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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 $ \alpha + 1 $-verse for ordinal $ \alpha $ is a collection of $ \alpha $-verses
  • A $ \lambda $-verse for limit ordinal $ \lambda $ contains $ \beta $-verses for all $ \beta < \lambda $.

Archverses of the latter case are known as lodeverses and archverses that are fixed points of a function $ f $ are called cynoverses with respect to $ f $. The first few archverses above a lodeverse are known as the lodeverse's plateau. In some interpretations, omniverses and godverses are taken to be $ \omega $-verses, a monocosm is taken to be an $ \omega+1 $-verse, a beyond bubble is taken to be an $ \omega+2 $-verse, the Transcendentem is taken to be an $ \omega+3 $-verse, and the Transcendentem Continuum is taken to be an $ \omega+4 $-verse.

Ordverse

$ {\rm {Ord}} $, the proper class of all ordinals and smallest ordinal of type two that is not a set, is also often used as an index. As $ {\rm {Ord}} $ is the class of all ordinals, an $ {\rm {Ord}} $-verse contains archverses of all ordinal indices. The $ {\rm {Ord}} $-verse, which in some interpretations is an omniverse (sometimes called the "Big Omniverse". Compare with the Soupcountian Small Omniverse at $ \omega $ and Great Omniverse at $ \omega_1 $), is typically used as a benchmark for high-level cosmological and low-level hypercosmological objects.

The successor archverse of the $ {\rm {Ord}} $-verse is the archverse whose index is the smallest ordinal of type two that is not a class—$ {\rm {Ord}}+1 $. In general, archverses whose indices are ordinals of type two are called conglomoverses.

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