A city planner is outlining the causal dependencies of a proposed urban renewal project. Order the following propositions to establish a continuous, unbroken logical chain proving that passing the new zoning ordinance guarantees the expansion of the rail network.
- 1A failure to approve high-density residential construction indicates with certainty that the city council did not pass the new zoning ordinance.
- 2Approving high-density residential construction will always result in an increase in the population density in the downtown sector.
- 3If a major retail conglomerate decides against opening a flagship store, one can conclude that the population density in the downtown sector did not increase.
- 4The opening of a flagship store by a major retail conglomerate will inevitably lead to the regional transit authority expanding the rail network.
Cevap
The correct logical progression starts with the contrapositive of the zoning approval failure (Ordinance → Construction), follows directly to the density increase (Construction → Density), uses the contrapositive of the retail store failure (Density → Retail), and concludes directly with the transit expansion (Retail → Transit).
The correct sequence successfully maps the conditional relationships, translating contrapositives where necessary, to form a continuous transitive chain. It moves from Ordinance → Construction (via contrapositive), then Construction → Density (direct translation), then Density → Retail (via contrapositive), and finally Retail → Transit Expansion (direct translation).
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Anahtar Kavram
Diagramming Conditional Statements and Contrapositives