Struōscape
At its most trivial scale, the Universe contains within it something called Struōscape.
The Struōscape is the possibility and actuality of "transcending" totality that transcends it. Struōscape is a state of continuous eternal transcendence beyond the ever-growing inaccessible layers of reality. Struōscape is the complete totalizing of a transconceptual boundless transhierarchical set of absolute infinite multiplicities of hierarchies of boundless deserts (with each grain of sand containing all the variants and (possible and impossible) expressions of mathematics that can logically (and illogically and paraconceptually) exist by several orders of magnitude) and metadiscourses.
Struōscape encompasses the maximum reality and expressions of:
- "Small" cardinals: 0, 1, 2, ..., {\displaystyle \aleph _{0},\aleph _{1}},..., {\displaystyle \kappa =\aleph _{\kappa }}, ... (so on...)
- worldly cardinals
- weakly and strongly inaccessible, α-inaccessible, and hyper inaccessible cardinals
- weakly and strongly Mahlo, α-Mahlo, and hyper Mahlo cardinals.
- reflecting cardinals
- weakly compact (= Π1
1-indescribable), Πm
n-indescribable, totally indescribable cardinals - λ-unfoldable, unfoldable cardinals, ν-indescribable cardinals and λ-shrewd, shrewd cardinals
- ethereal cardinals, subtle cardinals
- almost ineffable, ineffable, n-ineffable, totally ineffable cardinals
- remarkable cardinals
- α-Erdős cardinals (for countable α), 0# (zero sharp), γ-iterable, γ-Erdős cardinals (for uncountable γ)
- almost Ramsey, Jónsson, Rowbottom, Ramsey, ineffably Ramsey, completely Ramsey, strongly Ramsey, super Ramsey cardinals
- measurable cardinals, 0†(zero dagger)
- λ-strong, strong cardinals, tall cardinals
- Woodin, weakly hyper-Woodin, Shelah, hyper-Woodin cardinals
- superstrong cardinals
- subcompact, strongly compact, supercompact, hypercompact cardinals
- η-extendible, extendible cardinals
- Vopěnka cardinals, Shelah for supercompactness, high jump cardinals
- n-superstrong (n≥2), n-almost huge, n-super almost huge, n-huge, n-superhuge cardinals
- Wholeness axiom, rank-into-rank (Axioms I3, I2, I1, and I0)
- Berkeley cardinal, hyper-Berkeley cardinal, club Berkeley, limit club Berkeley cardinal
- weakly Reinhardt, Reinhardt, super Reinhardt, totally Reinhardt cardinal
- Absolute Infinite (symbol: Ω) is an extension of the idea of infinity that can be thought of as a concept that transcends any conceivable or inconceivable quantity, either finite or transfinite. It is a nonvanishing system O of all [ordinal] numbers; an inconsistent, absolutely infinite multiplicity.
Each molecule in each individual grain of sand in the desert represented above contains the hierarchy of cardinals listed above, where each cardinal is constantly ascending. Even after superseding all expressions of infinity, each one will continue to transcend even higher eternally.
The Desert
The Desert is effectively visualized as how you would look at an average desert, expect boundlessly eternal. There is no beginning and no end.
An individual grain of sand in the Desert contains the ultimate mathematical universe hypothesis. This level considers all worlds to be equally real which can be described by different mathematical structures.
Any conceivable (and inconceivable) parallel world theory can be described here and "subsumes all other ensembles, therefore bringing closure to the hierarchy of infinite realities.
The Desert is ever-expanding, forever transcending itself beyond any expressions of beyond dimensional reality and presence, and by qualitatively superior magnitudes greater than the last.
Observation
Because certain observations cannot be predicted absolutely, there is a collection of possible observations, each with a different probability. Each of these possible observations corresponds to a different universe. Every hierarchical quantum branch in infinite-dimensional Hilbert space exists here. Beyond the former layer, is the ultimate mathematical universe hypothesis. This layer considers all worlds to be equally real which can be described by different abstract mathematical structures. (Note: this contains any Theory Of Everything which is definable in purely formal terms, which is also a mathematical structure.) Any conceivable parallel world theory can be described within the Ultimate Ensemble and “list all other ensembles”, therefore it creates a closure to the hierarchy of transfictional verses.