List of large cardinal properties
This page includes a list of cardinals with large cardinal properties. It is arranged roughly in order of the consistency strength of the axiom asserting the existence of cardinals with the given property. Existence of a cardinal number κ of a given type implies the existence of cardinals of most of the types listed above that type, and for most listed cardinal descriptions φ of lesser consistency strength, Vκ satisfies "there is an unbounded class of cardinals satisfying φ".
* Reinhardt cardinal, Berkeley cardinal
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Axiom of constructibilityBerkeley cardinalConstructible universeErdős cardinalExtendible cardinalGrothendieck universeHuge cardinalInaccessible cardinalIneffable cardinalLarge cardinalList of first-order theoriesList of large cardinal axiomsList of large cardinalsList of set theory topicsLists of mathematics topicsMeasurable cardinalReflecting cardinalReinhardt cardinalStrongly compact cardinalSubtle cardinalSupercompact cardinalWeakly compact cardinal
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List of large cardinal properties
This page includes a list of cardinals with large cardinal properties. It is arranged roughly in order of the consistency strength of the axiom asserting the existence of cardinals with the given property. Existence of a cardinal number κ of a given type implies the existence of cardinals of most of the types listed above that type, and for most listed cardinal descriptions φ of lesser consistency strength, Vκ satisfies "there is an unbounded class of cardinals satisfying φ".
* Reinhardt cardinal, Berkeley cardinal
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This page includes a list of c ...... dt cardinal, Berkeley cardinal
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This page includes a list of c ...... dt cardinal, Berkeley cardinal
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List of large cardinal properties
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