Daily Drills 2 - Section 2 - Question 2

Select the answer choice that correctly diagrams the following Sufficient & Necessary statement:Harry could never...

RobIII June 11, 2020

Sufficient and necessary

Hi, I wondering if I could gain a little clarity as to the correct answer. I picked (A) because, I believe that it is necessary for ‘Harry’ to be the chosen one -> in order to defeated ‘Voldemort.’ However, the correct answer was the complete opposite being DV->CO. Which doesn’t really make since given it IS NECESSARY for him to be the chosen one to defeat him. How would defeating Voldemort come before becoming the chosen one?

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Blaine June 11, 2020

I have the same problem!

Skylar June 12, 2020

@RobIII, happy to help!

The word "unless" is a special Sufficient/Necessary indicator. To diagram the word "unless," we need to do two things.
(1) make the part of the sentence immediately following the word "unless" the Necessary condition
(2) negate the other part of the sentence and make it the Sufficient condition

Our sentence is: Harry could never have defeated Voldemort unless he was the chosen one.

The part of the sentence immediately following the word "unless" is "he was the chosen one," so this is our Necessary condition. The other part of the sentence is "Harry could never have defeated Voldemort." We negate this to get "Harry could have defeated Voldemort." This is our Sufficient condition. Remember, our diagram goes: Sufficient -> Necessary.

This gives us: Harry could have defeated Voldemort -> He was the chosen one
We can simplify this to: DV -> CO

We can think about this as: If Harry could have defeated Voldemort, then he was the chosen one.

Does that help? Please let us know if you have any other questions!

RobIII June 24, 2020

Yes this explanation helped. Thank you!

Lucas June 28, 2020

Unless is necessary so DV-->CO

STACEYCOX43 September 23, 2020

Same!!! I had same reasoning behind why I chose A

STACEYCOX43 September 23, 2020

@Skylar thanks for your detailed explanation

Anokhi June 7, 2022

why is the answer C and not D?

Emil-Kunkin June 13, 2022

Hi,

We know that Harry could not have beaten Voldemort unless he were the chosen one. This means that the only way he can DV is if he is the chosen one. So, we know that if Harry did win, then he must have been the chosen one- so If HDV -> CO. However, being the chosen one does not mean that he is guaranteed to be the chosen one. Perhaps he could have been the chosen one but also been betrayed by an ally (Snape?), or simply he was the chosen one but that still was not enough. The statement tells us that being the chosen one is needed to beat Voldemort, but it does not tell us that being the chosen one also guarantees one to beat Voldemort.