Question

Difficulty: MediumNecessary Assumption

Each excerpt below presents an academic argument that relies on an unstated premise. Match each argument with the implicit assumption on which its conclusion necessarily depends.

  • Marine Geochemist: Benthic foraminifera shells preserved in deep-sea sediment cores show marked spikes in barium-to-calcium ratios specifically during deglaciation phases. Because continental river runoff is the primary global source of dissolved barium entering ocean basins, pulses of intense glacial meltwater discharge must have reached the deep abyss during these climate transitions.The elevated barium concentrations recorded in deep-sea foraminifera shells were not primarily the result of post-depositional chemical migration within the seafloor sediments.
  • Phonologist: Infants raised in bilingual households maintain the ability to distinguish non-native tonal contrasts significantly longer into infancy than do infants raised in monolingual households. Because exposure to diverse acoustic pitch contours is known to delay perceptual narrowing, infant-directed speech in bilingual environments must possess acoustic pitch variations that monolingual speech lacks.The prolonged retention of tonal discrimination in bilingual infants is not predominantly driven by domain-general attentional adaptations that arise from navigating two linguistic systems.
  • Economist: Following a municipal fee levied on single-use beverage containers, discarded container litter along public riverbanks dropped by 40 percent in six months. Because municipal sanitation schedules and cleanup budgets remained completely unchanged, the fee must have successfully motivated consumers to curtail their container usage or utilize proper recycling receptacles.The observed decline in riverbank container debris was not largely caused by third-party collectors gathering the discarded containers to salvage material value.

Answer

Each argument correctly matches its corresponding defender assumption: the marine geochemistry argument depends on the assumption that sediment chemical alteration did not produce the barium signal; the phonology argument depends on the assumption that non-acoustic cognitive mechanisms did not cause the perceptual delay; and the economics argument depends on the assumption that third-party collectors did not remove the litter after disposal.
For each pair, the right-hand statement functions as a vital defender assumption. Applying the Negation Test confirms their necessity: if post-depositional seafloor processes created the barium spikes, the geochemist's inference that surface meltwater penetrated the abyss is unsupported; if domain-general attention accounts for prolonged tonal discrimination, the phonologist's claim about acoustic properties in bilingual speech is unjustified; if third-party salvagers cleaned up the cans, the economist's claim regarding changed consumer habits is unwarranted.

Step-by-Step Solution

1
Identify the conclusion and primary evidence in each argument on the left.
The geochemist infers meltwater penetration from shell chemistry; the phonologist infers unique acoustic contours in speech from auditory performance; the economist infers changed consumer disposal behavior from reduced litter counts.
Establishing the precise logical leap in each argument isolates what must be true for the author's reasoning to stand.
2
Apply the Negation Test to determine which unstated assumption is strictly required by each argument.
Negating the geochemist's match (post-depositional migration did cause the barium) invalidates the runoff conclusion; negating the phonologist's match (domain-general attentional adaptations caused the retention) invalidates the speech-input inference; negating the economist's match (scavengers collected the containers) breaks the link between litter reduction and consumer behavioral change.
A necessary assumption must fatally undermine the conclusion when logically negated.
3
Match each argument ID to its corresponding necessary assumption ID.
Pair the geochemist's argument with the sediment migration assumption, the phonologist's argument with the cognitive mechanism assumption, and the economist's argument with the third-party collector assumption.
Ensures all one-to-one logical dependencies are correctly paired without mismatching across domains.

Key Concept

Necessary Assumption (Defender Model and the Negation Test)
Estimated Time:1m 30s
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