SET THEORY by Vetrone G. https://padlet.com/giuuveet/u5qybdcy0jiy 6/12/2018 giovedì en-us 2018-12-06 10:53:57 UTC 2026-03-18 19:31:45 UTC hello@padlet.com What's the set theory? giuuveet https://padlet.com/giuuveet/u5qybdcy0jiy/wish/311742667 Set theory is a branch of mathematical logicthat studies sets, which informally are collections of objects. Although any type of object can be collected into a set, set theory is applied most often to objects that are relevant to mathematics. The language of set theory can be used to define nearly all mathematical objects.]]> 2018-12-06 10:56:41 UTC https://padlet.com/giuuveet/u5qybdcy0jiy/wish/311742667 giuuveet https://padlet.com/giuuveet/u5qybdcy0jiy/wish/311743098 Set theory begins with a fundamental binary relation between an object o and a set A. If o is a member (or element) of A, the notation o ∈ A (o belongs to A) is used. ]]> 2018-12-06 10:59:02 UTC https://padlet.com/giuuveet/u5qybdcy0jiy/wish/311743098 giuuveet https://padlet.com/giuuveet/u5qybdcy0jiy/wish/311743339 A derived binary relation between two sets is the subset relation, also called set inclusion. If all the members of set A are also members of set B, then A is a subset of B, denoted A ⊆ B.]]> 2018-12-06 11:00:20 UTC https://padlet.com/giuuveet/u5qybdcy0jiy/wish/311743339 Union and intersection giuuveet https://padlet.com/giuuveet/u5qybdcy0jiy/wish/311743774
  • Union of the sets A and B, denoted A ∪ B, is the set of all objects that are a member of A, or B, or both. The union of {1, 2, 3} and {2, 3, 4} is the set {1, 2, 3, 4} .
  • Intersection of the sets A and B, denoted A ∩ B, is the set of all objects that are members of both A and B. The intersection of {1, 2, 3} and {2, 3, 4} is the set {2, 3} .

    • ]]>     2018-12-06 11:02:28 UTC https://padlet.com/giuuveet/u5qybdcy0jiy/wish/311743774     Venn's diagram giuuveet https://padlet.com/giuuveet/u5qybdcy0jiy/wish/311744661 A Venn diagram (also called primary diagram, set diagram or logic diagram) is a diagramthat shows all possible logical relations between a finite collection of different sets. These diagrams depict elements as points in the plane, and sets as regions inside closed curves. A Venn diagram consists of multiple overlapping closed curves, usually circles, each representing a set. The points inside a curve labelled S represent elements of the set S, while points outside the boundary represent elements not in the set S.]]> 2018-12-06 11:07:17 UTC https://padlet.com/giuuveet/u5qybdcy0jiy/wish/311744661 Empty set giuuveet https://padlet.com/giuuveet/u5qybdcy0jiy/wish/311745054 In mathematics, and more specifically set theory, the empty set or null set is the unique set having no elements; its size or cardinality(count of elements in a set) is zero.
    Many possible properties of sets are vacuously true for the empty set.
    Null set is a distinct notion within the context of measure theory. In that setting, it describes a set of measure zero; such a set is not necessarily empty. The empty set may also be called the void set.

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