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New Existsforall Academy books! Rigorous Elementary Mathematics

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Puzzle #20: Making French Toast

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Puzzle #19: Ten Prisoners with Hats

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Puzzle #18: Prisoners Standing in a Line

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Puzzle #17: Prisoners with Coloured Hats

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Puzzle #16: Laughing Prisoners

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Puzzle #15: Final Difficult Decanting

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Puzzle #14: Decanting with Four Containers

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Puzzle #13: River Decanting Again

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Puzzle #12: Bachet's Classic Decanting

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Puzzle #11: Decanting by the River

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Puzzle #10: Ten Groups of Marbles

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Puzzle #9: Counterfeit Coin

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Puzzle #8: Mountain Trip

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Puzzle #7: End Where You Start

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Puzzle #6: Connect the Boxes

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Puzzle #5: Queen Covering

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Puzzle #4: Capture Sixteen Pawns

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Puzzle #3: Twenty-five Knights

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Puzzle #2: Knight's Tour

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Puzzle #1: Mutilated Chessboard

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Real Numbers are Uncountable by Cantor Diagonalization

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Rationals are Countable by Cantor Snake

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Infinitely Many Primes of the Form 4n+3