Mathematics/Discrete Math/Sets

Sets, aka groups of elements and logic regarding such.

Terminology

• Set - A grouping of various elements.
• Subset - A grouping of such that all elements of the set are also contained within an equal-sized or larger set. May include two equivalent sets.
• Proper Subset - A subset in which the two sets are not equivalent.
• Empty Set/Zero Set (∅) - A set containing exactly 0 elements. Aka a null set.
• Closed Set - A set in which it's own boundary is contained within the set.
• Open Set - A set where the boundary is excluded from the set, but all values between the boundary are included.
• Cardinality - The number of distinct elements within a set. Ex: The set {-1, 0, 1} has a Cardinality of 3.