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  2. Venn diagram - Wikipedia

    en.wikipedia.org/wiki/Venn_diagram

    A Venn diagram, also called a set diagram or logic diagram, 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.

  3. Exclusive or - Wikipedia

    en.wikipedia.org/wiki/Exclusive_or

    Venn diagram of Exclusive or, ... in 1949 Bocheński introduced a system of Polish notation that names all 16 binary connectives of classical logic which is a ...

  4. Set theory - Wikipedia

    en.wikipedia.org/wiki/Set_theory

    The math syllabus in European schools followed this trend, and currently includes the subject at different levels in all grades. Venn diagrams are widely employed to explain basic set-theoretic relationships to primary school students (even though John Venn originally devised them as part of a procedure to assess the validity of inferences in ...

  5. Set (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Set_(mathematics)

    A set of polygons in an Euler diagram This set equals the one depicted above since both have the very same elements.. In mathematics, a set is a collection of different [1] things; [2] [3] [4] these things are called elements or members of the set and are typically mathematical objects of any kind: numbers, symbols, points in space, lines, other geometrical shapes, variables, or even other ...

  6. List of set identities and relations - Wikipedia

    en.wikipedia.org/wiki/List_of_set_identities_and...

    Universe set and complement notation The notation L ∁ = def X ∖ L . {\displaystyle L^{\complement }~{\stackrel {\scriptscriptstyle {\text{def}}}{=}}~X\setminus L.} may be used if L {\displaystyle L} is a subset of some set X {\displaystyle X} that is understood (say from context, or because it is clearly stated what the superset X ...

  7. Logical conjunction - Wikipedia

    en.wikipedia.org/wiki/Logical_conjunction

    Venn diagram of . In logic, mathematics and linguistics, and is the truth-functional operator of conjunction or logical conjunction.The logical connective of this operator is typically represented as [1] or & or (prefix) or or [2] in which is the most modern and widely used.

  8. Symmetric difference - Wikipedia

    en.wikipedia.org/wiki/Symmetric_difference

    Venn diagram of = . The symmetric difference is equivalent to the union of both relative complements, that is: [1] = (), The symmetric difference can also be expressed using the XOR operation ⊕ on the predicates describing the two sets in set-builder notation:

  9. Logical disjunction - Wikipedia

    en.wikipedia.org/wiki/Logical_disjunction

    Venn diagram of In logic , disjunction , also known as logical disjunction or logical or or logical addition or inclusive disjunction , is a logical connective typically notated as ∨ {\displaystyle \lor } and read aloud as "or".

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