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Zorluk: ZorIdentifying Must-Be-True Statements and Valid Deductions

A bio-pharmaceutical research consortium enforces the following regulatory guidelines for all clinical trials:

1. Every international multi-site trial conducted by the consortium requires central Ethics Board approval prior to the initiation of patient enrollment.
2. Any trial receiving central Ethics Board approval that includes pediatric participants must undergo an independent pediatric safety review.

During a recent compliance audit, investigators noted that Trial X was conducted as an international multi-site trial and enrolled pediatric participants, but never underwent an independent pediatric safety review.

Evaluate the validity of the following statement based on the information above: "Patient enrollment for Trial X was initiated without prior approval from the central Ethics Board."

Cevap: Cevap

Cevap

True. It logically follows from the premises that patient enrollment for Trial X began without approval from the central Ethics Board.
The deduction relies on formal contrapositive logic: Premise 2 states that receiving Ethics Board approval AND including pediatric participants guarantees a safety review. Trial X included pediatric participants but lacked the safety review. Therefore, Trial X could not have received Ethics Board approval. Since Trial X did enroll pediatric participants, patient enrollment was initiated without central Ethics Board approval.

Adım Adım Çözüm

1
Formalize the second regulatory guideline into conditional logic.
(Ethics Board Approval AND Pediatric Participants) → Independent Pediatric Safety Review.
This establishes the necessary condition for any trial that has both approval and pediatric participants.
2
Apply the facts of Trial X to the contrapositive of the second guideline.
Since Trial X had pediatric participants but NO Pediatric Safety Review, Trial X did NOT have Ethics Board Approval.
The contrapositive states: NOT(Pediatric Safety Review) → NOT(Ethics Board Approval AND Pediatric Participants). Given Pediatric Participants is true, Ethics Board Approval must be false.
3
Combine the deduction with the fact that patient enrollment occurred.
Trial X enrolled pediatric participants (enrollment initiated) without Ethics Board Approval.
Because enrollment was initiated for Trial X and Ethics Board Approval was proven to be absent, enrollment was initiated without approval.

Anahtar Kavram

Conditional Logic Deductions and Contrapositive Chains
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Konular

Identifying Must-Be-True Statements and Valid Deductions

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