Prove the validity of the following argument Either your car

Prove the validity of the following argument: Either your car is damaged or you are not at fault. If your car was damaged, your insurance will pay. You are at fault. Therefore your insurance will pay. Use C, F, I

Solution

Let say

C as car is damaged

F as you are at fault

I as your insurance will pay

statement Either your car is damaged or you are not a fault is written as

C v !F-------------------(1)

Statement If your car was damaged , your insurance will pay is written as

C -------> I (2)

and given that your at fault so F is True

From (1)

C v !F

   F

-------------------

C by modus ponens infrence rule ,-------------(3)

Now from (2) and (3)

C----------->I

C

-----------------------

I (by modus ponens)

Therefore your insurance will pay

Hope you got ..All you need to know is How to use infrence rules