Mathematics
Problem of The Day
2023
52

52

On December 31st, Michael made a statement: "After the New Year, everything I said before the New Year will become a lie." Was he telling the truth?

Answer
SOLUTIOn

Michael is playing a tricky game with words. On December 31st, he says:
“After the New Year, everything I said before the New Year will become a lie.”

Now, imagine what that means. If Michael were telling the truth, then once the clock strikes midnight, every single thing he had ever said before - including this very sentence- would instantly turn into a lie. But if this sentence turns into a lie, then it wasn’t the truth in the first place. Contradiction.

So Michael’s grand dramatic statement can’t actually be true. The only way out is that he was lying when he said it. Which means at least one thing he said before New Year will still stay true after New Year (for example, something boring but unshakably true like “2+2=4”).

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We hold our classes online or on-site on Saturdays at our branch in Pimlico Academy, London.
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