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Bunuel

Competition Mode Question



Lines can be parallel in a Euclidean system of geometry. But the non-Euclidean system of geometry that has the most empirical verification is regarded by several prominent physicists as correctly describing the universe we inhabit. If these physicists are right, in our universe there are no parallel lines.

Which one of the following is an assumption that is required by the argument?


(A) There are no parallel lines in the non-Euclidean system of geometry that has the most empirical verification.

(B) Most physicists have not doubted the view that the universe is correctly described by the non-Euclidean system of geometry that has the most empirical verification.

(C) There are no parallel lines in every non-Euclidean system of geometry that has any empirical verification.

(D) The universe is correctly described by the non-Euclidean system of geometry that has the most empirical verification if prominent physicists maintain that it is.

(E) Only physicists who are not prominent doubt the view that the universe is correctly described the non-Euclidean system of geometry that has the most empirical verification.
PREMISE:
Lines can be parallel in a Euclidean system of geometry.
We're using the non-Euclidean system of geometry to make a statement about the Universe.

CONCLUSION:
If these physicists are right, in our universe there are no parallel lines.

ASSUMPTION:
The assumption has to have a link about non-parallel lines because Parallel lines = Euclidean system of geometry.
Non-parallel lines = non-Euclidean system of geometry -> statement about the Universe.

This leaves us with options A and D.

Choice D is not the correct answer because it makes a statement about the justification of the physicists' view, not a necessary assumption for the argument itself. The argument's conclusion is "If these physicists are right, in our universe there are no parallel lines." This is a conditional statement. It does not require assuming why the physicists' view is correct.

Hence, A : There are no parallel lines in the non-Euclidean system of geometry that has the most empirical verification.
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we are talking only about the most empirical verification and not "any" empirical verification thats why A over D
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egmat please explain why D is incorrect!
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catcun
egmat please explain why D is incorrect!
catcun Look at what the argument actually says:

"IF these physicists are right, in our universe there are no parallel lines"

The argument treats the physicists being right as a conditional - it's exploring what follows IF they're correct.

Now look at what (D) says:
"The universe IS correctly described by this system IF prominent physicists maintain that it is"

(D) reverses the relationship. It makes the physicists' opinion the REASON the system is correct (physicists say so \(\rightarrow\) therefore true).

Why D Isn't Necessary:

The argument never needs the physicists' views to be what MAKES the system correct. The system could be correct for completely independent reasons - empirical evidence, mathematical proofs, etc. The argument just says "IF they happen to be right, here's the conclusion."

The argument already conditionalizes on them being right ("if these physicists are right") - it doesn't need an assumption about WHY or HOW their views make it correct.

What IS Needed:

The gap in the argument: The physicists say this system describes our universe \(\rightarrow\) Therefore no parallel lines in our universe

Missing link: That specific non-Euclidean system has no parallel lines (Answer A)

I'd recommend you practice some free assumption questions here. You should set up a guided quiz by selecting "assumption" in CR- that will help you attempt these questions and then see the explanations right after. These explanations will help you understand how to build clear logical chains from the argument given and have a structured process to eliminate the wrong alternatives.
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