by ohthatpatrick Mon Jun 03, 2019 2:09 pm
Yes, your interpretations of how we negate a conditional idea were both accurate. I'll propose a third in a sec, but I was really confused by this thing you said:
I am overthinking the negation test and how it destroys the argument with incorrect reversal/negation ACs in NA questions....
for purposes of clarity and to solidify understanding, the negation of B would be:
"if two readers agree about the meaning of a poem, that DOES NOT ensure an objective evaluation of the poem can be made"
and that negation would destroy the argument because while two readers agreeing is REQUIRED, it does not ENSURE because ensure implies sufficiency/would be a trigger, correct?
It sounds like you have a misunderstanding of the Negation Test.
On Necessary Assumption (only),
the correct answer, if negated, will weaken the argument
the incorrect answers, if negated, will not weaken the argument
Since you're looking at an incorrect answer (B), negating it will not weaken the argument.
CONSIDER THIS EXAMPLE:
Debbie applied to Duke. Thus, Debbie wants to go to a good school.
Nec Assump
(A) Duke is a good school
not a Nec Assump
(B) Duke is a top 5 school
the negation of (A), "Duke is not a good school", weakens the argument
the negation of (B), "Duke is not a top 5 school", doesn't weaken the argument
That's a way for us to know that (A) is a better answer than (B).
Anyhoo, I recommend that people never try negating conditionals. Not only do most people (though not you) mess up how to negate them, it's also just not as useful an application of the negation test.
When I see a conditional logic answer on Nec Assump, I just ask myself "Did the author make that move, in that order, with total certainty/equivalence?"
Most conditional logic answer choices would be wrong because they have the parts out of order (reversed or negated) or because the author hedged her wording.
EXAMPLE:
Bob is left handed. Thus, he's probably clumsy.
I cannot say the author assumed "If left handed, then clumsy", because the author hedged her wording when she made that move .... "PROBABLY clumsy".
But ....
EXAMPLE:
Bob is left handed. Thus, Bob is clumsy.
Here we can say this IS a necessary assumption
A) If someone is left handed, then they are clumsy.
When you negate a conditional, you're just saying "IT'S NOT THE CASE that this permanent, universal connection exists between the left side and right side idea."
More conversationally, you're saying "There is AT LEAST ONE counterexample to this conditional".
If I negated (A), it would be saying
"there is at least one person who is left handed but not clumsy".
Does that negation weaken the argument about Bob?
Sure. It introduces some doubt. Bob might not be clumsy.
Does it feel like the typical Negation Test Takedown of the author? Not to me. That's why I don't see the point in negating conditional answers. You don't get the usual payoff off "Whoa ... when I negate that, I'm really counterpunching the argument".
So the negation of (B) in this question is saying,
"There is at least one case in which two readers agreed about meaning of a poem but it was NOT possible to make an objective evaluation."
And the negation of (D) is saying
"There is at least one case in which objective evaluation was possible, even though it was impossible to discuss the poem's aesthetic value."
The negation of (D) weakens. The negation of (B) does not.
Hope this helps.