Examkin

Question

Difficulty: Very hardStatement and Conclusions or Inferences

A municipal planning board operates under the following regulatory principles regarding the Federal Sustainability Grant:

I. Any urban redevelopment initiative that secures the grant must have successfully demonstrated a net-zero carbon footprint during its pilot phase.
II. An initiative is entirely ineligible for the grant unless it exclusively relies on renewable energy matrices for its operational design.
III. The 'Sector-7' redevelopment initiative has completed a pilot phase with a verified net-zero carbon footprint and utilizes a 100% renewable energy matrix.

Based strictly on these regulatory principles, it is a valid logical derivation to conclude that the 'Sector-7' initiative has successfully secured the Federal Sustainability Grant.

Answer: Answer

Answer

False. Meeting the necessary conditions does not logically guarantee the final outcome.
The derivation is logically invalid (False). The regulatory principles outline necessary conditions (net-zero footprint, renewable energy) that an initiative must meet to be considered for the grant. While Sector-7 meets these specific prerequisites, the principles never state that these two factors alone are sufficient to automatically secure the grant.

Step-by-Step Solution

1
Analyze Principle I to determine the logical relationship established.
Securing the grant requires a net-zero carbon footprint (Grant -> Net-Zero).
The phrase 'must have successfully demonstrated' indicates a mandatory prerequisite, not a guarantee.
2
Analyze Principle II to determine its logical constraints.
Securing the grant requires exclusive use of renewable energy (Grant -> Renewable).
The phrase 'ineligible... unless' reinforces that renewable energy is another mandatory prerequisite.
3
Evaluate the facts provided about Sector-7 in Principle III.
Sector-7 satisfies both the 'Net-Zero' and 'Renewable' prerequisites.
To verify if Sector-7 meets the known criteria for the grant.
4
Determine if fulfilling these criteria makes the derivation logically valid.
The derivation is invalid. Fulfilling necessary conditions does not mean the sufficient conditions are met.
Assuming that a subject achieves an outcome simply because it meets some required prerequisites is a formal logical fallacy.

Key Concept

Differentiating between necessary prerequisites and sufficient conditions in formal logic.
Rate this question

Topics

Statement and Conclusions or Inferences

More questions from this topic