Question

Difficulty: Very hardParallel Reasoning and Parallel Flaw

Carefully read the following five arguments. Pair each argument with the abstract description that most accurately identifies its structural pattern of reasoning or its specific logical defect.

  • If the new congestion pricing plan is enacted, downtown traffic will be reduced only if public transit capacity is expanded. The transit authority's budget was just severely cut, guaranteeing capacity cannot be expanded. Thus, if the congestion pricing plan is enacted, downtown traffic will not be reduced.Validly establishes a conditional conclusion by demonstrating that a requirement necessary for a specific outcome within that conditional relationship cannot be met.
  • All consistently profitable retail chains in this sector have implemented highly automated inventory management systems. Omnimart recently completed the rollout of a comprehensive automated inventory system across all its regional stores. Therefore, Omnimart is guaranteed to become a consistently profitable retail chain.Draws a flawed conclusion by treating a condition that is necessary for a particular status as though it were sufficient to guarantee that status.
  • Several species of amphibians in the coastal ecosystem have developed a physiological tolerance to the invasive fungus. Furthermore, several amphibian species in this ecosystem are currently experiencing a rapid population decline. Consequently, there must be at least one amphibian species in this ecosystem that has both developed a tolerance to the fungus and is experiencing a rapid population decline.Demonstrates flawed logic by unjustifiably presuming that two partial subsets of a broader category must necessarily intersect.
  • Any ethical framework grounded entirely in utilitarian principles will inevitably justify the infringement of personal liberties in extreme emergency situations. The newly drafted constitution's bill of rights absolutely prohibits the infringement of personal liberties under any circumstances. Therefore, the new constitution's bill of rights does not represent an ethical framework grounded entirely in utilitarian principles.Correctly applies a contrapositive inference to conclude that an entity lacks a given characteristic because it fails to exhibit a necessary consequence of that characteristic.
  • A municipal ordinance is considered legally enforceable if and only if it is approved by a majority vote of the city council and subsequently signed by the mayor. The recently drafted commercial zoning restriction was vetoed and never signed by the mayor. Thus, regardless of whether the city council overwhelmingly approved it, the zoning restriction is not legally enforceable.Validly determines that a specific classification does not apply by demonstrating the failure to satisfy one component of a compound necessary requirement.

Answer

The arguments logically map to their abstract structures as follows: The congestion pricing argument validly establishes a conditional conclusion based on a failed requirement. The Omnimart argument commits a necessary-versus-sufficient flaw. The amphibian argument unjustifiably presumes subset intersection. The philosophical argument uses a valid contrapositive deduction. The zoning restriction argument validly denies a compound necessary requirement.
Each argument stimulus has a unique logical structure that precisely corresponds to only one abstract characterization. The congestion pricing argument perfectly matches the description of establishing a conditional conclusion via a failed necessary condition. The Omnimart argument precisely demonstrates the necessary-for-sufficient flaw. The amphibian argument showcases the subset intersection fallacy. The philosophical argument is a textbook contrapositive application. The zoning restriction argument validly denies a compound condition.

Step-by-Step Solution

1
Analyze the public policy argument regarding congestion pricing.
Structure: A -> (B -> C); ~C; Therefore, A -> ~B. This is a valid conditional deduction.
To identify its logical mechanism: proving a necessary condition for a conditional outcome cannot be met.
2
Analyze the corporate argument regarding Omnimart.
Structure: A -> B; B is true; Therefore, A is true. This is a classic formal logic flaw.
To identify the confusion between a necessary condition and a sufficient condition.
3
Analyze the biological argument regarding amphibians.
Structure: Some X are Y; Some X are Z; Therefore, Some X are Y and Z. This is flawed quantitative reasoning.
To identify the unwarranted assumption that two independent partial subsets must intersect.
4
Analyze the philosophical argument regarding utilitarianism.
Structure: A -> B; ~B; Therefore, ~A. This is a valid application of modus tollens.
To identify the correct application of a contrapositive inference to deny a characteristic.
5
Analyze the legal argument regarding the zoning restriction.
Structure: A <-> (B and C); ~C; Therefore, ~A. This is a valid deduction based on compound requirements.
To identify that the failure of one part of an 'AND' necessary condition guarantees the failure of the outcome.

Key Concept

Parallel Reasoning and Parallel Flaw analysis requires abstracting the logical skeleton of an argument and accurately mapping it to a descriptive formal characterization.
Rate this question