Daily Drills 64 - Section 64 - Question 4

P: B → CP: ?C: C–some–D

lford39 July 15, 2019

Clarification

Can I please get an explanation on this answer?

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

Already have an account? log in

Ravi July 30, 2019

@lford39,

Happy to help.

We have

P:B - >C (not C - >not B)
P: ?
C: C-some-D

What can we add to conclude C-some-D? We definitely need a premise with D in it.

What if we connected D and B somehow?

D-some-B

B - >C

C-some-D

D-some-B - >C

C-some-D

D-some-B would work because it would allow us to make a full chain and
would let us conclude C-some-D.

We can actually also arrive at the correct answer choice on this
question by process of elimination. Every other answer choice has
either a not B or not D in it. Additionally, each other answer choice
is a some statement, which means it's reversible. 'Some' statements
don't have contrapositives, so this means that the not B or not D
cannot be negated to get D or B. Thus, we can eliminate every answer
choice that has a not B or not D in it since there's no way that we
could ever get a B or D from it, and we have a D in the conclusion,
not a not D.

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

mystah October 19, 2021

Thank for the explanation... I see how eliminating the other options can lead to the right answer; however, with looking at them other answer choices , I have been noticing that "some not " has been coming up more frequently. What is the logical explanation of using some not and is that an inference that could be made? For example:

A-->B
B-->C
------
B some C (is this term reversal to B some not C?