A municipal policy research team is evaluating four arguments concerning urban infrastructure and planning. Match each argument on the left with its corresponding abstract logical pattern or fallacy on the right.
- Commercial Density Argument: Every commercial district that expands its pedestrian plazas experiences a marked decrease in retail storefront vacancy. The Riverside corridor experienced a marked decrease in retail storefront vacancy this year; therefore, the Riverside corridor must have expanded its pedestrian plazas.Inferring that a sufficient condition has occurred merely from the premise that the necessary condition associated with it has been satisfied.
- Historic Preservation Argument: Any municipal redevelopment proposal that alters historic facade architecture requires explicit authorization from the landmarks commission. The proposed Northgate development did not receive authorization from the landmarks commission; thus, the Northgate development does not alter historic facade architecture.Deducing that a sufficient condition did not occur based solely on the fact that a necessary condition failed to occur.
- Transit Systems Argument: Most metropolitan light-rail networks receive state infrastructural subsidies, and most metropolitan light-rail networks utilize regenerative braking systems. It follows that some public transit networks utilizing regenerative braking systems receive state infrastructural subsidies.Inferring that two characteristics must overlap in some instances because each characteristic applies to a majority of members in a shared reference class.
- Stormwater Management Argument: If a municipality's civil drainage network lacks permeable catchment basins, that municipality will experience recurrent surface flooding during torrential rainfall. The city of Fairview has installed permeable catchment basins throughout its drainage network; consequently, Fairview will not experience recurrent surface flooding during torrential rainfall.Concluding that an outcome will not occur based on the premise that a condition sufficient to guarantee that outcome has not been met.
Cevap
The Commercial Density Argument matches the pattern of inferring a sufficient condition from a satisfied necessary condition; the Historic Preservation Argument matches deducing that a sufficient condition did not occur from a failed necessary condition; the Transit Systems Argument matches inferring an overlap between two majority characteristics in a shared class; and the Stormwater Management Argument matches concluding an outcome will not occur because a sufficient condition was not met.
Each argument is mapped precisely to its underlying logical form: the first commits an affirmation of the consequent (mistaking a necessary result for a sufficient cause), the second performs a valid contrapositive deduction (denial of the consequent yielding denial of the antecedent), the third performs a sound quantifier intersection derived from two overlapping majorities, and the fourth commits a denial of the antecedent (assuming a sufficient trigger is strictly necessary for the outcome).
Adım Adım Çözüm
Anahtar Kavram
Parallel reasoning requires isolating the abstract structural framework—conditional rules, contrapositives, formal fallacies, and quantifier relationships—independent of topical content.