Daily Drills 2 - Section 2 - Question 3

Identify what you can properly conclude from the given premises: P: D → not AP: X–some–AC: ?

stephanieidemeko March 8, 2019

Need further help

I am very confused at how the answer arrived as option A

Replies
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Ravi March 12, 2019

@stephaniedemeko,

Happy to help.

We're given

P: D - >not A
P: X-some-A

and we're tasked with figuring out what we can conclude from this.

A is the common term in the premises, so let's rearrange each premise
in a way where we can see what A gives us.

P: A - >not D (took the contrapositive of the first premise)
P: A-some-X (reversed the second premise since 'some' statements are reversible)

From this, we know that all As are not Ds. We also know that some As
are Xs. What can we conclude from this? Well, some not Ds must also be
Xs

not D-some-X (this can also be written as X-some-not D since 'some'
statements are reversible)

In looking at the answers, (A) says X-some-not D, so it's our correct
answer choice.

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

wendylevinson January 31, 2020

I have never been as confused as I am with these type problems. I have no idea how you combined the premises to obtain the answer. I get the contrapositives and all that, but when it comes to putting them together, I'm lost. Can u break it down for those that aren't "getting it" with what's already posted? The use of the word "some" is really throwing me and confusing me. Please help! I would really like an explanation, step-by-step, as to where all these extra letters came from.

jen41613 May 1, 2020

I am definitely confused on this one.

bobbyg0313 December 10, 2020

Is there any training on the "Some" problems? " the Conclusion states A then not D, not D some X? where does this come from?