Flawed Parallel Reasoning Questions - - Question 31

Not all tenured faculty are full professors. Therefore, although every faculty member in the linguistics department ...

RJEh November 25, 2017

Mapping of Q and answer choices

Would it be possible for you to map/diagram the Q and the answer choices? I worked on this one for a while and horribly butchered it...

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RJEh November 25, 2017

My apologies but it would greatly help me

RJEh November 26, 2017

Just to clarify, just the diagrams of the pure logic would be great, don't need anything else. Thanks again!

Mehran November 27, 2017

Hi @RJeh, thanks for your posts. Happy to help.

Let's start with the stimulus.

Not all tenured faculty are full professors.
TF-some-not FP

Therefore, although every faculty member in the linguistics department has tenure . . .
LD ==> TF (if linguistics department, then tenured faculty)

. . . it must be the case that not all of the faculty members in the linguistics department are full professors.
LD-some-not FP.

This question gives us a chance to review the key rules that apply when one tries to create a transitive statement by combining a "some" and an "all/none" statement. These rules are critically important for LSAT success.

A proper transitive statement may only be created as follows:
A-some-B==>C
A-some-C

The "some" statement must be to the left of the "all/none" statement.

This is not what is happening here. If you try to put the statements onto a single line, you get:
LD ==> TF-some-not FP

Do you see how, here, the "some" statement is to the right of the "all/none" statement? There is no valid transitive in cases like this.

All right. Now let's examine the answer choices. This is a flawed parallel reasoning question, so we need to select the answer choice that exhibits the same logical flaw as the stimulus.

Answer (A): Although all modern office towers are climate-controlled buildings . . .
MOT ==> CC
. . . not all office buildings are climate-controlled
OB-some-not CC
Therefore, it must be the case that not all office buildings are modern office towers.
OB-some-not MOT
This is a valid transitive argument that combines the contrapositive of premise 1 and premise 2, as follows:
OB-some-not CC==> not MOT
Because this is a valid argument, it can be eliminated.

Answer (B): All municipal hospital buildings are massive . . .
MHB ==> M
. . . but not all municipal hospital buildings are forbidding in appearance.
MHB-some-not FA
Therefore, massive buildings need not present a forbidding appearance.

Put differently, one could say some massive buildings are not forbidding in appearance. This is a valid transitive conclusion, linking the given premises as follows:
not FA-some-MHB==>M
not FA-some-M
Because this is a valid argument, it can be eliminated.

Answer (C): Although some buildings designed by famous architects are not well proportioned . . .
DFA-some-not WP
. . . all government buildings are designed by famous architects.
GB ==> DFA
Therefore, some government buildings are not well proportioned.
GB-some-not WP

You can see that this answer choice mimics the same flaw as that found in the stimulus. If you try to construct a transitive sentence with these statements, you get the following:
GB ==> DFA-some-not WP

See how, here, the "some" statement is again to the right of the "all/none" statement? No valid transitive is available.

I hope this helps! Please let us know if you have additional questions (or need help diagramming (D) or (E)). Best of luck.

RJEh November 27, 2017

Thanks so much for the quick response @ Mehran, I really appreciate that.

Let's see if I've got this now...

Answer (D): This one throws me off because of the switch from "not well designed" to "poorly designed" while also combining "poorly designed" with "public buildings" halfway through. Is one of the flaws here that the author makes that combination?
Not all public buildings are well designed...
PB - some - not WD or should I diagram as PB - some - PD?
... but some poorly designed public buildings were originally intended for private use.
PDPB - some - OIPU
Therefore, the poorly designed public buildings were all originally designed for private use.
PDPB ==> OIPU

Answer (E):
Although some cathedrals are not built of stone...
C - some - not BoS
...every cathedral is impressive.
C ==> I
Therefore, buildings can be impressive even though they are not built of stone.
not BoS - some - I

Thanks again for the support.