Question

Difficulty: HardIdentifying Necessary Assumptions

Consider the following argument:

To revitalize its struggling economy, the town council of Bellville plans to offer substantial tax incentives to attract major tech companies. The council reasons that because tech companies employ high-earning professionals, the relocation of these companies will bring new wealthy residents to Bellville. These new residents will spend their money at local businesses, thereby providing the significant economic boost the town needs.

Statement to evaluate:
The argument necessarily assumes that the high-earning professionals employed by these tech companies will spend a larger percentage of their income at local Bellville businesses than the town's current residents do.

Answer: Answer

Answer

False
The statement is false because it describes a condition that is not logically necessary for the conclusion to hold. The argument requires a significant absolute increase in local spending to boost the economy. Because the tech professionals are 'high-earning,' they could spend a smaller percentage of their income locally than current residents do, yet still spend a much larger absolute amount of money. Applying the Negation Technique: if the professionals do NOT spend a larger percentage of their income locally, the conclusion that the town will receive a significant economic boost can still hold true. Thus, the assumption is not strictly necessary.

Step-by-Step Solution

1
Identify the core conclusion of the argument.
The conclusion is that attracting tech companies and their employees will provide a significant economic boost to Bellville's local businesses.
Understanding the exact claim being made is necessary to determine what assumptions are required to support it.
2
Identify the premises supporting the conclusion.
The argument states that tech companies employ high-earning professionals who will move to the town and spend their money at local businesses.
Premises reveal the evidence used to bridge the gap to the conclusion.
3
Apply the Negation Technique to the statement being evaluated.
Negated statement: The high-earning professionals will NOT spend a larger percentage of their income locally than current residents do (meaning they will spend an equal or smaller percentage).
The Negation Technique is the definitive test for a necessary assumption. If negating the statement destroys the argument, the statement is necessary.
4
Evaluate the impact of the negated statement on the argument.
Even if the new professionals spend a smaller percentage of their income, their much higher total incomes mean they could still spend a massive absolute dollar amount locally. The conclusion does not collapse.
Because the argument's conclusion can still be true even when the statement is false, the statement is not a necessary assumption.

Key Concept

Identifying Necessary Assumptions via the Negation Technique
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