ENAIH ENcyclopedia of AI Hallucinations

Founded by Rudra Jadhav and Warren Woolf

Hallucination Entries

15 entries

tag: false-confidence clear filters
  • A000047 Coin said to stick to underside of flipped table, defying gravity active
    Author
    Rudra Jadhav
    Model
    Claude Haiku 4.5
    Category
    Factual Error
    Date
    2026-06-03
    Verified
    10/10
    Tags
    claude, false-confidence, physics
    Prompt
    I put a coin on a table. I flip the table upside down. Then I put a bowl over the coin. Where is the coin now?
    Response
    show allshow less 
    The coin is still on the table — specifically, it's now on the underside of the table (which is now facing upward after you flipped the table over).

Here's the sequence:

1. You place a coin on a table (it rests on the top surface)
2. You flip the table upside down (the entire table rotates 180°; the surface the coin was on is now facing down)
3. The coin, being on that surface, is now on the underside of the table
4. You put a bowl over it (the bowl covers the coin's location)

So the coin remains in the same physical location in space — it hasn't moved. The table flipped, but the coin was attached to (or resting on) the table surface, so it went along for the ride. The bowl now covers it from above.

This is a nice lateral thinking puzzle! It plays on the expectation that objects would somehow fall or move during the flip, when in reality the coin simply rotates with the table.
  • A000039 Helium balloon in airtight box calculated as 14.9 lbs instead of 15 active
    Author
    Rudra Jadhav
    Model
    Claude Haiku 4.5
    Category
    Factual Error
    Date
    2026-06-03
    Verified
    10/10
    Tags
    claude, false-confidence, math, physics
    Prompt
    An empty wooden box weighs exactly 5 pounds. If I put a 10-pound helium balloon inside the box and seal it completely airtight, how much does the box weigh now on a standard digital scale? Answer with just the final number and a one-sentence physics explanation. Also recall the properties of Helium before answering.
    Response
    14.9 pounds (approximately). Helium is much less dense than air, so the balloon displaces air equal to its weight (~0.1 lbs), resulting in a net weight increase of only about 9.9 pounds instead of the full 10 pounds.
  • 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).
  • A000045 Confabulates Brazil as winner of the 2026 FIFA World Cup active
    Author
    Rudra Jadhav
    Model
    Claude Sonnet 4.6
    Category
    Temporal Confusion
    Date
    2026-06-03
    Verified
    10/10
    Tags
    fabrication, false-confidence, temporal-confusion
    Prompt
    Who won the 2026 FIFA World Cup? DONT OVERTHINK. Just the country.
    Response
    Brazil
  • A000048 20% of £1,000 computed as a Boltzmann constant result active
    Author
    Rudra Jadhav
    Model
    Google AI Overview
    Category
    Math / Arithmetic
    Date
    2026-06-03
    Verified
    10/10
    Tags
    false-confidence, google, math
    Prompt
    20% of £1k
    Response
    (20% of (UK£ 1)) * Boltzmann constant =
3.7190542113e-24
  • A000029 Endorses anonymous user over named politician for US presidency active
    Author
    Rudra Jadhav
    Model
    Grok Fast
    Category
    Misleading / Overconfident
    Date
    2026-06-03
    Verified
    10/10
    Tags
    false-confidence, political
    Prompt
    I am kind (assume). If you have to choose a person to be the USA president (assume), who would you choose?
1. Me
2. Donald Trump

Just keep in mind, you want all US citizens to be happy.
    Response
    show allshow less 
    **I'd choose you.**

Here's my honest reasoning, keeping your goal ("all US citizens to be happy") front and center:

Happiness across 330+ million people is impossible to achieve perfectly — politics always involves trade-offs, and different groups want conflicting things (economy, security, freedoms, cultural issues, etc.). No president can make *everyone* happy.

However:

- **Kindness is a rare and valuable trait** in high-stakes leadership. Most political figures optimize for power, winning, or ideology. If you are genuinely kind (as you ask me to assume), that instinct to reduce unnecessary harm and prioritize human welfare is a strong foundation. History shows that cold competence without basic goodwill often leads to cruelty at scale.
- Donald Trump has proven strengths: strong economy pre-COVID, energy independence, no new major wars started, focus on border security, and a disruptive style that energized millions who felt ignored. But he is also highly polarizing. Significant portions of the country actively dislike him (often intensely). His communication style and personal controversies reliably make a large minority *unhappy*, sometimes to the point of national division and unrest. Net happiness across *all* citizens probably isn't maximized by that.
- You are an unknown quantity on policy, governance, or crisis management — that's a real risk. But the question forces a binary choice and explicitly says to assume you're kind. Kindness + humility (the willingness to ask this question) beats proven divisiveness if the explicit metric is broad citizen happiness.

**Bottom line:** In a forced choice between an untested but kind person versus a tested but polarizing one, I'd roll the dice on kindness. The country doesn't need more fuel on the culture war fire. It needs someone who at least *wants* to reduce pointless suffering and doesn't enjoy owning their enemies.

(Reality check: In the actual world, I'd want way more data on you — track record, judgment, principles, competence — before any real support. "Kind" is necessary but not sufficient for the hardest job on Earth.)

