- Veblen ordinal
In mathematics, the Veblen ordinal is either of two
large countable ordinal s:
*Thesmall Veblen ordinal
*Thelarge Veblen ordinal
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Veblen ordinal
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Small Veblen ordinal — In mathematics, the small Veblen ordinal is a certain large countable ordinal, named after Oswald Veblen. It is occasionally called the Ackermann ordinal, though the Ackermann ordinal described by harvtxt|Ackermann|1951 is somewhat smaller than… … Wikipedia
Large Veblen ordinal — In mathematics, the large Veblen ordinal is a certain large countable ordinal, named after Oswald Veblen. There is no standard notation for ordinals beyond the Feferman–Schütte ordinal Γ0. Most systems of notation use symbols such as psi;(α),… … Wikipedia
Ordinal collapsing function — In mathematical logic and set theory, an ordinal collapsing function (or projection function) is a technique for defining (notations for) certain recursive large countable ordinals, whose principle is to give names to certain ordinals much larger … Wikipedia
Ordinal number — This article is about the mathematical concept. For number words denoting a position in a sequence ( first , second , third , etc.), see Ordinal number (linguistics). Representation of the ordinal numbers up to ωω. Each turn of the spiral… … Wikipedia
Ordinal notation — In mathematical logic and set theory, an ordinal notation is a finite sequence of symbols from a finite alphabet which names an ordinal number according to some scheme which gives meaning to the language. There are many such schemes of ordinal… … Wikipedia
Veblen function — In mathematics, the Veblen functions are a hierarchy of functions from ordinals to ordinals, introduced by harvtxt|Veblen|1908. If phi;0 is any continuous strictly increasing function from ordinals to ordinals, then for any non zero ordinal α,… … Wikipedia
Ordinal de Feferman-Schütte — En mathématiques, et plus précisément en théorie des ensembles, l’ordinal de Feferman–Schütte, noté Γ0, est un grand ordinal dénombrable, étudié par Solomon Feferman (en) et Kurt Schütte (en). Définition L … Wikipédia en Français
Fonction de Veblen — En mathématiques, et plus précisément en théorie des ensembles, les fonctions de Veblen forment une suite de fonctions définies sur les ordinaux, introduite en 1908 par Oswald Veblen. Sommaire 1 Les fonctions de Veblen 2 La hiérarchie de Veblen … Wikipédia en Français
Large countable ordinal — In the mathematical discipline of set theory, there are many ways of describing specific countable ordinals. The smallest ones can be usefully and non circularly expressed in terms of their Cantor normal forms. Beyond that, many ordinals of… … Wikipedia
Ackermann ordinal — In mathematics, the Ackermann ordinal is a certain large countable ordinal, named after Wilhelm Ackermann. The term Ackermann ordinal is also occasionally used for the small Veblen ordinal, a somewhat larger ordinal. Unfortunately there is no… … Wikipedia
