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Difficulty: HardIdentifying Sufficient Assumptions

An AI researcher constructs an argument demonstrating that a new heuristic algorithm lacks artificial general intelligence (AGI). Arrange the following statements in the correct logical sequence to form a continuous deductive chain. Begin with the specific operational feature of the algorithm, follow with the general rule governing that feature, deduce the intermediate consequence, introduce the sufficient assumption (in conditional form) that bridges the final logical gap, and conclude with the main argument.

  1. 1The new heuristic algorithm operates strictly by optimizing pre-defined reward functions.
  2. 2Operating strictly by optimizing pre-defined reward functions prevents a system from exhibiting autonomous intention.
  3. 3Therefore, the new heuristic algorithm is incapable of exhibiting autonomous intention.
  4. 4If a computational system possesses true artificial general intelligence (AGI), it must be capable of exhibiting autonomous intention.
  5. 5Thus, the new heuristic algorithm cannot possess true artificial general intelligence (AGI).

Answer

The correct deductive order begins with the specific premise, followed by the general rule, the intermediate conclusion, the sufficient assumption, and finally the main conclusion.
The correct sequence forms a valid formal logic chain. The specific feature combined with the general rule yields the intermediate conclusion (the system lacks autonomous intention). The sufficient assumption states that AGI requires autonomous intention. The contrapositive of this assumption means that lacking autonomous intention guarantees the system lacks AGI, which perfectly justifies the main conclusion.

Step-by-Step Solution

1
Identify the initial factual premise.
Select the statement establishing that the algorithm operates by optimizing pre-defined reward functions.
The prompt requires starting with the specific operational feature of the algorithm.
2
Identify the general conditional rule.
Select the statement linking the optimization of pre-defined reward functions to the inability to exhibit autonomous intention.
This general rule acts on the initial factual premise to enable a deduction.
3
Derive the intermediate conclusion.
Select the statement concluding the algorithm is incapable of exhibiting autonomous intention.
This is the logical deduction (Modus Ponens) generated by combining the first two statements.
4
Identify the sufficient assumption.
Select the conditional statement asserting that true AGI requires the capacity for autonomous intention.
The contrapositive of this assumption (no intention implies no AGI) is required to logically bridge the gap to the final conclusion.
5
Identify the main conclusion.
Select the statement concluding the algorithm cannot possess true AGI.
This is the final deduction drawn by applying the sufficient assumption to the intermediate conclusion.

Key Concept

Identifying Sufficient Assumptions in Deductive Chains
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Topics

Identifying Sufficient Assumptions

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