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Zorluk: OrtaParallel Reasoning and Parallel Flaw

Acoustics Consultant: Every concert hall designed for unamplified orchestral performances is required to have a reverberation time of at least two seconds. The newly renovated municipal auditorium has a reverberation time of 2.2 seconds. Thus, the municipal auditorium must have been designed for unamplified orchestral performances.

Which of the following arguments exhibits a flawed pattern of reasoning most similar to that exhibited by the argument above?

  1. A
    Every recording studio intended for high-fidelity vocal tracking must install double-pane soundproof glass. The podcast booth on the second floor does not have double-pane soundproof glass. Therefore, the podcast booth cannot be intended for high-fidelity vocal tracking.
  2. B
    Most commercial maritime vessels that navigate arctic shipping lanes must be equipped with reinforced icebreaking hulls. The cargo carrier Polaris is equipped with a reinforced icebreaking hull. Therefore, the Polaris must navigate arctic shipping lanes.
  3. Every certified organic vineyard in the valley is required to use a drip irrigation system. The hillside vineyard owned by the agricultural cooperative uses a drip irrigation system. Thus, the cooperative's hillside vineyard must be a certified organic vineyard.Cevap
  4. D
    Every heirloom seed variety preserved in the national agricultural repository is resistant to rust fungus. The wild legume species recently collected from the canyon is not preserved in the national agricultural repository. Thus, this wild legume species cannot be resistant to rust fungus.
  5. E
    Every certified master watchmaker must complete a multi-year apprenticeship in micro-mechanics. Julian is currently completing a multi-year apprenticeship in micro-mechanics, which indicates that he intends to enter the trade. Therefore, Julian will soon become a master watchmaker.

Cevap

The argument concluding that the cooperative's hillside vineyard must be certified organic because it uses a drip irrigation system exhibits the identical pattern of flawed reasoning.
The correct argument replicates the exact formal structure and flaw of the stimulus: it establishes a conditional rule that all members of a category require a specific feature (All A require B), observes that an individual entity possesses that required feature (X has B), and invalidly concludes that the entity must belong to that category (therefore, X is A). This treats a necessary condition as though it were sufficient.

Adım Adım Çözüm

1
Analyze the formal logical structure of the stimulus argument.
Premise 1: Designed for unamplified orchestral performances (A) -> Reverberation time of at least two seconds (B). Premise 2: Municipal auditorium has B. Conclusion: Municipal auditorium is A.
Deconstructing the argument into abstract conditional terms clarifies the exact logical flaw.
2
Identify the underlying logical flaw in the stimulus.
Mistaken Reversal (Affirming the Consequent / Confusing a necessary condition with a sufficient condition).
Having a reverberation time of two seconds is a necessary requirement for concert halls, but satisfying this requirement alone does not guarantee that a facility was designed for that purpose.
3
Evaluate the choices to locate an argument with the identical quantifier strength, modal certainty, and conditional flaw.
The argument about the organic vineyard matches the structure: All Certified Organic (A) -> Drip Irrigation (B); Hillside Vineyard has B; Therefore, Hillside Vineyard is A.
Only this option exhibits an exact structural isomorphism of affirming the consequent with universal quantifiers.

Anahtar Kavram

Parallel Flaw: Mistaken Reversal (Affirming the Consequent)
Tahmini Süre:1m 30s
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Konular

Parallel Reasoning and Parallel Flaw

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