Daily Drills 10 - Section 10 - Question 3

P: not A → not BP: B–most–XC: ?

William-Jones January 30, 2019

I am so confused!

Hi! I don't understand how the conclusion is X-some-B. Why isn't it not X-some-not B? Also, how were able to get the answer?

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Ravi January 31, 2019

@William-Jones,

Happy to help! The conclusion actually isn't "X-some-B," it's
"X-some-A." Let's walk through we get to the conclusion.

The first premise is not A - >not B.

This can also be written as B - >A.

The next premise is B-most-X.

This can also be written as X-some-B.

We're tasked with figuring out what we can conclude from these two
premises. We need to be thinking, "How can we link up the two premises
to infer something out of them?"

B is a common link between the two premises, so let's look at how we
can connect the rules with B.

B - ->A

X-some-B

Well, we can put it together so that X-some-B - ->A.

With this together, what do we know? We now know that some Xs have to
be As, or X-some-A. Since some statements are reversible, we can also
write this as A-some-X.

Answer choice (C) says X-some-A, and this is precisely what we figured
out when we linked the two premises together. It's our conclusion, and
it's the correct answer.

None of the other answer choices are conclusions that we can infer
from the premises.

Does this make sense? Let us know if you have any questions!

andriyshchegelskiy March 20, 2019

No matter how hard I try to think I don't understand how to get a correct answer. Would there be a video that you can recommend?

Gozi October 15, 2019

Why does the second premise wording change from "most" to "some"? Why can't it be x-most-b?

Gozi October 15, 2019

I saw Mehran's comment in another thread saying to watch a video but could someone explain the reasoning for the above right here?