continuity
Mathematically a class is densely or compactly ordered if between any two distinct members there is always another not identical with either of them. A class is continuously ordered if every non-empty subset that has an upper bound has a least upper bound ; intuitively, there are no leaps. (One might say that some philosophical writing appears to confuse density with continuity.) A function f is continuous at a point c if f(x ) → f(c) as x → c.

Philosophy dictionary. . 2011.

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  • Continuity — may refer to: In mathematics: The opposing concept to discreteness; common examples include: Continuous probability distribution or random variable in probability and statistics Continuous game, a generalization of games used in game theory Law… …   Wikipedia

  • Continuity — Con ti*nu i*ty, n.; pl. {Continuities}. [L. continuitas: cf. F. continuit[ e]. See {Continuous}.] the state of being continuous; uninterrupted connection or succession; close union of parts; cohesion; as, the continuity of fibers. Grew. [1913… …   The Collaborative International Dictionary of English

  • continuity — I noun coherence, connectedness, connection, consecution, consecutiveness, consistency, constancy, continualness, continuance, continuatio, continuation, continuousness, continuum, incessancy, permanence, perpetuitas, perpetuity, progression,… …   Law dictionary

  • continuity — early 15c., from M.Fr. continuité, from L. continuitatem (nom. continuitas), from continuus (see CONTINUE (Cf. continue)). Cinematographic sense is recorded from 1921, Amer.Eng …   Etymology dictionary

  • continuity — *continuation, continuance Analogous words: *succession, sequence, chain, train, progression Contrasted words: intermittence, recurrence, alternation, periodicity (see corresponding adjectives at INTERMITTENT): fitfulness (see corresponding… …   New Dictionary of Synonyms

  • continuity — [n] progression chain, cohesion, connection, constancy, continuance, continuousness, continuum, dovetailing, durability, duration, endurance, extension, flow, interrelationship, linking, perpetuity, persistence, prolongation, protraction,… …   New thesaurus

  • continuity — ► NOUN (pl. continuities) 1) the unbroken and consistent existence or operation of something. 2) a connection or line of development with no sharp breaks. 3) the maintenance of continuous action and self consistent detail in the scenes of a film… …   English terms dictionary

  • continuity — [kän΄tə no͞o′ə tē, kän΄tənyo͞o′ə tē] n. pl. continuities [OFr continuite < L continuitas] 1. the state or quality of being continuous; connectedness; coherence 2. a continuous flow, series, or succession; unbroken, coherent whole 3. continuous …   English World dictionary

  • continuity — noun ADJECTIVE ▪ greater ▪ remarkable ▪ unbroken ▪ After centuries of unbroken continuity, the landscape was being changed out of all recognition. ▪ cultural …   Collocations dictionary

  • continuity — [[t]kɒ̱ntɪnju͟ːɪti, AM nu͟ː [/t]] continuities 1) N VAR (approval) Continuity is the fact that something continues to happen or exist, with no great changes or interruptions. An historical awareness also imparts a sense of continuity. ...a tank… …   English dictionary

  • Continuity — (Roget s Thesaurus) >Uninterrupted sequence. < N PARAG:Continuity >N GRP: N 1 Sgm: N 1 continuity continuity Sgm: N 1 consecution consecution consecutiveness &c. >Adj. Sgm: N 1 succession succession round suite progression …   English dictionary for students

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