Match each excerpt from the newly proposed clinical bioethics regulatory framework (left) with its logically equivalent contrapositive statement (right).
- A therapy qualifies for expedited bioethics review only if it targets a terminal condition and has no viable alternatives.Any therapy that does not target a terminal condition, or that has a viable alternative, is ineligible for an expedited bioethics review.
- Unless an applicant demonstrates both a compelling medical need and an absence of financial coercion, their participation in the clinical trial will be denied.Any applicant whose participation in the clinical trial is permitted must have demonstrated a compelling medical need along with an absence of financial coercion.
- Implementation of the neural biofeedback mechanism requires that the software either undergoes independent auditing or is developed internally by the core research team.Whenever the software lacks independent auditing and has not been developed internally by the core research team, implementation of the neural biofeedback mechanism is impossible.
- Publishing the trial data prematurely is sufficient to both invalidate the patent application and permanently disqualify the researchers from future grants.If the researchers are not permanently disqualified from future grants, or the patent application is not invalidated, it follows that the trial data was not published prematurely.
Answer
The correct mapping identifies the formal contrapositive of each conditional statement, properly applying De Morgan's Laws to compound conditions and accurately translating complex conditional indicators such as 'unless', 'requires', and 'only if'.
Each correctly paired item accurately translates the formal logic of the original natural language statement, identifies the sufficient and necessary conditions, reverses their order, and negates both sides. Where compound statements are involved, De Morgan's Laws are applied flawlessly to swap conjunctions ('and') with disjunctions ('or').
Step-by-Step Solution
Key Concept
Forming contrapositives of compound conditional statements using De Morgan's Laws.