Soru

Zorluk: KolayBridging Gap (Supporter) Assumptions

City Councilmember: The upcoming renovation of the historic downtown theater will utilize only locally sourced building materials. Therefore, the theater renovation will significantly boost the region's economy.

Which of the following statements function as valid supporter assumptions required to bridge the logical gap between the premise and the conclusion? Select all that apply.

  1. Utilizing only locally sourced building materials guarantees a significant boost to a region's economy.Cevap
  2. B
    Any project that significantly boosts the region's economy utilizes only locally sourced building materials.
  3. An initiative that does not significantly boost the region's economy does not utilize exclusively locally sourced building materials.Cevap
  4. D
    The historic downtown theater is the most economically important building in the region.
  5. E
    Locally sourced building materials are generally less expensive to transport than imported materials.

Cevap

The correct statements are the one affirming that utilizing local materials guarantees an economic boost, and its logical contrapositive, which states that failing to boost the economy means exclusive local materials were not used.
To prove the conclusion that the renovation will boost the economy based solely on the fact that it uses local materials, one must assume that using local materials guarantees an economic boost. One correct option states this directly. The other correct option states the exact same logical rule in contrapositive form: if the economy wasn't boosted, local materials weren't exclusively used.

Adım Adım Çözüm

1
Identify the argument's premise and conclusion.
Premise: The renovation will use only locally sourced building materials. Conclusion: The renovation will significantly boost the economy.
Separating the core components of the argument is necessary to spot the logical jump.
2
Identify the rogue elements (the logical gap).
The premise introduces 'locally sourced building materials', but the conclusion introduces a new concept: 'significantly boost the region's economy'.
A supporter assumption must explicitly connect the new concept in the conclusion back to the evidence in the premise.
3
Formulate the missing link and evaluate the options.
The necessary link is 'locally sourced materials -> boosts economy'. We must find options that match this logic directly or via a valid contrapositive ('not boosted -> not locally sourced').
Multiple phrasing variations can express the exact same logical relationship required to validate the argument.

Anahtar Kavram

In a gap-bridging (supporter) assumption question, the correct answer explicitly connects a 'rogue' element in the conclusion to an element established in the premises. This link can be expressed as a direct conditional statement or its logical contrapositive.
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