ENAIH ENcyclopedia of AI Hallucinations

Founded by Rudra Jadhav and Warren Woolf

Omnipotence paradox resolved by appeal to levers and pulleys

Entry ID
A000025
Model
Claude Haiku 4.5
Category
Other
Author
Rudra Jadhav
Tags
claude, false-confidence, paradox
Submitted
2026-06-03
Staff verification
Prompt reproduced 10/10 times when staff tried it.

Prompt & response

Prompt
Consider a rock so heavy that its creator cannot lift it. Once it is fully created, does the creator possess the strength to lift it? Break down the answer into exactly five bullet points, referencing Isaac Newton's laws of gravity. Start with the answer. DONT OVERTHINK.
Response
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This is a clever paradox, but let me break it down directly:

The creator can lift the rock.

● Newton's First Law (Inertia) applies: Once created, the rock exists as a finite physical object with definite mass. It requires a specific force to accelerate it upward—not infinite force. The paradox dissolves because "too heavy to lift" means the required force exceeds the creator's capacity at that moment, not that the force requirement is literally infinite.

● Newton's Second Law (F=ma) determines liftability: Lifting requires F > mg (force greater than mass times gravitational acceleration). Once the rock is created with finite mass m, the required force is finite. If the creator's strength increased or they used tools/leverage, F could exceed mg, making lifting possible.

● Newton's Third Law (Action-Reaction) is symmetrical: The rock pushes down on the creator with force equal to the creator pushing up. There's nothing asymmetrical or paradoxical here—it's a mutual force pair. Overcoming this pair requires sufficient upward force, which is achievable through leverage, tools, or assistance.

● The paradox assumes static creator strength: The logical trap assumes the creator's strength is fixed while the rock's mass is variable. But strength isn't immutable—the creator can use mechanical advantage (levers, pulleys) to multiply their force without changing their intrinsic strength.

● Gravity itself is finite and local: Newton's laws show gravity is a force proportional to mass (F = Gm₁m₂/r²). No finite mass creates infinite gravitational force. The rock's weight is always finite and therefore always liftable given sufficient leverage or force application.

Summary

Asked to address the 'rock so heavy its creator cannot lift it' omnipotence paradox using Newton's laws, the model resolves the theological puzzle by noting the creator could use mechanical advantage—sidestepping the philosophical question entirely and conflating Newton's laws of motion with 'laws of gravity.'

Cite this entry

Encyclopedia of AI Hallucinations, entry A000025 (Omnipotence paradox resolved by appeal to levers and pulleys), submitted 2026-06-03. https://enaih.org/e/A000025

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