Chapter 12, Problem 2CUR

To determine

Tocheck:Whether the conditional “ p only if q ” is equivalent to “if p , then q ” or not.

Answer to Problem 2CUR

Yes, the conditional “ p only if q ” is equivalent to “if p , then q ”.

Explanation of Solution

Given information:

The given conditionals are“ p only if q ” and “if p , then q ”.

Both the conditionals “ p only if q ” and “if p , then q ” are equivalent as the truth table for both is same and it is false only when p is true and q is false.

Therefore, the conditional “ p only if q ” is equivalent to “if p , then q ”.