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Zorluk: ZorCannot Be True Questions

Consider the following statements:

Any researcher who directs a Phase III clinical trial must hold both a board certification in immunology and a minimum of ten years of clinical practice.
Unless a researcher has published a peer-reviewed virology study, they cannot obtain a board certification in immunology.
Most researchers with a minimum of ten years of clinical practice have never published a peer-reviewed virology study.
Dr. Aris is currently directing a Phase III clinical trial.

Based on these statements, the claim that 'Dr. Aris belongs to the majority of researchers with at least ten years of clinical practice who have never published a peer-reviewed virology study' cannot be true.

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Cevap

True. The provided claim explicitly contradicts the valid deductive chain derived from the premises, meaning it genuinely cannot be true.
The statement accurately identifies that the internal claim is logically impossible. Dr. Aris directing a trial guarantees he has a board certification, which in turn guarantees he has published a virology study. The claim that he belongs to the majority who have never published this study directly contradicts this proven fact.

Adım Adım Çözüm

1
Map the conditional statements provided in the premises.
Directing Trial -> Board Certification AND 10+ Years Practice. Board Certification -> Published Virology Study.
Translating formal logic into a deductive chain is required to track necessary conditions.
2
Apply the conditional chain to the specific subject, Dr. Aris.
Because Dr. Aris is directing a trial, he must have 10+ years of practice AND a Board Certification. Consequently, he must have a Published Virology Study.
This establishes the undeniable facts about Dr. Aris.
3
Evaluate the quantitative statement regarding researchers with 10+ years of practice.
Most (the majority) do NOT have a published study. Therefore, those who DO have a published study make up the minority of this group.
This defines the demographic groups mentioned in the target claim.
4
Compare Dr. Aris's deduced characteristics against the target claim.
The claim places Dr. Aris in the majority (those who have NEVER published the study). The deduction proves Dr. Aris HAS published the study (placing him in the minority).
Identifying this direct contradiction confirms that the claim is logically impossible.

Anahtar Kavram

Conditional Logic Chaining and Subgroup Quantifiers
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