disjunction

disjunction
/dis jungk"sheuhn/, n.
1. the act of disjoining or the state of being disjoined: a disjunction between thought and action.
2. Logic.
a. Also called disjunctive, inclusive disjunction. a compound proposition that is true if and only if at least one of a number of alternatives is true.
b. Also called exclusive disjunction. a compound proposition that is true if and only if one and only one of a number of alternatives is true.
c. the relation among the components of such a proposition, usually expressed by AND or V.
[1350-1400; ME disjunccioun < L disjunction- (s. of disjunctio) separation, equiv. to disjunct(us) (see DISJUNCT) + -ion- -ION]

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▪ logic
      in logic, relation or connection of terms in a proposition to express the concept “or”; it is a statement of alternatives (sometimes called “alternation”). For clarity, exclusive disjunction (either x or y but not both), symbolized x ∨· y, x ∨ y, or x ≡/y, must be distinguished from inclusive disjunction (either x or y or both x and y), symbolized x ∨ y. See also implication.

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Universalium. 2010.

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  • Disjunction — Dis*junc tion, n. [L. disjunctio.] 1. The act of disjoining; disunion; separation; a parting; as, the disjunction of soul and body. [1913 Webster] 2. A disjunctive proposition. Coleridge. [1913 Webster] …   The Collaborative International Dictionary of English

  • disjunction — c.1400, disjunccioun, from O.Fr. disjunction (13c.) or directly from L. disjunctionem separation, noun of action from pp. stem of disjungere (see DISJOINTED (Cf. disjointed)) …   Etymology dictionary

  • Disjunction — Disjunction, lat. deutsch, Zerlegung eines Begriffs in seine Theile; der logische Gegensatz; s. Urtheil u. Schluß …   Herders Conversations-Lexikon

  • disjunction — index abandonment (discontinuance), decentralization, difference, disassociation, division (act of dividing), estrangement, hiatu …   Law dictionary

  • disjunction — ► NOUN ▪ a lack of correspondence or consistency …   English terms dictionary

  • disjunction — [dis juŋkchər, dis′juŋkchərdis juŋk′shən] n. [ME disjunccioun < L disjunctio] 1. a disjoining or being disjoined; separation: also disjuncture [dis juŋkchər, dis′juŋkchər] 2. a) Logic the relation between the alternatives of a disjunctive… …   English World dictionary

  • Disjunction — (Roget s Thesaurus) < N PARAG:Disjunction >N GRP: N 1 Sgm: N 1 disjunction disjunction disconnection disunity disunion disassociation disengagement Sgm: N 1 discontinuity discontinuity &c. 70 Sgm: N 1 abjunction abjunction Sgm …   English dictionary for students

  • disjunction — noun Date: 14th century 1. a sharp cleavage ; disunion, separation < the disjunction between theory and practice > 2. a compound sentence in logic formed by joining two simple statements by or: a. inclusive …   New Collegiate Dictionary

  • disjunction — UK [dɪsˈdʒʌŋkʃ(ə)n] / US noun [countable/uncountable] Word forms disjunction : singular disjunction plural disjunctions very formal lack of a connection between things that should be connected …   English dictionary

  • disjunction — exclusive/inclusive disjunction …   Philosophy dictionary

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