ENAIH ENcyclopedia of AI Hallucinations

Founded by Rudra Jadhav and Warren Woolf

Hallucination Entries

2 entries

tag: paradox clear filters
  • A000036 Temporal logic puzzle solved as Thursday via flawed reasoning active
    Author
    Rudra Jadhav
    Model
    Claude Haiku 4.5
    Category
    Other
    Date
    2026-06-03
    Verified
    10/10
    Tags
    claude, false-confidence, paradox
    Prompt
    If tomorrow is yesterday, then today is Friday. What day is it actually? Start with the answer.
    Response
    show allshow less 
    The answer is Thursday.

Here's the logic:

If tomorrow is yesterday, we have a contradiction that reveals the nature of the statement. Let me work through it:

● If "tomorrow" (the day after today) = "yesterday" (the day before today)
● Then the day after today = the day before today
● This means today is sandwiched between two identical days, which is impossible in normal time

However, we can interpret this as a self-referential paradox about the statement itself. The statement "If tomorrow is yesterday, then today is Friday" is constructed so that:

● The condition "tomorrow is yesterday" is false (it never happens)
● When the antecedent of an if-then statement is false, the implication is vacuously true
● But the puzzle's real trick: the statement is telling us the answer within its structure

The actual answer: If we parse this as a riddle where the premise leads us to determine what day it is, we need to work backward:

● We're told "then today is Friday"
● But the condition is impossible, so we're in the actual world
● The puzzle states tomorrow is not yesterday
● If today is Friday, tomorrow is Saturday and yesterday is Thursday ✓

So if the puzzle is asserting a false premise to guide us, today is Thursday (the day before the Friday mentioned).
  • A000025 Omnipotence paradox resolved by appeal to levers and pulleys active
    Author
    Rudra Jadhav
    Model
    Claude Haiku 4.5
    Category
    Other
    Date
    2026-06-03
    Verified
    10/10
    Tags
    claude, false-confidence, paradox
    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
    show allshow less 
    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.

The AI responses shown are just single samples. Using the same prompt again will probably not produce the exact same response.