The last post is the WINNER!

[sun rise]

So far and yet mine is so near.

 

[Wu Wei]

So near, yet so far...no wait....nevermind....it's here now..... I win

 

[sun rise]

So near, yet so far...no wait....nevermind....it's here now..... I win

"And nothing else matters" Metallica

 

[Wu Wei]

"And nothing else matters" Metallica

Sad but true

 

[sun rise]

And your agreement means I won.

 

[Stevicus]

Actually, I think everyone can agree that I win.

 

[sun rise]

There's a grumpy, disagreeable bear that will contest your assertion.

 

[Revoltingest]

Winning by being back in Revoltistan.

 

[sun rise]

That's revolting.

 

[Revoltingest]

Revoltingest.

 

[sun rise]

Revoltingest.

So you like to claim. There are plenty of candidates for that, well I would not call it honor, but instead notoriety.

 

[Stevicus]

Is there anyone revoltinger?

 

[sun rise]

Is there anyone revoltinger?

You've tempted me to get into a political rant so you lose.

 

[Revoltingest]

Is there anyone revoltinger?

The most revolting one can be is revoltingest.

 

[sun rise]

The most revolting one can be is revoltingest.

In this universe but in the multiverse, there's an infinity of revoltingests determined by the space-time laws of each universe.

 

[Revoltingest]

In this universe but in the multiverse, there's an infinity of revoltingests determined by the space-time laws of each universe.

Infinite revoltingest....everyone's dream.

 

[beenherebeforeagain]

winning without resorting to infinities

 

[sun rise]

I'm looking forward to the battle of the @Revoltingest s since there will be a different one in each universe. How will it take place, I wonder. Would a different universe's one claim the title by being, I don't know, acclaimed as revoltingest by executing anyone caught possessing bacon? Bacon lovers would agree that person is revoltingest.

 

[sun rise]

winning without resorting to infinities

is the cardinality of the set of all countable ordinal numbers, called ω 1 {\displaystyle \omega _{1}}

or sometimes Ω {\displaystyle \Omega }

. This ω 1 {\displaystyle \omega _{1}}

is itself an ordinal number larger than all countable ones, so it is an uncountable set. Therefore, ℵ 1 {\displaystyle \aleph _{1}}

is distinct from ℵ 0 {\displaystyle \aleph _{0}}

. The definition of ℵ 1 {\displaystyle \aleph _{1}}

implies (in ZF, Zermelo–Fraenkel set theory without the axiom of choice) that no cardinal number is between ℵ 0 {\displaystyle \aleph _{0}}

and ℵ 1 {\displaystyle \aleph _{1}}

. If the axiom of choice is used, it can be further proved that the class of cardinal numbers is totally ordered, and thus ℵ 1 {\displaystyle \aleph _{1}}

is the second-smallest infinite cardinal number. Using the axiom of choice we can show one of the most useful properties of the set ω 1 {\displaystyle \omega _{1}}

: any countable subset of ω 1 {\displaystyle \omega _{1}}

has an upper bound in ω 1 {\displaystyle \omega _{1}}

. (This follows from the fact that the union of a countable number of countable sets is itself countable, one of the most common applications of the axiom of choice.) This fact is analogous to the situation in ℵ 0 {\displaystyle \aleph _{0}}

: every finite set of natural numbers has a maximum which is also a natural number, and finite unions of finite sets are finite.

 

[Revoltingest]

I'm looking forward to the battle of the @Revoltingest s since there will be a different one in each universe. How will it take place, I wonder. Would a different universe's one claim the title by being, I don't know, acclaimed as revoltingest by executing anyone caught possessing bacon? Bacon lovers would agree that person is revoltingest.

I assume that all others in the revoltingverse are revoltingest.