Find link

language:

Find link is a tool written by Edward Betts.

searching for Ordinal notation 8 found (22 total)

Buchholz's ordinal (427 words) [view diff] exact match in snippet view article find links to article

bounded by D 0 D ω 0 {\displaystyle D_{0}D_{\omega }0} in Buchholz's ordinal notation ( O T , < ) {\displaystyle {\mathsf {(OT,<)}}} . Lastly, it can be

Rathjen's psi function (1,673 words) [view diff] exact match in snippet view article find links to article

diagonalise over the weakly inaccessible hierarchy. It admits an associated ordinal notation T ( M ) {\displaystyle T(M)} whose limit (i.e. ordinal type) is ψ

Carl B. Allendoerfer Award (114 words) [view diff] case mismatch in snippet view article find links to article

of Models Bernard Grofman 1985 Frederick S. Gass 1985 Constructive Ordinal Notation Systems Judith Grabiner 1984 The Changing Concept of Change: The Derivative

Fast-growing hierarchy (1,561 words) [view diff] exact match in snippet view article find links to article

348) note that in such an attempt "there would even arise problems in ordinal notation". The Wainer hierarchy is the particular fast-growing hierarchy of

Buchholz hydra (1,431 words) [view diff] exact match in snippet view article find links to article

associated to Buchholz's function, which does not necessarily belong to the ordinal notation system O T ⊂ T {\displaystyle OT\subset T} ), preserves fundamental

Well-quasi-ordering (3,049 words) [view diff] exact match in snippet view article find links to article

equals ϑ ( Ω ω ) {\displaystyle \vartheta (\Omega ^{\omega })} in this ordinal notation.) In practice, the wqo's one manipulates are quite often not orderings

Ordinal number (6,738 words) [view diff] exact match in snippet view article find links to article

ordinal powers of ω. However, this cannot form the basis of a universal ordinal notation due to such self-referential representations as ε0 = ωε0. Ordinals

Hydra game (2,298 words) [view diff] exact match in snippet view article find links to article

BH(3)<f_{\varepsilon _{0}}(3)} This system can also be used to create an ordinal notation for infinite ordinals, e.g. ψ 0 ( Ω ω ) = + 0 ( ω ) {\displaystyle