ordinal function
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Ordinal utility — theory states that while the utility of a particular good or service cannot be measured using a numerical scale bearing economic meaning in and of itself, pairs of alternative bundles (combinations) of goods can be ordered such that one is… … 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 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
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 analysis — In proof theory, ordinal analysis assigns ordinals (often large countable ordinals) to mathematical theories as a measure of their strength. The field was formed when Gerhard Gentzen in 1934 used cut elimination to prove, in modern terms, that… … Wikipedia
Ordinal arithmetic — In the mathematical field of set theory, ordinal arithmetic describes the three usual operations on ordinal numbers: addition, multiplication, and exponentiation. Each can be defined in essentially two different ways: either by constructing an… … Wikipedia
Ordinal optimization — In mathematical optimization, ordinal optimization is the maximization of functions taking values in a partially ordered set ( poset ). Ordinal optimization has applications in the theory of queuing networks. Contents 1 Mathematical foundations 1 … 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
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
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
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
