Question

Difficulty: HardSufficient Assumption

Read the argument and complete the missing premise that makes the conclusion follow logically with absolute deductive certainty.

Answer:Biochemist: Any metabolic enzyme that requires zinc cofactor binding is structurally destabilized at temperatures exceeding 45°C. The newly isolated bacterial protease P-329 remains structurally stable at 50°C. Therefore, P-329 cannot catalyze peptide bond hydrolysis under physiological conditions.

The biochemist's conclusion follows logically if it is assumed that any metabolic enzyme that catalyzes peptide bond hydrolysis under physiological conditions 【requires zinc cofactor binding】.

Answer

requires zinc cofactor binding
The premises establish that protease P-329 remains stable at 50°C, which by contrapositive of the first premise proves that P-329 does not require zinc cofactor binding. The conclusion asserts that P-329 cannot catalyze peptide bond hydrolysis under physiological conditions. For this conclusion to follow necessarily, lacking zinc cofactor binding must be sufficient to prevent catalytic activity, meaning that requiring zinc cofactor binding is a necessary requirement for catalysis. Therefore, assuming that any enzyme that catalyzes peptide bond hydrolysis requires zinc cofactor binding enables the valid deductive inference: Catalyzes Hydrolysis -> Requires Zinc -> Destabilized >45°C. Since P-329 is stable at 50°C, it cannot require zinc, and thus cannot catalyze hydrolysis.

Step-by-Step Solution

1
Analyze and diagram the explicit premises given in the stimulus.
Premise 1: Requires zinc cofactor binding -> Destabilized above 45°C. Contrapositive: Stable at or above 45°C -> Does not require zinc cofactor binding. Premise 2: P-329 is stable at 50°C. Combining these yields the intermediate deduction: P-329 does not require zinc cofactor binding.
Establishing what is strictly proven by the premises reveals the exact starting point of the inferential gap.
2
Identify the conclusion and isolate the logical gap.
Conclusion: P-329 cannot catalyze peptide bond hydrolysis under physiological conditions. The intermediate deduction establishes that P-329 lacks zinc cofactor binding, but the argument concludes that P-329 lacks the ability to catalyze peptide bond hydrolysis.
A sufficient assumption must provide a universal bridge connecting the established condition (does not require zinc cofactor binding) to the final conclusion (cannot catalyze peptide bond hydrolysis).
3
Construct the missing bridge premise in the required conditional format.
To deduce that lacking zinc cofactor binding guarantees inability to catalyze hydrolysis, we need: No zinc cofactor binding -> Cannot catalyze hydrolysis. The contrapositive of this bridge is: Catalyzes peptide bond hydrolysis -> Requires zinc cofactor binding.
The stem frames the assumption starting with 'any metabolic enzyme that catalyzes peptide bond hydrolysis under physiological conditions...', requiring the completion 'requires zinc cofactor binding' to complete the valid chain.

Key Concept

Sufficient Assumption Deductive Bridging
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