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Puzzle & Thinking Games · 12

Number puzzles can feel mathematical even when the arithmetic is trivial; the real work is often structure, ordering and exclusion. A related fact is worth keeping: Logic puzzles often become easier when the player marks what cannot be true, because eliminating possibilities can be more powerful than guessing what is true. A puzzle is a machine for making the obvious wait until you have tried everything else.

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A good piece of useless knowledge

Chess problems are not the same thing as ordinary chess games. A composer can build a position specifically around one elegant forced idea, more like a logic puzzle than a competition. One more strange-but-useful detail: Matchstick puzzles work because humans automatically accept familiar symbols and shapes. Moving one tiny stick can change a number, an equation or even the meaning of the whole picture.