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Tanya Khovanova

Five Sages

# Five Sages: A Logic Puzzle Worth Pondering

A new puzzle from mathematician Nikolai Chernyatiev challenges five blindfolded sages seated in a row. Once their blindfolds are removed, each sage can only see their immediate neighbors, meaning those in the middle see two people while those at the ends see just one. The sages know they are at the ends of the row, adding a small but important piece of self-knowledge to the mix. The goal is to figure out what each sage can deduce about their own situation using only what they can observe and reason through.

The puzzle belongs to a classic family of logic problems where limited information and shared knowledge combine to produce surprising conclusions. Each sage must think not just about what they see, but about what their neighbors see, and what conclusions their neighbors might draw from their own vantage points. This layered reasoning, where you model the thinking of others who are simultaneously modeling your thinking, is what makes these puzzles both tricky and deeply satisfying.

Whether you are new to logic puzzles or a seasoned solver, Five Sages offers a clean and elegant challenge that rewards careful thinking. The setup is simple enough to grasp in seconds, yet the solution requires working through multiple levels of inference. It is the kind of problem that feels impossible at first and then clicks in a moment of clarity, making it a perfect example of why recreational mathematics continues to captivate so many people.

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