Quantifiers Questions - - Question 11

Some planning committee members—those representing the construction industry—have significant financial interests in ...

iameunkyoung@gmail.com January 17, 2020

Who are representing the construction industry?

Is it some PCM? Or PCM in general? I guess my question is, is the first sentence talking about SOME PCM? or PCM as a whole? I think it should be SOME, but just wanted to double check. Is it correct to think that people who are representing the construction industry = have significant financial interests in the committee's decisions = SOME PCM but not ALL PCM?

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Annie January 17, 2020

Hi @iameunkyoung@gmail.com,

Here's a diagram of the argument:

Some members - -> financial interest
Member -/-> live in suburbs
Many members - -> work in suburbs

By adding these together, we can conclude:

Some members with financial interests do not live in the suburbs.
Many members work in the suburbs but do not live there.
Some members neither live or work in the suburbs.

(E) is correct because we know (1) that there are some members with significant financial interests and (2) that no members live in the suburbs. If you put those together, you get that some members with financial interests do not live in the suburb (as seen above).

Regarding you're specific questions:

(1) Yes, the first sentence is talking about some members.
(2) This is generally correct, but make sure you specify that it's not all people who represent the construction industry, but those specific ones who are on the committee

kimfurtado June 30, 2020

Hi! I am confused by how you can conclude that many members who work in the suburbs don't live there. I understand the reasoning, but I can't seem to figure out how you reach that conclusion with your diagram, if that makes sense. Thanks!

Brett-Lindsay July 16, 2020

I think that @Annie meant "some" when she wrote "many":

"No one who is on the planning committee lives in the suburbs, although many of them work there."
tells us:
PCM --> not LS
PCM --some-- WS (Remember that "many" is a subjective term, without a definite value, so we write it as "some")

PCM --> not LS
PCM --some-- WS
Reversing the quantifier, we get
WS --some-- PCM
and adding the S/N we get
WS --some-- PCM --> not LS
or
WS --some-- not LS