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  • Puzzles of Cardinality
    Levin, Oscar; Markkanen, Tyler

    The College mathematics journal, 09/2021, Letnik: 52, Številka: 4
    Journal Article

    We investigate a new sort of puzzle of self-reference, in which the puzzler is asked to find the cardinality of a set defined in terms of its own cardinality. We discover which sets are the unique solution to such puzzles and see how puzzles for such sets can be made arbitrarily complex. Then we compare our new cardinality puzzles to the classic puzzles of knights and knaves.