• Thumbnail for Logical disjunction
    In logic, disjunction (also known as logical disjunction, logical or, logical addition, or inclusive disjunction) is a logical connective typically notated...
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  • if p, then p ∧ q is q, otherwise p ∧ q is p. Logical disjunction is an operation on two logical values, typically the values of two propositions, that...
    43 KB (3,307 words) - 00:46, 15 April 2025
  • Thumbnail for Logical connective
    Apq} for disjunction, C p q {\displaystyle Cpq} for implication, E p q {\displaystyle Epq} for biconditional in Łukasiewicz in 1929. Such a logical connective...
    34 KB (3,164 words) - 12:59, 14 April 2025
  • Thumbnail for Exclusive or
    exclusive disjunction, exclusive alternation, logical non-equivalence, or logical inequality is a logical operator whose negation is the logical biconditional...
    31 KB (3,354 words) - 12:57, 14 April 2025
  • Thumbnail for Logical NOR
    Boolean logic, logical NOR, non-disjunction, or joint denial is a truth-functional operator which produces a result that is the negation of logical or. That...
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  • other deduction system. The rule makes it possible to introduce disjunctions to logical proofs. It is the inference that if P is true, then P or Q must...
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  • scientific digital cameras And/or, a grammatical conjunction (and logical disjunction) Andor (also known as Andoria), the homeworld of the fictional Andorian...
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  • fallacies: Affirming a disjunct – concluding that one disjunct of a logical disjunction must be false because the other disjunct is true; A or B; A, therefore...
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  • Thumbnail for Logical conjunction
    topics Logical disjunction Logical graph Negation Operation Peano–Russell notation Propositional calculus "2.2: Conjunctions and Disjunctions". Mathematics...
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  • three-step argument, and the use of a logical disjunction (any "or" statement.) For example, "P or Q" is a disjunction, where P and Q are called the statement's...
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  • Thumbnail for Logical biconditional
    doesn't distribute over any binary function (not even itself), but logical disjunction distributes over biconditional. Idempotency: No Monotonicity: No...
    20 KB (1,794 words) - 23:19, 22 May 2025
  • Thumbnail for De Morgan's laws
    ∧ {\displaystyle \land } is the logical conjunction operator (AND), ∨ {\displaystyle \lor } is the logical disjunction operator (OR). which can be generalized...
    22 KB (3,650 words) - 18:32, 21 May 2025
  • The OR gate is a digital logic gate that implements logical disjunction. The OR gate outputs "true" if any of its inputs is "true"; otherwise it outputs...
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  • (number) (in Boolean algebra with a notation where '+' denotes a logical disjunction) 0 (number) (in Boolean algebra with a notation where '+' denotes...
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  • the algebraic distributive law is valid, where both logical conjunction and logical disjunction are distributive over each other so that for any propositions...
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  • was needed so that the ALGOL Boolean operators ∧ (logical conjunction) and ∨ (logical disjunction) could be composed using /\ and \/ respectively. The...
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  • conjunctions in English Exclusive or, the logical meaning of "either ... or ... but not both" Logical disjunction, the logical meaning of "either ... or ... or...
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  • condition, also known as a logical disjunction. A spider diagram is a boolean expression involving unitary spider diagrams and the logical symbols ∧ , ∨ , ¬ {\displaystyle...
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  • suggested set of logical symbols Logic gate § Symbols Logical connective Mathematical operators and symbols in Unicode Non-logical symbol Polish notation...
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  • Odisha formerly Orissa, a state of India Or (logic), logical disjunction Exclusive or (XOR), a logical operation Bitwise OR, an operator in computer programming...
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  • not a ring is the two-element Boolean algebra, for instance with logical disjunction ∨ {\displaystyle \lor } as addition. A motivating example that is...
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  • Turkish vocabulary is the set of words within the Turkish language. The language widely uses agglutination and suffixes to form words from noun and verb...
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  • Thumbnail for Sheffer stroke
    Sheffer stroke (redirect from Logical nand)
    Polish notation by Łukasiewicz (but not as ||, often used to represent disjunction). Its dual is the NOR operator (also known as the Peirce arrow, Quine...
    18 KB (1,460 words) - 12:36, 1 May 2025
  • In logic, the term conditional disjunction can refer to: conditioned disjunction, a ternary logical connective introduced by Alonzo Church a rule in classical...
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  • have the result as 0. Similar to bitwise AND, bitwise OR performs logical disjunction at the bit level. Its result is a 1 if either of the bits is 1 and...
    16 KB (1,868 words) - 16:16, 31 March 2025
  • Conditioned disjunction Evasive Boolean function Exclusive or Functional completeness Logical biconditional Logical conjunction Logical disjunction Logical equality...
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  • Thumbnail for Idempotence
    (\{0,1\},\wedge )} of the Boolean domain with logical disjunction ∨ {\displaystyle \vee } and logical conjunction ∧ {\displaystyle \wedge } respectively...
    22 KB (2,941 words) - 14:55, 21 May 2025
  • and intersection is distributive over union. Logical disjunction ("or") is distributive over logical conjunction ("and"), and vice versa. For real numbers...
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  • geographically disjunct (music), a melodic skip or leap operand of a logical disjunction This disambiguation page lists articles associated with the title...
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  • Thumbnail for False dilemma
    it asserts that one among a number of alternatives must be true. This disjunction is problematic because it oversimplifies the choice by excluding viable...
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