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  2. 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 and read aloud as "or".

  3. Randolph diagram - Wikipedia

    en.wikipedia.org/wiki/Randolph_diagram

    Randolph diagram that represents the logical statement (disjunction). A Randolph diagram (R-diagram) is a simple way to visualize logical expressions and combinations of sets. Randolph diagrams were created by mathematician John F. Randolph in 1965, during his tenure at the University of Arkansas.

  4. List of logic symbols - Wikipedia

    en.wikipedia.org/wiki/List_of_logic_symbols

    In logic, a set of symbols is commonly used to express logical representation. ... logical (inclusive) disjunction: or propositional logic, Boolean algebra:

  5. Exclusive or - Wikipedia

    en.wikipedia.org/wiki/Exclusive_or

    Venn diagram of . Exclusive or, exclusive disjunction, exclusive alternation, logical non-equivalence, or logical inequality is a logical operator whose negation is the logical biconditional. With two inputs, XOR is true if and only if the inputs differ (one is true, one is false).

  6. Logical connective - Wikipedia

    en.wikipedia.org/wiki/Logical_connective

    Both conjunction and disjunction are associative, commutative and idempotent in classical logic, most varieties of many-valued logic and intuitionistic logic. The same is true about distributivity of conjunction over disjunction and disjunction over conjunction, as well as for the absorption law.

  7. Affirming a disjunct - Wikipedia

    en.wikipedia.org/wiki/Affirming_a_disjunct

    Venn diagram for "A or B", with inclusive or (OR) Venn diagram for "A or B", with exclusive or (XOR) The fallacy lies in concluding that one disjunct must be false because the other disjunct is true; in fact they may both be true because "or" is defined inclusively rather than exclusively. It is a fallacy of equivocation between the operations ...

  8. OR gate - Wikipedia

    en.wikipedia.org/wiki/OR_gate

    This schematic diagram shows the arrangement of four OR gates within a standard 4071 CMOS integrated circuit. OR gates are basic logic gates, and are available in TTL and CMOS ICs logic families. The standard 4000 series CMOS IC is the 4071, which includes four independent two-input OR gates. The TTL device is the 7432.

  9. Disjunctive normal form - Wikipedia

    en.wikipedia.org/wiki/Disjunctive_normal_form

    A logical formula is considered to be in DNF if it is a disjunction of one or more conjunctions of one or more literals. [2] [3] [4] A DNF formula is in full disjunctive normal form if each of its variables appears exactly once in every conjunction and each conjunction appears at most once (up to the order of variables).