Daily Drills 1 - Section 1 - Question 4

Supply the missing premise that makes the conclusion follow logically: P: D–most–BP: ?C:B–some–C

Jalen June 15, 2022

Question about how to link contrapositives for "Most" and "Some"

For example, I am confused about how to get the right answer for today's daily drill (06/15) on question 4. How do you determine the premise from the given material? More generally, what are the best ways to find out more information using contrapositives for "most" and "some" questions. I hope this makes sense.

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jakennedy June 18, 2022

Hi Jalen,

This is a tough one. Strictly speaking, most and some statements do not have contrapositives. However, most statements can be turned into some statements, because if most A’s are B’s, it must be true that some A’s are B’s.

So in this case, we can turn our premise into a some statement:

D -some- B

Some statements can also be reversed, so we can have:

B -some- D

So we know that some B’s are D’s, and we want to prove that some B’s are C’s.

D ? C is the correct answer choice because it ensures that some B’s (those B’s that are D’s) are C’s.

In other words, if we have the following diagrams:

B -some- D
D ? C

We know based on the inferences from the sufficient and necessary lesson that B -some- C.

Jalen June 21, 2022

Thank you!

Jalen June 21, 2022

I have a question on Argument Completion Drills that say "Z exists". Is there a certain strategy to better tackle these questions?

An example was:
Premise: x->y
Premise: y exists
Premise: ~z->~y
Conclusion: Z exists