A city council should approve a commercial development in the historic district only if the development preserves the original facades of all existing structures. Furthermore, the development should be approved only if it meets at least one of the following two conditions: it provides affordable housing units, or it does not require a municipal tax subsidy. However, if a development preserves the original facades, provides affordable housing, and does not require a tax subsidy, the council must approve it.
Which one of the following judgments most closely conforms to the principle stated above?
- AThe Apex Building development preserved the original facades of all existing structures and provided affordable housing units. Therefore, the city council was required to approve the Apex Building development.
- BThe Horizon Plaza development did not provide affordable housing units and required a municipal tax subsidy. Therefore, the Horizon Plaza development did not preserve the original facades of all existing structures.
- The Silver Tower development was approved by the city council but required a municipal tax subsidy. Therefore, the Silver Tower development must have provided affordable housing units and preserved the original facades of all existing structures.Cevap
- DThe city council did not approve the Crestview development, even though it preserved the original facades of all existing structures. Therefore, the Crestview development must have failed to provide affordable housing units and required a municipal tax subsidy.
- EThe city council approved the Beacon Complex, and the development provided affordable housing units. Therefore, the Beacon Complex must not have required a municipal tax subsidy.
Cevap
The judgment regarding the Silver Tower development, which concludes that because it was approved but required a municipal tax subsidy, it must have provided affordable housing units and preserved the original facades.
The correct answer accurately applies the necessary conditions for approval established in the stimulus. We are told that approval requires preserving original facades AND either providing affordable housing or not requiring a tax subsidy. Because this specific development was approved, all of these necessary conditions must have been met. Since it did require a tax subsidy, it failed one half of the 'either/or' condition. Therefore, to satisfy the logical requirement, it absolutely must have fulfilled the other half by providing affordable housing. It also must have met the baseline requirement of preserving the original facades.
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Anahtar Kavram
Applying complex formal logic, specifically tracking compound necessary and sufficient conditions, evaluating disjunctions (OR statements), and forming proper contrapositives.