independent
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. . 2011.

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  • independent — in‧de‧pen‧dent [ˌɪndˈpendənt◂] 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 — [in΄dē pen′dənt, in΄dipen′dənt] adj. [ML independens: see IN 2 & DEPENDENT] 1. free from the influence, control, or determination of another or others; specif., a) free from the rule of another; controlling or governing oneself; self governing b) …   English World dictionary

  • 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

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  • independent — ► ADJECTIVE 1) free from outside control or influence. 2) (of a country) self governing. 3) not depending on another for livelihood or subsistence. 4) not connected with another; separate. 5) (of broadcasting, a school, etc.) not supported by… …   English terms dictionary

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