truth table with columns for (at least) each premise and the conclusion, 3) Examine the truth table looking for rows where the premises are True while the conclusion is False. For each of the following sets of premises and conclusions, use this technique to determine if the argument is valid. Be sure to mention whether you have concluded the argument to be valid or invalid. You must show all three steps in order to receive credit.

If you only eat pickled pig’s feet, then you don’t have many friends.
If you don’t have many friends, then you are used to solitude.
Therefore, if you only eat pickled pig’s feet, then you are used to solitude.

[Note: This problem requires the use of three propositional variables p, q, and r. Think about how you will write your truth table to capture all combinations of these three variables.]

Explanation / Answer

p: you only eat pickled pig's feet;

q: you don't have many friends;

r: you are used to solitude;

p P

p->q P

q->r C

p->r;

Truth Table p q r p->q q->r p->r T T T T T T T T F T F F T F T F F F T F F F F F F T T F T F F T F F F F F F T F F F F F F F F F