EXAMPLE 2.2.16 SOLUTION

If I buy cheap gasoline, then my car runs badly.

If I don't change the oil, then my car runs badly.

Therefore, if I buy cheap gasoline, then I don't change the oil.

 

Let p: ÒI buy cheap gasolineÓ

 

Let q: ÒMy car runs badly.Ó

Let r: ÒI donÕt change the oilÓ

 

The argument has this from:

 

We donÕt need to make a truth table, because we recognize that this is a common form of invalid argument called a False Chain.