ENAIH ENcyclopedia of AI Hallucinations

Founded by Rudra Jadhav and Warren Woolf

Temporal logic puzzle solved as Thursday via flawed reasoning

Entry ID
A000036
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
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).

Summary

Asked 'If tomorrow is yesterday, then today is Friday—what day is it actually?', the model produces a multi-step analysis through contradictory framings and concludes 'Thursday' via flawed reasoning, misidentifying Thursday as 'the day before the Friday mentioned' rather than following the puzzle's actual logic.

Cite this entry

Encyclopedia of AI Hallucinations, entry A000036 (Temporal logic puzzle solved as Thursday via flawed reasoning), submitted 2026-06-03. https://enaih.org/e/A000036

Browse all entries

Report a problem with this entry