Match each of the following deductive arguments with the statement that most accurately characterizes its structural validity, flaw, or underlying logical form:
- Any enzyme that catalyzes lipid synthesis requires a zinc cofactor. No protein synthesized without molecular chaperones can bind a zinc cofactor. Therefore, any enzyme that catalyzes lipid synthesis is synthesized with molecular chaperones.A valid deduction that links a sufficient condition to a necessary requirement by utilizing the contrapositive of an intermediate rule.
- A corporate merger will increase shareholder equity only if regulatory approval is granted prior to the close of the fiscal quarter. Because the regulatory agency granted approval prior to the quarter's close, the merger will definitely increase shareholder equity.A flawed inference that treats a necessary condition for a given outcome as though it were sufficient to guarantee that outcome.
- Most peer-reviewed climate models incorporate oceanic feedback loops. Every climate model that incorporates oceanic feedback loops requires supercomputing clusters to run simulations. Thus, all peer-reviewed climate models require supercomputing clusters to run simulations.A flawed inference that improperly escalates a quantifier from a majority subset to the universal totality of the category.
- An ancient bronze artifact was either smelted using high-arsenic copper ore or produced in an alloy furnace with imported tin. Chemical assay confirms the artifact contains no arsenic. If an artifact was produced with imported tin, it must exhibit localized lead clustering. Hence, the artifact must exhibit localized lead clustering.A valid deduction that eliminates one disjunctive alternative to establish a premise, which then triggers a subsequent conditional requirement.
Answer
The lipid synthesis argument matches the valid contrapositive chain deduction; the corporate merger argument matches the necessary-versus-sufficient conditional reversal defect; the climate model argument matches the illicit quantifier escalation from 'most' to 'all'; and the bronze artifact argument matches the valid disjunctive elimination followed by conditional deduction.
Each argument is paired with its exact formal logical characterization: the lipid argument uses valid contraposition and conditional transitivity; the merger argument commits a necessary-versus-sufficient reversal fallacy; the climate model argument commits a quantifier leap from 'most' to 'all'; and the artifact argument uses valid disjunctive elimination followed by conditional modus ponens.
Step-by-Step Solution
Key Concept
Dissecting formal deductive structures, conditional contraposition, disjunctive elimination, and distinguishing valid structural isomorphism from formal flaws such as conditional reversal and quantifier escalation.
Estimated Time:2m 0s