Objects {member, set} {element, set} and events can be in groups {set, mathematics}. Sets {well-defined set} can have membership criteria. Sets have numbers of members {cardinality, set} {power, set} {size, set}, which can be specific, unspecific, or infinite.
subsets
Sets can have parts {subset, set}. Sets can split into mutually exclusive subsets {partition, subset}. Subsets {connected set} can have all set members that are not in union of two separated sets.
union
Sets can contain all members of two sets {union, set}. Union of set with empty set is the set. Union of set with universal set is universal set. Union of relative complements is a set {symmetric difference}.
intersection
Sets can contain all members shared by two sets {intersection, set}. Intersection of set with empty set is empty set. Intersection of set with universal set is the set.
Mathematical Sciences>Set Theory
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Date Modified: 2022.0224