#19 - Every student who walks to school goes home for lunch.

[ellenb]

Dear Powerscore,

I just want to make sure I have diagrammed the statements correctly for this question.

First Statement: WS->GHFL

Second Statement (conclusion): not WS some PTJ

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Answer: not GHFL some PTJ


Also can we connect a statement such as A->B some C or we can connect only A some B->C which will be A some C? In this example if we put it all together, than we have,
PTJ some not GHFL --> not WS
------------
Conclusion: PTJ some not WS

Sort of like A some not B -->not C, A some not C.

Please let me know if I my diagrams seem to be correct.

Thanks

Ellen

[Luke Haqq]

Hi Ellen,

Your diagrams look good! And your intuition about the proper way to connect some statements with if-then statements is correct. Namely, from

A some B C

you can infer

A some C

However, you cannot make inferences if the form is instead,

A B some C

[LSAT2018]

Can you confirm if this is right? The 'some' part gets me confused easily with the order


Walk to School → Home for Lunch
Not Home for Lunch → Not Walk to School
Part-time Jobs (Some) → Not Walk to School
Part-time Jobs (Some) → Not Home for Lunch → Not Walk to School

[Adam Tyson]

Looks good, LSAT2018! Just keep in mind that the "some" arrow goes both ways, sort of like an "if and only if" situation. That is, if some A are B, that also means that some B must be A. In this case, if there are some students with part time jobs that do not go home for lunch, it also means that some people who do not go home for lunch have part time jobs (and there is your correct answer).

Nice work! If you happen to be enrolled in our Full Length course, you will find a module in the Online Student Center in Lesson 8 about Formal Logic - that's where we discuss diagramming things like "some" and "most". For now, remember that "some" means "at least one" and could mean all.

[silent7706]

Hi,

P: WS GHFL
C: PTJ -WS
(D): PTJ -GHFL

I'm not seeing how some train travels backwards to connect with WS when GHFL is negated in (D). Can you please advise?

Thanks in advance.

[Brook Miscoski]

silent7706,

Write out the contrapositive of the premise:

-GHFL -WS

Now, consider (D), which states:

PTJ -GHFL

Those students (who are both PTJ and -GHFL) will not walk to school, because of the contrapositive.