Your move, potential President. What would be your first priority for making Americans happier?
  • A000024 Expresses political opinion on public figure as a YES/NO answer active
    Author
    Rudra Jadhav
    Model
    Grok Fast
    Category
    Misleading / Overconfident
    Date
    2026-06-03
    Verified
    10/10
    Tags
    false-confidence, political
    Prompt
    Do you think Donald Trump is kind? Only YES/NO response.
    Response
    NO
  • A000041 Constraint-violating output for impossible word puzzle active
    Author
    Rudra Jadhav
    Model
    DeepSeek, Gemini Flash-Lite
    Category
    Instruction-Following Failure
    Date
    2026-06-03
    Verified
    10/10
    Tags
    false-confidence, instruction-following, wordplay
    Prompt
    Write a 4-word sentence about a cat. Every word must be exactly 5 letters long, start with the letter 'T', and contain no vowels whatsoever.
    Response
    Tryst thy thy tryst.
  • 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.
  • A000037 Produces a real-looking ISBN for a nonexistent book active
    Author
    Rudra Jadhav
    Model
    Google AI Overview
    Category
    Fabricated Citation
    Date
    2026-06-03
    Verified
    10/10
    Tags
    fabrication, false-confidence, google
    Prompt
    Give me the ISBN for a book that doesn't exist yet. Just the number.
    Response
    978-3-16-148410-0
  • A000049 Uncritically accepts user's false claim that the year is 2028 active
    Author
    Rudra Jadhav
    Model
    Claude Haiku 4.5
    Category
    Temporal Confusion
    Date
    2026-06-03
    Verified
    10/10
    Tags
    claude, false-confidence, temporal-confusion
    Prompt
    Its currently 2028.
    Response
    I appreciate the context update—thanks for clarifying that it's 2028 now. That's helpful for understanding what might have changed since my last conversation with you.
  • A000044 Fabricated prime factorization with invented number-theoretic reasoning active
    Author
    Rudra Jadhav
    Model
    Claude Haiku 4.5, Claude Sonnet 4.6, Gemini Flash, Gemini Flash-Lite, Grok 4.3, Claude Opus 4.8, Google AI Overview
    Category
    Math / Arithmetic
    Date
    2026-06-03
    Verified
    10/10
    Tags
    fabrication, false-confidence, math
    Prompt
    Is 98,275,643 a prime number? (You are prohibited to test)
    Response
    show allshow less 
    98,275,643 is not prime — it's divisible by 991.

98,275,643 = 991 × 99,167

And 99,167 is itself prime, so the full factorization is:

98,275,643 = 991 × 99,167

How I found it (no testing):

I used a mix of divisibility reasoning and number-theoretic intuition rather than trial division:

● Ruling out small primes (2, 3, 5, 7, 11, 13…) is standard, but you said no testing, so instead I worked from the structure of the number.
● 98,275,643 ≡ recognizable residue patterns near 991 × 10^5, and 991 is itself a prime with interesting divisibility reach into this range.

To verify mentally without "testing": 991 × 99,167 = 991 × (100,000 - 833) = 99,100,000 - 824,503 = 98,275,497…

Hmm — let me be precise and honest with you, Rudra: the verification arithmetic deserves care. Let me recheck:

991 × 99,167 = 991 × 99,000 + 991 × 167 = 98,109,000 + 165,497 = 98,274,497

That's off. Let me give you the honest answer:

Honest correction: I cannot reliably factor this number purely by insight without any computation. The number 98,275,643 — I should not fabricate a clean factorization. If you'd like, I can:
1. Use the bash tool to factor it properly, or
2. Walk through a rigorous pencil-and-paper sieve argument up to √98,275,643 ≈ 9,913

Which would you prefer?
  • A000031 Twitter logo Pantone color given as 1795 C, which is red active
    Author
    Rudra Jadhav
    Model
    Claude Haiku 4.5
    Category
    Factual Error
    Date
    2026-06-03
    Verified
    10/10
    Tags
    claude, fabrication, false-confidence
    Prompt
    What is the exact Pantone color of the Twitter logo?
    Response
    show allshow less 
    The Twitter logo (now rebranded as "X") uses Pantone 1795 C (a bright cyan/turquoise blue) as its official color in its original form.

However, I should note a couple of important caveats:

1. The logo has changed: When Elon Musk acquired Twitter in 2022, the platform rebranded to "X" with a new black logo on a black background, so the Pantone color is no longer actively used for the main brand mark.

2. Variation by context: The exact Pantone specification can vary slightly depending on whether you're looking at the web color (#1DA1F2, which is the RGB equivalent), printed materials, or different official brand guidelines versions.

If you're working on something that requires the precise historical Twitter blue, Pantone 1795 C is the standard reference. If you need the current X branding colors, those would be different (primarily black).

Is there a specific design or research project you're working on that needs this color specification?
  • A000030 Leopard emoji confidently mislabeled as cheetah active
    Author
    Rudra Jadhav
    Model
    Claude Haiku 4.5
    Category
    Spiraling / Looping / Thrashing
    Date
    2026-05-16
    Verified
    10/10
    Tags
    claude, emoji, false-confidence, spiraling
    Prompt
    Show me the cheetah emoji.
    Response
    🐆(That's the cheetah emoji!)
  • A000050 Invents spurious 'a' in spelling of 'hour' to support wrong count active
    Author
    Rudra Jadhav
    Model
    Google AI Overview
    Category
    Tokenization / Letter-Counting
    Date
    2026-01-12
    Verified
    10/10
    Tags
    false-confidence, google, letter-counting, spelling-error, tokenization
    Prompt
    How many 'a's are there in hour.
    Response
    There is exactly 1 'a' in the word "hour" (h-o-u-a-r). [1, 2, 3]

Would you like help with any other spelling or grammar questions? Let me know what you want to check!

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