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.

**Physics Forums - The Fusion of Science and Community**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# A revolution in set theory

Loading...

Similar Threads for revolution theory | Date |
---|---|

I Countability of ℚ | Feb 12, 2018 |

A Is there a decidable set theory? | Feb 8, 2018 |

About the strategy of reducing the total suffering in a queue | Dec 28, 2017 |

B Empty domains and the vacuous truth | Dec 26, 2017 |

**Physics Forums - The Fusion of Science and Community**