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== Ordverse == |
== Ordverse == |
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Ord, the proper class of all ordinals and smallest ordinal of type two that is not a set, Ord is also often used as an index. As is the class of all ordinals, an Ord-verse contains archverses of all ordinal indices. The -verse, which in some interpretations is an [[Omniverse (Reality)|omniverse]]. |
Ord, the proper class of all ordinals and smallest ordinal of type two that is not a set, Ord is also often used as an index. As is the class of all ordinals, an Ord-verse contains archverses of all ordinal indices. The -verse, which in some interpretations is an [[Omniverse (Reality)|omniverse]]. |
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Latest revision as of 20:42, 27 March 2020
Soupcount is a means of generalizing archverses, which can be indexed with natural numbers, to a larger collection of indices. Most often, this consists of ordinal numbers but one can generalize them to surreal numbers or ordinals of type two. One commonly considered generalization is
- An -verse for ordinal is a collection of -verses
- A -verse for limit ordinal contains -verses for all.
Archverses of the latter case are known as lodeverses and archverses that are fixed points of a function are called cynoverses with respect to. The first few archverses above a lodeverse are known as the lodeverse's plateau.
Ordverse
Ord, the proper class of all ordinals and smallest ordinal of type two that is not a set, Ord is also often used as an index. As is the class of all ordinals, an Ord-verse contains archverses of all ordinal indices. The -verse, which in some interpretations is an omniverse.