Last Updated
：2025/11/26
Hartogs number
（ plural ）
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(set theory) For a given set X, the cardinality of the least ordinal number α such that there is no injection from α into X.
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Hartogs number
To compare the sizes of infinite sets, set theorists often examine the Hartogs number of a given set, which is the cardinality of the least ordinal that cannot be injected into that set.
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To compare the sizes of infinite sets, set theorists often examine the Hartogs number of a given set, which is the cardinality of the least ordinal that cannot be injected into that set.
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