Question

Difficulty: Very hardStrengthen

Below are four distinct logical arguments (Left) and four highly abstract premises (Right). Match each argument to the single premise that provides the most robust logical strengthening by identifying and patching a critical gap in the argument's reasoning.

  • Historian: A newly unearthed 12th12^{\text{th}}-century manuscript features text written in an iron-gall ink whose unique spectroscopic signature perfectly matches the ink synthesized exclusively at the St. Jude monastery. Consequently, we can definitively conclude that this manuscript was authored by monks residing at St. Jude.The distinct chemical materials required to produce the substance in question were strictly guarded and never exported, gifted, or traded beyond the immediate confines of the location where they were synthesized.
  • Medical Researcher: An observational study spanning ten years demonstrates that older adults who routinely engage in solving cryptic crosswords exhibit a measurably slower rate of age-related cognitive decline compared to those who abstain from such puzzles. This confirms that solving cryptic crosswords actively preserves cognitive function.Individuals in the demographic studied are not more likely to adopt the habit in question simply because they possess an inherent, pre-existing physiological resistance to the condition being measured.
  • Economist: Following the government's introduction of a targeted tax subsidy for small enterprises investing in renewable energy infrastructure, the aggregate national expenditure on renewable technologies by all businesses surged by 40%40\%. The subsidy clearly succeeded in motivating small enterprises to adopt green technology.Entities that did not qualify for the new fiscal policy, despite historically dominating total market volume, experienced no growth in their relevant sector expenditures during the observed period.
  • Ecologist: The native red squirrel population in the highland pine forest has plummeted since the invasive grey squirrel was introduced. Because grey squirrels forage more rapidly and consume the exact same seeds, the red squirrel's decline is undoubtedly attributable to starvation caused by this fierce dietary competition.The recently established animal population did not introduce any novel transmissible pathogens that are lethal to the pre-existing indigenous population.

Answer

The correct pairings match the Historian to the premise regarding unexported materials, the Medical Researcher to the premise ruling out baseline physiological resistance, the Economist to the premise noting no growth in ineligible segments, and the Ecologist to the premise ruling out novel pathogens.
Each correct pairing provides an abstract premise that explicitly patches a specific logical gap in the corresponding argument. The Historian's gap regarding ink distribution is closed by ruling out exports. The Medical Researcher's reverse-causality gap is closed by confirming the habit isn't chosen due to pre-existing health. The Economist's whole-to-part gap is closed by showing that non-subsidized segments did not contribute to the aggregate growth. The Ecologist's alternative-cause gap is closed by eliminating disease as a factor.

Step-by-Step Solution

1
Analyze the Historian's argument for unstated assumptions.
The argument assumes that St. Jude's exclusive ink could not have been used by anyone outside the monastery.
Identifying the gap in evidence transmission is the first step to strengthening the historical claim.
2
Identify the strengthening premise for the Historian.
The premise stating that the unique materials were never exported or traded perfectly addresses the gap.
Ruling out the possibility of outside use ensures only St. Jude monks could have authored the manuscript.
3
Analyze the Medical Researcher's argument.
The argument assumes causation from correlation, ignoring the possibility of reverse causality.
In observational health studies, one must prove the activity caused the health benefit, not that healthier people simply chose the activity.
4
Identify the strengthening premise for the Medical Researcher.
The premise stating that individuals do not adopt the habit due to pre-existing physiological resistance closes the reverse-causality gap.
This confirms the causal direction runs from the puzzle to cognitive health, not vice versa.
5
Analyze the Economist's argument.
The argument assumes that a 40%40\% aggregate increase was driven exclusively by the small enterprises that received the subsidy.
A whole-to-part logical gap exists when aggregate data is used to prove a claim about a specific subset.
6
Identify the strengthening premise for the Economist.
The premise stating that ineligible market segments experienced no growth proves the aggregate growth must have come from the subsidized segment.
Eliminating the alternative source of the aggregate increase directly supports the conclusion.
7
Analyze the Ecologist's argument.
The argument assumes the decline of red squirrels is exclusively due to starvation from competition.
Causal claims based on a sequence of events must rule out alternative causal mechanisms.
8
Identify the strengthening premise for the Ecologist.
The premise ruling out novel transmissible pathogens eliminates disease as an alternative cause.
Ruling out an alternative cause (disease) significantly strengthens the proposed cause (starvation).

Key Concept

Strengthening causal and statistical arguments by systematically ruling out alternative explanations, reverse causality, and confounding variables.
Estimated Time:3m 0s
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