If U [i.e., set theory] were to be equippable with a vector space type morphology...Prolly more of a module than a v.s.. Yes, a field over a ring, perhaps, if that's possible...(adsbygoogle = window.adsbygoogle || []).push({});

dim(U)...:

0. emptiness

1. isolation

2. expansion

3. containment

4. transition

5. hyperspace

6. hyper-hyperspace

...

n. (n>4) n-space.

...

Ultra-"space" I == aleph-null

Ultra-"space" II == alpeh 1

...

Ultra-"space" n == aleph n

...

Ultra Power Space == Omega Set == Omega Cardinal == Omega Ordinal == The Entire Multi-Universe

... where == means morphomorphic.

That kind of seems like a combination of category theory and set theory to me.

It goes back to the cone. The tip is 0 - emptiness and a spiral is drawn to infinity whilst a line goes down from the origin. At each intersection is another "number" of some sort, leading to Omega.

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# A revolution in set theory

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