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Zorluk: Çok zorResolve the Paradox

A semiconductor manufacturing plant replaced its human quality-control inspectors with an advanced automated optical inspection (AOI) system to screen microchips for microscopic structural defects. Prior laboratory testing conclusively established that the AOI system successfully identifies 99% of structurally defective chips, whereas human inspectors historically identified only 85%. Since the factory installed the AOI system on its assembly lines, the inherent defect rate of the manufacturing process has remained identical, and the total number of raw microchips manufactured prior to inspection has not changed. Nevertheless, the total number of structurally defective microchips that pass inspection and are shipped to consumers each month has inexplicably doubled.

Statement: The proposition that the AOI system is overly sensitive and frequently flags perfectly functional microchips as defective, leading to a massive increase in the number of functional chips that are discarded before shipping, successfully resolves the apparent discrepancy described above.

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Cevap

The statement is False because discarding perfectly functional chips does not logically explain why an increased absolute number of defective chips are passing inspection.
The statement is false because the proposition fails to resolve the apparent discrepancy. The core paradox is that more defective chips are successfully passing inspection (an increase in false negatives) despite the implementation of a superior detection system. The proposed statement introduces a completely different operational issue: the system erroneously rejects functional chips (an increase in false positives). Explaining why good chips are wasted does not provide any logical mechanism for why defective chips are slipping through. Therefore, the two original conflicting premises remain unreconciled.

Adım Adım Çözüm

1
Identify the two apparently contradictory premises in the stimulus.
Premise 1: The new AOI system has a 99% detection rate for structural defects compared to the 85% rate of human inspectors. Premise 2: The absolute number of structurally defective chips passing inspection has doubled, despite the raw production volume and baseline defect rates remaining constant.
Understanding the exact parameters of the paradox is required before evaluating any potential resolution.
2
Define the specific requirements for a successful resolution.
A correct resolution must explain how an inspection system with a higher proven detection rate could allow a greater absolute number of actually defective items to pass through undetected.
The resolution must actively reconcile the two conflicting facts without contradicting any established premise.
3
Analyze the proposed statement's mechanism.
The statement claims the AOI system has a high false positive rate, meaning it throws away many perfectly good chips.
We must determine exactly what causal impact the proposed fact has on the scenario.
4
Evaluate if the proposed mechanism reconciles the discrepancy.
Throwing away good chips does not cause bad chips to be accepted. The phenomenon of false positives is completely independent of the phenomenon of false negatives. Thus, the paradox remains unresolved.
If the proposed fact does not bridge the logical gap between the premises and the outcome, it fails the definition of a resolution.

Anahtar Kavram

Distinguishing between irrelevant causal mechanisms and mechanisms that directly bridge the logical gap in an apparent discrepancy.
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Konular

Resolve the Paradox

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