Question

Difficulty: MediumSufficient Assumption

An astrobiologist constructs a formal deductive argument to establish the habitability potential of a planetary body. Complete the argument by identifying the missing premise that logically and deductively guarantees the truth of the conclusion.

Answer:Premise 1: Every marine hydrothermal system that exhibits active serpentinization produces continuous alkaline fluid emissions.
Premise 2: The benthic floor of the Kraken Mare basin exhibits active serpentinization.
Premise 3: Any geological formation that produces continuous alkaline fluid emissions is 【viable for prebiotic amino acid synthesis】.
Conclusion: Therefore, the benthic floor of the Kraken Mare basin is viable for prebiotic amino acid synthesis.

Answer

The missing premise must establish that producing continuous alkaline fluid emissions is sufficient to make a geological formation viable for prebiotic amino acid synthesis.
The argument establishes two links: the benthic floor of Kraken Mare exhibits active serpentinization (KM -> AS), and active serpentinization produces continuous alkaline fluid emissions (AS -> AFE), which yields the intermediate deduction that the benthic floor of Kraken Mare produces alkaline fluid emissions (KM -> AFE). To guarantee the conclusion that the benthic floor is viable for prebiotic amino acid synthesis (KM -> PAAS), the missing premise must provide a 100% deductive bridge from alkaline fluid emissions to viability for prebiotic amino acid synthesis (AFE -> PAAS).

Step-by-Step Solution

1
Isolate and diagram the explicit premises and conclusion.
Premise 1: Active Serpentinization (AS) -> Alkaline Fluid Emissions (AFE). Premise 2: Kraken Mare Benthic Floor (KM) -> Active Serpentinization (AS). Conclusion: Kraken Mare Benthic Floor (KM) -> Viable for Prebiotic Amino Acid Synthesis (PAAS).
Mapping the conditional chain reveals the formal inferential gap between the established intermediate term and the target conclusion predicate.
2
Chain the existing premises together.
KM -> AS and AS -> AFE yield the combined valid sub-inference: KM -> AFE (The benthic floor of Kraken Mare produces continuous alkaline fluid emissions).
This establishes what is already proven about the subject of the conclusion before adding any new assumption.
3
Determine the conditional bridge required to reach the conclusion 100% deductively.
We have KM -> AFE, and we must reach KM -> PAAS. The required sufficient bridge is AFE -> PAAS (Any formation that produces continuous alkaline fluid emissions is viable for prebiotic amino acid synthesis).
Connecting the intermediate characteristic (AFE) directly to the conclusion property (PAAS) completes a fully valid hypothetical syllogism.

Key Concept

Sufficient Assumption conditional bridging (Hypothetical Syllogism)
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