Carefully analyze the four arguments presented on the left. Match each stimulus to the abstract description on the right that most accurately identifies its pattern of reasoning or its logical flaw.
- If a medieval codex features both lapis lazuli illumination and a calfskin binding, its provenance can be definitively traced to the Saint-Martin scriptorium. The newly recovered Codex Aureus cannot be traced to the Saint-Martin scriptorium. Hence, the Codex Aureus must lack either lapis lazuli illumination or a calfskin binding.A sound deduction applying modus tollens to a premise wherein the antecedent comprises a conjunction of two discrete properties.
- Survival in the extreme pressure of the Mariana Trench abyss requires an organism to synthesize piezolyte proteins. The recently discovered amphipod Hirondellea gigas synthesizes massive quantities of piezolyte proteins. Clearly, Hirondellea gigas is uniquely adapted to survive in the extreme pressure of the Mariana Trench abyss.A flawed reasoning pattern that illicitly concludes that a sufficient condition has been met merely because an obligatory prerequisite has been satisfied.
- The vast majority of cryptographic hash functions utilizing a sponge construction are impervious to length-extension attacks. Furthermore, any cryptographic protocol impervious to length-extension attacks satisfies the strict security mandates of the newly proposed federal standard. It follows inevitably that most cryptographic hash functions utilizing a sponge construction satisfy the newly proposed federal standard's strict security mandates.A valid logical deduction deriving a restricted generalization by chaining a universal conditional claim with a claim governed by a majority quantifier.
- Each individual line of code in the autonomous trading algorithm was generated by an open-source routine that lacks any proprietary trade-secret protection. It is therefore evident that the comprehensive autonomous trading algorithm itself cannot qualify for proprietary trade-secret protection.A fallacious argument presuming that a property possessed by each constituent element of a system must necessarily be possessed by the system as an integrated whole.
Cevap
The medieval codex argument matches the modus tollens deduction; the deep-sea organism argument matches the flawed prerequisite deduction; the cryptography argument matches the restricted generalization deduction; and the trading algorithm argument matches the constituent element fallacy.
Each argument contains a distinct logical skeleton completely independent of its subject matter. The codex argument is a valid contrapositive applying De Morgan's laws. The deep-sea argument is a classic Necessary/Sufficient confusion. The cryptography argument is a valid 'Most-All' quantifier deduction. The algorithm argument is a Fallacy of Composition. The descriptions on the right perfectly articulate these structures using formal logical terminology.
Adım Adım Çözüm
Anahtar Kavram
Identifying isomorphic formal logic structures and specific logical flaws (Parallel Reasoning and Parallel Flaw)