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Difficulty: Very hardCannot Be True Questions

The International Cybernetics Commission (ICC) recently adopted strict guidelines regarding neural implants: Any neural implant that enhances motor function must either utilize a bio-synthetic interface or be restricted to therapeutic use only. No implant that is restricted to therapeutic use only can be authorized for competitive sports. Furthermore, every neural implant that utilizes a bio-synthetic interface and is authorized for competitive sports requires a continuous monitoring protocol. Finally, most neural implants that require a continuous monitoring protocol are produced by government-certified labs.

If all of the statements above are true, which one of the following CANNOT be true?

  1. A
    A neural implant utilizes a bio-synthetic interface and requires a continuous monitoring protocol, but it is not authorized for competitive sports.
  2. A neural implant enhances motor function and is authorized for competitive sports, but it does not require a continuous monitoring protocol.Answer
  3. C
    A neural implant utilizes a bio-synthetic interface and is not authorized for competitive sports, but it does not require a continuous monitoring protocol.
  4. D
    A neural implant is neither restricted to therapeutic use nor authorized for competitive sports, and it does not enhance motor function.
  5. E
    A neural implant requires a continuous monitoring protocol, but it is not produced by a government-certified lab.

Answer

The correct answer is the option stating that an implant enhances motor function and is authorized for competitive sports, but does not require a continuous monitoring protocol.
Based on the rules, any implant that enhances motor function and is authorized for sports MUST utilize a bio-synthetic interface (because being authorized for sports eliminates the therapeutic-only option). Once it is both bio-synthetic and authorized for sports, it MUST require a continuous monitoring protocol. Therefore, it is logically impossible for such an implant to NOT require continuous monitoring.

Step-by-Step Solution

1
Translate the statements into formal conditional logic.
1. Motor -> Bio OR Therapeutic.
2. Therapeutic -> NOT Sports.
3. (Bio AND Sports) -> Monitor.
Establishing clear conditional rules is necessary to trace deductive implications.
2
Analyze the necessary conditions for a motor-enhancing implant authorized for sports.
If an implant is Motor and Sports: Because it is Sports, it cannot be Therapeutic (contrapositive of rule 2). Since it is Motor, it must be Bio or Therapeutic. Because it is NOT Therapeutic, it MUST be Bio.
To find what must be true (and thus what cannot be false), we combine intersecting rules.
3
Chain the deduced condition into the final rule.
The implant is now established as Bio AND Sports. Applying Rule 3, it must require Monitor.
This completes the deductive chain: (Motor AND Sports) logically guarantees Monitor.
4
Evaluate the options to find the logically impossible scenario.
The option stating an implant is Motor and Sports, but NOT Monitor directly violates the deduction from step 3.
In a 'Cannot Be True' question, the correct answer is the one that logically contradicts the premises.

Key Concept

Chaining conditional logic, contrapositives, and identifying logical contradictions.
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