An infinite cardinal number is a limit cardinal if it is not a successor cardinal; equivalently it is an aleph number with zero or a limit ordinal as index. Uncountable limit cardinals are either singular cardinals or weakly inaccessible cardinals. This concerns succession among cardinals, rather than merely being a limit ordinal.
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In set theory, a branch of mathematical logic, cardinal numbers are used to denote the size of sets. Cardinal numbers can be classified into different types, one of which is **limit cardinals**. A limit cardinal is a cardinal number that is not a successor cardinal. In simple terms, it does not directly follow another cardinal number in the hierarchy of cardinals.