Analyze each of the following logical arguments regarding a proposed city library project. Match each argument with the sufficient assumption that logically guarantees its conclusion.
- The new library will be constructed only if the federal grant is approved. The federal grant has just been approved. Thus, construction on the new library will undoubtedly begin.Approval of the federal grant is all that is required to ensure the construction of the new library.
- If the city council approves the rezoning, the new library will be constructed. The mayor has expressed her full support for the project. Therefore, the new library will be constructed.The mayor's endorsement of the project guarantees that the city council will approve the rezoning.
- Constructing the new library will revitalize the downtown area. As a direct result, the city's overall tax revenue will experience a significant increase.Any revitalization of the downtown area inevitably leads to a significant increase in the city's tax revenue.
- Unless the old community center is demolished, the new library cannot be constructed. The historical society has successfully blocked the demolition. Therefore, the federal grant will surely be revoked.Failing to construct the new library guarantees the revocation of the federal grant.
Answer
Argument 1 matches with 'Approval of the federal grant is all that is required...'; Argument 2 matches with 'The mayor's endorsement of the project guarantees...'; Argument 3 matches with 'Any revitalization of the downtown area inevitably leads...'; Argument 4 matches with 'Failing to construct the new library guarantees...'
Each argument contains a specific logical gap that must be closed for its conclusion to be strictly justified. The correct pairs provide the exact conditional bridge (A -> B) needed to connect the disjointed premises to their respective conclusions.
Step-by-Step Solution
Key Concept
Identifying Sufficient Assumptions