Daily Drills 32 - Section 32 - Question 4

P: not C → AP: D → not B P: ?C: D → A

Shirnel January 24, 2022

Not b not c negation incorrect in answer explanation

Not b not c negation incorrect in answer explanation.

Reply
Create a free account to read and take part in forum discussions.

Already have an account? log in

Jay-Etter January 24, 2022

Hi Shirnel,
I'm not sure exactly what your question is here but lets run through the question really quick. If we lay out our conditionals and their contrapositives:
P1) Not C -> A // Not A -> C
P2) D -> Not B // B -> Not D
Missing Premise)
Conclusion) D -> A // Not A -> Not D

So if we want to get to starting point D ending in A, we have D -> Not B starting with D and we have Not C -> A ending in A.
If we connect these with a missing premise of Not B -> Not C we get
D -> Not B -> Not C -> A
Or simplified to D -> A.
This is exactly what we want so our missing premise is
Not B -> Not C
We can also write this as the contrapositive
C -> B

Since Not B -> Not C // C -> B are logically equivalent, either of them is correct but we'd choose C -> B since that's the one our answer options are giving us.
Feel free to follow up if this doesn't answer your question.