Question

Difficulty: MediumUse of Counterexamples

Match each argumentative snippet (Left) with the accurate abstract description of how its counterexample logically functions to refute the prevailing claim (Right).

  • Management consultant: Theories suggest that eliminating middle management uniformly accelerates corporate decision-making. However, when OmniCorp removed its middle tiers, decisions ground to a halt because consensus could rarely be reached among frontline teams.Refutes a proposed causal relationship by citing a case where the supposed cause produced the exact opposite of the anticipated effect.
  • Neurologist: It is widely taught that structural neuroplasticity strictly ceases by age 30. Yet, functional MRI scans of individuals in their 60s who take up complex tasks like playing a new instrument reveal significant new structural neural pathways.Falsifies a universal temporal boundary by introducing empirical evidence of a phenomenon occurring well past a hypothesized limit.
  • Legal scholar: The prevailing doctrine asserts that courts apply strict liability exclusively in scenarios where the defendant exercises absolute control over the dangerous activity. Nevertheless, property owners are routinely held strictly liable for hidden structural flaws originating from the original builders.Counters a claim about a purportedly necessary condition by identifying an established practice where the condition is absent.
  • Music critic: Traditionalists argue that atonal compositions cannot elicit a profound emotional response from listeners without formal musical training. But this overlooks the fact that major film studios regularly utilize atonal soundtracks to successfully induce sheer terror in mainstream moviegoers.Undermines a theoretical constraint on audience reception by pointing to a commonplace commercial application that readily achieves the disputed reaction.

Answer

The correct pairings map the Business snippet to 'causal relationship/opposite effect', the Neuroscience snippet to 'temporal boundary', the Legal snippet to 'necessary condition', and the Music snippet to 'theoretical constraint on audience reception'.
Each correct pairing accurately links the substantive content of the counterexample to its abstract logical function. The management example deals with inverted causality; the neuroscience example deals with violating a time-based limit; the law example deals with invalidating a necessary condition; and the music example deals with overcoming a theoretical restriction via a common application.

Step-by-Step Solution

1
Analyze the management consultant's argument to identify the prevailing claim and how the counterexample attacks it.
The claim is that eliminating management causes faster decisions. The OmniCorp example shows it caused slower decisions. This matches the description regarding a causal relationship producing the opposite effect.
Accurately identifying cause and effect is crucial for determining the method of reasoning.
2
Examine the neurologist's argument.
The target claim sets an age limit ('by age 30'). The MRI evidence of 60-year-olds directly violates this limit. This matches the description regarding falsifying a temporal boundary.
Matching specific keywords like 'age' to 'temporal boundary' confirms the structural relationship.
3
Evaluate the legal scholar's argument.
The doctrine states strict liability is applied 'exclusively' when there is absolute control (making it a necessary condition). The counterexample shows liability applied without absolute control. This matches countering a necessary condition.
Recognizing words like 'exclusively' indicates conditional logic being tested by the counterexample.
4
Assess the music critic's argument.
The traditionalist claim restricts emotional response to trained listeners. The counterexample uses film studios invoking terror in mainstream audiences. This aligns with undermining a theoretical constraint using a commercial application.
Differentiating between scientific empirical evidence and commercial applications ensures proper matching with the remaining option.

Key Concept

Identifying the precise logical function of a counterexample in refuting a generalization or conditional claim.
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