A logic evaluation panel is analyzing the underlying deductive validity and structural patterns of four arguments concerning institutional governance and policy compliance. Which of the following correctly matches each argument with the abstract description of its logical structure or reasoning flaw?
- Argument 1: Any municipal transit authority that transitions entirely to hydrogen fuel-cell buses receives a federal sustainability endowment. The Metro City Transit Authority recently received a federal sustainability endowment. Therefore, Metro City Transit Authority must have transitioned entirely to hydrogen fuel-cell buses.A flawed conditional argument that treats an outcome guaranteed by an antecedent condition as if that outcome could only be brought about by that specific condition.
- Argument 2: Most hospital triage protocols implemented during the seasonal outbreak require rapid molecular diagnostic testing. Every protocol requiring rapid molecular diagnostic testing involves automated specimen barcode verification. Thus, at least some hospital triage protocols implemented during the outbreak involve automated specimen barcode verification.A valid quantifier deduction inferring a partial overlap between an initial category and a terminal property by linking a majority subset of the initial category to a universal rule.
- Argument 3: If a container terminal operates an automated quay crane network, it does not experience extended berthing delays during high tide. The East Harbor terminal experienced extended berthing delays during high tide. It follows that the East Harbor terminal does not operate an automated quay crane network.A valid contrapositive deduction that establishes the absence of an antecedent condition based on the occurrence of an outcome that the antecedent's presence would preclude.
- Argument 4: No proprietary software platform that uses an open-source cryptographic library is subject to mandatory source-code escrow under the digital trade pact. Some fintech transaction frameworks are subject to mandatory source-code escrow under the digital trade pact. Consequently, some fintech transaction frameworks are not proprietary software platforms that use an open-source cryptographic library.A valid categorical deduction demonstrating that because a property completely excludes all members of one group while applying to some members of a second group, those members of the second group do not belong to the first group.
Answer
Argument 1 matches the flawed conditional argument mistaking sufficient for necessary conditions; Argument 2 matches the valid quantifier deduction linking a majority subset to a universal rule; Argument 3 matches the valid contrapositive deduction from the denial of a necessary consequence; Argument 4 matches the valid categorical exclusion between mutually exclusive sets.
Each argument maps directly to its isomorphic deductive structure: Argument 1 demonstrates affirming the consequent (flawed conditional reversal); Argument 2 demonstrates a valid quantifier chain from 'most' and 'all' to 'some'; Argument 3 demonstrates Modus Tollens (contrapositive deduction); and Argument 4 demonstrates a valid categorical exclusion syllogism.
Step-by-Step Solution
Key Concept
Parallel reasoning and parallel flaw analysis requires mapping arguments to their underlying formal representations (conditional rules, quantifiers, and categorical exclusions) rather than relying on surface topic similarities.
Estimated Time:2m 30s