GMAT考试中Testprep的数学解析

时间:2020-12-27 14:12:12 gmat考试 我要投稿

GMAT考试中Testprep的数学解析

  If I eat nuts, then I break out in hives. This in turn can be symbolized as N――H.

GMAT考试中Testprep的数学解析

  Next, we interpret the clause there is a blemish on my hand to mean hives, which we symbolize as H. Substituting these symbolssintosthe argument yields the following diagram:

  N――H

  H

  Therefore, N

  The diagram clearly shows that this argument has the same structure as the g

  iven argument. The answer, therefore, is 。

  Denying the Premise Fallacy

  A――B

  ~A

  Therefore, ~B

  The fallacy of denying the premise occurs when an if-then statement is prese

  nted, its premise denied, and then its conclusion wrongly negated.

  Example:

  The senator will be reelected only if he opposes the new tax bill. But he wa

  s defeated. So he must have supported the new tax bill.

  The sentence The senator will be reelected only if he opposes the new tax b

  ill contains an embedded if-then statement: If the senator is reelected, then he opposes the new tax bill. This in turn can be symbolized as R――~T. The sentence But the senator was defeated can be reworded as He was not reelected, which in turn can be symbolized as ~R. Finally, the sentence He must have supported the new tax bill can be symbolized as T. Using these symbols the argument can be diagrammed as follows:

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