Soru

Zorluk: OrtaMust Be True / Most Strongly Supported

Geological field surveys in the Southern Volcanic Zone established the following facts regarding quaternary sediment samples:

• Every sediment core extracted from the caldera basin contains rhyolitic tephra layers only if it exhibits vesicular pumice clasts.
• Any sediment core that exhibits vesicular pumice clasts contains traces of titanomagnetite.
• If a sediment core contains traces of titanomagnetite, it was deposited during an explosive plinian eruption cycle.
• Sediment Core V-12 is a quaternary sediment core extracted from the caldera basin and contains rhyolitic tephra layers.

Statement: Sediment Core V-12 was deposited during an explosive plinian eruption cycle.

Cevap: Cevap

Cevap

True
Evaluating the statement as True is correct because the factual premises establish an unbroken conditional chain starting from a caldera basin core with rhyolitic tephra and ending with deposition during an explosive plinian eruption cycle. Since Sediment Core V-12 satisfies the initial condition, the conclusion is deductively certain.

Adım Adım Çözüm

1
Formalize the conditional statements provided in the stimulus.
(Caldera basin core AND rhyolitic tephra) → vesicular pumice clasts → titanomagnetite → deposited during an explosive plinian eruption cycle.
Establishing the valid logical chain allows us to determine what necessarily follows from given facts.
2
Apply the factual premises regarding Sediment Core V-12 to the conditional chain.
Sediment Core V-12 satisfies the compound antecedent (caldera basin core with rhyolitic tephra).
Checking factual fulfillment of the sufficient condition activates the forward deductive chain.
3
Deduce the final necessary condition for Sediment Core V-12.
Sediment Core V-12 must contain titanomagnetite and must have been deposited during an explosive plinian eruption cycle.
Transitive inference across valid conditional linkages guarantees the truth of the conclusion.

Anahtar Kavram

Conditional chain deduction (transitive inference and Modus Ponens)
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