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Zorluk: ZorDiagramming Conditional Statements

According to the newly established ethical guidelines for artificial intelligence, an AI system is considered ethically compliant only if it both maintains transparent decision-making and undergoes biannual independent audits. Furthermore, unless a system possesses continuous human oversight, it cannot maintain transparent decision-making. No AI system is approved for public deployment without being considered ethically compliant.

Which one of the following conclusions can be logically drawn from the guidelines above?

  1. Any AI system that either lacks continuous human oversight or fails to undergo biannual independent audits will not be approved for public deployment.Cevap
  2. B
    An AI system will be approved for public deployment if it maintains transparent decision-making and undergoes biannual independent audits.
  3. C
    If an AI system is not approved for public deployment, then it does not maintain transparent decision-making.
  4. D
    An AI system that fails to undergo biannual independent audits might still be considered ethically compliant, provided it maintains transparent decision-making.
  5. E
    Most AI systems that maintain transparent decision-making are approved for public deployment.

Cevap

The statement that any AI system lacking either continuous human oversight or biannual independent audits will not be approved for public deployment.
The stimulus allows us to build a logical chain: Public Deployment requires Ethical Compliance. Ethical Compliance requires both Transparent Decision-Making and Biannual Audits. Transparent Decision-Making requires Human Oversight. Chaining these together: Public Deployment requires both Human Oversight and Biannual Audits. The correct answer is the contrapositive of this final chain: if an AI system lacks Human Oversight OR lacks Biannual Audits, it cannot be approved for Public Deployment.

Adım Adım Çözüm

1
Translate the first premise into formal logic.
Ethically Compliant (EC) -> Transparent Decision-Making (TDM) AND Biannual Audits (BA)
The phrase 'only if' introduces necessary conditions. Both TDM and BA are required for EC.
2
Translate the second premise into formal logic.
NOT Human Oversight (HO) -> NOT Transparent Decision-Making (TDM). Contrapositive: TDM -> HO.
The word 'unless' introduces a necessary condition, meaning HO is necessary for TDM.
3
Translate the third premise into formal logic.
Public Deployment (PR) -> Ethically Compliant (EC)
The phrase 'No... without' means EC is a necessary prerequisite for PR.
4
Synthesize the conditional chain.
PR -> EC -> (TDM AND BA). Furthermore, TDM -> HO. Therefore, PR -> (HO AND BA).
By transitive property, if PR requires EC, and EC requires both TDM and BA, then PR requires both TDM and BA. Since TDM also requires HO, PR ultimately requires both HO and BA.
5
Formulate the contrapositive of the synthesized chain.
NOT (HO AND BA) -> NOT PR, which translates via De Morgan's laws to: (NOT HO OR NOT BA) -> NOT PR.
To find a valid deduction that matches the answer choices, we negate and reverse the final chain. Negating 'AND' turns it into 'OR'.

Anahtar Kavram

Diagramming Conditional Statements and Compound Contrapositives
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