Question

consider the following fallacy. explain why the fallacy applies to the example and create your own argument that displays the same fallacy. the middle ground fallacy has the following form. premise: x and y are two extreme positions on a question. conclusion: z, which lies between x and y, must be correct. example: senator peters supports a large tax cut, and senator willis supports no tax cut. that means a small tax cut must be best. explain why the fallacy applies to the example. choose the correct answer below. a. let x be no tax cut and y be a tax cut. a small tax cut lies between no tax cut and a tax cut. let z be a small tax cut. b. let x be no tax cut and y be a small tax cut. there doesnt need to be a z because it is implied. c. one of the senators chose a middle ground position, therefore its a middle ground fallacy d. let z be the decision for no tax cut, which is not an extreme position.

Explanation:

The middle - ground fallacy assumes that just because a position \(Z\) is between two extreme positions \(X\) and \(Y\), it is correct. In the example, \(X\) (no tax cut) and \(Y\) (a large tax cut) are the extreme positions. A small tax cut (\(Z\)) is presented as correct simply because it is in the middle. Option A correctly identifies \(X\) as no tax cut, \(Y\) as a tax cut (the large tax cut in the example is a type of tax cut), and \(Z\) as a small tax cut which lies between \(X\) and \(Y\). Option B is incorrect because it mis - labels the positions (\(Y\) should be a large tax cut, not a small one). Option C is wrong as neither senator chose the middle - ground position. Option D is incorrect because \(Z\) in the fallacy is the middle position (small tax cut), not no tax cut.

Answer:

A. Let \(X\) be no tax cut and \(Y\) be a tax cut. A small tax cut lies between no tax cut and a tax cut. Let \(Z\) be a small tax cut.