Match each argument excerpt to the accurate description of its logical structure or flaw.
- Horticulturist: A specific plant species will thrive in this greenhouse only if the humidity is maintained above sixty percent. The greenhouse humidity is currently maintained above sixty percent. Therefore, we can be certain that this plant species will thrive.Treats a condition that is necessary for a given outcome as though it were sufficient to guarantee that outcome.
- Education Administrator: Any student who successfully completes the immersive language program achieves fluency. Liam did not successfully complete the immersive language program. Thus, it is inevitable that Liam will not achieve fluency.Infers that an outcome will not occur solely on the grounds that a condition sufficient to guarantee that outcome is absent.
- Political Analyst: The transportation committee will approve the new transit budget only if the mayor publicly supports it. However, the mayor has made it clear she does not publicly support the budget. Consequently, the transportation committee will definitely not approve it.Properly deduces that a phenomenon will not occur by establishing the absence of a condition required for that phenomenon.
- Financial Reporter: Unless the national trade deficit decreases significantly, the currency's value will remain volatile. Recent economic reports confirm the national trade deficit has not decreased significantly. Therefore, the currency's value will remain volatile.Correctly concludes that a specific result will occur by establishing the presence of a condition sufficient to guarantee that result.
Cevap
The correct matches map the Horticulturist to treating a necessary condition as sufficient (Illegal Reversal), the Education Administrator to inferring an outcome will not occur because a sufficient condition is absent (Illegal Negation), the Political Analyst to properly deducing the absence of an outcome from the absence of a required condition (Valid Contrapositive), and the Financial Reporter to correctly concluding a result from the presence of a sufficient condition (Valid Modus Ponens).
Each argument excerpt demonstrates a specific application of conditional logic. The Horticulturist commits an Illegal Reversal by treating a necessary condition ('humidity above sixty percent') as sufficient. The Education Administrator commits an Illegal Negation by assuming the absence of one sufficient condition ('completes the program') guarantees the outcome will not occur. The Political Analyst forms a valid contrapositive, properly concluding the absence of the outcome from the failure of the necessary condition ('mayor publicly supports it'). The Financial Reporter makes a valid deduction (Modus Ponens) from an 'unless' statement, properly inferring the outcome from the presence of the sufficient condition ('deficit has not decreased').
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Necessary vs. Sufficient Condition Flaws and Valid Conditional Reasoning
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