Sufficient & Necessary Questions - - Question 7

If the city council maintains spending at the same level as this year's, it can be expected to levy a sales tax of 2 ...

kassidee December 5, 2019

question was positive but answer choice was negative?

I don't understand how this is the same structure(c) if the original stimulus is positive?(if a-b, with the concussion of no b-no a)

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BenMingov December 5, 2019

Hi Kassidee, thanks for the question!

When we are paralleling, it is important to parallel the logical structure of an argument rather than the positive or negative component. So long as the reasoning structure is the same, then the answer is correct. Keep in mind, we can state something in both positive and negative terms. E.g. awake vs. not asleep.

Now getting back to this specific question.

The argument is structured as follows:

Reasoning: city council maintain spending - > tax 2%
Conclusion: NOT tax 2% - > NOT city council maintain spending

In essence, the argument is abstractly: A - > B, therefore NOT B - > NOT A

The conclusion is the contrapositive. This is the reasoning structure.

Answer choice C states the following:

Reasoning: NOT increase workers' wage - > same price
Conclusion: NOT same price - > increase workers' wage

This is the contrapositive. Which is the same reasoning structure. As you see, it had no effect on the argument whether the items were phrased in positive or negative terms.

I hope this helped. Please let me know if you have any other questions!