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Denying the Antecedent

What is Denying the Antecedent?

A mother looks out the window at the ground and says, "If it rains, the pavement gets wet." That's true. But then you flip it: "If it doesn't rain, the pavement is dry." Wrong? A sprinkler truck just passed, a neighbor hosed down the driveway, a water main burst—the pavement is still wet. The statement "if it rains, the pavement gets wet" only guarantees wetness when it rains; it says nothing about when it doesn't. Jumping from "no rain" to "no wetness" is a step too far. That's denying the antecedent.

Denying the Antecedent: common mistakes and how to handle them

At a meeting, a manager declares, "We didn't run any ads this time, so sales must be down." But existing customers reorder, boosting the numbers. A colleague sighs, "He didn't graduate from a prestigious university, so he can't handle this role." But that person has worked on three projects and knows the ins and outs better than anyone. At home, a husband says, "I didn't yell at her, so why would she be upset?" But she's bothered by something else entirely. These judgments all take the same wrong path: because one route wasn't taken, they conclude the destination can't be reached. Yet the roads to an outcome are never just one.

What the Denying the Antecedent questions test

determining whether an argument only negates a condition while ignoring other possibilities. Recognizing what an "if...then..." statement actually guarantees and what it doesn't. Distinguishing whether you can infer the result doesn't happen from the condition not happening. The prompts present statements from everyday conversations or work reports and ask you to point out the flaw in the reasoning.

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At a team meeting, the manager said, “Since we didn't air the TV ad during prime time, foot traffic is bound to be low.” But the mall was packed that weekend because a large street fair was held next door. Which evaluation is most accurate?
Single choice
In a team meeting, Alex says, “If we don't run subway ads this month, the app downloads will definitely drop.” However, end-of-month data shows downloads hit a new high. Puzzled, a colleague asks about it, and Alex replies, “It must be due to bot traffic; otherwise, there's no other explanation.” Which of the following evaluates the reasoning most accurately?
Single choice
At the weekly meeting, the project manager said: “Since we didn't give the customer service team the new product training this week, they definitely won't be able to answer customers' new questions.” After the meeting, a colleague privately questioned this claim. Which of the following evaluations is most accurate?
Single choice

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