Determine Which of the Lettered Claims Below Is Equivalent to the Following:If

question 19

Short Answer

Determine which of the lettered claims below is equivalent to the following:If the gun cannot be sold,then it does have a trigger lock.(This can be easy to do if you symbolize the claims first and have some familiarity either with truth tables or with the Group II rules for derivations-the truth-functional equivalences. )
A.Only if the gun has a trigger lock can it be sold.
B.The gun has no trigger lock,but it can be sold anyway.
C.If the gun cannot be sold,then it has no trigger lock.
D.If the gun has no trigger lock,then it can be sold.
Equivalent to D

---

Definitions:

Biconditional

A logical statement where both parts imply each other; often phrased as "if and only if."

Component

A constituent part or element of a larger whole.

Contradictory

Referring to statements or propositions that directly oppose each other such that if one is true, the other must be false.

Truth Values

The valuation in logic assigned to propositions, indicating their truthfulness as either true (T) or false (F).