Veblen ordinal
Encyclopedia
In mathematics, the Veblen ordinal is either of two large countable ordinal
s:
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 relevance to proof theory still have computable ordinal...
s:
- The small Veblen ordinalSmall Veblen ordinalIn 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 is somewhat smaller than the small Veblen ordinal....
- The large Veblen ordinalLarge Veblen ordinalIn 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...