The Truth-Teller’s Dilemma

In a strange land where everyone is either a truth-teller or a liar, you come across Sophie and Olivia.
Olivia confidently says, “We’re both complete liars!”
But wait—can that statement even be true? What does this reveal about Sophie and Olivia?
Show Answer
Answer: Sophie Tells the Truth, Olivia is a Liar
Let’s break this down logically:
- Olivia says, “We’re both total liars!”
- If that statement were true, then Olivia would be telling the truth—but that contradicts her claim that she’s a liar!
- Since the statement cannot be true, Olivia must be the liar.
- But for Olivia’s statement to be false, that means Sophie is actually a truth-teller.
So, the reality is:
✅ Sophie tells the truth.
❌ Olivia is the liar.