Set Theory

You may have observed that throughout this novel, I frequently referenced concepts such as "set theory" and "infinity." I understand that comprehending higher orders of infinity and transcendences can be challenging for you. To facilitate your understanding, I recommend looking up "set theory" on Wikipedia. After you've done so, return here, and I'll do my best to elucidate the points I wish to convey.

Now, back to elucidating the cosmological aspects. Every individual among the Metahumans possesses a crystal ball that houses the Omega-Space and the Alpha-Space. Notably, the Omega-Space exists beyond the Alpha-Space in an inaccessible manner.

The Omega-Space embodies the "Cantor Cardinal," a creation of mine that encompasses and surpasses all existing cardinals, as well as those that might potentially or possibly exist. It comprises an infinite array of realms. Regardless of a cardinal's magnitude, it finds a place within a realm within the Omega-Space, transcended beyond reach. Even cardinals not yet in existence would still be encompassed by it, as a potential notion is an existing concept, and an updated potential transforms into an actual entity. This principle extends to entire cardinal axioms as well.

Allow me to name a few cardinals and axioms. Among the higher ones are the Reinhardt cardinal, Berkeley cardinal, Wholeness axiom, rank-into-rank property, Vopěnka's principle, extendible cardinals, subcompact cardinals, strongly compact cardinals, supercompact cardinals, hypercompact cardinals, superstrong cardinals, Woodin cardinals, weakly hyper-Woodin cardinals, Shelah cardinals, and hyper-Woodin cardinals. However, the list is considerably longer, given the endless potential.

Shifting to the Alpha-Space, it encompasses an infinite city known as the City of Bigger Numbers, constructed from hyper-inaccessible cardinals. This city comprises an infinitely layered tower, with each layer consisting of a hyper-inaccessible cardinal.

Within this city lies a book, which in turn contains a narrative about another city—the City of Big Numbers. This city is built upon strongly inaccessible cardinals and mirrors the previous structure, with an infinitely layered tower of strongly inaccessible cardinals.

Inside this second city exists another book, detailing yet another city—the City of Numbers. This city follows the same pattern as the earlier ones, featuring an infinitely layered tower constructed from inaccessible cardinals. The story within this book describes an infinite city—the City of Small Numbers—along with a tower fashioned from weakly inaccessible cardinals, mirroring the previous arrangements.