Analyze each of the logically flawed arguments below. Pair each argument with the abstract description that most precisely identifies its specific error in reasoning regarding the relationship between parts and wholes.
- The international banking consortium is highly resilient to sudden market fluctuations because it can rapidly distribute risk among its members. Thus, the individual regional banks that make up the consortium must themselves be highly resilient to sudden market fluctuations.Derives a conclusion about the properties of constituent entities from a property that characterizes their aggregate solely by virtue of how those entities interact.
- In the multi-stage purification of the experimental drug, each distinct filtration step eliminates exactly 50 percent of the remaining impurities. It is therefore guaranteed that the overall purification process will eliminate exactly 50 percent of the impurities.Takes for granted that a quantitative relationship applicable to each step in a sequence must also be applicable to the sequence taken as a whole.
- No single political action committee in the newly formed alliance has sufficient capital to fund a nationwide television campaign on its own. Therefore, the alliance as a whole lacks the capital required to fund such a campaign.Presumes, without providing justification, that a limitation shared by each member of a group individually is also a limitation of the group collectively.
- The theatrical ensemble's performance of the avant-garde play was widely condemned by critics as disjointed and devoid of emotional resonance. It follows that the lead actor's individual performance must have been disjointed and devoid of emotional resonance.Infers that a qualitative judgment of a collaborative output necessarily describes the individual efforts that comprise it.
- Every building material utilized in the construction of the new municipal archives—from the reinforced concrete to the specialized glass—is entirely non-combustible. Therefore, the completed archives building is entirely immune to the threat of fire.Concludes that a composite entity possesses a certain invulnerability simply because every physical substance from which it is constructed possesses that invulnerability.
Answer
Argument 1 pairs with the interaction-based division flaw. Argument 2 pairs with the quantitative sequence composition flaw. Argument 3 pairs with the collective incapacity composition flaw. Argument 4 pairs with the qualitative evaluation division flaw. Argument 5 pairs with the material immunity composition flaw.
Each argument represents a distinct manifestation of a part-to-whole or whole-to-part logical fallacy. By accurately identifying both the direction of the inference (Composition vs. Division) and the specific nature of the attributes being conflated (e.g., quantitative rates, subjective evaluations, physical invulnerability), each argument can be uniquely mapped to its structurally precise abstract description.
Step-by-Step Solution
Key Concept
Identifying the structural direction (Composition vs. Division) and specific contextual mechanisms of logical fallacies regarding parts and wholes.
Estimated Time:3m 0s