- The question of whether an axiom is independent of others is frequently of great importance. It may be investigated in model theory by finding a model for the set consisting of the other axioms and the negation of the one in question. Important independence results include the independence of the axiom of choice from the rest of classical set theory, and that of the continuum hypothesis from the rest of set theory plus the axiom of choice.
Philosophy dictionary. Academic. 2011.
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Independent — may refer to:*Independent bookstore, a bookstore that is not part of a chain *Independent business, privately owned companies * Independent brewery, craft brewer with less than 25% owned by alcoholic beverage industry member *Independent city, a… … Wikipedia
independent — in‧de‧pen‧dent [ˌɪndˈpendənt◂] adjective not owned, controlled, or financed by another organization or the government: • There are plans to split the company into a number of smaller independent companies. * * * Ⅰ. independent UK US… … Financial and business terms
independent — in·de·pen·dent adj 1: not dependent on others (as parents) for livelihood; esp: not a dependent declared she was independent on her financial aid form 2 a: not affiliated with another usu. larger unit an independent adjuster b: not contingent on… … Law dictionary
Independent — [ˌɪndɪˈpendənt] (engl. „unabhängig“), kurz Indie, ist eine Sammelbezeichnung für kreative Ausdrucksformen, die von einer gemeinsamen Do it yourself Ideologie geprägt sind, obwohl sich die einzelnen Erscheinungen sehr unterscheiden können. Sie… … Deutsch Wikipedia
independent — INDEPENDÉNT, Ă, independenţi, te, adj. Care nu depinde de cineva sau de ceva; (despre un popor, un stat) care se bucură de independenţă, liber2, autonom. ♢ loc. prep. Independent de... = fără a ţine seamă de..., indiferent de... 2. (Despre oameni … Dicționar Român
Independent — In de*pend ent, a. [Pref. in not + dependent: cf. F. ind[ e]pendant.] [1913 Webster] 1. Not dependent; free; not subject to control by others; not relying on others; not subordinate; as, few men are wholly independent. [1913 Webster] A dry, but… … The Collaborative International Dictionary of English
Independent — n a politician who does not belong to a political party Independent 2 Independent, the trademark a serious British newspaper which generally supports ↑liberal political idea.. The same company produces a similar paper on Sundays, called the… … Dictionary of contemporary English
Independent — In de*pend ent, n. 1. (Eccl.) One who believes that an organized Christian church is complete in itself, competent to self government, and independent of all ecclesiastical authority. [1913 Webster] Note: In England the name is often applied… … The Collaborative International Dictionary of English
Independent — (v. lat.), unabhängig; daher Indepentismus, Streben nach Unabhängigkeit … Pierer's Universal-Lexikon
independent — independent:⇨unabhängig(1) … Das Wörterbuch der Synonyme
independent — in|de|pen|dent W2 [ˌındıˈpendənt] adj ▬▬▬▬▬▬▬ 1¦(not owned/controlled by something)¦ 2¦(fair)¦ 3¦(country)¦ 4¦(person)¦ 5 independent study/learning 6 woman/man etc of independent means 7¦(separate)¦ 8¦(politician)¦ ▬▬▬▬▬▬▬ 1.) … Dictionary of contemporary English