Analyze the flawed conditional reasoning in the arguments on the left and pair each with the precise diagnostic description of its logical error on the right.
- Acquiring a commercial broadcasting license requires compliance with federal bandwidth regulations, and one can comply with these regulations only by utilizing adaptive signal encryption. Thus, any broadcaster who utilizes adaptive signal encryption will successfully acquire a commercial broadcasting license.Presumes, without providing justification, that a condition necessary to satisfy a prerequisite for a given status is also sufficient to guarantee that status.
- Whenever a municipal government issues municipal bonds, public infrastructure spending increases. Moreover, increased public infrastructure spending invariably leads to temporary localized inflation. Therefore, if a municipal government refrains from issuing municipal bonds, temporary localized inflation will not occur.Infers the nonoccurrence of an ultimate consequence from the absence of a condition that, if present, would initiate a causal chain guaranteeing that consequence.
- Unless a theoretical physicist publishes in peer-reviewed journals, their hypotheses will not gain traction in the academic community. Dr. Kael has published numerous papers in elite peer-reviewed journals this year, guaranteeing that her new hypotheses will gain widespread academic traction.Treats the satisfaction of a condition without which an outcome cannot be achieved as a condition that, once met, definitively secures that outcome.
- Any novel algorithm that optimally compresses genomic data will fundamentally transform bioinformatics. The 'K-Fold' algorithm, despite its computational complexity, does not optimally compress genomic data. Consequently, the 'K-Fold' algorithm will fail to fundamentally transform bioinformatics.Concludes that because a specific condition sufficient to bring about a certain result is lacking, that result cannot possibly be brought about.
Answer
The arguments map to the flaws as follows: The broadcasting license argument maps to presuming a necessary condition for a prerequisite is sufficient. The municipal bonds argument maps to inferring nonoccurrence from the absence of a chain-initiating condition. The physicist argument maps to treating a condition without which an outcome cannot be achieved as definitively securing it. The algorithm argument maps to concluding a result cannot occur because a sufficient condition is lacking.
Each argument commits a specific variation of confusing necessary and sufficient conditions. The broadcasting argument performs a reversal on a chain of conditions. The bonds argument performs a negation on a chain. The physicist argument performs a simple reversal based on an 'unless' statement. The algorithm argument performs a simple negation.
Step-by-Step Solution
Key Concept
Necessary vs. Sufficient Condition Flaws
Estimated Time:3m 0s