Question

Difficulty: Very hardUse of Counterexamples

Analyze the logical structure of the following counterexamples. Pair each argument in the primary list with the argument in the secondary list that employs an identical method of refutation.

  • Linguists claim that all creole languages inherently lack complex morphological inflections. However, Chavacano is a widely spoken creole that possesses a highly developed system of verbal affixation.Biologists hypothesized that all subterranean mammals lack the anatomical capacity to perceive color. Yet, the Namib golden mole, a strictly subterranean species, possesses fully functional color receptors.
  • Critics argue that implementing rent control invariably reduces housing availability by disincentivizing new construction. However, when Springville enacted strict rent controls, the housing supply expanded rapidly even as new construction permits plummeted.Analysts contend that corporate mergers always decrease product quality by eliminating market competition. Yet, after Omnicorp absorbed its only rival, the quality of its software improved drastically, despite operating in a complete monopoly.
  • Historians assert that only societies with a centralized agrarian state could develop written legal codes. Yet, the ancient nomadic tribes of the steppes, which entirely lacked centralized agriculture, utilized a sophisticated written legal framework.Geologists maintained that only tectonic plate boundaries could generate high-magnitude seismic events. Nevertheless, the New Madrid fault zone produces massive earthquakes despite being located directly in the middle of the North American plate.
  • Sociologists propose that no social movement can achieve lasting legislative change without securing the backing of major media conglomerates. However, the grassroots labor strikes of the 1930s secured landmark labor laws while facing unanimous opposition from major media outlets.Astrophysicists theorize that no planetary body can maintain a liquid water ocean without orbiting within its star's habitable zone. Yet, Europa sustains a vast subsurface liquid ocean despite orbiting far beyond the sun's habitable perimeter.

Answer

The correct pairings match arguments based on their abstract refutation structure: the creole argument matches the subterranean mammals argument; the rent control argument matches the corporate mergers argument; the historians argument matches the geologists argument; and the sociologists argument matches the astrophysicists argument.
Each correct pairing links two arguments that employ the exact same logical architecture to refute a claim. The 'creole' and 'mammals' arguments both disprove a universal negative claim. The 'rent control' and 'mergers' arguments both disprove a causal relationship where the expected mechanism is demonstrably present but the effect is absent. The 'historians' and 'geologists' arguments both disprove an 'only' claim by showing the effect occurring without the required condition. Finally, the 'sociologists' and 'astrophysicists' arguments both disprove a 'without' conditional by demonstrating success in the explicit absence of the condition.

Step-by-Step Solution

1
Analyze the logical structure of the 'creole languages' counterexample.
Structure identified: Refutation of 'All A lack B' with 'Instance C is A and has B'.
Identifying the abstract logical structure is required to find its exact parallel counterpart.
2
Identify the matching structure among the secondary list for the first argument.
The 'subterranean mammals' argument matches this structure precisely, refuting a universal negative with a single positive instance.
Matching the abstract structural components establishes the correct pair.
3
Analyze the 'rent control' argument's refutation method.
Structure identified: X is claimed to cause Y via mechanism Z. Counterexample shows X and Z occurring, but not Y.
Capturing the nuanced role of the mechanism (Z) is crucial to avoid misidentifying the parallel argument.
4
Locate the parallel structure for the 'rent control' argument.
The 'corporate mergers' argument aligns perfectly, showing a merger (X) and monopoly (Z) without a decrease in quality (Y).
Both demonstrate a failed causal prediction despite the presence of the explicitly assumed causal mechanism.

Key Concept

Parallel Reasoning with Counterexamples

Alternative Method

Instead of analyzing the primary list first, try symbolizing each argument using formal logic notation (e.g., A -> B). This strips away the context entirely and makes the structural matches visually obvious.
Estimated Time:3m 0s
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