About: Admissible set

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In set theory, a discipline within mathematics, an admissible set is a transitive set such that is a model of Kripke–Platek set theory (Barwise 1975). The smallest example of an admissible set is the set of hereditarily finite sets. Another example is the set of hereditarily countable sets.

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  • In set theory, a discipline within mathematics, an admissible set is a transitive set such that is a model of Kripke–Platek set theory (Barwise 1975). The smallest example of an admissible set is the set of hereditarily finite sets. Another example is the set of hereditarily countable sets. (en)
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  • In set theory, a discipline within mathematics, an admissible set is a transitive set such that is a model of Kripke–Platek set theory (Barwise 1975). The smallest example of an admissible set is the set of hereditarily finite sets. Another example is the set of hereditarily countable sets. (en)
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  • Admissible set (en)
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