What is the biggest ordinal that exists metamathematically?

1. Mar 9, 2015

Garrulo

What is the biggest ordinal that exists metamathematically??

2. Mar 9, 2015

SteamKing

Staff Emeritus
Whatever the biggest ordinal is, I can name it plus 1. Discuss.

3. Mar 9, 2015

Garrulo

Well, if there is not a maximum cardinal metamatemathically existing, ¿which is the colection of this matematical sets than exist metamathematically

4. Mar 10, 2015

Philip

5. Mar 11, 2015

OCR

LoL... Damn, I wish I had a slightly better comprehensive math background...

6. Mar 11, 2015

Garrulo

But the Graham´s number is mathematically finite, isn´t it? I talk about ordinal numbers transfinite

7. Mar 11, 2015

lavinia

Given any set - infinite or not - there is another set that is larger. If the set is infinite, then the other set is a "larger infinity" which means that it is so big that there is no way to ever match it up with the first.

It follows that there is no largest set and the idea of a set of everything makes no sense.

8. Mar 11, 2015

Garrulo

Not a set, but it exists the concept of propper class. A class that can´t be in another class