well-ordered

  • 71Constructible universe — Gödel universe redirects here. For Kurt Gödel s cosmological solution to the Einstein field equations, see Gödel metric. In mathematics, the constructible universe (or Gödel s constructible universe), denoted L, is a particular class of sets… …

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  • 72Paradoxes of set theory — This article contains a discussion of paradoxes of set theory. As with most mathematical paradoxes, they generally reveal surprising and counter intuitive mathematical results, rather than actual logical contradictions within modern axiomatic set …

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  • 73Russia — /rush euh/, n. 1. Also called Russian Empire. Russian, Rossiya. a former empire in E Europe and N and W Asia: overthrown by the Russian Revolution 1917. Cap.: St. Petersburg (1703 1917). 2. See Union of Soviet Socialist Republics. 3. See Russian… …

    Universalium

  • 74Censorship of Books — • Either ecclesiastical or civil, according as it is practiced by the spiritual or secular authority, and it may be exercised in two ways, viz.: before the printing or publishing of a work, by examining it (censura prævia); and after the printing …

    Catholic encyclopedia

  • 75Surreal number — In mathematics, the surreal number system is an arithmetic continuum containing the real numbers as well as infinite and infinitesimal numbers, respectively larger or smaller in absolute value than any positive real number. The surreals share… …

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  • 76Zorn's lemma — Zorn s lemma, also known as the Kuratowski Zorn lemma, is a proposition of set theory that states:Every partially ordered set in which every chain (i.e. totally ordered subset) has an upper bound contains at least one maximal element.It is named… …

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  • 77Natural number — Natural numbers can be used for counting (one apple, two apples, three apples, ...) from top to bottom. In mathematics, the natural numbers are the ordinary whole numbers used for counting ( there are 6 coins on the table ) and ordering ( this is …

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  • 78Cofinality — Not to be confused with cofiniteness. In mathematics, especially in order theory, the cofinality cf(A) of a partially ordered set A is the least of the cardinalities of the cofinal subsets of A. This definition of cofinality relies on the axiom… …

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  • 79Order of Preachers —     Order of Preachers     † Catholic Encyclopedia ► Order of Preachers     As the Order of the Friars Preachers is the principal part of the entire Order of St. Dominic, we shall include under this title the two other parts of the order: the… …

    Catholic encyclopedia

  • 80Tiananmen Square protests of 1989 — Tiananmen Square as seen from the Tiananmen Gate in 2004. The Tiananmen Square protests of 1989, also known as the June Fourth Incident in Chinese[1] (in part to avoid confusion with two prior Tiananmen Square protests), were a series o …

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